Cremona's table of elliptic curves

42978 = 2 · 3 · 13 · 19 · 29

Class	r	Atkin-Lehner	Eigenvalues
42978a (1 curve)	1	2+ 3+ 13- 19+ 29-	2+ 3+  2 -1  6 13- -3 19+
Curve Equation t Generators 42978a1 [1,1,0,321,8133] 1 [-11:64:1]
42978b (4 curves)	1	2+ 3+ 13- 19+ 29-	2+ 3+  2  4 -4 13-  2 19+
Curve Equation t Generators 42978b1 [1,1,0,-62787289,-190908660587] 2 [-30179825335:-49055088022:6331625] 42978b2 [1,1,0,-1003704909,-12239735151735] 4 [-1203420523849062240208935:583203463776793988782458:65786856220861454125] 42978b3 [1,1,0,-1002813239,-12262566362085] 2 [917749464690394252191385241748962076083957365:-132120246395404092516491365992555613352121836882:19412027466235342133355857853911217755375] 42978b4 [1,1,0,-16059278499,-783322981022457] 2 [-6181357217465169685967144546182304262865451045:3090677660428589661427136514702336234427021506:84484877994478327937883876233601454935125]
42978c (1 curve)	0	2+ 3+ 13- 19- 29-	2+ 3+ -1 -3  0 13-  6 19-
Curve Equation t 42978c1 [1,1,0,-43848,-3552384] 1
42978d (1 curve)	1	2+ 3- 13- 19+ 29+	2+ 3-  1 -1  4 13- -2 19+
Curve Equation t Generators 42978d1 [1,0,1,502,17984] 1 [48:-416:1]
42978e (1 curve)	2	2+ 3- 13- 19+ 29-	2+ 3- -2  0 -3 13- -3 19+
Curve Equation t Generators 42978e1 [1,0,1,-9237,341656] 1 [56:0:1]&[-58:855:1]
42978f (1 curve)	2	2- 3+ 13+ 19+ 29+	2- 3+ -4 -2 -3 13+  3 19+
Curve Equation t Generators 42978f1 [1,1,1,-20,341] 1 [-7:17:1]&[-1:19:1]
42978g (1 curve)	1	2- 3+ 13+ 19+ 29-	2- 3+  2  3  3 13+ -4 19+
Curve Equation t Generators 42978g1 [1,1,1,-15841497,-24275349657] 1 [4731:79472:1]
42978h (1 curve)	1	2- 3+ 13+ 19+ 29-	2- 3+  2 -3  6 13+ -1 19+
Curve Equation t Generators 42978h1 [1,1,1,113988,818888349] 1 [-5307:761017:27]
42978i (1 curve)	1	2- 3+ 13+ 19- 29+	2- 3+ -1 -1  4 13+  2 19-
Curve Equation t Generators 42978i1 [1,1,1,8259,-1877805] 1 [117:782:1]
42978j (1 curve)	1	2- 3+ 13+ 19- 29+	2- 3+  2 -1 -2 13+  5 19-
Curve Equation t Generators 42978j1 [1,1,1,-267,-1791] 1 [209:2916:1]
42978k (4 curves)	1	2- 3+ 13+ 19- 29+	2- 3+ -2 -4  0 13+  6 19-
Curve Equation t Generators 42978k1 [1,1,1,-789,-4869] 2 [-9:44:1] 42978k2 [1,1,1,-5909,169211] 4 [63:-260:1] 42978k3 [1,1,1,331,516155] 2 [11:-728:1] 42978k4 [1,1,1,-94069,11065787] 2 [179:-36:1]
42978l (1 curve)	1	2- 3+ 13- 19- 29-	2- 3+  0 -2  1 13- -3 19-
Curve Equation t Generators 42978l1 [1,1,1,1276667,-2378603125] 1 [1063:12924:1]
42978m (2 curves)	1	2- 3+ 13- 19- 29-	2- 3+  0  4  4 13- -6 19-
Curve Equation t Generators 42978m1 [1,1,1,-58,-157] 2 [-26:33:8] 42978m2 [1,1,1,132,-765] 2 [1190:14017:8]
42978n (1 curve)	1	2- 3+ 13- 19- 29-	2- 3+  1  1 -2 13-  8 19-
Curve Equation t Generators 42978n1 [1,1,1,-390,25683] 1 [-9:173:1]
42978o (1 curve)	1	2- 3+ 13- 19- 29-	2- 3+  1 -3  2 13-  4 19-
Curve Equation t Generators 42978o1 [1,1,1,1835,-216517] 1 [127:-1508:1]
42978p (1 curve)	1	2- 3+ 13- 19- 29-	2- 3+  2  3 -3 13-  0 19-
Curve Equation t Generators 42978p1 [1,1,1,28,869] 1 [-1:29:1]
42978q (1 curve)	1	2- 3+ 13- 19- 29-	2- 3+ -2 -3  2 13-  1 19-
Curve Equation t Generators 42978q1 [1,1,1,-279,-15393] 1 [358:1845:8]
42978r (2 curves)	1	2- 3- 13+ 19- 29-	2- 3- -1  1 -2 13+  4 19-
Curve Equation t Generators 42978r1 [1,0,0,-459769306,3796241996132] 7 [9812:474326:1] 42978r2 [1,0,0,2127889334,-194909741524108] 1 [1998424610:-101876593624:42875]
42978s (1 curve)	1	2- 3- 13+ 19- 29-	2- 3-  2  1 -5 13+  4 19-
Curve Equation t Generators 42978s1 [1,0,0,63758,-5751292] 1 [1916:83606:1]
42978t (1 curve)	2	2- 3- 13- 19+ 29+	2- 3- -1 -5 -6 13- -4 19+
Curve Equation t Generators 42978t1 [1,0,0,-2801,63849] 1 [202:2683:1]&[28:-101:1]
42978u (2 curves)	0	2- 3- 13- 19+ 29+	2- 3-  2 -4  0 13-  4 19+
Curve Equation t 42978u1 [1,0,0,-162,-588] 2 42978u2 [1,0,0,418,-3720] 2
42978v (2 curves)	2	2- 3- 13- 19+ 29+	2- 3- -4 -2 -3 13- -7 19+
Curve Equation t Generators 42978v1 [1,0,0,-803575,284546441] 5 [-1030:4961:1]&[-580:23861:1] 42978v2 [1,0,0,3910355,-13981592329] 1 [150526:20664757:8]&[5291818:71637061:2744]
42978w (1 curve)	1	2- 3- 13- 19+ 29-	2- 3- -2  1  5 13- -4 19+
Curve Equation t Generators 42978w1 [1,0,0,-137104,19773608] 1 [62:-3424:1]
42978x (3 curves)	1	2- 3- 13- 19- 29+	2- 3-  0 -1  0 13- -3 19-
Curve Equation t Generators 42978x1 [1,0,0,-1493,25569] 3 [-44:103:1] 42978x2 [1,0,0,10387,-132327] 3 [16:187:1] 42978x3 [1,0,0,-174863,-29029845] 1 [147210:2729975:216]
42978y (2 curves)	1	2- 3- 13- 19- 29+	2- 3-  0  2 -3 13- -3 19-
Curve Equation t Generators 42978y1 [1,0,0,75992,2844224] 3 [16:2008:1] 42978y2 [1,0,0,-876328,-368247232] 1 [1324:27496:1]

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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