Cremona's table of elliptic curves

7200 = 2⁵ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+	Signs for the Atkin-Lehner involutions
Class	7200bo	Isogeny class
Conductor	7200	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	36864	Modular degree for the optimal curve
Δ	332150625000000 = 26 · 312 · 510	Discriminant
Eigenvalues	2- 3- 5+  4 -4 -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-50925,-4335500]	[a1,a2,a3,a4,a6]
Generators	[100945:2742012:125]	Generators of the group modulo torsion
j	20034997696/455625	j-invariant
L	4.4356599215003	L(r)(E,1)/r!
Ω	0.31824977447196	Real period
R	6.968834351666	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7200p1 14400br2 2400l1 1440g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7200bo1

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

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Quadratic twists for elliptic curve 7200bo1

-4	8	-3	5
7200p1	14400br2	2400l1	1440g1

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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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