Cremona's table of elliptic curves

5187 = 3 · 7 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
5187a (1 curve)	1	3+ 7+ 13- 19-	-2 3+ -2 7+ -3 13-  6 19-
Curve Equation t Generators 5187a1 [0,-1,1,-624,6464] 1 [26:84:1]
5187b (4 curves)	0	3+ 7- 13+ 19+	-1 3+  2 7-  0 13+ -2 19+
Curve Equation t 5187b1 [1,1,1,-217,1118] 4 5187b2 [1,1,1,-462,-2214] 4 5187b3 [1,1,1,-6377,-198592] 2 5187b4 [1,1,1,1533,-14184] 2
5187c (4 curves)	0	3+ 7- 13- 19-	1 3+  2 7- -4 13- -6 19-
Curve Equation t 5187c1 [1,1,0,-324,2115] 2 5187c2 [1,1,0,-329,2040] 4 5187c3 [1,1,0,-994,-9797] 2 5187c4 [1,1,0,256,9177] 4
5187d (4 curves)	1	3- 7+ 13+ 19-	1 3- -2 7+  4 13+  2 19-
Curve Equation t Generators 5187d1 [1,0,1,18,-485] 2 [71:564:1] 5187d2 [1,0,1,-827,-8935] 4 [-15:19:1] 5187d3 [1,0,1,-13112,-578959] 2 [2358:35639:8] 5187d4 [1,0,1,-2062,23669] 2 [-23:254:1]
5187e (2 curves)	1	3- 7+ 13+ 19-	-1 3-  2 7+  2 13+  4 19-
Curve Equation t Generators 5187e1 [1,0,0,-27,0] 2 [-3:9:1] 5187e2 [1,0,0,108,27] 2 [3:18:1]
5187f (1 curve)	1	3- 7+ 13- 19+	0 3- -4 7+ -3 13-  2 19+
Curve Equation t Generators 5187f1 [0,1,1,-12955,-571895] 1 [211:2476:1]
5187g (1 curve)	1	3- 7+ 13- 19+	-1 3- -1 7+  3 13-  0 19+
Curve Equation t Generators 5187g1 [1,0,0,-2671,-59998] 1 [179:-2371:1]
5187h (1 curve)	1	3- 7- 13+ 19+	-1 3-  1 7-  5 13+ -8 19+
Curve Equation t Generators 5187h1 [1,0,0,-20,129] 1 [-5:13:1]
5187i (2 curves)	1	3- 7- 13+ 19+	-1 3- -2 7-  2 13+  4 19+
Curve Equation t Generators 5187i1 [1,0,0,-1684,-26521] 2 [-25:23:1] 5187i2 [1,0,0,-469,-63700] 2 [203:-2968:1]
5187j (4 curves)	1	3- 7- 13+ 19+	-1 3- -2 7- -4 13+ -2 19+
Curve Equation t Generators 5187j1 [1,0,0,-399,-2352] 2 [-7:14:1] 5187j2 [1,0,0,-2204,37719] 4 [-5:223:1] 5187j3 [1,0,0,-34789,2494628] 2 [-19:1784:1] 5187j4 [1,0,0,1501,152574] 2 [66:702:1]
5187k (1 curve)	1	3- 7- 13+ 19+	2 3- -2 7- -1 13+ -2 19+
Curve Equation t Generators 5187k1 [0,1,1,-14,-37] 1 [42:59:8]
5187l (3 curves)	1	3- 7- 13- 19-	0 3-  0 7-  3 13- -6 19-
Curve Equation t Generators 5187l1 [0,1,1,-343,2350] 3 [10:4:1] 5187l2 [0,1,1,1007,13447] 3 [19:199:1] 5187l3 [0,1,1,-9913,-593432] 1 [4442:102881:8]

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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