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	9702o	Isogeny class
Conductor	9702	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	861411419406846 = 2 · 36 · 79 · 114	Discriminant
Eigenvalues	2+ 3-  2 7- 11+  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-25146,607662]	[a1,a2,a3,a4,a6]
Generators	[1166:627:8]	Generators of the group modulo torsion
j	59776471/29282	j-invariant
L	3.7856891308611	L(r)(E,1)/r!
Ω	0.44409617562825	Real period
R	4.2622401842411	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	77616gg2 1078m2 9702r2 106722gu2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9702o2

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	0	-2	0	-6	4	2	-8	12	-12	2	-10	-10	-12	-4	12	0	18	0	-12

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Quadratic twists for elliptic curve 9702o2

-4	-3	-7	-11
77616gg2	1078m2	9702r2	106722gu2

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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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