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	6	Number of curves in isogeny class
Curves	8085p1 8085p2 8085p3 8085p4 8085p5 8085p6	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+ 7- 11-  2  6  4	Hecke eigenvalues for primes less than 20
L	1.7889190259759	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	129360du 24255bm 40425w 1155e	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 8085p

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	8	6	-8	6	6	-4	8	-10	12	10	-12	-8	6	8	4	-10	14

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Quadratic twists for isogeny class 8085p

-4	-3	5	-7	-11
129360du	24255bm	40425w	1155e	88935bq

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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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