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	5040bi1 5040bi2 5040bi3 5040bi4 5040bi5 5040bi6 5040bi7 5040bi8	Curves in isogeny class
deg	24576	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7- -4 -2 -2 -4	Hecke eigenvalues for primes less than 20
L	1.1846453990106	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	630c 20160ff 1680p 25200dz	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 5040bi

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	2	0	6	6	4	0	10	12	14	12	-8	10	-16	-12	-10	2

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Quadratic twists for isogeny class 5040bi

-4	8	-3	5	-7
630c	20160ff	1680p	25200dz	35280fs

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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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