Cremona's table of elliptic curves

4092 = 2² · 3 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 31+	Signs for the Atkin-Lehner involutions
Conductor	4092	Conductor
Count	2	Number of curves in isogeny class
Curves	4092a1 4092a2	Curves in isogeny class
deg	36480	Modular degree for the optimal curve
Eigenvalues	2- 3+  2  2 11+ -2 -4 -2	Hecke eigenvalues for primes less than 20
L	1.9250760936004	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	16368y 65472bb 12276c 102300r	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4092a

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	+	-2	-4	-2	8	0	+	10	8	2	0	-2	4	10	4	0	14	10	0	2	-2

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Quadratic twists for isogeny class 4092a

-4	8	-3	5	-11	-31
16368y	65472bb	12276c	102300r	45012a	126852l

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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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