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	4	Number of curves in isogeny class
Curves	25200ei1 25200ei2 25200ei3 25200ei4	Curves in isogeny class
deg	49152	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7-  0  6  2  8	Hecke eigenvalues for primes less than 20
L	3.0278743436471	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1575f 100800nb 8400cg 5040bd	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 25200ei

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

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Quadratic twists for isogeny class 25200ei

-4	8	-3	5
1575f	100800nb	8400cg	5040bd

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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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