Cremona's table of elliptic curves

1014 = 2 · 3 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 13+	Signs for the Atkin-Lehner involutions
Class	1014b	Isogeny class
Conductor	1014	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-123171214536474624 = -1 · 224 · 32 · 138	Discriminant
Eigenvalues	2+ 3-  3  2  6 13+ -3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,88383,-13514252]	[a1,a2,a3,a4,a6]
j	93603087383/150994944	j-invariant
L	2.0918757339855	L(r)(E,1)/r!
Ω	0.17432297783212	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	8112u2 32448k2 3042m2 25350ca2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1014b2

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
+	-	3	2	6	+	-3	2	-6	3	-4	-7	-3	-10	6	3	0	-7	-10	6	-13	-4	-6	18	14

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Quadratic twists for elliptic curve 1014b2

-4	8	-3	5	-7	-11	13
8112u2	32448k2	3042m2	25350ca2	49686q2	122694de2	1014f2

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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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