Cremona's table of elliptic curves

9251 = 11 · 29²

Field	Data	Notes
Atkin-Lehner	11+ 29+	Signs for the Atkin-Lehner involutions
Class	9251a	Isogeny class
Conductor	9251	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	5040	Modular degree for the optimal curve
Δ	-6543056531 = -1 · 11 · 296	Discriminant
Eigenvalues	2  1  1 -2 11+  4  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-280,4197]	[a1,a2,a3,a4,a6]
Generators	[-3960:39271:512]	Generators of the group modulo torsion
j	-4096/11	j-invariant
L	9.727616822553	L(r)(E,1)/r!
Ω	1.1784312548783	Real period
R	4.1273586313518	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	83259m1 101761i1 11a3	Quadratic twists by: -3 -11 29

Hecke Eigenvalues for elliptic curve 9251a1

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

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Quadratic twists for elliptic curve 9251a1

-3	-11	29
83259m1	101761i1	11a3

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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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