Cremona's table of elliptic curves

7154 = 2 · 7² · 73

Field	Data	Notes
Atkin-Lehner	2+ 7+ 73+	Signs for the Atkin-Lehner involutions
Class	7154a	Isogeny class
Conductor	7154	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	9408	Modular degree for the optimal curve
Δ	-107732601088 = -1 · 28 · 78 · 73	Discriminant
Eigenvalues	2+ -2 -2 7+ -3  0  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-222,15824]	[a1,a2,a3,a4,a6]
Generators	[53:365:1]	Generators of the group modulo torsion
j	-208537/18688	j-invariant
L	1.4155471858817	L(r)(E,1)/r!
Ω	0.87003585067581	Real period
R	0.27116644767801	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	57232a1 64386bf1 7154i1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 7154a1

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	-2	+	-3	0	2	-6	-8	6	7	3	9	-12	8	12	-3	6	-10	-12	+	-8	4	-9	7

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Quadratic twists for elliptic curve 7154a1

-4	-3	-7
57232a1	64386bf1	7154i1

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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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