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	3150bq	Isogeny class
Conductor	3150	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-1543790178000 = -1 · 24 · 38 · 53 · 76	Discriminant
Eigenvalues	2- 3- 5- 7- -2 -6  4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,2875,-7923]	[a1,a2,a3,a4,a6]
Generators	[113:-1380:1]	Generators of the group modulo torsion
j	28849701763/16941456	j-invariant
L	4.8812686440667	L(r)(E,1)/r!
Ω	0.49781011246515	Real period
R	0.20428089788656	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	25200ex2 100800hr2 1050e2 3150q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150bq2

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 3150bq2

-4	8	-3	5	-7
25200ex2	100800hr2	1050e2	3150q2	22050fo2

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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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