Cremona's table of elliptic curves

9075 = 3 · 5² · 11²

Field	Data	Notes
Atkin-Lehner	3+ 5+ 11+	Signs for the Atkin-Lehner involutions
Class	9075d	Isogeny class
Conductor	9075	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-116982421875 = -1 · 32 · 510 · 113	Discriminant
Eigenvalues	-1 3+ 5+ -2 11+  4 -6  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,1037,-9844]	[a1,a2,a3,a4,a6]
Generators	[40:292:1]	Generators of the group modulo torsion
j	5929741/5625	j-invariant
L	2.0571634351693	L(r)(E,1)/r!
Ω	0.57373706176719	Real period
R	0.89638772368693	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	27225bc2 1815b2 9075b2	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 9075d2

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

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Quadratic twists for elliptic curve 9075d2

-3	5	-11
27225bc2	1815b2	9075b2

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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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