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	1210c	Isogeny class
Conductor	1210	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-779486840 = -1 · 23 · 5 · 117	Discriminant
Eigenvalues	2+  1 5+  1 11- -2  3  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-124,-1454]	[a1,a2,a3,a4,a6]
j	-117649/440	j-invariant
L	1.3108526325824	L(r)(E,1)/r!
Ω	0.65542631629122	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	9680r1 38720bi1 10890bz1 6050bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1210c1

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	+	1	-	-2	3	1	6	9	5	5	6	-8	6	9	6	-5	8	-9	10	-14	6	-15	8

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Quadratic twists for elliptic curve 1210c1

-4	8	-3	5	-7	-11
9680r1	38720bi1	10890bz1	6050bc1	59290bx1	110b1

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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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