Cremona's table of elliptic curves

66950 = 2 · 5² · 13 · 103

Class	r	Atkin-Lehner	Eigenvalues
66950a (1 curve)	1	2+ 5+ 13+ 103+	2+  0 5+ -3  3 13+  7 -2
Curve Equation t Generators 66950a1 [1,-1,0,-2813042,1816508116] 1 [825:7121:1]
66950b (1 curve)	1	2+ 5+ 13+ 103+	2+  1 5+  0 -1 13+ -4  2
Curve Equation t Generators 66950b1 [1,0,1,-17501,-25352] 1 [-74:967:1]
66950c (1 curve)	1	2+ 5+ 13+ 103+	2+  1 5+ -2  0 13+  4  7
Curve Equation t Generators 66950c1 [1,0,1,-4876,-722102] 1 [113:359:1]
66950d (1 curve)	1	2+ 5+ 13+ 103+	2+  2 5+  3 -1 13+  7 -8
Curve Equation t Generators 66950d1 [1,1,0,-18525,528125] 1 [-76:47507:64]
66950e (1 curve)	0	2+ 5+ 13+ 103-	2+  0 5+  1  5 13+  3 -2
Curve Equation t 66950e1 [1,-1,0,-6017,147141] 1
66950f (1 curve)	2	2+ 5+ 13+ 103-	2+  1 5+  2 -3 13+ -6 -4
Curve Equation t Generators 66950f1 [1,0,1,-651,-5802] 1 [-18:21:1]&[-114:253:8]
66950g (1 curve)	0	2+ 5+ 13+ 103-	2+ -1 5+  0 -6 13+  1  1
Curve Equation t 66950g1 [1,1,0,-154650,-23403500] 1
66950h (1 curve)	0	2+ 5+ 13+ 103-	2+  2 5+  3 -3 13+ -5  4
Curve Equation t 66950h1 [1,1,0,-2550,48500] 1
66950i (1 curve)	0	2+ 5+ 13+ 103-	2+ -2 5+ -1 -3 13+  3  8
Curve Equation t 66950i1 [1,0,1,-1048593651,-13069549602802] 1
66950j (1 curve)	2	2+ 5+ 13+ 103-	2+ -2 5+ -1 -3 13+ -3 -4
Curve Equation t Generators 66950j1 [1,0,1,92799,3737048] 1 [413:10402:1]&[1:1956:1]
66950k (1 curve)	0	2+ 5+ 13+ 103-	2+  3 5+  4  2 13+ -2  3
Curve Equation t 66950k1 [1,-1,0,-235192,45521216] 1
66950l (1 curve)	0	2+ 5+ 13+ 103-	2+ -3 5+ -2  2 13+ -5  3
Curve Equation t 66950l1 [1,-1,0,1133,-5459] 1
66950m (1 curve)	0	2+ 5+ 13- 103+	2+ -1 5+  4  0 13- -3 -7
Curve Equation t 66950m1 [1,1,0,-2125,-35875] 1
66950n (1 curve)	1	2+ 5+ 13- 103-	2+  2 5+  3 -5 13-  3 -2
Curve Equation t Generators 66950n1 [1,1,0,-875,125] 1 [-29:61:1]
66950o (1 curve)	1	2+ 5+ 13- 103-	2+ -3 5+ -4  4 13- -3 -3
Curve Equation t Generators 66950o1 [1,-1,0,-3817,5341] 1 [-10:211:1]
66950p (1 curve)	0	2+ 5- 13+ 103+	2+  1 5- -2  5 13+  4  2
Curve Equation t 66950p1 [1,0,1,-18201,871548] 1
66950q (1 curve)	0	2+ 5- 13+ 103+	2+  1 5- -2  6 13+ -3  5
Curve Equation t 66950q1 [1,0,1,1674,261798] 1
66950r (1 curve)	2	2+ 5- 13+ 103+	2+ -1 5- -2 -1 13+  0 -6
Curve Equation t Generators 66950r1 [1,1,0,-65,175] 1 [5:0:1]&[-1:16:1]
66950s (1 curve)	1	2+ 5- 13+ 103-	2+ -3 5- -2 -3 13+  5 -1
Curve Equation t Generators 66950s1 [1,-1,0,77783,18172141] 1 [959:1470412:343]
66950t (2 curves)	0	2+ 5- 13- 103-	2+ -2 5-  0  0 13- -4  0
Curve Equation t 66950t1 [1,0,1,-273826,20626548] 2 66950t2 [1,0,1,1006174,158866548] 2
66950u (1 curve)	0	2- 5+ 13+ 103+	2-  1 5+  0 -2 13+  1 -1
Curve Equation t 66950u1 [1,0,0,-163,-683] 1
66950v (1 curve)	0	2- 5+ 13+ 103+	2-  1 5+  3  4 13+ -5 -4
Curve Equation t 66950v1 [1,0,0,-87738,10869092] 1
66950w (1 curve)	0	2- 5+ 13+ 103+	2-  1 5+ -4 -3 13+  0  6
Curve Equation t 66950w1 [1,0,0,-3470463,-2488729333] 1
66950x (3 curves)	0	2- 5+ 13+ 103+	2-  2 5+  1  3 13+  3  2
Curve Equation t 66950x1 [1,1,1,-781138,265404031] 1 66950x2 [1,1,1,-785513,262275031] 1 66950x3 [1,1,1,-7647888,-8038520719] 1
66950y (2 curves)	0	2- 5+ 13+ 103+	2- -2 5+  0 -2 13+ -2 -4
Curve Equation t 66950y1 [1,0,0,-11537013,-15084213983] 2 66950y2 [1,0,0,-184593013,-965334709983] 2
66950z (1 curve)	0	2- 5+ 13+ 103+	2- -2 5+  5  3 13+  3  6
Curve Equation t 66950z1 [1,0,0,-638,6142] 1
66950ba (1 curve)	1	2- 5+ 13+ 103-	2-  3 5+ -2  5 13+ -2  0
Curve Equation t Generators 66950ba1 [1,-1,1,-9630,-317003] 1 [6753:93485:27]
66950bb (1 curve)	1	2- 5+ 13+ 103-	2- -3 5+ -5 -4 13+  3  4
Curve Equation t Generators 66950bb1 [1,-1,1,645,147] 1 [13:-110:1]
66950bc (1 curve)	1	2- 5+ 13- 103+	2-  0 5+ -1 -3 13- -5  2
Curve Equation t Generators 66950bc1 [1,-1,1,-6730,-83853] 1 [-4620:11739:64]
66950bd (1 curve)	1	2- 5+ 13- 103+	2-  2 5+  1 -3 13-  3 -4
Curve Equation t Generators 66950bd1 [1,1,1,-2663,51781] 1 [29:-12:1]
66950be (1 curve)	1	2- 5+ 13- 103+	2- -2 5+ -3 -3 13- -5  8
Curve Equation t Generators 66950be1 [1,0,0,-72069913,-234794922183] 1 [-4774:24019:1]
66950bf (1 curve)	1	2- 5+ 13- 103+	2-  3 5+  2 -3 13- -5 -1
Curve Equation t Generators 66950bf1 [1,-1,1,1944570,2273462197] 1 [14205:1576921:27]
66950bg (1 curve)	0	2- 5+ 13- 103-	2- -1 5+  2  6 13-  3  5
Curve Equation t 66950bg1 [1,1,1,67,2121] 1
66950bh (2 curves)	1	2- 5- 13+ 103+	2-  2 5-  0  0 13+  4  0
Curve Equation t Generators 66950bh1 [1,1,1,-10953,160631] 2 [-21:628:1] 66950bh2 [1,1,1,40247,1287031] 2 [115:2672:1]
66950bi (1 curve)	0	2- 5- 13- 103+	2-  2 5-  1 -3 13-  3 -4
Curve Equation t 66950bi1 [1,1,1,3712,31381] 1
66950bj (1 curve)	0	2- 5- 13- 103+	2-  3 5-  2  2 13-  5  3
Curve Equation t 66950bj1 [1,-1,1,45,-53] 1
66950bk (1 curve)	1	2- 5- 13- 103-	2-  1 5-  2 -1 13-  0 -6
Curve Equation t Generators 66950bk1 [1,0,0,-1638,25142] 1 [134:331:8]
66950bl (1 curve)	1	2- 5- 13- 103-	2- -1 5-  2  5 13- -4  2
Curve Equation t Generators 66950bl1 [1,1,1,-728,6681] 1 [45:237:1]

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

Part of Computational Number Theory
Back to Tables and computations