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	3150r	Isogeny class
Conductor	3150	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3696	Modular degree for the optimal curve
Δ	-45722880000 = -1 · 211 · 36 · 54 · 72	Discriminant
Eigenvalues	2+ 3- 5- 7+  5 -6  1 -3	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1617,-26659]	[a1,a2,a3,a4,a6]
Generators	[53:159:1]	Generators of the group modulo torsion
j	-1026590625/100352	j-invariant
L	2.5176213301278	L(r)(E,1)/r!
Ω	0.37434898130717	Real period
R	3.3626661963079	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	25200fv1 100800hf1 350f1 3150bn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150r1

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
+	-	-	+	5	-6	1	-3	0	6	-4	8	-11	-8	-2	-4	-4	-2	9	10	-7	-2	-11	11	-10

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Quadratic twists for elliptic curve 3150r1

-4	8	-3	5	-7
25200fv1	100800hf1	350f1	3150bn1	22050cv1

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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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