Cremona's table of elliptic curves

1025 = 5² · 41

Field	Data	Notes
Atkin-Lehner	5+ 41+	Signs for the Atkin-Lehner involutions
Conductor	1025	Conductor
Count	2	Number of curves in isogeny class
Curves	1025a1 1025a2	Curves in isogeny class
deg	192	Modular degree for the optimal curve
Eigenvalues	-1 -2 5+ -2  0  4 -4  0	Hecke eigenvalues for primes less than 20
L	1.1302450721524	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	16400n 65600e 9225x 205c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1025a

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

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Quadratic twists for isogeny class 1025a

-4	8	-3	5	-7	-11	41
16400n	65600e	9225x	205c	50225l	124025j	42025c

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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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