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	1210a	Isogeny class
Conductor	1210	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2357947691000000 = 26 · 56 · 119	Discriminant
Eigenvalues	2+  2 5+  0 11+ -6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-450848,116307008]	[a1,a2,a3,a4,a6]
Generators	[664:10168:1]	Generators of the group modulo torsion
j	4298149261979/1000000	j-invariant
L	2.4470863060931	L(r)(E,1)/r!
Ω	0.44787547434295	Real period
R	2.7318824609487	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	9680m2 38720bb2 10890bw2 6050x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1210a2

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	+	0	+	-6	-6	0	-6	0	4	-2	-12	12	6	6	0	0	-14	0	-6	12	12	6	-10

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Quadratic twists for elliptic curve 1210a2

-4	8	-3	5	-7	-11
9680m2	38720bb2	10890bw2	6050x2	59290bm2	1210h2

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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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