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	2925g	Isogeny class
Conductor	2925	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	277646484375 = 37 · 510 · 13	Discriminant
Eigenvalues	-1 3- 5+  0 -4 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-29250005,60896057622]	[a1,a2,a3,a4,a6]
j	242970740812818720001/24375	j-invariant
L	0.76123039325291	L(r)(E,1)/r!
Ω	0.38061519662645	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	46800cw8 975a7 585f7 38025bb8	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 2925g7

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	8	2	-8	-6	6	4	-8	6	12	-2	4	0	6	16	-4	-10	-18

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Quadratic twists for elliptic curve 2925g7

-4	-3	5	13
46800cw8	975a7	585f7	38025bb8

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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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