Cremona's table of elliptic curves

4800 = 2⁶ · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5-	Signs for the Atkin-Lehner involutions
Class	4800bg	Isogeny class
Conductor	4800	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-165888000 = -1 · 214 · 34 · 53	Discriminant
Eigenvalues	2+ 3- 5- -4  4  0 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,47,623]	[a1,a2,a3,a4,a6]
Generators	[-1:24:1]	Generators of the group modulo torsion
j	5488/81	j-invariant
L	4.1511479826966	L(r)(E,1)/r!
Ω	1.3459625413508	Real period
R	0.38551852811321	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4800by2 300d2 14400co2 4800o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4800bg2

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

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Quadratic twists for elliptic curve 4800bg2

-4	8	-3	5
4800by2	300d2	14400co2	4800o2

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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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