Cremona's table of elliptic curves

12100 = 2² · 5² · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	12100g	Isogeny class
Conductor	12100	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	3923035470901250000 = 24 · 57 · 1112	Discriminant
Eigenvalues	2-  2 5+ -4 11- -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1347133,594672762]	[a1,a2,a3,a4,a6]
Generators	[4506:30225:8]	Generators of the group modulo torsion
j	610462990336/8857805	j-invariant
L	5.642531348403	L(r)(E,1)/r!
Ω	0.24844778951161	Real period
R	5.6777838107304	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	48400cp3 108900ct3 2420g3 1100b3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 12100g3

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	+	-4	-	-4	0	4	6	6	8	-2	-6	8	-6	6	-12	-2	10	-12	-16	-8	0	6	-14

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Quadratic twists for elliptic curve 12100g3

-4	-3	5	-11
48400cp3	108900ct3	2420g3	1100b3

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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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