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	14400ds1 14400ds2 14400ds3 14400ds4 14400ds5 14400ds6	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	4.4753273577051	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	14400x 3600k 4800cb 576i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 14400ds

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 14400ds

-4	8	-3	5
14400x	3600k	4800cb	576i

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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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