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	4	Number of curves in isogeny class
Curves	5040p1 5040p2 5040p3 5040p4	Curves in isogeny class
deg	1024	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- 7+ -4  2  2  0	Hecke eigenvalues for primes less than 20
L	3.8942539361866	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2520j 20160dv 1680f 25200bt	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 5040p

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

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Quadratic twists for isogeny class 5040p

-4	8	-3	5	-7
2520j	20160dv	1680f	25200bt	35280br

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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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