Cremona's table of elliptic curves

504 = 2³ · 3² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+	Signs for the Atkin-Lehner involutions
Conductor	504	Conductor
Count	4	Number of curves in isogeny class
Curves	504c1 504c2 504c3 504c4	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2 7+  4  2  6  8	Hecke eigenvalues for primes less than 20
L	1.3257183030913	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1008h 4032g 56a 12600cc	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 504c

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
+	-	-2	+	4	2	6	8	0	-6	8	-2	-2	-4	8	-6	0	-6	-4	8	10	16	-8	6	-6

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Quadratic twists for isogeny class 504c

-4	8	-3	5	-7	-11	13
1008h	4032g	56a	12600cc	3528k	60984ch	85176ce

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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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