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	6	Number of curves in isogeny class
Curves	5040bg1 5040bg2 5040bg3 5040bg4 5040bg5 5040bg6	Curves in isogeny class
deg	6144	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7+  4 -2 -2  4	Hecke eigenvalues for primes less than 20
L	3.5824816586481	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	630d 20160ev 1680t 25200er	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 5040bg

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
-	-	+	+	4	-2	-2	4	-8	-6	8	-2	-2	12	-8	-6	4	-2	-12	8	-14	0	12	-2	10

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Quadratic twists for isogeny class 5040bg

-4	8	-3	5	-7
630d	20160ev	1680t	25200er	35280fq

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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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