Cremona's table of elliptic curves

975 = 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	3+ 5+ 13+	Signs for the Atkin-Lehner involutions
Conductor	975	Conductor
Count	8	Number of curves in isogeny class
Curves	975a1 975a2 975a3 975a4 975a5 975a6 975a7 975a8	Curves in isogeny class
deg	576	Modular degree for the optimal curve
Eigenvalues	1 3+ 5+  0  4 13+ -2 -4	Hecke eigenvalues for primes less than 20
L	2.6002925141077	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	15600bz 62400cs 2925g 195a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 975a

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	-4	-8	-2	-8	-6	-6	4	8	-6	-12	-2	4	0	6	16	4	10	-18

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Quadratic twists for isogeny class 975a

-4	8	-3	5	-7	-11	13
15600bz	62400cs	2925g	195a	47775cp	117975p	12675e

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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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