Cremona's table of elliptic curves

8946 = 2 · 3² · 7 · 71

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 71-	Signs for the Atkin-Lehner involutions
Conductor	8946	Conductor
Count	4	Number of curves in isogeny class
Curves	8946i1 8946i2 8946i3 8946i4	Curves in isogeny class
deg	20736	Modular degree for the optimal curve
Eigenvalues	2+ 3-  0 7-  6  2  6  2	Hecke eigenvalues for primes less than 20
L	2.2036605818993	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	71568bg 994g 62622v	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for isogeny class 8946i

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

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Quadratic twists for isogeny class 8946i

-4	-3	-7
71568bg	994g	62622v

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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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