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	12100d	Isogeny class
Conductor	12100	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-2420000000 = -1 · 28 · 57 · 112	Discriminant
Eigenvalues	2- -1 5+ -1 11-  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,92,2312]	[a1,a2,a3,a4,a6]
Generators	[2:50:1]	Generators of the group modulo torsion
j	176/5	j-invariant
L	3.4653985910175	L(r)(E,1)/r!
Ω	1.091417340567	Real period
R	0.52918934890315	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	48400bs1 108900bt1 2420c1 12100c1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 12100d1

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	0	-2	0	6	-4	4	-9	-1	3	6	0	1	13	-12	-16	10	12	-3	10

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Quadratic twists for elliptic curve 12100d1

-4	-3	5	-11
48400bs1	108900bt1	2420c1	12100c1

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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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