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	100800eb	Isogeny class
Conductor	100800	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	514382400000000 = 212 · 38 · 58 · 72	Discriminant
Eigenvalues	2+ 3- 5+ 7+  4  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-23700,-884000]	[a1,a2,a3,a4,a6]
j	31554496/11025	j-invariant
L	3.1664462170339	L(r)(E,1)/r!
Ω	0.39580581370691	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	100800fv2 50400dj1 33600cm2 20160bs2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800eb2

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	6	-2	4	0	-6	8	6	-6	-8	4	2	0	-10	8	0	10	-4	4	10	18

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Quadratic twists for elliptic curve 100800eb2

-4	8	-3	5
100800fv2	50400dj1	33600cm2	20160bs2

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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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