Cremona's table of elliptic curves

85 = 5 · 17

Field	Data	Notes
Atkin-Lehner	5+ 17-	Signs for the Atkin-Lehner involutions
Conductor	85	Conductor
Count	2	Number of curves in isogeny class
Curves	85a1 85a2	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	1  2 5+ -2  2  2 17-  0	Hecke eigenvalues for primes less than 20
L	1.3976922182719	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1360g 5440o 765c 425d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 85a

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	+	-2	2	2	-	0	6	-6	-10	2	10	4	12	-10	8	-14	8	-2	-14	-14	4	6	2

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Quadratic twists for isogeny class 85a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
1360g	5440o	765c	425d	4165j	10285e	14365b	1445d	30685a	44965f	71485b	81685b	116365e

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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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