Cremona's table of elliptic curves

14400 = 2⁶ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+	Signs for the Atkin-Lehner involutions
Conductor	14400	Conductor
Count	8	Number of curves in isogeny class
Curves	14400ef1 14400ef2 14400ef3 14400ef4 14400ef5 14400ef6 14400ef7 14400ef8	Curves in isogeny class
deg	73728	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ -4  0  2  6 -4	Hecke eigenvalues for primes less than 20
L	4.1462178431642	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	14400bo 3600bk 4800bp 2880bb	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 14400ef

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

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Quadratic twists for isogeny class 14400ef

-4	8	-3	5
14400bo	3600bk	4800bp	2880bb

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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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