Cremona's table of elliptic curves

5040 = 2⁴ · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+	Signs for the Atkin-Lehner involutions
Conductor	5040	Conductor
Count	8	Number of curves in isogeny class
Curves	5040bj1 5040bj2 5040bj3 5040bj4 5040bj5 5040bj6 5040bj7 5040bj8	Curves in isogeny class
deg	9216	Modular degree for the optimal curve
Eigenvalues	2- 3- 5- 7+  0  2  6  4	Hecke eigenvalues for primes less than 20
L	2.298344657856	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	630f 20160dr 1680k 25200ef	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 5040bj

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	2	6	4	0	6	4	2	-6	-8	-12	-6	-12	2	-8	0	14	16	12	-6	14

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Quadratic twists for isogeny class 5040bj

-4	8	-3	5	-7
630f	20160dr	1680k	25200ef	35280dy

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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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