Cremona's table of elliptic curves

1612 = 2² · 13 · 31

Field	Data	Notes
Atkin-Lehner	2- 13- 31-	Signs for the Atkin-Lehner involutions
Conductor	1612	Conductor
Count	1	Number of curves in isogeny class
Curves	1612d1	Curves in isogeny class
deg	336	Modular degree for the optimal curve
Eigenvalues	2-  2  1  3  2 13-  6  3	Hecke eigenvalues for primes less than 20
L	3.2375990423095	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	6448k 25792m 14508k 40300c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1612d

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	1	3	2	-	6	3	-6	-8	-	-6	11	0	0	12	-7	-2	-4	-3	6	4	6	-12	-3

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Quadratic twists for isogeny class 1612d

-4	8	-3	5	-7	13	-31
6448k	25792m	14508k	40300c	78988e	20956b	49972b

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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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