Cremona's table of elliptic curves

130 = 2 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 13-	Signs for the Atkin-Lehner involutions
Conductor	130	Conductor
Count	4	Number of curves in isogeny class
Curves	130b1 130b2 130b3 130b4	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2-  0 5-  0  0 13-  2 -8	Hecke eigenvalues for primes less than 20
L	1.564713754401	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1040f 4160a 1170c 650a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 130b

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	0	-	0	0	-	2	-8	-4	-2	-4	6	10	0	8	6	8	-2	4	-12	10	-8	12	10	-14

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Quadratic twists for isogeny class 130b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1040f	4160a	1170c	650a	6370l	15730k	1690a	37570j	46930r	68770p	109330l	124930j

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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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