Cremona's table of elliptic curves

986 = 2 · 17 · 29

Field	Data	Notes
Atkin-Lehner	2+ 17- 29-	Signs for the Atkin-Lehner involutions
Conductor	986	Conductor
Count	2	Number of curves in isogeny class
Curves	986c1 986c2	Curves in isogeny class
deg	432	Modular degree for the optimal curve
Eigenvalues	2+  2 -2 -2 -2  2 17- -4	Hecke eigenvalues for primes less than 20
L	2.1668844307302	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	7888i 31552h 8874i 24650bf	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 986c

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

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Quadratic twists for isogeny class 986c

-4	8	-3	5	-7	-11	17	29
7888i	31552h	8874i	24650bf	48314j	119306q	16762b	28594k

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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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