Cremona's table of elliptic curves

71994 = 2 · 3 · 13² · 71

Class	r	Atkin-Lehner	Eigenvalues
71994a (1 curve)	1	2+ 3+ 13+ 71+	2+ 3+  0  1 -6 13+  4  1
Curve Equation t Generators 71994a1 [1,1,0,-579913025,5374930732917] 1 [32687:4603694:1]
71994b (1 curve)	1	2+ 3+ 13+ 71+	2+ 3+  0  4 -5 13+ -4  6
Curve Equation t Generators 71994b1 [1,1,0,-11153665,14900623093] 1 [4472610137:621229718210:6967871]
71994c (1 curve)	1	2+ 3+ 13+ 71+	2+ 3+  0 -4 -1 13+  4  6
Curve Equation t Generators 71994c1 [1,1,0,-510,-4662] 1 [27:33:1]
71994d (1 curve)	1	2+ 3+ 13+ 71+	2+ 3+ -1  1 -3 13+ -2  7
Curve Equation t Generators 71994d1 [1,1,0,-25353,-1566729] 1 [12020:31339:64]
71994e (1 curve)	1	2+ 3+ 13+ 71+	2+ 3+ -1  1  5 13+ -2 -1
Curve Equation t Generators 71994e1 [1,1,0,-52622660613,4646278838326221] 1 [26799814146067747:2497532133550654698:173088067517]
71994f (2 curves)	1	2+ 3+ 13+ 71+	2+ 3+  2 -2 -4 13+ -8 -4
Curve Equation t Generators 71994f1 [1,1,0,31431,-571995] 2 [45:945:1] 71994f2 [1,1,0,-130809,-4822683] 2 [4906:340279:1]
71994g (2 curves)	1	2+ 3+ 13+ 71+	2+ 3+ -2  4  4 13+  0  4
Curve Equation t Generators 71994g1 [1,1,0,68104,-7434240] 2 [12436:226157:64] 71994g2 [1,1,0,-411856,-72420824] 2 [99725692:-2812315721:85184]
71994h (1 curve)	1	2+ 3+ 13+ 71+	2+ 3+  3 -2  4 13+ -3  0
Curve Equation t Generators 71994h1 [1,1,0,-1043071,-408529883] 1 [-187563640379148271806:192846526228001337071:336488386307160088]
71994i (1 curve)	1	2+ 3+ 13+ 71+	2+ 3+ -4  1  2 13+ -2 -1
Curve Equation t Generators 71994i1 [1,1,0,-302,1500] 1 [17:32:1]
71994j (1 curve)	0	2+ 3+ 13+ 71-	2+ 3+  0  3  2 13+ -6  7
Curve Equation t 71994j1 [1,1,0,-871705,287901541] 1
71994k (4 curves)	0	2+ 3+ 13+ 71-	2+ 3+  2  0  0 13+ -2  4
Curve Equation t 71994k1 [1,1,0,-9974,-386940] 2 71994k2 [1,1,0,-13354,-106400] 4 71994k3 [1,1,0,52556,-778682] 2 71994k4 [1,1,0,-133344,18588042] 2
71994l (1 curve)	2	2+ 3+ 13+ 71-	2+ 3+  2 -1  2 13+ -6 -1
Curve Equation t Generators 71994l1 [1,1,0,-19269,656973] 1 [-111:1257:1]&[-99:1317:1]
71994m (1 curve)	0	2+ 3+ 13+ 71-	2+ 3+  3  2 -4 13+ -1  0
Curve Equation t 71994m1 [1,1,0,-16,-8] 1
71994n (1 curve)	0	2+ 3+ 13+ 71-	2+ 3+  4  3  6 13+  4  5
Curve Equation t 71994n1 [1,1,0,-199423,34174405] 1
71994o (2 curves)	0	2+ 3- 13+ 71+	2+ 3-  0  5  6 13+  0  5
Curve Equation t 71994o1 [1,0,1,-805796,274218050] 3 71994o2 [1,0,1,-7034291,-7055474866] 1
71994p (2 curves)	2	2+ 3- 13+ 71+	2+ 3- -1 -3  3 13+ -2 -5
Curve Equation t Generators 71994p1 [1,0,1,-3384,108838] 1 [-64:285:1]&[14:-261:1] 71994p2 [1,0,1,-38874,-11389922] 1 [352:4133:1]&[586:12635:1]
71994q (1 curve)	2	2+ 3- 13+ 71+	2+ 3- -4  1  2 13+ -8  5
Curve Equation t Generators 71994q1 [1,0,1,-173,2] 1 [-12:25:1]&[-18:161:8]
71994r (1 curve)	1	2+ 3- 13+ 71-	2+ 3-  0  3  6 13+ -6 -5
Curve Equation t Generators 71994r1 [1,0,1,-186,-986] 1 [-8:5:1]
71994s (1 curve)	1	2+ 3- 13+ 71-	2+ 3-  0 -3  0 13+  0  1
Curve Equation t Generators 71994s1 [1,0,1,-496721,134704676] 1 [408:-164:1]
71994t (1 curve)	1	2+ 3- 13+ 71-	2+ 3-  1  1 -1 13+ -2  3
Curve Equation t Generators 71994t1 [1,0,1,387682,-113919856] 1 [1938:88009:1]
71994u (1 curve)	1	2+ 3- 13+ 71-	2+ 3-  1  1  3 13+ -2 -1
Curve Equation t Generators 71994u1 [1,0,1,-173,-28390] 1 [13538:49083:343]
71994v (1 curve)	1	2+ 3- 13+ 71-	2+ 3-  1 -2  2 13+  1  6
Curve Equation t Generators 71994v1 [1,0,1,-1032633,403805404] 1 [494:3534:1]
71994w (1 curve)	1	2+ 3- 13+ 71-	2+ 3- -2  1  0 13+ -2 -1
Curve Equation t Generators 71994w1 [1,0,1,-2357,-44224] 1 [-28:15:1]
71994x (1 curve)	2	2- 3+ 13+ 71+	2- 3+  0 -3 -2 13+ -6 -7
Curve Equation t Generators 71994x1 [1,1,1,-5158,129059] 1 [161:1791:1]&[-59:511:1]
71994y (1 curve)	0	2- 3+ 13+ 71+	2- 3+ -1  1  5 13+ -2  5
Curve Equation t 71994y1 [1,1,1,-1033016,-404549215] 1
71994z (1 curve)	2	2- 3+ 13+ 71+	2- 3+ -1 -3 -3 13+ -2  1
Curve Equation t Generators 71994z1 [1,1,1,111959,-1673833] 1 [343:-8960:1]&[31:1336:1]
71994ba (2 curves)	0	2- 3+ 13+ 71+	2- 3+  2  0  0 13+  4 -8
Curve Equation t 71994ba1 [1,1,1,3123,-839649] 2 71994ba2 [1,1,1,-116867,-14902477] 2
71994bb (1 curve)	2	2- 3+ 13+ 71+	2- 3+ -2  1 -2 13+ -6  1
Curve Equation t Generators 71994bb1 [1,1,1,-114,255] 1 [-11:23:1]&[1:11:1]
71994bc (4 curves)	0	2- 3+ 13+ 71+	2- 3+ -2  4  4 13+ -6 -8
Curve Equation t 71994bc1 [1,1,1,-944424309,-11199207950949] 4 71994bc2 [1,1,1,-15121171829,-715698499209829] 4 71994bc3 [1,1,1,-15131555189,-714666389072485] 2 71994bc4 [1,1,1,-241938748789,-45804401714965093] 2
71994bd (1 curve)	0	2- 3+ 13+ 71+	2- 3+  3 -1 -1 13+ -6 -3
Curve Equation t 71994bd1 [1,1,1,81,85119] 1
71994be (1 curve)	0	2- 3+ 13+ 71+	2- 3+ -3 -2  4 13+ -1  0
Curve Equation t 71994be1 [1,1,1,-2792,-3775] 1
71994bf (1 curve)	2	2- 3+ 13+ 71+	2- 3+ -4 -3 -6 13+  4 -5
Curve Equation t Generators 71994bf1 [1,1,1,-1180,15101] 1 [17:-27:1]&[-11:169:1]
71994bg (1 curve)	1	2- 3+ 13+ 71-	2- 3+  0 -1  6 13+  4 -1
Curve Equation t Generators 71994bg1 [1,1,1,-3431438,2445166667] 1 [1137:3319:1]
71994bh (1 curve)	1	2- 3+ 13+ 71-	2- 3+  0  4  1 13+  4 -6
Curve Equation t Generators 71994bh1 [1,1,1,-86278,-9811183] 1 [25991649985714212910540:1835431813315893425594481:5122854532418628032]
71994bi (1 curve)	1	2- 3+ 13+ 71-	2- 3+  0 -4  5 13+ -4 -6
Curve Equation t Generators 71994bi1 [1,1,1,-65998,6756875] 1 [305:-4041:1]
71994bj (2 curves)	1	2- 3+ 13+ 71-	2- 3+  2 -2  2 13+  0  4
Curve Equation t Generators 71994bj1 [1,1,1,-48422,4152611] 2 [83:803:1] 71994bj2 [1,1,1,-778502,264061091] 2 [515:-23:1]
71994bk (1 curve)	1	2- 3+ 13+ 71-	2- 3+ -3 -1 -3 13+ -2 -1
Curve Equation t Generators 71994bk1 [1,1,1,35233,13561517] 1 [-151:2272:1]
71994bl (1 curve)	1	2- 3+ 13+ 71-	2- 3+ -3  2 -4 13+ -3  0
Curve Equation t Generators 71994bl1 [1,1,1,-6172,-188323] 1 [-47:49:1]
71994bm (1 curve)	1	2- 3+ 13+ 71-	2- 3+ -3  5 -1 13+  2  3
Curve Equation t Generators 71994bm1 [1,1,1,3968,-441823] 1 [265:4261:1]
71994bn (1 curve)	1	2- 3+ 13+ 71-	2- 3+  4 -1 -2 13+ -2  1
Curve Equation t Generators 71994bn1 [1,1,1,-51126,3550971] 1 [955:28277:1]
71994bo (1 curve)	1	2- 3- 13+ 71+	2- 3-  0  3  0 13+  0 -1
Curve Equation t Generators 71994bo1 [1,0,0,-83945768,296030119488] 1 [8464:433816:1]
71994bp (1 curve)	1	2- 3- 13+ 71+	2- 3-  0 -3 -6 13+ -6  5
Curve Equation t Generators 71994bp1 [1,0,0,-31353,-2134341] 1 [-6540:7833:64]
71994bq (1 curve)	1	2- 3- 13+ 71+	2- 3- -1  2 -2 13+  1 -6
Curve Equation t Generators 71994bq1 [1,0,0,-174514896,887334988032] 1 [7584:2352:1]
71994br (1 curve)	1	2- 3- 13+ 71+	2- 3-  2 -1  0 13+ -2  1
Curve Equation t Generators 71994br1 [1,0,0,-398252,-96761328] 1 [-362:208:1]
71994bs (2 curves)	1	2- 3- 13+ 71+	2- 3-  3 -5  3 13+  6  7
Curve Equation t Generators 71994bs1 [1,0,0,117536,18539936] 1 [170:-6676:1] 71994bs2 [1,0,0,-1142359,-772926103] 1 [259338:25118255:27]
71994bt (2 curves)	2	2- 3- 13+ 71-	2- 3-  0 -5 -6 13+  0 -5
Curve Equation t Generators 71994bt1 [1,0,0,-4768,124448] 1 [-76:260:1]&[-28:500:1] 71994bt2 [1,0,0,-41623,-3214615] 1 [-16130:-5567:125]&[-986:2227:8]
71994bu (1 curve)	0	2- 3- 13+ 71-	2- 3-  1 -1 -5 13+ -2  7
Curve Equation t 71994bu1 [1,0,0,-97770,-12138972] 1
71994bv (2 curves)	2	2- 3- 13+ 71-	2- 3- -3  1 -3 13+ -6 -5
Curve Equation t Generators 71994bv1 [1,0,0,-3888102,2951564004] 1 [-18114:106401:8]&[924:-12630:1] 71994bv2 [1,0,0,2477283,11321634609] 1 [36258:6893295:1]&[-1702:47495:1]
71994bw (1 curve)	0	2- 3- 13+ 71-	2- 3-  4 -1 -2 13+ -8 -5
Curve Equation t 71994bw1 [1,0,0,-29156,34098] 1

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

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