Cremona's table of elliptic curves

25200 = 2⁴ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Conductor	25200	Conductor
Count	6	Number of curves in isogeny class
Curves	25200dx1 25200dx2 25200dx3 25200dx4 25200dx5 25200dx6	Curves in isogeny class
deg	32768	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7+  4  2 -6 -4	Hecke eigenvalues for primes less than 20
L	5.3226195213988	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1575g 100800me 8400cd 1008k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 25200dx

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	0	2	0	-6	-2	-4	0	6	12	-2	4	0	6	16	12	14	-18

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Quadratic twists for isogeny class 25200dx

-4	8	-3	5
1575g	100800me	8400cd	1008k

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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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