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
deg	3072	Modular degree for the optimal curve
Δ	24004512000 = 28 · 37 · 53 · 73	Discriminant
Eigenvalues	2- 3- 5- 7- -2 -6  4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-725,-723]	[a1,a2,a3,a4,a6]
Generators	[119:-1320:1]	Generators of the group modulo torsion
j	461889917/263424	j-invariant
L	4.8812686440667	L(r)(E,1)/r!
Ω	0.99562022493029	Real period
R	0.10214044894328	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	25200ex1 100800hr1 1050e1 3150q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150bq1

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 3150bq1

-4	8	-3	5	-7
25200ex1	100800hr1	1050e1	3150q1	22050fo1

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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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