Cremona's table of elliptic curves

325 = 5² · 13

Field	Data	Notes
Atkin-Lehner	5- 13+	Signs for the Atkin-Lehner involutions
Conductor	325	Conductor
Count	2	Number of curves in isogeny class
Curves	325d1 325d2	Curves in isogeny class
deg	84	Modular degree for the optimal curve
Eigenvalues	2  1 5-  2  2 13+  2  0	Hecke eigenvalues for primes less than 20
L	3.0163634988532	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5200bf 20800bx 2925r 325e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 325d

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	-	2	2	+	2	0	-9	5	2	-8	12	1	-8	11	0	-13	2	12	6	15	-4	-10	-8

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Quadratic twists for isogeny class 325d

-4	8	-3	5	-7	-11	13	17	-19
5200bf	20800bx	2925r	325e	15925y	39325w	4225i	93925q	117325w

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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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