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	2925r	Isogeny class
Conductor	2925	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	105731483203125 = 36 · 58 · 135	Discriminant
Eigenvalues	-2 3- 5-  2 -2 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-22125,-1166094]	[a1,a2,a3,a4,a6]
Generators	[-96:270:1]	Generators of the group modulo torsion
j	4206161920/371293	j-invariant
L	1.8235060780912	L(r)(E,1)/r!
Ω	0.39365835428914	Real period
R	4.6322046978632	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	46800es2 325d2 2925m1 38025co2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 2925r2

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	-	-	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 elliptic curve 2925r2

-4	-3	5	13
46800es2	325d2	2925m1	38025co2

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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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