Cremona's table of elliptic curves

1022 = 2 · 7 · 73

Field	Data	Notes
Atkin-Lehner	2- 7+ 73-	Signs for the Atkin-Lehner involutions
Conductor	1022	Conductor
Count	4	Number of curves in isogeny class
Curves	1022b1 1022b2 1022b3 1022b4	Curves in isogeny class
deg	320	Modular degree for the optimal curve
Eigenvalues	2-  0 -2 7+  0 -2  2  0	Hecke eigenvalues for primes less than 20
L	3.0776727915483	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	8176a 32704a 9198d 25550d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1022b

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	-2	+	0	-2	2	0	-8	-6	0	-10	2	-8	8	2	4	2	4	0	-	8	-4	-6	10

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Quadratic twists for isogeny class 1022b

-4	8	-3	5	-7	-11	73
8176a	32704a	9198d	25550d	7154j	123662l	74606e

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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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