Cremona's table of elliptic curves

11100 = 2² · 3 · 5² · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 37-	Signs for the Atkin-Lehner involutions
Class	11100c	Isogeny class
Conductor	11100	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	749250000 = 24 · 34 · 56 · 37	Discriminant
Eigenvalues	2- 3+ 5+  4 -4  6 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-233,462]	[a1,a2,a3,a4,a6]
Generators	[-14:28:1]	Generators of the group modulo torsion
j	5619712/2997	j-invariant
L	4.3589964188164	L(r)(E,1)/r!
Ω	1.4004216184997	Real period
R	3.1126314827147	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	44400cw1 33300r1 444b1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 11100c1

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

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Quadratic twists for elliptic curve 11100c1

-4	-3	5
44400cw1	33300r1	444b1

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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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