Cremona's table of elliptic curves

4800 = 2⁶ · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+	Signs for the Atkin-Lehner involutions
Conductor	4800	Conductor
Count	6	Number of curves in isogeny class
Curves	4800bi1 4800bi2 4800bi3 4800bi4 4800bi5 4800bi6	Curves in isogeny class
deg	3072	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+  0 -4  6  6 -4	Hecke eigenvalues for primes less than 20
L	1.5260456248827	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4800r 1200e 14400dq 960l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4800bi

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	6	6	-4	0	2	8	-2	-6	-12	8	6	12	-14	-4	-8	6	8	12	10	-2

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Quadratic twists for isogeny class 4800bi

-4	8	-3	5
4800r	1200e	14400dq	960l

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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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