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	8	Number of curves in isogeny class
Curves	1680k1 1680k2 1680k3 1680k4 1680k5 1680k6 1680k7 1680k8	Curves in isogeny class
deg	1152	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ 7+  0  2 -6  4	Hecke eigenvalues for primes less than 20
L	1.09598520644	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	210a 6720cg 5040bj 8400ce	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1680k

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

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Quadratic twists for isogeny class 1680k

-4	8	-3	5	-7
210a	6720cg	5040bj	8400ce	11760co

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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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