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	1680m1 1680m2 1680m3 1680m4 1680m5 1680m6 1680m7 1680m8	Curves in isogeny class
deg	2304	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5- 7+  0  2 -6 -8	Hecke eigenvalues for primes less than 20
L	2.5723360911699	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	210b 6720bw 5040bc 8400cf	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1680m

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

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Quadratic twists for isogeny class 1680m

-4	8	-3	5	-7
210b	6720bw	5040bc	8400cf	11760cd

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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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