Cremona's table of elliptic curves

225 = 3² · 5²

Field	Data	Notes
Atkin-Lehner	3- 5-	Signs for the Atkin-Lehner involutions
Conductor	225	Conductor
Count	2	Number of curves in isogeny class
Curves	225e1 225e2	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	-2 3- 5- -3 -2  1 -2 -5	Hecke eigenvalues for primes less than 20
L	0.82781238853188	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3600bp 14400cm 75a 225d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 225e

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	-	-	-3	-2	1	-2	-5	-6	-10	-3	2	8	1	-2	4	10	7	-3	8	-14	0	-6	0	17

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Quadratic twists for isogeny class 225e

-4	8	-3	5	-7	-11	13	17	-19	-23
3600bp	14400cm	75a	225d	11025bp	27225ca	38025cp	65025ck	81225bs	119025cw

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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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