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	3150be	Isogeny class
Conductor	3150	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	68890500 = 22 · 39 · 53 · 7	Discriminant
Eigenvalues	2- 3+ 5- 7-  6 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-110,217]	[a1,a2,a3,a4,a6]
j	59319/28	j-invariant
L	3.4840120677526	L(r)(E,1)/r!
Ω	1.7420060338763	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	25200dh1 100800ct1 3150j1 3150g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150be1

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
-	+	-	-	6	-2	-2	4	-4	2	-2	10	6	2	2	6	-4	-12	-10	12	2	-16	-12	14	-18

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Quadratic twists for elliptic curve 3150be1

-4	8	-3	5	-7
25200dh1	100800ct1	3150j1	3150g1	22050do1

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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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