Cremona's table of elliptic curves

100800 = 2⁶ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	100800jv	Isogeny class
Conductor	100800	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	221184	Modular degree for the optimal curve
Δ	964467000000 = 26 · 39 · 56 · 72	Discriminant
Eigenvalues	2- 3+ 5+ 7-  4  2 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-43875,3537000]	[a1,a2,a3,a4,a6]
Generators	[1298:6643:8]	Generators of the group modulo torsion
j	474552000/49	j-invariant
L	8.3545905026597	L(r)(E,1)/r!
Ω	0.84453128874339	Real period
R	4.9462883277975	Regulator
r	1	Rank of the group of rational points
S	0.99999999888892	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	100800jg1 50400cn2 100800jx1 4032r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800jv1

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	2	-4	0	4	4	8	-2	-4	-8	8	4	8	2	-8	-12	-6	8	-16	-12	2

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Quadratic twists for elliptic curve 100800jv1

-4	8	-3	5
100800jg1	50400cn2	100800jx1	4032r1

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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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