Cremona's table of elliptic curves

1680 = 2⁴ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+	Signs for the Atkin-Lehner involutions
Conductor	1680	Conductor
Count	4	Number of curves in isogeny class
Curves	1680l1 1680l2 1680l3 1680l4	Curves in isogeny class
deg	288	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ 7+ -6 -4  6 -2	Hecke eigenvalues for primes less than 20
L	0.85314483698831	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	420c 6720cj 5040bl 8400ck	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1680l

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

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Quadratic twists for isogeny class 1680l

-4	8	-3	5	-7
420c	6720cj	5040bl	8400ck	11760ct

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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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