Cremona's table of elliptic curves

1922 = 2 · 31²

Field	Data	Notes
Atkin-Lehner	2+ 31-	Signs for the Atkin-Lehner involutions
Conductor	1922	Conductor
Count	2	Number of curves in isogeny class
Curves	1922b1 1922b2	Curves in isogeny class
deg	120	Modular degree for the optimal curve
Eigenvalues	2+ -1 -3 -1 -3 -5 -3 -7	Hecke eigenvalues for primes less than 20
L	2.03705265371	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	15376v 61504p 17298u 48050u	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1922b

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
+	-1	-3	-1	-3	-5	-3	-7	0	-6	-	7	3	-5	-12	-9	-3	10	-13	-3	13	1	9	-6	2

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Quadratic twists for isogeny class 1922b

-4	8	-3	5	-7	-31
15376v	61504p	17298u	48050u	94178f	1922a

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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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