Cremona's table of elliptic curves

225 = 3² · 5²

Field	Data	Notes
Atkin-Lehner	3+ 5-	Signs for the Atkin-Lehner involutions
Class	225b	Isogeny class
Conductor	225	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-7688671875 = -1 · 39 · 58	Discriminant
Eigenvalues	0 3+ 5-  5  0  5  0 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,0,-4219]	[a1,a2,a3,a4,a6]
j	0	j-invariant
L	1.208363907782	L(r)(E,1)/r!
Ω	0.60418195389102	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3600be2 14400u2 225b1 225a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 225b2

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	+	-	5	0	5	0	-1	0	0	-7	-10	0	5	0	0	0	-13	5	0	-10	-4	0	0	5

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Quadratic twists for elliptic curve 225b2

-4	8	-3	5	-7	-11	13	17	-19	-23
3600be2	14400u2	225b1	225a2	11025l2	27225s2	38025t2	65025x2	81225j2	119025p2

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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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