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	3150b	Isogeny class
Conductor	3150	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2583984375000 = -1 · 23 · 33 · 512 · 72	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  0 -2  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,1833,70741]	[a1,a2,a3,a4,a6]
Generators	[-1:263:1]	Generators of the group modulo torsion
j	1613964717/6125000	j-invariant
L	2.4659950987965	L(r)(E,1)/r!
Ω	0.57741981468964	Real period
R	1.0676785919279	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	25200cx2 100800c2 3150w4 630h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150b2

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
+	+	+	+	0	-2	0	2	0	-6	8	4	-6	-2	-6	6	-12	8	-2	-6	-2	-16	0	-6	10

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Quadratic twists for elliptic curve 3150b2

-4	8	-3	5	-7
25200cx2	100800c2	3150w4	630h2	22050d2

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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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