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	5040bc1 5040bc2 5040bc3 5040bc4 5040bc5 5040bc6 5040bc7 5040bc8	Curves in isogeny class
deg	18432	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7+  0  2  6 -8	Hecke eigenvalues for primes less than 20
L	3.5435573885183	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	630i 20160en 1680m 25200eg	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 5040bc

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	-8	0	-6	4	-10	6	4	0	6	-12	-10	4	12	-10	-8	12	6	-10

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Quadratic twists for isogeny class 5040bc

-4	8	-3	5	-7
630i	20160en	1680m	25200eg	35280fe

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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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