Cremona's table of elliptic curves

28224 = 2⁶ · 3² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Conductor	28224	Conductor
Count	6	Number of curves in isogeny class
Curves	28224ft1 28224ft2 28224ft3 28224ft4 28224ft5 28224ft6	Curves in isogeny class
deg	294912	Modular degree for the optimal curve
Eigenvalues	2- 3-  2 7-  4  6  2  4	Hecke eigenvalues for primes less than 20
L	4.3800181496002	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	28224cb 7056by 9408db 4032bl	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 28224ft

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
-	-	2	-	4	6	2	4	8	-2	0	10	-6	-4	0	6	4	6	4	8	-10	0	-4	-6	14

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Quadratic twists for isogeny class 28224ft

-4	8	-3	-7
28224cb	7056by	9408db	4032bl

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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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