Cremona's table of elliptic curves

8085 = 3 · 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	3- 5- 7- 11+	Signs for the Atkin-Lehner involutions
Conductor	8085	Conductor
Count	4	Number of curves in isogeny class
Curves	8085w1 8085w2 8085w3 8085w4	Curves in isogeny class
deg	4608	Modular degree for the optimal curve
Eigenvalues	-1 3- 5- 7- 11+  2 -6 -4	Hecke eigenvalues for primes less than 20
L	1.3248420925197	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	129360fk 24255bh 40425j 1155a	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 8085w

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	-	-	-	+	2	-6	-4	0	-6	0	6	10	4	-8	-6	8	-2	-8	-8	14	4	16	10	2

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Quadratic twists for isogeny class 8085w

-4	-3	5	-7	-11
129360fk	24255bh	40425j	1155a	88935cg

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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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