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	14400dp1 14400dp2 14400dp3 14400dp4 14400dp5 14400dp6 14400dp7 14400dp8	Curves in isogeny class
deg	24576	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+  0  4 -2  2  4	Hecke eigenvalues for primes less than 20
L	5.1520216213782	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	14400y 3600bf 4800cd 2880bd	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 14400dp

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

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Quadratic twists for isogeny class 14400dp

-4	8	-3	5
14400y	3600bf	4800cd	2880bd

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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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