Cremona's table of elliptic curves

62400 = 2⁶ · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13-	Signs for the Atkin-Lehner involutions
Conductor	62400	Conductor
Count	8	Number of curves in isogeny class
Curves	62400ep1 62400ep2 62400ep3 62400ep4 62400ep5 62400ep6 62400ep7 62400ep8	Curves in isogeny class
deg	294912	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+  0  4 13- -2 -4	Hecke eigenvalues for primes less than 20
L	5.9302480811757	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	62400cs 15600bz 12480cj	Quadratic twists by: -4 8 5

Hecke Eigenvalues for isogeny class 62400ep

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	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 62400ep

-4	8	5
62400cs	15600bz	12480cj

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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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