Cremona's table of elliptic curves

9702 = 2 · 3² · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	9702bh	Isogeny class
Conductor	9702	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	362880	Modular degree for the optimal curve
Δ	-5197472267936256 = -1 · 29 · 33 · 710 · 113	Discriminant
Eigenvalues	2- 3+ -3 7- 11+ -2  3 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-16167584,-25017599421]	[a1,a2,a3,a4,a6]
Generators	[6383:359871:1]	Generators of the group modulo torsion
j	-61279455929796531/681472	j-invariant
L	5.3572818102545	L(r)(E,1)/r!
Ω	0.037645084759805	Real period
R	7.9061255708514	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	77616ea1 9702l2 9702bc1 106722be1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9702bh1

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	3	-2	3	0	-2	8	9	-4	-3	6	-6	-5	11	0	-2	-13	-9	-12	-5

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Quadratic twists for elliptic curve 9702bh1

-4	-3	-7	-11
77616ea1	9702l2	9702bc1	106722be1

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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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