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	8	Number of curves in isogeny class
Curves	4800bp1 4800bp2 4800bp3 4800bp4 4800bp5 4800bp6 4800bp7 4800bp8	Curves in isogeny class
deg	9216	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ -4  0  2 -6 -4	Hecke eigenvalues for primes less than 20
L	0.73263149906476	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4800w 1200p 14400ef 960o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4800bp

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
-	+	+	-4	0	2	-6	-4	0	6	-8	2	-6	4	0	-6	0	10	4	0	-2	-8	-12	18	-2

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Quadratic twists for isogeny class 4800bp

-4	8	-3	5
4800w	1200p	14400ef	960o

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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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