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	3150q	Isogeny class
Conductor	3150	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-24121721531250000 = -1 · 24 · 38 · 59 · 76	Discriminant
Eigenvalues	2+ 3- 5- 7+ -2  6 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,71883,-918459]	[a1,a2,a3,a4,a6]
Generators	[270:6039:1]	Generators of the group modulo torsion
j	28849701763/16941456	j-invariant
L	2.491250035705	L(r)(E,1)/r!
Ω	0.22262745027178	Real period
R	1.3987774377462	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	25200fo2 100800gs2 1050r2 3150bq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150q2

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
+	-	-	+	-2	6	-4	-6	8	-6	-2	4	-2	4	-8	-6	8	-10	8	6	-14	-12	8	10	-10

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Quadratic twists for elliptic curve 3150q2

-4	8	-3	5	-7
25200fo2	100800gs2	1050r2	3150bq2	22050co2

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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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