Cremona's table of elliptic curves

1027 = 13 · 79

Field	Data	Notes
Atkin-Lehner	13- 79-	Signs for the Atkin-Lehner involutions
Conductor	1027	Conductor
Count	3	Number of curves in isogeny class
Curves	1027a1 1027a2 1027a3	Curves in isogeny class
deg	128	Modular degree for the optimal curve
Eigenvalues	0 -2  0 -1  6 13-  0  2	Hecke eigenvalues for primes less than 20
L	1.5905299604663	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	16432j 65728g 9243d 25675c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1027a

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	0	-1	6	-	0	2	-9	6	-4	2	-3	-10	-3	-6	12	-10	14	0	-16	-	6	0	-10

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Quadratic twists for isogeny class 1027a

-4	8	-3	5	-7	-11	13	-79
16432j	65728g	9243d	25675c	50323b	124267c	13351b	81133c

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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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