Cremona's table of elliptic curves

11200 = 2⁶ · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+	Signs for the Atkin-Lehner involutions
Class	11200i	Isogeny class
Conductor	11200	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5120	Modular degree for the optimal curve
Δ	-7168000000 = -1 · 216 · 56 · 7	Discriminant
Eigenvalues	2+  2 5+ 7+  0  0  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-33,-4063]	[a1,a2,a3,a4,a6]
Generators	[2811:28448:27]	Generators of the group modulo torsion
j	-4/7	j-invariant
L	6.2376926836825	L(r)(E,1)/r!
Ω	0.59957993414366	Real period
R	5.2017190106532	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	11200cq1 1400h1 100800cu1 448h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11200i1

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

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Quadratic twists for elliptic curve 11200i1

-4	8	-3	5	-7
11200cq1	1400h1	100800cu1	448h1	78400cq1

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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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