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	3150bi	Isogeny class
Conductor	3150	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	98456006250000 = 24 · 38 · 58 · 74	Discriminant
Eigenvalues	2- 3- 5+ 7+ -4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-15755,596747]	[a1,a2,a3,a4,a6]
Generators	[-51:1150:1]	Generators of the group modulo torsion
j	37966934881/8643600	j-invariant
L	4.745877485395	L(r)(E,1)/r!
Ω	0.56429069632286	Real period
R	1.0512926928268	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	25200er2 100800dy2 1050g2 630d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150bi2

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	2	2	-4	-8	-6	-8	2	-2	12	-8	6	-4	-2	-12	-8	14	0	12	-2	-10

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Quadratic twists for elliptic curve 3150bi2

-4	8	-3	5	-7
25200er2	100800dy2	1050g2	630d2	22050er2

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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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