Cremona's table of elliptic curves

2925 = 3² · 5² · 13

Field	Data	Notes
Atkin-Lehner	3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	2925f	Isogeny class
Conductor	2925	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	975982921875 = 37 · 56 · 134	Discriminant
Eigenvalues	1 3- 5+  4 -4 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-4392,-100359]	[a1,a2,a3,a4,a6]
j	822656953/85683	j-invariant
L	2.3615785860683	L(r)(E,1)/r!
Ω	0.59039464651708	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	46800dm3 975g4 117a3 38025bm3	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 2925f3

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

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Quadratic twists for elliptic curve 2925f3

-4	-3	5	13
46800dm3	975g4	117a3	38025bm3

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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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