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	7200r	Isogeny class
Conductor	7200	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	7680	Modular degree for the optimal curve
Δ	-3499200000000 = -1 · 212 · 37 · 58	Discriminant
Eigenvalues	2+ 3- 5-  1  0  1  0  3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3000,-110000]	[a1,a2,a3,a4,a6]
Generators	[200:2700:1]	Generators of the group modulo torsion
j	-2560/3	j-invariant
L	4.3621035642795	L(r)(E,1)/r!
Ω	0.3086120533268	Real period
R	1.1778821547572	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	7200s1 14400el1 2400be1 7200bj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7200r1

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
+	-	-	1	0	1	0	3	-4	-4	-7	-6	-6	9	-6	-2	-10	-1	-3	14	10	8	-18	0	-3

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Quadratic twists for elliptic curve 7200r1

-4	8	-3	5
7200s1	14400el1	2400be1	7200bj1

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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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