Cremona's table of elliptic curves

3150 = 2 · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	3150bl	Isogeny class
Conductor	3150	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-48052247526281250 = -1 · 2 · 322 · 56 · 72	Discriminant
Eigenvalues	2- 3- 5+ 7-  4 -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,86845,-3789403]	[a1,a2,a3,a4,a6]
j	6359387729183/4218578658	j-invariant
L	3.2574098677911	L(r)(E,1)/r!
Ω	0.20358811673694	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	25200eb5 100800fu5 1050h6 126b6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150bl6

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

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Quadratic twists for elliptic curve 3150bl6

-4	8	-3	5	-7
25200eb5	100800fu5	1050h6	126b6	22050eq5

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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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