Cremona's table of elliptic curves

507 = 3 · 13²

Field	Data	Notes
Atkin-Lehner	3+ 13+	Signs for the Atkin-Lehner involutions
Conductor	507	Conductor
Count	4	Number of curves in isogeny class
Curves	507c1 507c2 507c3 507c4	Curves in isogeny class
deg	168	Modular degree for the optimal curve
Eigenvalues	-1 3+ -2  4 -4 13+  2  0	Hecke eigenvalues for primes less than 20
L	1.1623161892614	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	8112bh 32448be 1521d 12675w	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 507c

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

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Quadratic twists for isogeny class 507c

-4	8	-3	5	-7	-11	13
8112bh	32448be	1521d	12675w	24843s	61347k	39a

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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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