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	3150bp	Isogeny class
Conductor	3150	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4800	Modular degree for the optimal curve
Δ	-19136250 = -1 · 2 · 37 · 54 · 7	Discriminant
Eigenvalues	2- 3- 5- 7+ -2  1  3  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-39380,3017697]	[a1,a2,a3,a4,a6]
j	-14822892630025/42	j-invariant
L	2.868416307961	L(r)(E,1)/r!
Ω	1.4342081539805	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	25200fn1 100800gl1 1050d1 3150n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150bp1

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	1	3	0	-1	5	7	2	-7	11	8	-1	5	-3	12	-12	6	10	-11	10	2

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Quadratic twists for elliptic curve 3150bp1

-4	8	-3	5	-7
25200fn1	100800gl1	1050d1	3150n2	22050fn1

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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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