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	100800fo	Isogeny class
Conductor	100800	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	57153600000000 = 212 · 36 · 58 · 72	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-11700,324000]	[a1,a2,a3,a4,a6]
Generators	[-60:900:1]	Generators of the group modulo torsion
j	3796416/1225	j-invariant
L	7.3648732103112	L(r)(E,1)/r!
Ω	0.57882046133796	Real period
R	1.5904917216078	Regulator
r	1	Rank of the group of rational points
S	0.99999999916757	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	100800dx2 50400du1 11200o2 20160bg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800fo2

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	6	-4	8	6	0	10	-10	-12	0	6	-12	-2	-4	-12	10	4	0	-18	10

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Quadratic twists for elliptic curve 100800fo2

-4	8	-3	5
100800dx2	50400du1	11200o2	20160bg2

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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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