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	100800k	Isogeny class
Conductor	100800	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	5788125000000000000 = 212 · 33 · 516 · 73	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  4  0  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-449700,8636000]	[a1,a2,a3,a4,a6]
Generators	[879560:265200:1331]	Generators of the group modulo torsion
j	5820343774272/3349609375	j-invariant
L	7.1818079653421	L(r)(E,1)/r!
Ω	0.20457713223306	Real period
R	8.7764061038804	Regulator
r	1	Rank of the group of rational points
S	0.99999999960508	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	100800bf2 50400ci1 100800m2 20160l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800k2

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	0	2	2	-6	4	2	-10	10	-4	-4	-2	-12	10	12	0	-4	-16	-4	-6	8

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Quadratic twists for elliptic curve 100800k2

-4	8	-3	5
100800bf2	50400ci1	100800m2	20160l2

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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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