Cremona's table of elliptic curves

12615 = 3 · 5 · 29²

Field	Data	Notes
Atkin-Lehner	3- 5- 29+	Signs for the Atkin-Lehner involutions
Conductor	12615	Conductor
Count	8	Number of curves in isogeny class
Curves	12615f1 12615f2 12615f3 12615f4 12615f5 12615f6 12615f7 12615f8	Curves in isogeny class
deg	6272	Modular degree for the optimal curve
Eigenvalues	1 3- 5-  0  4 -2 -2 -4	Hecke eigenvalues for primes less than 20
L	7.237290736105	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	37845d 63075c 15a	Quadratic twists by: -3 5 29

Hecke Eigenvalues for isogeny class 12615f

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
1	-	-	0	4	-2	-2	-4	0	+	0	10	-10	-4	-8	-10	-4	2	12	-8	-10	0	12	6	-2

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Quadratic twists for isogeny class 12615f

-3	5	29
37845d	63075c	15a

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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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