Cremona's table of elliptic curves

1683 = 3² · 11 · 17

Field	Data	Notes
Atkin-Lehner	3+ 11- 17-	Signs for the Atkin-Lehner involutions
Conductor	1683	Conductor
Count	2	Number of curves in isogeny class
Curves	1683d1 1683d2	Curves in isogeny class
deg	864	Modular degree for the optimal curve
Eigenvalues	-1 3+ -2 -2 11- -2 17-  8	Hecke eigenvalues for primes less than 20
L	1.5837387746094	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	26928y 107712g 1683a 42075h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1683d

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	-	8	4	6	-8	-2	6	-8	6	0	-6	-4	4	-4	0	-6	-16	4	2

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Quadratic twists for isogeny class 1683d

-4	8	-3	5	-7	-11	17
26928y	107712g	1683a	42075h	82467d	18513a	28611c

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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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