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	3150bh	Isogeny class
Conductor	3150	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	-7144200 = -1 · 23 · 36 · 52 · 72	Discriminant
Eigenvalues	2- 3- 5+ 7+ -3 -2  3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,40,-93]	[a1,a2,a3,a4,a6]
Generators	[3:5:1]	Generators of the group modulo torsion
j	397535/392	j-invariant
L	4.7224262031066	L(r)(E,1)/r!
Ω	1.2837942239427	Real period
R	0.61308192479156	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	25200en1 100800dp1 350c1 3150u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150bh1

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
-	-	+	+	-3	-2	3	-7	0	6	-4	-8	9	-8	-6	-12	-12	-10	7	-6	-5	14	-9	15	10

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Quadratic twists for elliptic curve 3150bh1

-4	8	-3	5	-7
25200en1	100800dp1	350c1	3150u1	22050ei1

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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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