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	8	Number of curves in isogeny class
Curves	25200dz1 25200dz2 25200dz3 25200dz4 25200dz5 25200dz6 25200dz7 25200dz8	Curves in isogeny class
deg	589824	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7+ -4  2  2 -4	Hecke eigenvalues for primes less than 20
L	4.9252766048439	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3150bk 100800lv 8400cc 5040bi	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 25200dz

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	2	-4	8	2	0	-6	6	-4	0	-10	12	14	-12	-8	-10	-16	12	-10	-2

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Quadratic twists for isogeny class 25200dz

-4	8	-3	5
3150bk	100800lv	8400cc	5040bi

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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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