Cremona's table of elliptic curves

65025 = 3² · 5² · 17²

Field	Data	Notes
Atkin-Lehner	3- 5+ 17+	Signs for the Atkin-Lehner involutions
Conductor	65025	Conductor
Count	8	Number of curves in isogeny class
Curves	65025bn1 65025bn2 65025bn3 65025bn4 65025bn5 65025bn6 65025bn7 65025bn8	Curves in isogeny class
deg	245760	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+  0 -4  2 17+  4	Hecke eigenvalues for primes less than 20
L	0.79968452717883	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	21675c 13005n 225c	Quadratic twists by: -3 5 17

Hecke Eigenvalues for isogeny class 65025bn

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

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Quadratic twists for isogeny class 65025bn

-3	5	17
21675c	13005n	225c

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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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