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	6	Number of curves in isogeny class
Curves	14400x1 14400x2 14400x3 14400x4 14400x5 14400x6	Curves in isogeny class
deg	8192	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  0  4 -2  2  4	Hecke eigenvalues for primes less than 20
L	2.4621959884085	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	14400ds 1800s 4800c 576d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 14400x

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	4	-2	2	4	-8	6	8	6	6	4	0	2	4	2	-4	-8	-10	-8	4	6	-2

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Quadratic twists for isogeny class 14400x

-4	8	-3	5
14400ds	1800s	4800c	576d

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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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