Cremona's table of elliptic curves

1656 = 2³ · 3² · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 23+	Signs for the Atkin-Lehner involutions
Conductor	1656	Conductor
Count	4	Number of curves in isogeny class
Curves	1656a1 1656a2 1656a3 1656a4	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2 -4  4 -2  2  0	Hecke eigenvalues for primes less than 20
L	1.0643355221662	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3312g 13248h 552d 41400cb	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1656a

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

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Quadratic twists for isogeny class 1656a

-4	8	-3	5	-7	-23
3312g	13248h	552d	41400cb	81144q	38088h

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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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