Cremona's table of elliptic curves

80586 = 2 · 3² · 11² · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 37+	Signs for the Atkin-Lehner involutions
Conductor	80586	Conductor
Count	2	Number of curves in isogeny class
Curves	80586g1 80586g2	Curves in isogeny class
deg	2230272	Modular degree for the optimal curve
Eigenvalues	2+ 3-  4  2 11+  2  2  8	Hecke eigenvalues for primes less than 20
L	4.4548166787143	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	26862t 80586ba	Quadratic twists by: -3 -11

Hecke Eigenvalues for isogeny class 80586g

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
+	-	4	2	+	2	2	8	6	6	-4	+	-6	-4	4	14	-6	2	4	16	12	-8	12	0	-14

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Quadratic twists for isogeny class 80586g

-3	-11
26862t	80586ba

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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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