Cremona's table of elliptic curves

121680 = 2⁴ · 3² · 5 · 13²

Class	r	Atkin-Lehner	Eigenvalues
121680a (2 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  0  0 13+ -6 -8
Curve Equation t Generators 121680a1 [0,0,0,-4563,338338] 2 [-39:676:1] 121680a2 [0,0,0,-105963,13256698] 2 [143:1014:1]
121680b (2 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  2 -2 13+  2  4
Curve Equation t Generators 121680b1 [0,0,0,-4563,-1067742] 2 [91903:1411948:343] 121680b2 [0,0,0,-187083,-30964518] 2 [1089:32508:1]
121680c (2 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  2  4 13+  8 -2
Curve Equation t Generators 121680c1 [0,0,0,-460863,-6952068162] 2 [1236892468193489394274778:-82481175579689984756271250:255613001332651992827] 121680c2 [0,0,0,-57498363,-165778690662] 2 [-8949165407343:-91640879950950:2033901163]
121680d (1 curve)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  3 -5 13+  3 -8
Curve Equation t Generators 121680d1 [0,0,0,-2028,-79092] 1 [546:2535:8]
121680e (1 curve)	1	2+ 3+ 5+ 13+	2+ 3+ 5+ -3  3 13+ -3  4
Curve Equation t Generators 121680e1 [0,0,0,281892,-1495620932] 1 [49215275863:33884678400963:103823]
121680f (2 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5-  0  0 13+  6 -8
Curve Equation t 121680f1 [0,0,0,-41067,-9135126] 2 121680f2 [0,0,0,-953667,-357930846] 2
121680g (2 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5-  2  2 13+ -2  4
Curve Equation t 121680g1 [0,0,0,-507,39546] 2 121680g2 [0,0,0,-20787,1146834] 2
121680h (2 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5-  2 -4 13+ -8 -2
Curve Equation t 121680h1 [0,0,0,-51207,257484006] 2 121680h2 [0,0,0,-6388707,6139951506] 2
121680i (1 curve)	0	2+ 3+ 5- 13+	2+ 3+ 5-  3  5 13+ -3 -8
Curve Equation t 121680i1 [0,0,0,-18252,2135484] 1
121680j (1 curve)	0	2+ 3+ 5- 13+	2+ 3+ 5- -3 -3 13+  3  4
Curve Equation t 121680j1 [0,0,0,2537028,40381765164] 1
121680k (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  0  0 13+ -2  0
Curve Equation t 121680k1 [0,0,0,-7416903,7774668902] 2 121680k2 [0,0,0,-7447323,7707677978] 4 121680k3 [0,0,0,-329043,21828921842] 2 121680k4 [0,0,0,-15052323,-10700985022] 2
121680l (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  0  0 13+  6  4
Curve Equation t 121680l1 [0,0,0,256542,3337243] 2 121680l2 [0,0,0,-1028703,26728702] 4 121680l3 [0,0,0,-10915203,-13828212398] 2 121680l4 [0,0,0,-11706123,15378723178] 2
121680m (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  0  4 13+  6  4
Curve Equation t 121680m1 [0,0,0,-34983,2491398] 2 121680m2 [0,0,0,-65403,-2491398] 4 121680m3 [0,0,0,238797,-19100718] 2 121680m4 [0,0,0,-856323,-304781022] 2
121680n (4 curves)	2	2+ 3- 5+ 13+	2+ 3- 5+  0 -4 13+  2 -4
Curve Equation t Generators 121680n1 [0,0,0,127257,12333958] 2 [-39:2704:1]&[534:15250:1] 121680n2 [0,0,0,-633243,109221658] 4 [-61:12150:1]&[101:6804:1] 121680n3 [0,0,0,-4587843,-3705385502] 2 [-1339:6084:1]&[2847:79430:1] 121680n4 [0,0,0,-8846643,10124641618] 2 [-2977:100386:1]&[1586:9126:1]
121680o (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  1 -2 13+ -6 -8
Curve Equation t 121680o1 [0,0,0,-6511908,-6397321268] 1
121680p (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -1 -1 13+  0 -1
Curve Equation t 121680p1 [0,0,0,-1443,-79742] 1
121680q (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -1  5 13+ -3 -6
Curve Equation t 121680q1 [0,0,0,14782092,14395262492] 1
121680r (1 curve)	2	2+ 3- 5+ 13+	2+ 3- 5+  2 -1 13+ -6 -6
Curve Equation t Generators 121680r1 [0,0,0,-1443,-33982] 1 [53:196:1]&[61:324:1]
121680s (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  3  2 13+  4  4
Curve Equation t 121680s1 [0,0,0,-2028,-457652] 1
121680t (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  3  5 13+  2  5
Curve Equation t 121680t1 [0,0,0,-85683,-49753262] 1
121680u (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  3  5 13+ -5  1
Curve Equation t 121680u1 [0,0,0,-85683,9625057] 1
121680v (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  3 -5 13+ -3 -5
Curve Equation t 121680v1 [0,0,0,-9243,339417] 1
121680w (1 curve)	2	2+ 3- 5+ 13+	2+ 3- 5+ -3 -1 13+ -1 -1
Curve Equation t Generators 121680w1 [0,0,0,-3783,89557] 1 [-12:365:1]&[36:5:1]
121680x (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -3  3 13+  3 -5
Curve Equation t 121680x1 [0,0,0,-85683,371293] 1
121680y (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  4  0 13+  2  4
Curve Equation t 121680y1 [0,0,0,5577,-74698] 2 121680y2 [0,0,0,-24843,-628342] 4 121680y3 [0,0,0,-207363,35912162] 2 121680y4 [0,0,0,-329043,-72602062] 2
121680z (4 curves)	2	2+ 3- 5+ 13+	2+ 3- 5+ -4 -4 13+  6  0
Curve Equation t Generators 121680z1 [0,0,0,-169338,26757263] 2 [-377:6084:1]&[139:2430:1] 121680z2 [0,0,0,-237783,3088982] 4 [-419:5400:1]&[589:8208:1] 121680z3 [0,0,0,948597,24681098] 2 [13:6084:1]&[481:24336:1] 121680z4 [0,0,0,-2519283,-1533273118] 2 [-949:1690:1]&[-926:2358:1]
121680ba (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  0  6 13-  2 -2
Curve Equation t Generators 121680ba1 [0,0,0,-1443,16562] 2 [-13:182:1] 121680ba2 [0,0,0,3237,101738] 2 [1:324:1]
121680bb (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  2  0 13- -6  2
Curve Equation t Generators 121680bb1 [0,0,0,-858,-8957] 2 [39:130:1] 121680bb2 [0,0,0,897,-40898] 2 [494:10998:1]
121680bc (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+ -2 -4 13-  2  6
Curve Equation t Generators 121680bc1 [0,0,0,-88569858,285543252943] 2 [-1824312447818:-3597532146325125:6455635928] 121680bc2 [0,0,0,127647897,1462157032102] 2 [40993165531170071322054:-7896611063594448617828125:4063324396392906904]
121680bd (1 curve)	1	2+ 3- 5+ 13-	2+ 3- 5+ -3 -3 13- -1 -8
Curve Equation t Generators 121680bd1 [0,0,0,-2557308,-1587648868] 1 [1725480367:415102280697:29791]
121680be (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+ -4  4 13-  8  0
Curve Equation t Generators 121680be1 [0,0,0,-29523,-4269278] 2 [4221:274000:1] 121680be2 [0,0,0,-614523,-185268278] 2 [34002:2175971:8]
121680bf (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  0 -2 13+ -2  2
Curve Equation t Generators 121680bf1 [0,0,0,-30927,-2060786] 2 [8395530:-290511338:6859] 121680bf2 [0,0,0,-507,-5936294] 2 [4875:340366:1]
121680bg (6 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  0  4 13+ -2 -4
Curve Equation t Generators 121680bg1 [0,0,0,-14138202,22145775379] 2 [62313146215:-8394778049328:3307949] 121680bg2 [0,0,0,-231344607,1354359539806] 4 [75365:20297376:1] 121680bg3 [0,0,0,-236485587,1291015468834] 4 [-15415:1128492:1] 121680bg4 [0,0,0,-3701506107,86679384534106] 2 [-40378:13050180:1] 121680bg5 [0,0,0,257839413,5978303983834] 2 [298935:-163696442:1] 121680bg6 [0,0,0,-813066267,-7450293588374] 2 [-19809:939550:1]
121680bh (6 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  0  4 13+  6 -4
Curve Equation t Generators 121680bh1 [0,0,0,-23322,1368731] 2 [1033505:28279584:1331] 121680bh2 [0,0,0,-30927,399854] 4 [3085:171072:1] 121680bh3 [0,0,0,121173,3168074] 2 [493350:79013584:35937] 121680bh4 [0,0,0,-304707,-64376494] 4 [-335:324:1] 121680bh5 [0,0,0,-122187,-140779366] 2 [679:9450:1] 121680bh6 [0,0,0,-4867707,-4133659894] 2 [12415:1359774:1]
121680bi (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5-  1  1 13+  0  1
Curve Equation t Generators 121680bi1 [0,0,0,-243867,-175193174] 1 [857:15660:1]
121680bj (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -1  2 13+ -6  8
Curve Equation t Generators 121680bj1 [0,0,0,-38532,-2911844] 1 [497:10035:1]
121680bk (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  2 -4 13+  0  2
Curve Equation t Generators 121680bk1 [0,0,0,1094613,-466251734] 2 [1277:54900:1] 121680bk2 [0,0,0,-6510387,-4480170734] 2 [-1483:43740:1]
121680bl (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5- -2  0 13+  4  6
Curve Equation t Generators 121680bl1 [0,0,0,-507,2851706] 2 [-13:1690:1] 121680bl2 [0,0,0,-304707,63752546] 2 [-65:9126:1]
121680bm (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -2  1 13+ -6  6
Curve Equation t Generators 121680bm1 [0,0,0,-243867,-74658454] 1 [8450:232713:8]
121680bn (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5-  3  1 13+ -1  1
Curve Equation t Generators 121680bn1 [0,0,0,-639327,196756729] 1 [0:14027:1]
121680bo (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5-  3 -3 13+  3  5
Curve Equation t Generators 121680bo1 [0,0,0,-507,169] 1 [0:13:1]
121680bp (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -3 -2 13+  4 -4
Curve Equation t Generators 121680bp1 [0,0,0,-342732,-1005461444] 1 [1598707:23651685:1331]
121680bq (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -3  3 13+  1 -6
Curve Equation t Generators 121680bq1 [0,0,0,-160212,37849916] 1 [-143:7605:1]
121680br (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -3  5 13+ -3  5
Curve Equation t Generators 121680br1 [0,0,0,-1562067,745699149] 1 [508:9125:1]
121680bs (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -3 -5 13+  2 -5
Curve Equation t Generators 121680bs1 [0,0,0,-507,-22646] 1 [65:-468:1]
121680bt (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -3 -5 13+ -5 -1
Curve Equation t Generators 121680bt1 [0,0,0,-507,4381] 1 [12:5:1]
121680bu (4 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  4  0 13+ -2  0
Curve Equation t Generators 121680bu1 [0,0,0,-3491202,-2116794121] 2 [-80016625:-1328514408:68921] 121680bu2 [0,0,0,-53387607,-150139469194] 4 [15065024553575815:4897968922814127264:141828313375] 121680bu3 [0,0,0,-50923587,-164624457166] 2 [178430941:18220304050:12167] 121680bu4 [0,0,0,-854194107,-9609105685894] 2 [145734043:94762650060:343]
121680bv (4 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  4 -4 13+ -6  0
Curve Equation t Generators 121680bv1 [0,0,0,-30927,7430254] 2 [-130:3042:1] 121680bv2 [0,0,0,-791427,270411154] 4 [53:15120:1] 121680bv3 [0,0,0,-1095627,43417114] 2 [-590:89019:8] 121680bv4 [0,0,0,-12655227,17328182794] 4 [2250:15638:1]
121680bw (4 curves)	1	2+ 3- 5- 13+	2+ 3- 5- -4 -4 13+ -2  4
Curve Equation t Generators 121680bw1 [0,0,0,-3042,59319] 2 [615:15192:1] 121680bw2 [0,0,0,-10647,-355914] 4 [-75:144:1] 121680bw3 [0,0,0,19773,-2016846] 2 [195:-3042:1] 121680bw4 [0,0,0,-162747,-25269894] 2 [2470:121004:1]
121680bx (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -5 -1 13+  3  6
Curve Equation t Generators 121680bx1 [0,0,0,-525252,-146522324] 1 [95225:29384199:1]
121680by (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  0 -6 13-  2  2
Curve Equation t 121680by1 [0,0,0,-243867,36386714] 2 121680by2 [0,0,0,547053,223518386] 2
121680bz (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  2  4 13-  2 -6
Curve Equation t 121680bz1 [0,0,0,-524082,129969619] 2 121680bz2 [0,0,0,755313,665524366] 2
121680ca (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5- -2  0 13- -6 -2
Curve Equation t 121680ca1 [0,0,0,-145002,-19678529] 2 121680ca2 [0,0,0,151593,-89852906] 2
121680cb (1 curve)	0	2+ 3- 5- 13-	2+ 3- 5-  3  3 13- -1  8
Curve Equation t 121680cb1 [0,0,0,-15132,-722644] 1
121680cc (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  4 -4 13-  8  0
Curve Equation t 121680cc1 [0,0,0,-4989387,-9379603766] 2 121680cc2 [0,0,0,-103854387,-407034406766] 2
121680cd (1 curve)	0	2- 3+ 5+ 13+	2- 3+ 5+  0 -3 13+  2 -2
Curve Equation t 121680cd1 [0,0,0,-60723,6766578] 1
121680ce (1 curve)	0	2- 3+ 5+ 13+	2- 3+ 5+  0 -3 13+ -2  2
Curve Equation t 121680ce1 [0,0,0,-1140243,-550598958] 1
121680cf (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  0  6 13+ -4  4
Curve Equation t 121680cf1 [0,0,0,18252,-3737097] 2 121680cf2 [0,0,0,-278343,-52319358] 2
121680cg (1 curve)	2	2- 3+ 5+ 13+	2- 3+ 5+ -1 -1 13+ -5  0
Curve Equation t Generators 121680cg1 [0,0,0,8112,1748812] 1 [-91:507:1]&[62:1578:1]
121680ch (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+ -1 -3 13+ -3 -4
Curve Equation t 121680ch1 [0,0,0,-113568,-14798992] 1 121680ch2 [0,0,0,292032,-78775632] 1
121680ci (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  2  4 13+  4  6
Curve Equation t 121680ci1 [0,0,0,-65403,7175402] 2 121680ci2 [0,0,0,-1079403,431635802] 2
121680cj (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  2 -4 13+  4  6
Curve Equation t 121680cj1 [0,0,0,45442917,-69925689782] 2 121680cj2 [0,0,0,-214141083,-603786144182] 2
121680ck (4 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  2  6 13+ -6 -4
Curve Equation t 121680ck1 [0,0,0,15717,-206518] 2 121680ck2 [0,0,0,-65403,-1682902] 2 121680ck3 [0,0,0,-187083,35472762] 2 121680ck4 [0,0,0,-3107403,2108315898] 2
121680cl (1 curve)	0	2- 3+ 5+ 13+	2- 3+ 5+  4  5 13+  2  6
Curve Equation t 121680cl1 [0,0,0,177957,-26218998] 1
121680cm (4 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+ -4  0 13+  6 -4
Curve Equation t 121680cm1 [0,0,0,-673803,-215231302] 2 121680cm2 [0,0,0,-10813803,-13687235302] 2 121680cm3 [0,0,0,2368197,-1094910102] 2 121680cm4 [0,0,0,-12233403,-9864631062] 2
121680cn (1 curve)	2	2- 3+ 5+ 13+	2- 3+ 5+ -4  5 13+ -2 -6
Curve Equation t Generators 121680cn1 [0,0,0,117,442] 1 [-3:8:1]&[-1:18:1]
121680co (2 curves)	1	2- 3+ 5+ 13-	2- 3+ 5+  4  0 13- -4  4
Curve Equation t Generators 121680co1 [0,0,0,117,-3718] 2 [26:130:1] 121680co2 [0,0,0,-3003,-60502] 2 [74:350:1]
121680cp (2 curves)	1	2- 3+ 5+ 13-	2- 3+ 5+ -4  0 13-  4 -4
Curve Equation t Generators 121680cp1 [0,0,0,177957,220548042] 2 [1221:47520:1] 121680cp2 [0,0,0,-4567563,3588918138] 2 [14162:259325:8]
121680cq (1 curve)	1	2- 3+ 5- 13+	2- 3+ 5-  0  3 13+  2  2
Curve Equation t Generators 121680cq1 [0,0,0,-10262187,14866171866] 1 [2197:54080:1]
121680cr (1 curve)	1	2- 3+ 5- 13+	2- 3+ 5-  0  3 13+ -2 -2
Curve Equation t Generators 121680cr1 [0,0,0,-6747,-250614] 1 [157:-1600:1]
121680cs (2 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  0 -6 13+  4  4
Curve Equation t Generators 121680cs1 [0,0,0,2028,138411] 2 [585:14196:1] 121680cs2 [0,0,0,-30927,1937754] 2 [130:338:1]
121680ct (1 curve)	1	2- 3+ 5- 13+	2- 3+ 5- -1  1 13+  5  0
Curve Equation t Generators 121680ct1 [0,0,0,73008,-47217924] 1 [442:8450:1]
121680cu (2 curves)	1	2- 3+ 5- 13+	2- 3+ 5- -1  3 13+  3 -4
Curve Equation t Generators 121680cu1 [0,0,0,32448,2917616] 1 [51415:1145313:343] 121680cu2 [0,0,0,-1022112,399572784] 1 [1833:68445:1]
121680cv (2 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  2  4 13+ -4  6
Curve Equation t Generators 121680cv1 [0,0,0,408986253,1887993624114] 2 [828948214672411:336367117688330240:5115120067] 121680cv2 [0,0,0,-1927269747,16302225892914] 2 [282733323575684858379113783:110871526565298813118865241130:1714935256832905048241]
121680cw (2 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  2 -4 13+ -4  6
Curve Equation t Generators 121680cw1 [0,0,0,-588627,-193735854] 2 [2857:146440:1] 121680cw2 [0,0,0,-9714627,-11654166654] 2 [1299361:26364430:343]
121680cx (4 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  2 -6 13+  6 -4
Curve Equation t Generators 121680cx1 [0,0,0,-20787,-1313806] 2 [2276085:26877248:9261] 121680cx2 [0,0,0,-345267,-78085774] 2 [985:23184:1] 121680cx3 [0,0,0,141453,5575986] 2 [-23:1520:1] 121680cx4 [0,0,0,-588627,45438354] 2 [-767:6760:1]
121680cy (1 curve)	1	2- 3+ 5- 13+	2- 3+ 5-  4 -5 13+ -2  6
Curve Equation t Generators 121680cy1 [0,0,0,19773,971074] 1 [1090:19911:8]
121680cz (4 curves)	1	2- 3+ 5- 13+	2- 3+ 5- -4  0 13+ -6 -4
Curve Equation t Generators 121680cz1 [0,0,0,263133,40552226] 2 [3367:197730:1] 121680cz2 [0,0,0,-1359267,365356706] 2 [-65:21294:1] 121680cz3 [0,0,0,-6064227,5811245154] 2 [663:45630:1] 121680cz4 [0,0,0,-97324227,369555353154] 2 [5343:45630:1]
121680da (1 curve)	1	2- 3+ 5- 13+	2- 3+ 5- -4 -5 13+  2 -6
Curve Equation t Generators 121680da1 [0,0,0,1053,-11934] 1 [30:216:1]
121680db (2 curves)	0	2- 3+ 5- 13-	2- 3+ 5-  4  0 13-  4  4
Curve Equation t 121680db1 [0,0,0,1053,100386] 2 121680db2 [0,0,0,-27027,1633554] 2
121680dc (2 curves)	0	2- 3+ 5- 13-	2- 3+ 5- -4  0 13- -4 -4
Curve Equation t 121680dc1 [0,0,0,19773,-8168446] 2 121680dc2 [0,0,0,-507507,-132922894] 2
121680dd (4 curves)	1	2- 3- 5+ 13+	2- 3- 5+  0  0 13+  6  0
Curve Equation t Generators 121680dd1 [0,0,0,-329043,70466578] 2 [-273:11830:1] 121680dd2 [0,0,0,-815763,-186424238] 4 [3353:186480:1] 121680dd3 [0,0,0,2347917,-1280424782] 2 [737:29160:1] 121680dd4 [0,0,0,-11766963,-15533435918] 2 [1469489:38637990:343]
121680de (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+  1  3 13+  3  7
Curve Equation t Generators 121680de1 [0,0,0,-9633,-346957] 1 [-3484:8125:64] 121680de2 [0,0,0,-770133,-260133757] 1 [-43160084:14425:85184]
121680df (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -1  2 13+ -2  0
Curve Equation t Generators 121680df1 [0,0,0,-32216808,162226822732] 1 [-5092274:637607970:1331]
121680dg (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -1 -3 13+  3  5
Curve Equation t Generators 121680dg1 [0,0,0,-273,1703] 1 [14:25:1] 121680dg2 [0,0,0,-2613,-50713] 1 [1886:81875:1]
121680dh (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -1 -3 13+ -3  2
Curve Equation t Generators 121680dh1 [0,0,0,28392,518492] 1 [598:15210:1] 121680dh2 [0,0,0,-336648,-85849972] 1 [260806:3391830:343]
121680di (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -1 -3 13+  6  5
Curve Equation t Generators 121680di1 [0,0,0,-1443,22178] 1 [1:144:1] 121680di2 [0,0,0,7917,35282] 1 [313:5760:1]
121680dj (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -1 -5 13+  7 -6
Curve Equation t Generators 121680dj1 [0,0,0,-1614288,-1240197712] 1 [15856529:809806257:4913]
121680dk (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -1 -6 13+  0 -4
Curve Equation t Generators 121680dk1 [0,0,0,42432,1746992] 1 [578:18225:8] 121680dk2 [0,0,0,-463008,-149682832] 1 [360002:76359375:8]
121680dl (4 curves)	1	2- 3- 5+ 13+	2- 3- 5+  2  0 13+  0  2
Curve Equation t Generators 121680dl1 [0,0,0,-146523,138573578] 2 [221:-10816:1] 121680dl2 [0,0,0,-5013723,4301976458] 2 [-1937:82134:1] 121680dl3 [0,0,0,1313637,-3661638838] 2 [11453:1230320:1] 121680dl4 [0,0,0,-29106363,-57365106838] 2 [-401245:6835374:125]
121680dm (4 curves)	1	2- 3- 5+ 13+	2- 3- 5+  2  0 13+  6 -4
Curve Equation t Generators 121680dm1 [0,0,0,-2028,24167] 2 [834704:11638523:4096] 121680dm2 [0,0,0,5577,162578] 2 [806:22984:1] 121680dm3 [0,0,0,-62868,-6065917] 2 [32185059367701968:104471310740475575:109379943092224] 121680dm4 [0,0,0,-55263,-7588438] 2 [186772118:5096127400:226981]
121680dn (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  2 -1 13+ -2  6
Curve Equation t Generators 121680dn1 [0,0,0,-6123,-1151462] 1 [3351:512:27]
121680do (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+  2  3 13+ -6  2
Curve Equation t Generators 121680do1 [0,0,0,-20649603,36206265602] 1 [22562:160191:8] 121680do2 [0,0,0,41042157,185537339858] 1 [-358950263302:-50863463196525:170031464]
121680dp (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+  2 -4 13+ -2  0
Curve Equation t Generators 121680dp1 [0,0,0,-427908,107738683] 2 [12029784:274520051:13824] 121680dp2 [0,0,0,-420303,111752602] 2 [85098:4684004:27]
121680dq (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+  2 -4 13+ -8 -6
Curve Equation t Generators 121680dq1 [0,0,0,96837,-32194838] 2 [1517:60048:1] 121680dq2 [0,0,0,-1119963,-408672758] 2 [-523:5832:1]
121680dr (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  2 -5 13+  2  2
Curve Equation t Generators 121680dr1 [0,0,0,971954997,4876488517498] 1 [186791617332144475726185:253756203596542246168056064:97735517165170199125]
121680ds (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -2  6 13+  2 -2
Curve Equation t Generators 121680ds1 [0,0,0,-123708,1606007] 2 [-622:26235:8] 121680ds2 [0,0,0,492297,12817298] 2 [13627702:557291025:10648]
121680dt (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  3  1 13+  0  5
Curve Equation t Generators 121680dt1 [0,0,0,-3249363,5362670482] 1 [19097:2628288:1]
121680du (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  3  3 13+  0  3
Curve Equation t Generators 121680du1 [0,0,0,-2341443,1393010242] 1 [147805:2082816:125]
121680dv (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+  3 -3 13+  4 -7
Curve Equation t Generators 121680dv1 [0,0,0,-126243,28135458] 1 [273:3744:1] 121680dv2 [0,0,0,-11077443,-15339318462] 1 [1774999161:66371715072:389017]
121680dw (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  3 -6 13+ -6  0
Curve Equation t Generators 121680dw1 [0,0,0,312,988] 1 [14:-90:1]
121680dx (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -3  3 13+  7 -1
Curve Equation t Generators 121680dx1 [0,0,0,-19773,771147] 1 [338:845:8]
121680dy (4 curves)	1	2- 3- 5+ 13+	2- 3- 5+  4  0 13+  2  4
Curve Equation t Generators 121680dy1 [0,0,0,-7021443,11830743938] 2 [131418634011797:8850632049000448:24212815957] 121680dy2 [0,0,0,-131621763,581029925762] 4 [29229299:-3830222592:1331] 121680dy3 [0,0,0,-151090563,397840199042] 2 [3478807697981:443066667327738:156590819] 121680dy4 [0,0,0,-2105758083,37192967289218] 2 [87841:23021856:1]
121680dz (8 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -4  0 13+ -6 -4
Curve Equation t Generators 121680dz1 [0,0,0,35997,8071778] 2 [-79:2176:1] 121680dz2 [0,0,0,-450723,105513122] 4 [-559:13520:1] 121680dz3 [0,0,0,-329043,-237746158] 2 [38499631:2121512960:12167] 121680dz4 [0,0,0,-1667523,-713879998] 2 [-793:10478:1] 121680dz5 [0,0,0,-7021443,7161152258] 2 [1609:-5400:1] 121680dz6 [0,0,0,-8116563,-8883450862] 4 [12697:1391040:1] 121680dz7 [0,0,0,-129796563,-569171178862] 2 [5242321:345940470:343] 121680dz8 [0,0,0,-11036883,-1920823918] 2 [3913:121680:1]
121680ea (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -4  2 13+ -2  6
Curve Equation t Generators 121680ea1 [0,0,0,-20467083,-35634667718] 2 [28270957:4017840138:1331] 121680ea2 [0,0,0,-18520203,-42685877702] 2 [38634490428963:5498691306991766:1820316861]
121680eb (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -4 -2 13+ -2 -6
Curve Equation t Generators 121680eb1 [0,0,0,-24843,320762] 2 [247:-3042:1] 121680eb2 [0,0,0,96837,2535338] 2 [143:-4394:1]
121680ec (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  5 -2 13+ -2  0
Curve Equation t Generators 121680ec1 [0,0,0,-4368,114608] 1 [49:135:1]
121680ed (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  5  5 13+  1 -3
Curve Equation t Generators 121680ed1 [0,0,0,-273,403] 1 [-42:775:27]
121680ee (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -5  3 13+  8 -5
Curve Equation t Generators 121680ee1 [0,0,0,-712803,-231634078] 1 [340711:2181024:343]
121680ef (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+  0  0 13- -6  0
Curve Equation t 121680ef1 [0,0,0,-1667523,-317084222] 2 121680ef2 [0,0,0,-14322243,20641663042] 2
121680eg (2 curves)	2	2- 3- 5+ 13-	2- 3- 5+  0  2 13- -2 -4
Curve Equation t Generators 121680eg1 [0,0,0,-4139148,-3241016597] 2 [-1171:450:1]&[-309908416:55497879:262144] 121680eg2 [0,0,0,-4435743,-2749795958] 2 [-706:5472:1]&[11154:1155622:1]
121680eh (2 curves)	2	2- 3- 5+ 13-	2- 3- 5+  0 -4 13-  4 -4
Curve Equation t Generators 121680eh1 [0,0,0,-6123,196378] 2 [39:-130:1]&[-1:450:1] 121680eh2 [0,0,0,-99723,12121018] 2 [-259:4536:1]&[173:216:1]
121680ei (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+  0  6 13- -6  6
Curve Equation t 121680ei1 [0,0,0,-546611403,-4737555360902] 2 121680ei2 [0,0,0,263290677,-17576285113478] 2
121680ej (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+ -2  0 13-  2 -2
Curve Equation t 121680ej1 [0,0,0,-2458443,1854237242] 2 121680ej2 [0,0,0,-42004443,104776656842] 2
121680ek (1 curve)	0	2- 3- 5+ 13-	2- 3- 5+  3  3 13-  3  0
Curve Equation t 121680ek1 [0,0,0,4992,181168] 1
121680el (1 curve)	2	2- 3- 5+ 13-	2- 3- 5+ -5 -3 13- -7 -4
Curve Equation t Generators 121680el1 [0,0,0,-4368,150748] 1 [221:3159:1]&[26:-234:1]
121680em (4 curves)	0	2- 3- 5- 13+	2- 3- 5-  0  0 13+ -2 -8
Curve Equation t 121680em1 [0,0,0,-162747,-9135126] 2 121680em2 [0,0,0,-2109627,-1178431254] 4 121680em3 [0,0,0,-1622907,-1736504406] 2 121680em4 [0,0,0,-33746427,-75455310294] 2
121680en (8 curves)	0	2- 3- 5- 13+	2- 3- 5-  0  4 13+ -2  4
Curve Equation t 121680en1 [0,0,0,-507,707434] 2 121680en2 [0,0,0,-122187,16209466] 4 121680en3 [0,0,0,-243867,-21438326] 4 121680en4 [0,0,0,-1947387,1045987306] 2 121680en5 [0,0,0,851253,-160956614] 2 121680en6 [0,0,0,-3285867,-2291378726] 4 121680en7 [0,0,0,-2677467,-3166136246] 2 121680en8 [0,0,0,-52566267,-146692806806] 2
121680eo (8 curves)	0	2- 3- 5- 13+	2- 3- 5-  0 -4 13+ -2 -4
Curve Equation t 121680eo1 [0,0,0,-2677467,1686245834] 2 121680eo2 [0,0,0,-2799147,1524581786] 4 121680eo3 [0,0,0,5110053,8578006346] 2 121680eo4 [0,0,0,-12655227,-15875341846] 4 121680eo5 [0,0,0,14722773,-75170614246] 2 121680eo6 [0,0,0,-197730507,-1070175181894] 4 121680eo7 [0,0,0,-192984987,-1123982734966] 4 121680eo8 [0,0,0,-3163680507,-68491557391894] 2
121680ep (6 curves)	0	2- 3- 5- 13+	2- 3- 5-  0 -4 13+  6  4
Curve Equation t 121680ep1 [0,0,0,364533,33926074] 2 121680ep2 [0,0,0,-1582347,281958586] 4 121680ep3 [0,0,0,-13750347,-19427767814] 4 121680ep4 [0,0,0,-20564427,35865765754] 4 121680ep5 [0,0,0,-2799147,-49523855654] 2 121680ep6 [0,0,0,-219389547,-1250754169574] 2
121680eq (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  1 -2 13+ -2  0
Curve Equation t 121680eq1 [0,0,0,-190632,73840156] 1
121680er (2 curves)	0	2- 3- 5- 13+	2- 3- 5-  1  3 13+  3 -5
Curve Equation t 121680er1 [0,0,0,-46137,3741491] 1 121680er2 [0,0,0,-441597,-111416461] 1
121680es (2 curves)	0	2- 3- 5- 13+	2- 3- 5-  1  3 13+  6 -5
Curve Equation t 121680es1 [0,0,0,-243867,48725066] 1 121680es2 [0,0,0,1337973,77514554] 1
121680et (2 curves)	0	2- 3- 5- 13+	2- 3- 5-  1  6 13+  0  4
Curve Equation t 121680et1 [0,0,0,7171008,3838141424] 1 121680et2 [0,0,0,-78248352,-328853181904] 1
121680eu (2 curves)	0	2- 3- 5- 13+	2- 3- 5- -1 -3 13+  3 -7
Curve Equation t 121680eu1 [0,0,0,-1627977,-762264529] 1 121680eu2 [0,0,0,-130152477,-571513864129] 1
121680ev (4 curves)	0	2- 3- 5- 13+	2- 3- 5-  2  0 13+  0  2
Curve Equation t 121680ev1 [0,0,0,97282653,13914343586] 2 121680ev2 [0,0,0,-389437347,111355687586] 2 121680ev3 [0,0,0,-1298995347,-19438422960814] 2 121680ev4 [0,0,0,-21235046547,-1191036292672174] 2
121680ew (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -2  1 13+ -2 -6
Curve Equation t 121680ew1 [0,0,0,-1034787,-2529762014] 1
121680ex (2 curves)	0	2- 3- 5- 13+	2- 3- 5- -2  2 13+  2 -2
Curve Equation t 121680ex1 [0,0,0,-160212,24612991] 2 121680ex2 [0,0,0,-91767,45789874] 2
121680ey (2 curves)	2	2- 3- 5- 13+	2- 3- 5- -2 -3 13+ -6 -2
Curve Equation t Generators 121680ey1 [0,0,0,-122187,16479866] 1 [-403:520:1]&[637:14040:1] 121680ey2 [0,0,0,242853,84450314] 1 [2743:-146250:1]&[-211:4880:1]
121680ez (2 curves)	0	2- 3- 5- 13+	2- 3- 5- -2 -4 13+ -4 -2
Curve Equation t 121680ez1 [0,0,0,-1278147,-585364286] 2 121680ez2 [0,0,0,-20746947,-36372912446] 2
121680fa (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -2  5 13+  2 -2
Curve Equation t 121680fa1 [0,0,0,5751213,2219612434] 1
121680fb (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  3  1 13+  1 -2
Curve Equation t 121680fb1 [0,0,0,-4631952,3940082224] 1
121680fc (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  3 -1 13+  3 -2
Curve Equation t 121680fc1 [0,0,0,296088,-11621189684] 1
121680fd (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  3 -3 13+  7  1
Curve Equation t 121680fd1 [0,0,0,-117,351] 1
121680fe (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -3 -1 13+  0 -5
Curve Equation t 121680fe1 [0,0,0,-19227,2440906] 1
121680ff (2 curves)	0	2- 3- 5- 13+	2- 3- 5- -3  3 13+  4  7
Curve Equation t 121680ff1 [0,0,0,-21335067,61813601226] 1 121680ff2 [0,0,0,-1872087867,-33700482661014] 1
121680fg (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -3 -3 13+  0 -3
Curve Equation t 121680fg1 [0,0,0,-395703867,3060443501674] 1
121680fh (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -3  5 13+ -5  2
Curve Equation t 121680fh1 [0,0,0,-8112,-2566096] 1
121680fi (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -3  6 13+ -6  0
Curve Equation t 121680fi1 [0,0,0,52728,2170636] 1
121680fj (4 curves)	0	2- 3- 5- 13+	2- 3- 5- -4  6 13+  6  2
Curve Equation t 121680fj1 [0,0,0,-791427,269391746] 2 121680fj2 [0,0,0,-304707,597148994] 2 121680fj3 [0,0,0,-5050227,-4192978894] 2 121680fj4 [0,0,0,2737293,-15956806606] 2
121680fk (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  5 -3 13+  8  5
Curve Equation t 121680fk1 [0,0,0,-120463707,-508900069366] 1
121680fl (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -5  2 13+ -2  0
Curve Equation t 121680fl1 [0,0,0,-738192,251793776] 1
121680fm (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -5 -5 13+  1  3
Curve Equation t 121680fm1 [0,0,0,-46137,885391] 1
121680fn (2 curves)	1	2- 3- 5- 13-	2- 3- 5-  0  0 13- -6  0
Curve Equation t Generators 121680fn1 [0,0,0,-9867,-144326] 2 [-27:320:1] 121680fn2 [0,0,0,-84747,9395386] 2 [-43:3600:1]
121680fo (2 curves)	1	2- 3- 5- 13-	2- 3- 5-  0 -2 13- -2  4
Curve Equation t Generators 121680fo1 [0,0,0,-24492,-1475201] 2 [533:11700:1] 121680fo2 [0,0,0,-26247,-1251614] 2 [-118:450:1]
121680fp (2 curves)	1	2- 3- 5- 13-	2- 3- 5-  0  4 13-  4  4
Curve Equation t Generators 121680fp1 [0,0,0,-1034787,431442466] 2 [-1023:20480:1] 121680fp2 [0,0,0,-16853187,26629876546] 2 [18750:2510464:1]
121680fq (2 curves)	1	2- 3- 5- 13-	2- 3- 5-  0 -6 13- -6 -6
Curve Equation t Generators 121680fq1 [0,0,0,-3234387,-2156374766] 2 [-897:4810:1] 121680fq2 [0,0,0,1557933,-8000129774] 2 [1817:28800:1]
121680fr (2 curves)	1	2- 3- 5- 13-	2- 3- 5-  2  0 13-  2  2
Curve Equation t Generators 121680fr1 [0,0,0,-14547,843986] 2 [-23:1080:1] 121680fr2 [0,0,0,-248547,47690786] 2 [247:1170:1]
121680fs (1 curve)	1	2- 3- 5- 13-	2- 3- 5- -3 -3 13-  3  0
Curve Equation t Generators 121680fs1 [0,0,0,843648,398026096] 1 [5746:296595:8]
121680ft (1 curve)	1	2- 3- 5- 13-	2- 3- 5-  5  3 13- -7  4
Curve Equation t Generators 121680ft1 [0,0,0,-738192,331193356] 1 [686:12150:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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