Cremona's table of elliptic curves

1624 = 2³ · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 7- 29-	Signs for the Atkin-Lehner involutions
Conductor	1624	Conductor
Count	4	Number of curves in isogeny class
Curves	1624e1 1624e2 1624e3 1624e4	Curves in isogeny class
deg	176	Modular degree for the optimal curve
Eigenvalues	2-  0 -2 7- -4 -2  6  0	Hecke eigenvalues for primes less than 20
L	1.1770163752543	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3248c 12992j 14616d 40600c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1624e

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

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Quadratic twists for isogeny class 1624e

-4	8	-3	5	-7	29
3248c	12992j	14616d	40600c	11368n	47096d

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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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