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	1680b1 1680b2 1680b3 1680b4	Curves in isogeny class
deg	3840	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7-  0  6 -2 -4	Hecke eigenvalues for primes less than 20
L	1.3529081754592	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	840d 6720cl 5040q 8400s	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1680b

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

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Quadratic twists for isogeny class 1680b

-4	8	-3	5	-7
840d	6720cl	5040q	8400s	11760bg

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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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