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	9702cc	Isogeny class
Conductor	9702	Conductor
∏ cp	416	Product of Tamagawa factors cp
deg	1597440	Modular degree for the optimal curve
Δ	-9.4810458089463E+23	Discriminant
Eigenvalues	2- 3-  0 7- 11- -6  4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-738905,46848304185]	[a1,a2,a3,a4,a6]
Generators	[-2665:174204:1]	Generators of the group modulo torsion
j	-520203426765625/11054534935707648	j-invariant
L	6.5216520581919	L(r)(E,1)/r!
Ω	0.070469574479816	Real period
R	0.88986194865121	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	77616fd1 3234c1 1386j1 106722cw1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9702cc1

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	-	-	-6	4	-6	4	-6	2	10	-4	8	-6	10	0	2	-4	-16	-12	-16	-2	-6	6

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Quadratic twists for elliptic curve 9702cc1

-4	-3	-7	-11
77616fd1	3234c1	1386j1	106722cw1

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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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