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	5040l1 5040l2 5040l3 5040l4 5040l5 5040l6	Curves in isogeny class
deg	2048	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7-  4 -2 -2 -4	Hecke eigenvalues for primes less than 20
L	3.7907974860046	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2520f 20160fh 1680d 25200bc	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 5040l

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

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Quadratic twists for isogeny class 5040l

-4	8	-3	5	-7
2520f	20160fh	1680d	25200bc	35280cj

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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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