Cremona's table of elliptic curves

113274 = 2 · 3² · 7 · 29 · 31

Class	r	Atkin-Lehner	Eigenvalues
113274a (2 curves)	0	2+ 3+ 7+ 29+ 31-	2+ 3+  2 7+ -4  0  2 -4
Curve Equation t 113274a1 [1,-1,0,-13451901,18993191237] 2 113274a2 [1,-1,0,-13719741,18197652869] 2
113274b (2 curves)	0	2+ 3+ 7+ 29+ 31-	2+ 3+ -2 7+  0  4  0 -2
Curve Equation t 113274b1 [1,-1,0,-102138,3631284] 2 113274b2 [1,-1,0,389382,28108980] 2
113274c (2 curves)	0	2+ 3+ 7+ 29- 31+	2+ 3+  2 7+  0  4 -4 -2
Curve Equation t 113274c1 [1,-1,0,-2751,-54855] 2 113274c2 [1,-1,0,-2721,-56133] 2
113274d (1 curve)	2	2+ 3+ 7+ 29- 31+	2+ 3+ -2 7+ -3 -2 -2 -7
Curve Equation t Generators 113274d1 [1,-1,0,-8463,346861] 1 [-82:737:1]&[-66:817:1]
113274e (1 curve)	1	2+ 3+ 7+ 29- 31-	2+ 3+ -2 7+  1 -3 -2  5
Curve Equation t Generators 113274e1 [1,-1,0,42,284] 1 [-1:16:1]
113274f (1 curve)	0	2+ 3+ 7- 29+ 31+	2+ 3+ -4 7- -1 -1  8  7
Curve Equation t 113274f1 [1,-1,0,-4886799,185145996429] 1
113274g (4 curves)	1	2+ 3+ 7- 29+ 31-	2+ 3+  0 7-  6  2 -6  2
Curve Equation t Generators 113274g1 [1,-1,0,-51252,4433040] 6 [967:28815:1] 113274g2 [1,-1,0,-10092,11323224] 6 [-173881255:-1829741679:857375] 113274g3 [1,-1,0,-393027,-92377387] 2 [1564927134:37571030843:1481544] 113274g4 [1,-1,0,90813,-305363755] 2 [5925495882124381530:-166610945680280507851:6011690534487000]
113274h (2 curves)	1	2+ 3+ 7- 29- 31+	2+ 3+  0 7- -2  2  6 -2
Curve Equation t Generators 113274h1 [1,-1,0,-42,0] 2 [-6:6:1] 113274h2 [1,-1,0,168,-126] 2 [1:6:1]
113274i (2 curves)	2	2+ 3+ 7- 29- 31-	2+ 3+ -3 7- -3 -7 -3 -1
Curve Equation t Generators 113274i1 [1,-1,0,-64596,6344226] 3 [-279:1749:1]&[147:21:1] 113274i2 [1,-1,0,99399,30453173] 1 [-163:3228:1]&[649:18859:1]
113274j (1 curve)	0	2+ 3- 7+ 29+ 31+	2+ 3-  1 7+  3  4 -2 -1
Curve Equation t 113274j1 [1,-1,0,-32814,2300116] 1
113274k (1 curve)	0	2+ 3- 7+ 29+ 31+	2+ 3-  1 7+  5 -6  0  5
Curve Equation t 113274k1 [1,-1,0,4536,258066] 1
113274l (1 curve)	1	2+ 3- 7+ 29+ 31-	2+ 3- -2 7+  3  4  3 -2
Curve Equation t Generators 113274l1 [1,-1,0,72,12096] 1 [-21:42:1]
113274m (1 curve)	1	2+ 3- 7+ 29- 31+	2+ 3- -1 7+  0  4 -7  1
Curve Equation t Generators 113274m1 [1,-1,0,-18585,979857] 1 [81:-72:1]
113274n (1 curve)	1	2+ 3- 7+ 29- 31+	2+ 3-  2 7+  3 -2 -4 -5
Curve Equation t Generators 113274n1 [1,-1,0,-936,-181440] 1 [528:11832:1]
113274o (1 curve)	1	2+ 3- 7+ 29- 31+	2+ 3-  3 7+  2  0  3 -3
Curve Equation t Generators 113274o1 [1,-1,0,-1503,-17843] 1 [-18:65:1]
113274p (1 curve)	1	2+ 3- 7+ 29- 31+	2+ 3-  3 7+ -4  4 -7  1
Curve Equation t Generators 113274p1 [1,-1,0,-15299613,22307898757] 1 [2867:43328:1]
113274q (2 curves)	1	2+ 3- 7+ 29- 31+	2+ 3-  4 7+ -2 -4 -4  4
Curve Equation t Generators 113274q1 [1,-1,0,-26055,-711747] 2 [18542:881059:8] 113274q2 [1,-1,0,-348615,-79093827] 2 [100470:1528293:125]
113274r (1 curve)	1	2+ 3- 7- 29+ 31+	2+ 3-  0 7-  3  5 -4  5
Curve Equation t Generators 113274r1 [1,-1,0,-59382,5592820] 1 [137:-190:1]
113274s (1 curve)	1	2+ 3- 7- 29+ 31+	2+ 3- -1 7-  2 -4  5  1
Curve Equation t Generators 113274s1 [1,-1,0,-57015,-5155731] 1 [-126:189:1]
113274t (1 curve)	0	2+ 3- 7- 29- 31+	2+ 3- -1 7-  3 -2 -4  3
Curve Equation t 113274t1 [1,-1,0,135,-21011] 1
113274u (2 curves)	0	2+ 3- 7- 29- 31+	2+ 3-  2 7- -4  2 -4  4
Curve Equation t 113274u1 [1,-1,0,-852381,302910597] 2 113274u2 [1,-1,0,-673821,433295109] 2
113274v (1 curve)	0	2+ 3- 7- 29- 31+	2+ 3-  3 7-  1 -4  6  1
Curve Equation t 113274v1 [1,-1,0,21987,-1334907] 1
113274w (1 curve)	0	2+ 3- 7- 29- 31+	2+ 3- -4 7-  3 -2 -1  0
Curve Equation t 113274w1 [1,-1,0,63987156,305044202704] 1
113274x (2 curves)	1	2+ 3- 7- 29- 31-	2+ 3-  0 7-  4  6  2 -8
Curve Equation t Generators 113274x1 [1,-1,0,-40203072,200237764608] 2 [-4977:528822:1] 113274x2 [1,-1,0,-814669632,8944120120320] 2 [15904:92736:1]
113274y (2 curves)	1	2+ 3- 7- 29- 31-	2+ 3-  2 7-  0 -2  2  2
Curve Equation t Generators 113274y1 [1,-1,0,-28386,-1484460] 2 [115080:893805:512] 113274y2 [1,-1,0,59094,-8885268] 2 [5838:161511:8]
113274z (2 curves)	1	2+ 3- 7- 29- 31-	2+ 3-  4 7-  3 -6 -3  0
Curve Equation t Generators 113274z1 [1,-1,0,-82395,-9093627] 1 [369:3078:1] 113274z2 [1,-1,0,584775,109369683] 1 [7299:623403:1]
113274ba (1 curve)	0	2- 3+ 7+ 29+ 31+	2- 3+  2 7+  3 -2  2 -7
Curve Equation t 113274ba1 [1,-1,1,-76169,-9289079] 1
113274bb (2 curves)	0	2- 3+ 7+ 29+ 31+	2- 3+ -2 7+  0  4  4 -2
Curve Equation t 113274bb1 [1,-1,1,-24761,1505845] 2 113274bb2 [1,-1,1,-24491,1540081] 2
113274bc (1 curve)	1	2- 3+ 7+ 29+ 31-	2- 3+  2 7+ -1 -3  2  5
Curve Equation t Generators 113274bc1 [1,-1,1,376,-8045] 1 [35:199:1]
113274bd (2 curves)	0	2- 3+ 7+ 29- 31-	2- 3+  2 7+  0  4  0 -2
Curve Equation t 113274bd1 [1,-1,1,-919244,-97125425] 2 113274bd2 [1,-1,1,3504436,-762446897] 2
113274be (2 curves)	0	2- 3+ 7+ 29- 31-	2- 3+ -2 7+  4  0 -2 -4
Curve Equation t 113274be1 [1,-1,1,-1494656,-702953309] 2 113274be2 [1,-1,1,-1524416,-673479005] 2
113274bf (2 curves)	1	2- 3+ 7- 29+ 31+	2- 3+  0 7-  2  2 -6 -2
Curve Equation t Generators 113274bf1 [1,-1,1,-380,379] 2 [694:5921:8] 113274bf2 [1,-1,1,1510,1891] 2 [225946:2147543:2744]
113274bg (2 curves)	0	2- 3+ 7- 29+ 31-	2- 3+  3 7-  3 -7  3 -1
Curve Equation t 113274bg1 [1,-1,1,11044,-1131577] 3 113274bg2 [1,-1,1,-581366,-170712737] 1
113274bh (1 curve)	0	2- 3+ 7- 29- 31+	2- 3+  4 7-  1 -1 -8  7
Curve Equation t 113274bh1 [1,-1,1,-43981193,-4998897922391] 1
113274bi (4 curves)	1	2- 3+ 7- 29- 31-	2- 3+  0 7- -6  2  6  2
Curve Equation t Generators 113274bi1 [1,-1,1,-43670,3435941] 6 [-111:2683:1] 113274bi2 [1,-1,1,10090,11306405] 6 [-1653:88121:27] 113274bi3 [1,-1,1,-461270,-119230811] 2 [-413:1043:1] 113274bi4 [1,-1,1,-90830,-305636219] 2 [959:21623:1]
113274bj (1 curve)	0	2- 3- 7+ 29+ 31-	2- 3-  1 7+  6  4  3 -5
Curve Equation t 113274bj1 [1,-1,1,-114062,-9767203] 1
113274bk (1 curve)	0	2- 3- 7+ 29- 31+	2- 3-  1 7+  5  1 -1  7
Curve Equation t 113274bk1 [1,-1,1,-1072472,-585806853] 1
113274bl (2 curves)	1	2- 3- 7+ 29- 31-	2- 3-  0 7+  2 -4  0 -4
Curve Equation t Generators 113274bl1 [1,-1,1,-590,5325] 2 [-25:75:1] 113274bl2 [1,-1,1,-1850,-23907] 2 [-31:69:1]
113274bm (2 curves)	1	2- 3- 7+ 29- 31-	2- 3- -2 7+ -2  0 -8 -4
Curve Equation t Generators 113274bm1 [1,-1,1,3544,-48149] 2 [41:-427:1] 113274bm2 [1,-1,1,-16616,-402965] 2 [-47:-499:1]
113274bn (4 curves)	1	2- 3- 7+ 29- 31-	2- 3- -2 7+ -4 -6 -6 -4
Curve Equation t Generators 113274bn1 [1,-1,1,-129371,12017931] 4 [-301:5010:1] 113274bn2 [1,-1,1,-821291,-277204629] 4 [-507:3198:1] 113274bn3 [1,-1,1,311449,-983581293] 2 [3147:174936:1] 113274bn4 [1,-1,1,-13024751,-18089374845] 2 [29739389:556283616:6859]
113274bo (1 curve)	1	2- 3- 7+ 29- 31-	2- 3-  3 7+  2 -4  3 -1
Curve Equation t Generators 113274bo1 [1,-1,1,-20570261,-35904225171] 1 [-2619:1316:1]
113274bp (1 curve)	0	2- 3- 7- 29+ 31+	2- 3-  3 7- -1  2  0  5
Curve Equation t 113274bp1 [1,-1,1,-641,-6407] 1
113274bq (2 curves)	1	2- 3- 7- 29+ 31-	2- 3-  0 7- -3  2 -3 -4
Curve Equation t Generators 113274bq1 [1,-1,1,-17735,-4244515] 1 [2865786:32938993:10648] 113274bq2 [1,-1,1,158440,110043731] 3 [4926:165491:8]
113274br (1 curve)	1	2- 3- 7- 29+ 31-	2- 3-  1 7-  2 -4  7 -5
Curve Equation t Generators 113274br1 [1,-1,1,-1262,17137] 1 [1:125:1]
113274bs (2 curves)	1	2- 3- 7- 29+ 31-	2- 3-  3 7-  0 -4  3 -1
Curve Equation t Generators 113274bs1 [1,-1,1,-21956,-1246597] 1 [-10695:6419:125] 113274bs2 [1,-1,1,-46751,2051399] 3 [-219:1432:1]
113274bt (2 curves)	1	2- 3- 7- 29+ 31-	2- 3- -4 7- -2  0  0  0
Curve Equation t Generators 113274bt1 [1,-1,1,-41297,3239745] 2 [-49:2292:1] 113274bt2 [1,-1,1,-46337,2403105] 2 [-55:2214:1]
113274bu (4 curves)	1	2- 3- 7- 29- 31+	2- 3-  2 7-  0 -2  2  0
Curve Equation t Generators 113274bu1 [1,-1,1,-9914,-313095] 4 [-37:63:1] 113274bu2 [1,-1,1,-151034,-22553607] 4 [477:3471:1] 113274bu3 [1,-1,1,-143474,-24918375] 2 [59355:435441:125] 113274bu4 [1,-1,1,-2416514,-1445275047] 2 [16659:2132075:1]
113274bv (1 curve)	2	2- 3- 7- 29- 31-	2- 3- -1 7- -3 -5 -1 -7
Curve Equation t Generators 113274bv1 [1,-1,1,-77513,8335433] 1 [183:412:1]&[-237:3772:1]
113274bw (1 curve)	2	2- 3- 7- 29- 31-	2- 3- -4 7- -3 -3  0 -7
Curve Equation t Generators 113274bw1 [1,-1,1,-77702,12152085] 1 [1457:-55413:1]&[155:-2031:1]

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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