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	3150i	Isogeny class
Conductor	3150	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	32413500000000 = 28 · 33 · 59 · 74	Discriminant
Eigenvalues	2+ 3+ 5- 7-  0  4  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-511617,140980541]	[a1,a2,a3,a4,a6]
Generators	[194:6903:1]	Generators of the group modulo torsion
j	280844088456303/614656	j-invariant
L	2.6672767753464	L(r)(E,1)/r!
Ω	0.56651138239327	Real period
R	0.58853115273657	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	25200dc2 100800ci2 3150bd2 3150z2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150i2

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	4	2	-8	-8	-8	4	-8	-12	8	4	6	-8	-6	8	0	-4	8	0	4	-12

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Quadratic twists for elliptic curve 3150i2

-4	8	-3	5	-7
25200dc2	100800ci2	3150bd2	3150z2	22050o2

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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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