Cremona's table of elliptic curves

1292 = 2² · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 17+ 19+	Signs for the Atkin-Lehner involutions
Conductor	1292	Conductor
Count	1	Number of curves in isogeny class
Curves	1292b1	Curves in isogeny class
deg	792	Modular degree for the optimal curve
Eigenvalues	2- -1  2  0  2  2 17+ 19+	Hecke eigenvalues for primes less than 20
L	1.5983739567791	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5168f 20672i 11628f 32300k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1292b

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
-	-1	2	0	2	2	+	+	8	1	7	-2	-2	1	-1	2	6	14	6	8	-6	8	3	6	-5

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Quadratic twists for isogeny class 1292b

-4	8	-3	5	-7	17	-19
5168f	20672i	11628f	32300k	63308o	21964a	24548a

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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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