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	9702br	Isogeny class
Conductor	9702	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	84672	Modular degree for the optimal curve
Δ	23668704880128 = 29 · 36 · 78 · 11	Discriminant
Eigenvalues	2- 3-  4 7+ 11- -1 -2  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-275708,55789759]	[a1,a2,a3,a4,a6]
j	551516475321/5632	j-invariant
L	5.4911236370755	L(r)(E,1)/r!
Ω	0.61012484856395	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	77616en1 1078b1 9702cf1 106722by1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9702br1

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
-	-	4	+	-	-1	-2	6	2	-1	4	-2	2	4	-2	12	-9	-5	-9	-4	-2	-15	6	-6	-5

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Quadratic twists for elliptic curve 9702br1

-4	-3	-7	-11
77616en1	1078b1	9702cf1	106722by1

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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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