Cremona's table of elliptic curves

31680 = 2⁶ · 3² · 5 · 11

Class	r	Atkin-Lehner	Eigenvalues
31680a (2 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  0 11+  0  2 -2
Curve Equation t Generators 31680a1 [0,0,0,-8748,-293328] 2 [-44:80:1] 31680a2 [0,0,0,8532,-1309392] 2 [1684:69200:1]
31680b (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  4 11-  4 -2  6
Curve Equation t 31680b1 [0,0,0,-1068,-13392] 2 31680b2 [0,0,0,-588,-25488] 2
31680c (4 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -4 11-  4  6 -2
Curve Equation t 31680c1 [0,0,0,-686988,219164912] 2 31680c2 [0,0,0,-679308,224304368] 2 31680c3 [0,0,0,-902988,69958512] 2 31680c4 [0,0,0,3520692,553024368] 2
31680d (2 curves)	0	2+ 3+ 5- 11+	2+ 3+ 5-  4 11+  4  2  6
Curve Equation t 31680d1 [0,0,0,-9612,361584] 2 31680d2 [0,0,0,-5292,688176] 2
31680e (4 curves)	0	2+ 3+ 5- 11+	2+ 3+ 5- -4 11+  4 -6 -2
Curve Equation t 31680e1 [0,0,0,-100332,-2591056] 2 31680e2 [0,0,0,391188,-20482384] 2 31680e3 [0,0,0,-6182892,-5917452624] 2 31680e4 [0,0,0,-6113772,-6056217936] 2
31680f (2 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5-  0 11-  0 -2 -2
Curve Equation t Generators 31680f1 [0,0,0,-972,10864] 2 [8:60:1] 31680f2 [0,0,0,948,48496] 2 [-18:160:1]
31680g (4 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  0 11+  2  2  0
Curve Equation t 31680g1 [0,0,0,-1263,13412] 2 31680g2 [0,0,0,-6708,-200032] 4 31680g3 [0,0,0,5172,-832048] 2 31680g4 [0,0,0,-105708,-13228432] 2
31680h (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -1 11+ -2  3  1
Curve Equation t 31680h1 [0,0,0,-588,-14992] 1 31680h2 [0,0,0,5172,355952] 1
31680i (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  2 11+  4  0  4
Curve Equation t 31680i1 [0,0,0,-408,808] 2 31680i2 [0,0,0,1572,6352] 2
31680j (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -2 11+  0  0  8
Curve Equation t 31680j1 [0,0,0,-1368,18792] 2 31680j2 [0,0,0,612,68688] 2
31680k (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -2 11+  0 -4 -4
Curve Equation t 31680k1 [0,0,0,-321528,-69557848] 2 31680k2 [0,0,0,-81948,-170852272] 2
31680l (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -2 11+  2  2  0
Curve Equation t 31680l1 [0,0,0,1077,4372] 2 31680l2 [0,0,0,-4548,35872] 2
31680m (2 curves)	2	2+ 3- 5+ 11+	2+ 3- 5+ -2 11+ -2 -8  2
Curve Equation t Generators 31680m1 [0,0,0,-768,13192] 2 [-7:135:1]&[2:108:1] 31680m2 [0,0,0,-14268,655792] 2 [2:792:1]&[56:180:1]
31680n (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -2 11+  4  4 -8
Curve Equation t 31680n1 [0,0,0,-393528,95019208] 2 31680n2 [0,0,0,-391548,96022672] 2
31680o (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -2 11+  4 -4  0
Curve Equation t 31680o1 [0,0,0,-4728,-124792] 2 31680o2 [0,0,0,-2748,-230128] 2
31680p (4 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  4 11+ -2 -2  4
Curve Equation t 31680p1 [0,0,0,-9948,-381872] 2 31680p2 [0,0,0,-10668,-323408] 4 31680p3 [0,0,0,25332,-2037008] 2 31680p4 [0,0,0,-58188,5131888] 2
31680q (4 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  4 11+ -2 -2 -4
Curve Equation t 31680q1 [0,0,0,-23193228,-40619566352] 2 31680q2 [0,0,0,-70379148,177247263472] 4 31680q3 [0,0,0,160020852,1095253023472] 2 31680q4 [0,0,0,-1055753868,13202718612208] 2
31680r (4 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -4 11+  4  6 -2
Curve Equation t 31680r1 [0,0,0,-1488,-28888] 2 31680r2 [0,0,0,-25788,-1593808] 2 31680r3 [0,0,0,11472,315848] 2 31680r4 [0,0,0,-56028,2772848] 2
31680s (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  0 11-  2  2  0
Curve Equation t Generators 31680s1 [0,0,0,-1263,-13412] 2 [104:-990:1] 31680s2 [0,0,0,-6708,200032] 4 [2:432:1] 31680s3 [0,0,0,5172,832048] 2 [68:1224:1] 31680s4 [0,0,0,-105708,13228432] 2 [26:3240:1]
31680t (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  0 11- -2  2 -8
Curve Equation t Generators 31680t1 [0,0,0,-802668,276790192] 2 [-634:23040:1] 31680t2 [0,0,0,-814188,268435888] 4 [-636:23000:1] 31680t3 [0,0,0,585492,1095366832] 2 [-712:17820:1] 31680t4 [0,0,0,-2398188,-1093170512] 2 [-111180:2292088:125]
31680u (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  0 11-  4  2 -2
Curve Equation t Generators 31680u1 [0,0,0,-48,-2072] 2 [17:45:1] 31680u2 [0,0,0,-2748,-54992] 2 [197:2655:1]
31680v (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  2 11-  0 -4  4
Curve Equation t Generators 31680v1 [0,0,0,-13368,614792] 2 [-26:972:1] 31680v2 [0,0,0,-215868,38603792] 2 [349:2403:1]
31680w (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  2 11-  2  2  0
Curve Equation t Generators 31680w1 [0,0,0,1077,-4372] 2 [754:7733:8] 31680w2 [0,0,0,-4548,-35872] 2 [-19:209:1]
31680x (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  2 11- -2  0 -2
Curve Equation t Generators 31680x1 [0,0,0,7872,987752] 2 [26:1100:1] 31680x2 [0,0,0,-113628,13575152] 2 [346:-3960:1] 31680x3 [0,0,0,-562368,162451208] 2 [457:945:1] 31680x4 [0,0,0,-8999868,10392076208] 2 [1634:7000:1]
31680y (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -2 11-  0  8  8
Curve Equation t Generators 31680y1 [0,0,0,11112,-417112] 2 [49:495:1] 31680y2 [0,0,0,-61788,-3887152] 2 [-112:1276:1]
31680z (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -2 11-  4  4  0
Curve Equation t Generators 31680z1 [0,0,0,72,648] 2 [6:36:1] 31680z2 [0,0,0,-828,8208] 2 [-32:44:1]
31680ba (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -2 11- -4  0  4
Curve Equation t Generators 31680ba1 [0,0,0,-408,-6968] 2 [38:180:1] 31680ba2 [0,0,0,-8508,-301808] 2 [173:1845:1]
31680bb (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  5 11- -2 -3  7
Curve Equation t Generators 31680bb1 [0,0,0,-50988,-4473808] 1 [4214:273152:1] 31680bb2 [0,0,0,170772,-23190352] 1 [494552198:32214056960:117649]
31680bc (4 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  0 11+  2  2 -4
Curve Equation t Generators 31680bc1 [0,0,0,-207,-756] 2 [24:90:1] 31680bc2 [0,0,0,-1332,18144] 4 [-12:180:1] 31680bc3 [0,0,0,468,63504] 2 [0:252:1] 31680bc4 [0,0,0,-21132,1182384] 2 [85:17:1]
31680bd (6 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  0 11+  2 -2  4
Curve Equation t Generators 31680bd1 [0,0,0,2868,-229264] 2 [257480:5801517:512] 31680bd2 [0,0,0,-43212,-3196816] 4 [2020:90288:1] 31680bd3 [0,0,0,-146892,17995376] 4 [52:3240:1] 31680bd4 [0,0,0,-676812,-214312336] 2 [56460:2340496:27] 31680bd5 [0,0,0,285108,103876976] 2 [1012:37800:1] 31680bd6 [0,0,0,-2237772,1288414064] 4 [-632:49500:1]
31680be (6 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  0 11+  2 -2 -4
Curve Equation t Generators 31680be1 [0,0,0,2328,35336] 2 [2:200:1] 31680be2 [0,0,0,-12252,321104] 4 [-82:880:1] 31680be3 [0,0,0,-83532,-9059344] 2 [-163:475:1] 31680be4 [0,0,0,-174252,27990704] 4 [-50:6048:1] 31680be5 [0,0,0,-152652,35187824] 2 [-35:6363:1] 31680be6 [0,0,0,-2787852,1791647984] 2 [1160:10892:1]
31680bf (6 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  0 11+  2  6  4
Curve Equation t Generators 31680bf1 [0,0,0,-6312,-322616] 2 [158:1620:1] 31680bf2 [0,0,0,-118812,-15757616] 4 [533:8505:1] 31680bf3 [0,0,0,-136812,-10667216] 4 [-33770:320544:125] 31680bf4 [0,0,0,-1900812,-1008688016] 2 [3173:157815:1] 31680bf5 [0,0,0,446388,-77618576] 2 [14995015:472168467:42875] 31680bf6 [0,0,0,-1008012,382069744] 2 [494:2160:1]
31680bg (4 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  0 11+ -2  6 -4
Curve Equation t Generators 31680bg1 [0,0,0,-2465607,-666270556] 2 [-2846:103025:8] 31680bg2 [0,0,0,-20043732,34082166944] 4 [-92:189540:1] 31680bg3 [0,0,0,-1818732,93736236944] 2 [1408:306540:1] 31680bg4 [0,0,0,-319518732,2198328096944] 2 [10493:30485:1]
31680bh (4 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  0 11+ -2 -6  4
Curve Equation t Generators 31680bh1 [0,0,0,468,-3024] 2 [210:1323:8] 31680bh2 [0,0,0,-2412,-27216] 4 [-27:135:1] 31680bh3 [0,0,0,-16812,819504] 2 [165:1593:1] 31680bh4 [0,0,0,-34092,-2422224] 2 [216:540:1]
31680bi (2 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  0 11+  4  6 -2
Curve Equation t Generators 31680bi1 [0,0,0,-127227,-17406956] 2 [-2834775294492959280:-2521203958020319286:14238827123236633] 31680bi2 [0,0,0,-67332,-33842144] 2 [32310980:3917781828:2197]
31680bj (1 curve)	1	2+ 3- 5- 11+	2+ 3- 5-  1 11+  6 -3  5
Curve Equation t Generators 31680bj1 [0,0,0,-2412,48816] 1 [22:-80:1]
31680bk (2 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  4 11+ -4  2 -6
Curve Equation t Generators 31680bk1 [0,0,0,-40467,3133276] 2 [72:770:1] 31680bk2 [0,0,0,-39972,3213664] 2 [68:900:1]
31680bl (4 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  4 11+ -6  6 -4
Curve Equation t Generators 31680bl1 [0,0,0,-181512,-29765016] 2 [538:5320:1] 31680bl2 [0,0,0,-181692,-29703024] 4 [-243:315:1] 31680bl3 [0,0,0,-94572,-58243536] 2 [558:7920:1] 31680bl4 [0,0,0,-271692,2804976] 2 [957:24885:1]
31680bm (2 curves)	1	2+ 3- 5- 11+	2+ 3- 5- -4 11+  0  2 -2
Curve Equation t Generators 31680bm1 [0,0,0,-147,-524] 2 [130:297:8] 31680bm2 [0,0,0,348,-3296] 2 [20:108:1]
31680bn (4 curves)	1	2+ 3- 5- 11+	2+ 3- 5- -4 11+ -2 -6 -4
Curve Equation t Generators 31680bn1 [0,0,0,888,-1784] 2 [17:135:1] 31680bn2 [0,0,0,-3612,-14384] 4 [-48:220:1] 31680bn3 [0,0,0,-36012,2616496] 2 [125:261:1] 31680bn4 [0,0,0,-43212,-3451664] 2 [-120:76:1]
31680bo (4 curves)	1	2+ 3- 5- 11+	2+ 3- 5- -4 11+  4  0  4
Curve Equation t Generators 31680bo1 [0,0,0,-1632,-24856] 2 [-22:20:1] 31680bo2 [0,0,0,-3612,47216] 2 [-38:360:1] 31680bo3 [0,0,0,-16032,771464] 2 [50:308:1] 31680bo4 [0,0,0,-255612,49741616] 2 [202:2520:1]
31680bp (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  0 11-  0  4  4
Curve Equation t 31680bp1 [0,0,0,-192,-56] 2 31680bp2 [0,0,0,-2172,-38864] 2
31680bq (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  0 11-  2  2  4
Curve Equation t 31680bq1 [0,0,0,-207,756] 2 31680bq2 [0,0,0,-1332,-18144] 4 31680bq3 [0,0,0,468,-63504] 2 31680bq4 [0,0,0,-21132,-1182384] 2
31680br (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  0 11- -2  6  4
Curve Equation t 31680br1 [0,0,0,-2465607,666270556] 2 31680br2 [0,0,0,-20043732,-34082166944] 4 31680br3 [0,0,0,-1818732,-93736236944] 2 31680br4 [0,0,0,-319518732,-2198328096944] 2
31680bs (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  0 11-  4  6  2
Curve Equation t 31680bs1 [0,0,0,-127227,17406956] 2 31680bs2 [0,0,0,-67332,33842144] 2
31680bt (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  0 11-  6  6  0
Curve Equation t 31680bt1 [0,0,0,-1992,34216] 2 31680bt2 [0,0,0,-2172,27664] 4 31680bt3 [0,0,0,5748,182896] 2 31680bt4 [0,0,0,-12972,-546896] 2
31680bu (6 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  0 11- -6 -2  4
Curve Equation t 31680bu1 [0,0,0,146868,-2058896] 2 31680bu2 [0,0,0,-590412,-16509584] 4 31680bu3 [0,0,0,-6166092,5869178224] 4 31680bu4 [0,0,0,-6811212,-6827041424] 2 31680bu5 [0,0,0,-2998092,11892179824] 2 31680bu6 [0,0,0,-98544972,376530196336] 2
31680bv (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  3 11-  6  7 -5
Curve Equation t 31680bv1 [0,0,0,5748,677104] 1 31680bv2 [0,0,0,-3421452,2435924464] 1
31680bw (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  4 11-  0  2  2
Curve Equation t 31680bw1 [0,0,0,-147,524] 2 31680bw2 [0,0,0,348,3296] 2
31680bx (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  4 11- -2  2 -4
Curve Equation t 31680bx1 [0,0,0,-1992,5704] 2 31680bx2 [0,0,0,-23772,1408336] 4 31680bx3 [0,0,0,-15852,2361904] 2 31680bx4 [0,0,0,-380172,90223216] 2
31680by (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5- -4 11-  2  2  8
Curve Equation t 31680by1 [0,0,0,-12972,479536] 2 31680by2 [0,0,0,-59052,-5068496] 4 31680by3 [0,0,0,67668,-23873744] 2 31680by4 [0,0,0,-923052,-341337296] 2
31680bz (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5- -4 11- -4  2  6
Curve Equation t 31680bz1 [0,0,0,-40467,-3133276] 2 31680bz2 [0,0,0,-39972,-3213664] 2
31680ca (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5- -4 11-  6  2  4
Curve Equation t 31680ca1 [0,0,0,-122952,-16586296] 2 31680ca2 [0,0,0,-144732,-10304944] 4 31680ca3 [0,0,0,496788,-76766416] 2 31680ca4 [0,0,0,-1134732,458163056] 2
31680cb (4 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  4 11+  4  6  2
Curve Equation t 31680cb1 [0,0,0,-686988,-219164912] 2 31680cb2 [0,0,0,-679308,-224304368] 2 31680cb3 [0,0,0,-902988,-69958512] 2 31680cb4 [0,0,0,3520692,-553024368] 2
31680cc (2 curves)	2	2- 3+ 5+ 11+	2- 3+ 5+ -4 11+  4 -2 -6
Curve Equation t Generators 31680cc1 [0,0,0,-1068,13392] 2 [-36:72:1]&[-14:160:1] 31680cc2 [0,0,0,-588,25488] 2 [-14:176:1]&[-11:175:1]
31680cd (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  0 11-  0  2  2
Curve Equation t Generators 31680cd1 [0,0,0,-8748,293328] 2 [-86:640:1] 31680cd2 [0,0,0,8532,1309392] 2 [-59:775:1]
31680ce (2 curves)	1	2- 3+ 5- 11+	2- 3+ 5-  0 11+  0 -2  2
Curve Equation t Generators 31680ce1 [0,0,0,-972,-10864] 2 [-20:24:1] 31680ce2 [0,0,0,948,-48496] 2 [50:-352:1]
31680cf (4 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  4 11-  4 -6  2
Curve Equation t 31680cf1 [0,0,0,-100332,2591056] 2 31680cf2 [0,0,0,391188,20482384] 2 31680cf3 [0,0,0,-6182892,5917452624] 2 31680cf4 [0,0,0,-6113772,6056217936] 2
31680cg (2 curves)	0	2- 3+ 5- 11-	2- 3+ 5- -4 11-  4  2 -6
Curve Equation t 31680cg1 [0,0,0,-9612,-361584] 2 31680cg2 [0,0,0,-5292,-688176] 2
31680ch (4 curves)	1	2- 3- 5+ 11+	2- 3- 5+  0 11+  2  2 -4
Curve Equation t Generators 31680ch1 [0,0,0,-1983,30688] 2 [706:5895:8] 31680ch2 [0,0,0,-7428,-213248] 4 [-52:180:1] 31680ch3 [0,0,0,12372,-1155728] 2 [168:2380:1] 31680ch4 [0,0,0,-114348,-14882672] 2 [429:3875:1]
31680ci (4 curves)	1	2- 3- 5+ 11+	2- 3- 5+  0 11+ -2  2  8
Curve Equation t Generators 31680ci1 [0,0,0,-802668,-276790192] 2 [1069:9315:1] 31680ci2 [0,0,0,-814188,-268435888] 4 [70864:18862668:1] 31680ci3 [0,0,0,585492,-1095366832] 2 [73679712457:-874266314375:83453453] 31680ci4 [0,0,0,-2398188,1093170512] 2 [506:3040:1]
31680cj (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+  0 11+  4  2  2
Curve Equation t Generators 31680cj1 [0,0,0,-48,2072] 2 [1:45:1] 31680cj2 [0,0,0,-2748,54992] 2 [22:72:1]
31680ck (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+  2 11+  0  8 -8
Curve Equation t Generators 31680ck1 [0,0,0,11112,417112] 2 [-31:207:1] 31680ck2 [0,0,0,-61788,3887152] 2 [4829:335133:1]
31680cl (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+  2 11+  4  4  0
Curve Equation t Generators 31680cl1 [0,0,0,72,-648] 2 [9:27:1] 31680cl2 [0,0,0,-828,-8208] 2 [69:513:1]
31680cm (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+  2 11+ -4  0 -4
Curve Equation t Generators 31680cm1 [0,0,0,-408,6968] 2 [1:81:1] 31680cm2 [0,0,0,-8508,301808] 2 [8:484:1]
31680cn (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -2 11+  0 -4 -4
Curve Equation t Generators 31680cn1 [0,0,0,-13368,-614792] 2 [281:4221:1] 31680cn2 [0,0,0,-215868,-38603792] 2 [190883:1265697:343]
31680co (4 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -2 11+ -2  0  2
Curve Equation t Generators 31680co1 [0,0,0,7872,-987752] 2 [266:4464:1] 31680co2 [0,0,0,-113628,-13575152] 2 [-196:1080:1] 31680co3 [0,0,0,-562368,-162451208] 2 [18701806:620964720:12167] 31680co4 [0,0,0,-8999868,-10392076208] 2 [108178:12238875:8]
31680cp (1 curve)	1	2- 3- 5+ 11+	2- 3- 5+  3 11+  2 -7  5
Curve Equation t Generators 31680cp1 [0,0,0,-117228,15450352] 1 [198:40:1]
31680cq (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -5 11+ -2 -3 -7
Curve Equation t Generators 31680cq1 [0,0,0,-50988,4473808] 1 [138:256:1] 31680cq2 [0,0,0,170772,23190352] 1 [9330:753664:125]
31680cr (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11-  2  2  4
Curve Equation t 31680cr1 [0,0,0,-1983,-30688] 2 31680cr2 [0,0,0,-7428,213248] 4 31680cr3 [0,0,0,12372,1155728] 2 31680cr4 [0,0,0,-114348,14882672] 2
31680cs (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  1 11- -2  3 -1
Curve Equation t 31680cs1 [0,0,0,-588,14992] 1 31680cs2 [0,0,0,5172,-355952] 1
31680ct (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  2 11-  0  0 -8
Curve Equation t 31680ct1 [0,0,0,-1368,-18792] 2 31680ct2 [0,0,0,612,-68688] 2
31680cu (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  2 11-  0 -4  4
Curve Equation t 31680cu1 [0,0,0,-321528,69557848] 2 31680cu2 [0,0,0,-81948,170852272] 2
31680cv (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  2 11- -2 -8 -2
Curve Equation t 31680cv1 [0,0,0,-768,-13192] 2 31680cv2 [0,0,0,-14268,-655792] 2
31680cw (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  2 11-  4  4  8
Curve Equation t 31680cw1 [0,0,0,-393528,-95019208] 2 31680cw2 [0,0,0,-391548,-96022672] 2
31680cx (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  2 11-  4 -4  0
Curve Equation t 31680cx1 [0,0,0,-4728,124792] 2 31680cx2 [0,0,0,-2748,230128] 2
31680cy (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+ -2 11-  4  0 -4
Curve Equation t 31680cy1 [0,0,0,-408,-808] 2 31680cy2 [0,0,0,1572,-6352] 2
31680cz (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+ -3 11-  2 -7 -5
Curve Equation t 31680cz1 [0,0,0,-117228,-15450352] 1
31680da (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  4 11-  4  6  2
Curve Equation t 31680da1 [0,0,0,-1488,28888] 2 31680da2 [0,0,0,-25788,1593808] 2 31680da3 [0,0,0,11472,-315848] 2 31680da4 [0,0,0,-56028,-2772848] 2
31680db (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+ -4 11- -2 -2  4
Curve Equation t 31680db1 [0,0,0,-23193228,40619566352] 2 31680db2 [0,0,0,-70379148,-177247263472] 4 31680db3 [0,0,0,160020852,-1095253023472] 2 31680db4 [0,0,0,-1055753868,-13202718612208] 2
31680dc (4 curves)	2	2- 3- 5+ 11-	2- 3- 5+ -4 11- -2 -2 -4
Curve Equation t Generators 31680dc1 [0,0,0,-9948,381872] 2 [61:45:1]&[-92:720:1] 31680dc2 [0,0,0,-10668,323408] 4 [-94:704:1]&[-62:864:1] 31680dc3 [0,0,0,25332,2037008] 2 [-46:880:1]&[-14:1296:1] 31680dc4 [0,0,0,-58188,-5131888] 2 [-148:488:1]&[-128:468:1]
31680dd (2 curves)	0	2- 3- 5- 11+	2- 3- 5-  0 11+  0  4 -4
Curve Equation t 31680dd1 [0,0,0,-192,56] 2 31680dd2 [0,0,0,-2172,38864] 2
31680de (4 curves)	0	2- 3- 5- 11+	2- 3- 5-  0 11+  2 -2  4
Curve Equation t 31680de1 [0,0,0,-2847,16184] 2 31680de2 [0,0,0,-35652,2588096] 4 31680de3 [0,0,0,-25932,4030544] 2 31680de4 [0,0,0,-570252,165748016] 4
31680df (2 curves)	0	2- 3- 5- 11+	2- 3- 5-  0 11+ -4  4  4
Curve Equation t 31680df1 [0,0,0,-9507,-340144] 2 31680df2 [0,0,0,-150132,-22390144] 2
31680dg (4 curves)	0	2- 3- 5- 11+	2- 3- 5-  0 11+  6  6  0
Curve Equation t 31680dg1 [0,0,0,-1992,-34216] 2 31680dg2 [0,0,0,-2172,-27664] 4 31680dg3 [0,0,0,5748,-182896] 2 31680dg4 [0,0,0,-12972,546896] 2
31680dh (6 curves)	0	2- 3- 5- 11+	2- 3- 5-  0 11+ -6 -2 -4
Curve Equation t 31680dh1 [0,0,0,146868,2058896] 2 31680dh2 [0,0,0,-590412,16509584] 4 31680dh3 [0,0,0,-6166092,-5869178224] 4 31680dh4 [0,0,0,-6811212,6827041424] 2 31680dh5 [0,0,0,-2998092,-11892179824] 2 31680dh6 [0,0,0,-98544972,-376530196336] 2
31680di (1 curve)	0	2- 3- 5- 11+	2- 3- 5-  1 11+  2  5 -7
Curve Equation t 31680di1 [0,0,0,-108012,59616016] 1
31680dj (2 curves)	0	2- 3- 5- 11+	2- 3- 5-  2 11+  2  0  6
Curve Equation t 31680dj1 [0,0,0,-1818507,943872856] 2 31680dj2 [0,0,0,-1758612,1008942784] 2
31680dk (2 curves)	0	2- 3- 5- 11+	2- 3- 5-  2 11+  6  0 -6
Curve Equation t 31680dk1 [0,0,0,-867,-9776] 2 31680dk2 [0,0,0,-372,-20864] 2
31680dl (1 curve)	0	2- 3- 5- 11+	2- 3- 5- -3 11+  2 -5  1
Curve Equation t 31680dl1 [0,0,0,-12,-1744] 1
31680dm (2 curves)	0	2- 3- 5- 11+	2- 3- 5- -3 11+  6  7  5
Curve Equation t 31680dm1 [0,0,0,5748,-677104] 1 31680dm2 [0,0,0,-3421452,-2435924464] 1
31680dn (4 curves)	0	2- 3- 5- 11+	2- 3- 5-  4 11+  2  2 -8
Curve Equation t 31680dn1 [0,0,0,-12972,-479536] 2 31680dn2 [0,0,0,-59052,5068496] 4 31680dn3 [0,0,0,67668,23873744] 2 31680dn4 [0,0,0,-923052,341337296] 2
31680do (4 curves)	0	2- 3- 5- 11+	2- 3- 5-  4 11+ -2  2  4
Curve Equation t 31680do1 [0,0,0,-687,-6896] 2 31680do2 [0,0,0,-1092,2176] 4 31680do3 [0,0,0,4308,17296] 2 31680do4 [0,0,0,-12972,567664] 4
31680dp (2 curves)	0	2- 3- 5- 11+	2- 3- 5-  4 11+ -4 -4 -4
Curve Equation t 31680dp1 [0,0,0,-147,664] 2 31680dp2 [0,0,0,-372,-1856] 2
31680dq (4 curves)	0	2- 3- 5- 11+	2- 3- 5-  4 11+  6  2 -4
Curve Equation t 31680dq1 [0,0,0,-122952,16586296] 2 31680dq2 [0,0,0,-144732,10304944] 4 31680dq3 [0,0,0,496788,76766416] 2 31680dq4 [0,0,0,-1134732,-458163056] 2
31680dr (4 curves)	0	2- 3- 5- 11+	2- 3- 5- -4 11+ -2  2  4
Curve Equation t 31680dr1 [0,0,0,-1992,-5704] 2 31680dr2 [0,0,0,-23772,-1408336] 4 31680dr3 [0,0,0,-15852,-2361904] 2 31680dr4 [0,0,0,-380172,-90223216] 2
31680ds (6 curves)	1	2- 3- 5- 11-	2- 3- 5-  0 11-  2 -2  4
Curve Equation t Generators 31680ds1 [0,0,0,2328,-35336] 2 [30:248:1] 31680ds2 [0,0,0,-12252,-321104] 4 [-78:400:1] 31680ds3 [0,0,0,-83532,9059344] 2 [-262:3600:1] 31680ds4 [0,0,0,-174252,-27990704] 4 [-240:76:1] 31680ds5 [0,0,0,-152652,-35187824] 2 [1920:82156:1] 31680ds6 [0,0,0,-2787852,-1791647984] 2 [2285:61389:1]
31680dt (6 curves)	1	2- 3- 5- 11-	2- 3- 5-  0 11-  2 -2 -4
Curve Equation t Generators 31680dt1 [0,0,0,2868,229264] 2 [-1180:26397:64] 31680dt2 [0,0,0,-43212,3196816] 4 [-148:2520:1] 31680dt3 [0,0,0,-146892,-17995376] 4 [-270:1408:1] 31680dt4 [0,0,0,-676812,214312336] 2 [1260:36904:1] 31680dt5 [0,0,0,285108,-103876976] 4 [405:8833:1] 31680dt6 [0,0,0,-2237772,-1288414064] 2 [-864:220:1]
31680du (4 curves)	1	2- 3- 5- 11-	2- 3- 5-  0 11-  2 -2 -4
Curve Equation t Generators 31680du1 [0,0,0,-2847,-16184] 2 [32760:261932:343] 31680du2 [0,0,0,-35652,-2588096] 4 [378:6160:1] 31680du3 [0,0,0,-25932,-4030544] 4 [245:2079:1] 31680du4 [0,0,0,-570252,-165748016] 2 [8370:156541:8]
31680dv (6 curves)	1	2- 3- 5- 11-	2- 3- 5-  0 11-  2  6 -4
Curve Equation t Generators 31680dv1 [0,0,0,-6312,322616] 2 [-23:675:1] 31680dv2 [0,0,0,-118812,15757616] 4 [130:1584:1] 31680dv3 [0,0,0,-136812,10667216] 4 [-398:1440:1] 31680dv4 [0,0,0,-1900812,1008688016] 2 [800:196:1] 31680dv5 [0,0,0,446388,77618576] 2 [-155:2169:1] 31680dv6 [0,0,0,-1008012,-382069744] 2 [-640:956:1]
31680dw (4 curves)	1	2- 3- 5- 11-	2- 3- 5-  0 11- -2 -6 -4
Curve Equation t Generators 31680dw1 [0,0,0,468,3024] 2 [250:3968:1] 31680dw2 [0,0,0,-2412,27216] 4 [-48:180:1] 31680dw3 [0,0,0,-16812,-819504] 2 [-80:116:1] 31680dw4 [0,0,0,-34092,2422224] 2 [58:800:1]
31680dx (2 curves)	1	2- 3- 5- 11-	2- 3- 5-  0 11- -4  4 -4
Curve Equation t Generators 31680dx1 [0,0,0,-9507,340144] 2 [68:90:1] 31680dx2 [0,0,0,-150132,22390144] 2 [188:900:1]
31680dy (1 curve)	1	2- 3- 5- 11-	2- 3- 5- -1 11-  2  5  7
Curve Equation t Generators 31680dy1 [0,0,0,-108012,-59616016] 1 [518:4840:1]
31680dz (1 curve)	1	2- 3- 5- 11-	2- 3- 5- -1 11-  6 -3 -5
Curve Equation t Generators 31680dz1 [0,0,0,-2412,-48816] 1 [58:80:1]
31680ea (2 curves)	1	2- 3- 5- 11-	2- 3- 5- -2 11-  2  0 -6
Curve Equation t Generators 31680ea1 [0,0,0,-1818507,-943872856] 2 [13394:212355:8] 31680ea2 [0,0,0,-1758612,-1008942784] 2 [3052:148500:1]
31680eb (2 curves)	1	2- 3- 5- 11-	2- 3- 5- -2 11-  6  0  6
Curve Equation t Generators 31680eb1 [0,0,0,-867,9776] 2 [-28:110:1] 31680eb2 [0,0,0,-372,20864] 2 [13:135:1]
31680ec (1 curve)	1	2- 3- 5- 11-	2- 3- 5-  3 11-  2 -5 -1
Curve Equation t Generators 31680ec1 [0,0,0,-12,1744] 1 [-6:40:1]
31680ed (4 curves)	1	2- 3- 5- 11-	2- 3- 5-  4 11- -2 -6  4
Curve Equation t Generators 31680ed1 [0,0,0,888,1784] 2 [10:108:1] 31680ed2 [0,0,0,-3612,14384] 4 [-40:308:1] 31680ed3 [0,0,0,-36012,-2616496] 2 [325:4473:1] 31680ed4 [0,0,0,-43212,3451664] 2 [320:4732:1]
31680ee (4 curves)	1	2- 3- 5- 11-	2- 3- 5-  4 11-  4  0 -4
Curve Equation t Generators 31680ee1 [0,0,0,-1632,24856] 2 [-18:220:1] 31680ee2 [0,0,0,-3612,-47216] 2 [-27:175:1] 31680ee3 [0,0,0,-16032,-771464] 2 [-79:45:1] 31680ee4 [0,0,0,-255612,-49741616] 2 [4208:270900:1]
31680ef (4 curves)	1	2- 3- 5- 11-	2- 3- 5- -4 11- -2  2 -4
Curve Equation t Generators 31680ef1 [0,0,0,-687,6896] 2 [20:34:1] 31680ef2 [0,0,0,-1092,-2176] 4 [-20:108:1] 31680ef3 [0,0,0,4308,-17296] 4 [40:468:1] 31680ef4 [0,0,0,-12972,-567664] 2 [-64:20:1]
31680eg (2 curves)	1	2- 3- 5- 11-	2- 3- 5- -4 11- -4 -4  4
Curve Equation t Generators 31680eg1 [0,0,0,-147,-664] 2 [172:2250:1] 31680eg2 [0,0,0,-372,1856] 2 [-20:36:1]
31680eh (4 curves)	1	2- 3- 5- 11-	2- 3- 5- -4 11- -6  6  4
Curve Equation t Generators 31680eh1 [0,0,0,-181512,29765016] 2 [262:440:1] 31680eh2 [0,0,0,-181692,29703024] 4 [333:-2475:1] 31680eh3 [0,0,0,-94572,58243536] 2 [157:6875:1] 31680eh4 [0,0,0,-271692,-2804976] 2 [573:5445:1]

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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