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	600a	Isogeny class
Conductor	600	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	8100000000 = 28 · 34 · 58	Discriminant
Eigenvalues	2+ 3+ 5+  0 -4 -6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-508,1012]	[a1,a2,a3,a4,a6]
Generators	[-14:72:1]	Generators of the group modulo torsion
j	3631696/2025	j-invariant
L	1.8182269342928	L(r)(E,1)/r!
Ω	1.1354702010292	Real period
R	1.6012986801809	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1200e2 4800r2 1800r2 120a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 600a2

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 elliptic curve 600a2

-4	8	-3	5	-7	-11	13
1200e2	4800r2	1800r2	120a2	29400bt2	72600cl2	101400cb2

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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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