Cremona's table of elliptic curves

1210 = 2 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 5- 11-	Signs for the Atkin-Lehner involutions
Class	1210f	Isogeny class
Conductor	1210	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-9680 = -1 · 24 · 5 · 112	Discriminant
Eigenvalues	2+ -1 5-  3 11-  0 -8 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-2,4]	[a1,a2,a3,a4,a6]
Generators	[0:2:1]	Generators of the group modulo torsion
j	-14641/80	j-invariant
L	1.8602023767436	L(r)(E,1)/r!
Ω	3.5364900755566	Real period
R	0.2630012154708	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	9680z1 38720j1 10890br1 6050ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1210f1

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	-	3	-	0	-8	-8	0	-2	6	0	-5	-1	-5	8	-10	-7	-7	-14	16	-10	12	9	12

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Quadratic twists for elliptic curve 1210f1

-4	8	-3	5	-7	-11
9680z1	38720j1	10890br1	6050ba1	59290l1	1210m1

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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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