Cremona's table of elliptic curves

600 = 2³ · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+	Signs for the Atkin-Lehner involutions
Class	600g	Isogeny class
Conductor	600	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1680	Modular degree for the optimal curve
Δ	-5467500000000 = -1 · 28 · 37 · 510	Discriminant
Eigenvalues	2- 3+ 5+  5 -6  3  2  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5833,207037]	[a1,a2,a3,a4,a6]
j	-8780800/2187	j-invariant
L	1.4519179844453	L(r)(E,1)/r!
Ω	0.72595899222267	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1200h1 4800ba1 1800i1 600e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 600g1

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
-	+	+	5	-6	3	2	1	2	6	3	6	4	-11	10	8	-6	3	1	-12	-10	-8	6	-16	7

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Quadratic twists for elliptic curve 600g1

-4	8	-3	5	-7	-11	13
1200h1	4800ba1	1800i1	600e1	29400eg1	72600q1	101400m1

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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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