Cremona's table of elliptic curves

3025 = 5² · 11²

Field	Data	Notes
Atkin-Lehner	5+ 11-	Signs for the Atkin-Lehner involutions
Class	3025g	Isogeny class
Conductor	3025	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	-304487046875 = -1 · 56 · 117	Discriminant
Eigenvalues	-2  1 5+ -2 11-  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-1008,-29606]	[a1,a2,a3,a4,a6]
j	-4096/11	j-invariant
L	0.78682716999922	L(r)(E,1)/r!
Ω	0.39341358499961	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	48400ca1 27225bq1 121d1 275b1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 3025g1

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	1	+	-2	-	4	-2	0	1	0	7	-3	8	-6	-8	6	5	-12	7	-3	4	10	-6	15	7

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Quadratic twists for elliptic curve 3025g1

-4	-3	5	-11
48400ca1	27225bq1	121d1	275b1

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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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