Cremona's table of elliptic curves

21294 = 2 · 3² · 7 · 13²

Class	r	Atkin-Lehner	Eigenvalues
21294a (4 curves)	1	2+ 3+ 7+ 13+	2+ 3+  0 7+  0 13+  6  4
Curve Equation t Generators 21294a1 [1,-1,0,-36282,1260468] 2 [33:297:1] 21294a2 [1,-1,0,125958,9340020] 2 [-68:710:1] 21294a3 [1,-1,0,-1455882,-675737308] 2 [1443111504:148824944494:132651] 21294a4 [1,-1,0,-1364622,-764204752] 2 [40206:586100:27]
21294b (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  0 7+  1 13+  7  7
Curve Equation t Generators 21294b1 [1,-1,0,-12,14] 1 [1:1:1]
21294c (2 curves)	1	2+ 3+ 7+ 13+	2+ 3+  0 7+ -3 13+ -3  1
Curve Equation t Generators 21294c1 [1,-1,0,-22632,1316160] 1 [87:-42:1] 21294c2 [1,-1,0,-27312,736568] 1 [-17:1102:1]
21294d (2 curves)	1	2+ 3+ 7+ 13+	2+ 3+  0 7+  6 13+ -3 -8
Curve Equation t Generators 21294d1 [1,-1,0,13789608,-2865988800] 1 [6424810184642684529:548653225417673687541:1466894078535367] 21294d2 [1,-1,0,-205558872,-1190140818112] 1 [2154588921369889119960172575018047133104467552996025760546791:348191055629260338096505827239590196042387378981435331606849110:64354351655017051218906408273728979359977895414931160097]
21294e (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  3 7+  1 13+ -5  1
Curve Equation t Generators 21294e1 [1,-1,0,-633528,194593088] 1 [751:11539:1]
21294f (2 curves)	1	2+ 3+ 7+ 13+	2+ 3+ -3 7+ -3 13+ -3 -5
Curve Equation t Generators 21294f1 [1,-1,0,3264,74088] 1 [-3:255:1] 21294f2 [1,-1,0,-32226,-3415762] 1 [1999:87979:1]
21294g (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  4 7+  2 13+ -3  0
Curve Equation t Generators 21294g1 [1,-1,0,-5355,764453] 1 [349:6253:1]
21294h (2 curves)	2	2+ 3+ 7+ 13-	2+ 3+ -2 7+ -4 13-  4 -8
Curve Equation t Generators 21294h1 [1,-1,0,-168,1600] 2 [-3:47:1]&[0:40:1] 21294h2 [1,-1,0,-3288,73360] 2 [-28:392:1]&[-4:296:1]
21294i (1 curve)	0	2+ 3+ 7- 13+	2+ 3+  0 7-  1 13+ -7 -7
Curve Equation t 21294i1 [1,-1,0,-18537,-646021] 1
21294j (2 curves)	0	2+ 3+ 7- 13+	2+ 3+  0 7- -3 13+  3 -1
Curve Equation t 21294j1 [1,-1,0,-512862,-59250996] 3 21294j2 [1,-1,0,-34423557,-77729060395] 1
21294k (2 curves)	0	2+ 3+ 7- 13+	2+ 3+  0 7-  6 13+  3  8
Curve Equation t 21294k1 [1,-1,0,-135147,20098053] 3 21294k2 [1,-1,0,734358,34995572] 1
21294l (1 curve)	0	2+ 3+ 7- 13+	2+ 3+  1 7-  5 13+ -1  1
Curve Equation t 21294l1 [1,-1,0,13911,-1792179] 1
21294m (1 curve)	0	2+ 3+ 7- 13+	2+ 3+  4 7-  2 13+  3  0
Curve Equation t 21294m1 [1,-1,0,-285,-9307] 1
21294n (2 curves)	1	2+ 3+ 7- 13-	2+ 3+ -2 7- -4 13- -4  8
Curve Equation t Generators 21294n1 [1,-1,0,-255813,-92353195] 2 [6410:508275:1] 21294n2 [1,-1,0,-5001333,-4301629435] 2 [-1274:1663:1]
21294o (6 curves)	0	2+ 3- 7+ 13+	2+ 3-  0 7+  0 13+ -6 -2
Curve Equation t 21294o1 [1,-1,0,-792,-17172] 2 21294o2 [1,-1,0,-16002,-774630] 2 21294o3 [1,-1,0,6813,361557] 2 21294o4 [1,-1,0,-54027,3975453] 2 21294o5 [1,-1,0,-259362,51051924] 2 21294o6 [1,-1,0,-4153122,3258731412] 2
21294p (2 curves)	0	2+ 3- 7+ 13+	2+ 3-  0 7+ -3 13+  3 -5
Curve Equation t 21294p1 [1,-1,0,-11907,-492075] 1 21294p2 [1,-1,0,-90882,10302228] 1
21294q (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  0 7+ -5 13+  4 -2
Curve Equation t 21294q1 [1,-1,0,-33747,-52101451] 1
21294r (1 curve)	0	2+ 3- 7+ 13+	2+ 3- -2 7+  0 13+ -1 -6
Curve Equation t 21294r1 [1,-1,0,-1804698,-1296161996] 1
21294s (2 curves)	0	2+ 3- 7+ 13+	2+ 3-  3 7+  0 13+ -6  4
Curve Equation t 21294s1 [1,-1,0,27,27] 1 21294s2 [1,-1,0,-558,5292] 1
21294t (3 curves)	0	2+ 3- 7+ 13+	2+ 3-  3 7+  3 13+  3  7
Curve Equation t 21294t1 [1,-1,0,20502,-10749348] 1 21294t2 [1,-1,0,-184833,292941117] 1 21294t3 [1,-1,0,-39631968,96043594752] 1
21294u (1 curve)	0	2+ 3- 7+ 13+	2+ 3- -3 7+  4 13+ -2  4
Curve Equation t 21294u1 [1,-1,0,-28131,1823381] 1
21294v (1 curve)	0	2+ 3- 7+ 13+	2+ 3- -3 7+ -4 13+  5  4
Curve Equation t 21294v1 [1,-1,0,-143766,-38836472] 1
21294w (2 curves)	0	2+ 3- 7+ 13+	2+ 3- -3 7+ -6 13+  3  4
Curve Equation t 21294w1 [1,-1,0,-1033551,-404230527] 1 21294w2 [1,-1,0,251694,-1322666604] 1
21294x (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  4 7+ -3 13+  5 -3
Curve Equation t 21294x1 [1,-1,0,-6525,-140477] 1
21294y (1 curve)	1	2+ 3- 7+ 13-	2+ 3-  1 7+ -1 13-  1  1
Curve Equation t Generators 21294y1 [1,-1,0,846,-428] 1 [23:164:1]
21294z (4 curves)	1	2+ 3- 7+ 13-	2+ 3- -2 7+  0 13- -2  4
Curve Equation t Generators 21294z1 [1,-1,0,-4068,100764] 2 [33:24:1] 21294z2 [1,-1,0,-2898,159030] 2 [-3:411:1] 21294z3 [1,-1,0,-121653,-16295499] 2 [-201:177:1] 21294z4 [1,-1,0,-102933,-21495915] 2 [1047:31377:1]
21294ba (2 curves)	1	2+ 3- 7+ 13-	2+ 3- -2 7+  5 13- -2  4
Curve Equation t Generators 21294ba1 [1,-1,0,-25128,1619086] 1 [2415:6482:27] 21294ba2 [1,-1,0,73737,-97819331] 1 [22497004923:604684730590:27818127]
21294bb (2 curves)	1	2+ 3- 7+ 13-	2+ 3-  3 7+ -5 13-  3 -1
Curve Equation t Generators 21294bb1 [1,-1,0,-17919693,29201882373] 1 [306555:-64299:125] 21294bb2 [1,-1,0,36950382,150993339732] 1 [47837805:29573701494:125]
21294bc (2 curves)	1	2+ 3- 7- 13+	2+ 3-  0 7- -3 13+ -3  5
Curve Equation t Generators 21294bc1 [1,-1,0,-792,1080] 1 [-3:60:1] 21294bc2 [1,-1,0,-46422,3861378] 3 [-237:1347:1]
21294bd (1 curve)	1	2+ 3- 7- 13+	2+ 3-  1 7-  2 13+ -1  4
Curve Equation t Generators 21294bd1 [1,-1,0,261,-3483] 1 [22:101:1]
21294be (1 curve)	1	2+ 3- 7- 13+	2+ 3-  1 7-  3 13+ -5 -1
Curve Equation t Generators 21294be1 [1,-1,0,-11439,544077] 1 [-3:762:1]
21294bf (1 curve)	1	2+ 3- 7- 13+	2+ 3- -1 7- -1 13+  1 -7
Curve Equation t Generators 21294bf1 [1,-1,0,-165060,26192362] 1 [413:5117:1]
21294bg (1 curve)	1	2+ 3- 7- 13+	2+ 3-  2 7- -1 13+  1 -1
Curve Equation t Generators 21294bg1 [1,-1,0,-441,-1715] 1 [-7:35:1]
21294bh (1 curve)	1	2+ 3- 7- 13+	2+ 3- -2 7-  3 13+  7  5
Curve Equation t Generators 21294bh1 [1,-1,0,-6945678,-6998308524] 1 [-3177580122375:14992303585269:2141700569]
21294bi (4 curves)	1	2+ 3- 7- 13+	2+ 3- -2 7- -4 13+  2  4
Curve Equation t Generators 21294bi1 [1,-1,0,-85968,9455616] 2 [-315:2439:1] 21294bi2 [1,-1,0,-207648,-23178960] 4 [-363:2247:1] 21294bi3 [1,-1,0,613692,-161656884] 2 [790:28166:1] 21294bi4 [1,-1,0,-2975868,-1974774060] 2 [11203:1165146:1]
21294bj (1 curve)	1	2+ 3- 7- 13+	2+ 3- -2 7- -4 13+ -7 -2
Curve Equation t Generators 21294bj1 [1,-1,0,-11088,452466] 1 [105:-714:1]
21294bk (1 curve)	1	2+ 3- 7- 13+	2+ 3-  4 7- -1 13+ -4 -2
Curve Equation t Generators 21294bk1 [1,-1,0,-7009560,-7153797312] 1 [6679:490563:1]
21294bl (1 curve)	0	2+ 3- 7- 13-	2+ 3-  1 7-  3 13-  7  3
Curve Equation t 21294bl1 [1,-1,0,-417429,-112239243] 1
21294bm (4 curves)	0	2- 3+ 7+ 13+	2- 3+  0 7+  0 13+ -6  4
Curve Equation t 21294bm1 [1,-1,1,-161765,25081229] 2 21294bm2 [1,-1,1,-151625,28354421] 2 21294bm3 [1,-1,1,-326540,-33706097] 2 21294bm4 [1,-1,1,1133620,-253314161] 2
21294bn (1 curve)	0	2- 3+ 7+ 13+	2- 3+  0 7+ -1 13+ -7  7
Curve Equation t 21294bn1 [1,-1,1,-110,-269] 1
21294bo (2 curves)	0	2- 3+ 7+ 13+	2- 3+  0 7+  3 13+  3  1
Curve Equation t 21294bo1 [1,-1,1,-3035,-26269] 1 21294bo2 [1,-1,1,-203690,-35332631] 1
21294bp (2 curves)	0	2- 3+ 7+ 13+	2- 3+  0 7+ -6 13+  3 -8
Curve Equation t 21294bp1 [1,-1,1,-22839875,44086902851] 1 21294bp2 [1,-1,1,124106470,77257591129] 1
21294bq (2 curves)	0	2- 3+ 7+ 13+	2- 3+  3 7+  3 13+  3 -5
Curve Equation t 21294bq1 [1,-1,1,-3581,127703] 1 21294bq2 [1,-1,1,29374,-2029751] 1
21294br (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -3 7+ -1 13+  5  1
Curve Equation t 21294br1 [1,-1,1,-5701754,-5248311623] 1
21294bs (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -4 7+ -2 13+  3  0
Curve Equation t 21294bs1 [1,-1,1,-48197,-20592035] 1
21294bt (2 curves)	1	2- 3+ 7+ 13-	2- 3+  2 7+  4 13- -4 -8
Curve Equation t Generators 21294bt1 [1,-1,1,-1514,-41687] 2 [101:859:1] 21294bt2 [1,-1,1,-29594,-1951127] 2 [209:875:1]
21294bu (1 curve)	1	2- 3+ 7- 13+	2- 3+  0 7- -1 13+  7 -7
Curve Equation t Generators 21294bu1 [1,-1,1,-2060,24613] 1 [62:727:8]
21294bv (2 curves)	1	2- 3+ 7- 13+	2- 3+  0 7-  3 13+ -3 -1
Curve Equation t Generators 21294bv1 [1,-1,1,-3824840,2880129035] 3 [-1563:71761:1] 21294bv2 [1,-1,1,-4615760,1604392651] 1 [127:31877:1]
21294bw (2 curves)	1	2- 3+ 7- 13+	2- 3+  0 7- -6 13+ -3  8
Curve Equation t Generators 21294bw1 [1,-1,1,81595,-1323331] 3 [63:1984:1] 21294bw2 [1,-1,1,-1216325,-541431107] 1 [1531:33632:1]
21294bx (1 curve)	1	2- 3+ 7- 13+	2- 3+ -1 7- -5 13+  1  1
Curve Equation t Generators 21294bx1 [1,-1,1,125197,48263635] 1 [595:17954:1]
21294by (1 curve)	1	2- 3+ 7- 13+	2- 3+ -4 7- -2 13+ -3  0
Curve Equation t Generators 21294by1 [1,-1,1,-32,355] 1 [7:-25:1]
21294bz (2 curves)	0	2- 3+ 7- 13-	2- 3+  2 7-  4 13-  4  8
Curve Equation t 21294bz1 [1,-1,1,-28424,3429963] 2 21294bz2 [1,-1,1,-555704,159504843] 2
21294ca (2 curves)	1	2- 3- 7+ 13+	2- 3-  0 7+  3 13+ -3 -5
Curve Equation t Generators 21294ca1 [1,-1,1,-133880,1971155] 1 [-285:4255:1] 21294ca2 [1,-1,1,-7845350,8459911451] 1 [32273340:6325223573:85184]
21294cb (3 curves)	1	2- 3- 7+ 13+	2- 3-  0 7+ -3 13+  0 -2
Curve Equation t Generators 21294cb1 [1,-1,1,10615,447113] 1 [-29:352:1] 21294cb2 [1,-1,1,-293585,61700825] 1 [-263:11116:1] 21294cb3 [1,-1,1,-23823455,44762363741] 1 [19190:291221:8]
21294cc (1 curve)	1	2- 3- 7+ 13+	2- 3- -1 7+ -2 13+ -1 -4
Curve Equation t Generators 21294cc1 [1,-1,1,44077,-7519885] 1 [465:-10880:1]
21294cd (2 curves)	1	2- 3- 7+ 13+	2- 3- -1 7+  5 13+  3  1
Curve Equation t Generators 21294cd1 [1,-1,1,1085962,4921277573] 1 [933:81667:1] 21294cd2 [1,-1,1,-5588908448,160820859920933] 1 [57449064090:-28699748173:1331000]
21294ce (1 curve)	1	2- 3- 7+ 13+	2- 3-  2 7+ -3 13+  7 -5
Curve Equation t Generators 21294ce1 [1,-1,1,-41099,-3175909] 1 [-117:202:1]
21294cf (1 curve)	1	2- 3- 7+ 13+	2- 3-  2 7+  4 13+ -7  2
Curve Equation t Generators 21294cf1 [1,-1,1,-1873904,988446125] 1 [8790:123365:8]
21294cg (4 curves)	1	2- 3- 7+ 13+	2- 3-  2 7+ -4 13+ -6  4
Curve Equation t Generators 21294cg1 [1,-1,1,-10679,383231] 4 [-117:202:1] 21294cg2 [1,-1,1,-41099,-2792617] 4 [-9516:12421:64] 21294cg3 [1,-1,1,65371,-14930197] 2 [72828444:-334720595:438976] 21294cg4 [1,-1,1,-634289,-194274349] 2 [2523582090:539843316089:54872]
21294ch (1 curve)	1	2- 3- 7+ 13+	2- 3- -2 7+  1 13+  1  1
Curve Equation t Generators 21294ch1 [1,-1,1,-74561,-3991503] 1 [-211:1626:1]
21294ci (1 curve)	0	2- 3- 7+ 13-	2- 3- -1 7+ -3 13-  7 -3
Curve Equation t 21294ci1 [1,-1,1,-70545533,-246801253435] 1
21294cj (2 curves)	0	2- 3- 7- 13+	2- 3-  0 7-  3 13+  3  5
Curve Equation t 21294cj1 [1,-1,1,-2012315,-1087125685] 1 21294cj2 [1,-1,1,-15359090,22587917681] 3
21294ck (1 curve)	0	2- 3- 7- 13+	2- 3-  2 7-  0 13+ -1  6
Curve Equation t 21294ck1 [1,-1,1,-10679,-587505] 1
21294cl (4 curves)	0	2- 3- 7- 13+	2- 3-  2 7-  4 13+  6  0
Curve Equation t 21294cl1 [1,-1,1,1317661,-395503325] 2 21294cl2 [1,-1,1,-6469859,-3476246237] 4 21294cl3 [1,-1,1,-47597699,123970704355] 2 21294cl4 [1,-1,1,-89942339,-328184193437] 2
21294cm (6 curves)	0	2- 3- 7- 13+	2- 3- -2 7- -4 13+ -2  4
Curve Equation t 21294cm1 [1,-1,1,-6116,-404985] 2 21294cm2 [1,-1,1,-127796,-17537529] 4 21294cm3 [1,-1,1,-158216,-8533209] 4 21294cm4 [1,-1,1,-2044256,-1124484825] 2 21294cm5 [1,-1,1,587074,-66367713] 2 21294cm6 [1,-1,1,-1390226,625212735] 2
21294cn (1 curve)	0	2- 3- 7- 13+	2- 3-  3 7-  1 13+ -7 -1
Curve Equation t 21294cn1 [1,-1,1,-152836196,731454676359] 1
21294co (1 curve)	0	2- 3- 7- 13+	2- 3-  3 7-  4 13+  5 -4
Curve Equation t 21294co1 [1,-1,1,-851,-17481] 1
21294cp (1 curve)	0	2- 3- 7- 13+	2- 3-  3 7- -4 13+ -2 -4
Curve Equation t 21294cp1 [1,-1,1,-4754171,3991705579] 1
21294cq (2 curves)	0	2- 3- 7- 13+	2- 3-  3 7-  6 13+  3 -4
Curve Equation t 21294cq1 [1,-1,1,-6116,-182581] 1 21294cq2 [1,-1,1,1489,-602377] 3
21294cr (2 curves)	0	2- 3- 7- 13+	2- 3- -3 7-  0 13+ -6 -4
Curve Equation t 21294cr1 [1,-1,1,4531,72947] 1 21294cr2 [1,-1,1,-94334,11343557] 3
21294cs (1 curve)	0	2- 3- 7- 13+	2- 3- -4 7-  1 13+  0  6
Curve Equation t 21294cs1 [1,-1,1,5038,230455] 1
21294ct (1 curve)	0	2- 3- 7- 13+	2- 3- -4 7-  3 13+  5  3
Curve Equation t 21294ct1 [1,-1,1,-1102757,-311936205] 1
21294cu (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7-  1 13-  1 -1
Curve Equation t Generators 21294cu1 [1,-1,1,142942,-511455] 1 [1817:78183:1]
21294cv (4 curves)	1	2- 3- 7- 13-	2- 3-  2 7-  0 13- -2 -4
Curve Equation t Generators 21294cv1 [1,-1,1,-687524,219315971] 2 [13332:583711:64] 21294cv2 [1,-1,1,-489794,347919563] 2 [1174745412:-48444435527:3241792] 21294cv3 [1,-1,1,-20559389,-35862889435] 2 [-2625:4840:1] 21294cv4 [1,-1,1,-17395709,-47278712347] 2 [10557:967126:1]
21294cw (2 curves)	1	2- 3- 7- 13-	2- 3-  2 7- -5 13- -2 -4
Curve Equation t Generators 21294cw1 [1,-1,1,-149,771] 1 [54:21:8] 21294cw2 [1,-1,1,436,-44625] 1 [75:599:1]
21294cx (2 curves)	1	2- 3- 7- 13-	2- 3- -3 7-  5 13-  3  1
Curve Equation t Generators 21294cx1 [1,-1,1,-106034,13316177] 1 [231:937:1] 21294cx2 [1,-1,1,218641,68676599] 1 [3507:-211418:1]

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