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	3150v	Isogeny class
Conductor	3150	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-463050 = -1 · 2 · 33 · 52 · 73	Discriminant
Eigenvalues	2- 3+ 5+ 7+  0  1  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,10,-33]	[a1,a2,a3,a4,a6]
j	179685/686	j-invariant
L	3.0066808947849	L(r)(E,1)/r!
Ω	1.5033404473924	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	25200cu1 100800a1 3150a2 3150h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150v1

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	1	3	2	3	-3	-1	-2	3	7	6	9	-3	-1	-8	0	4	8	15	-6	-8

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Quadratic twists for elliptic curve 3150v1

-4	8	-3	5	-7
25200cu1	100800a1	3150a2	3150h1	22050cz1

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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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