Cremona's table of elliptic curves

1700 = 2² · 5² · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 17+	Signs for the Atkin-Lehner involutions
Conductor	1700	Conductor
Count	2	Number of curves in isogeny class
Curves	1700c1 1700c2	Curves in isogeny class
deg	360	Modular degree for the optimal curve
Eigenvalues	2-  1 5- -1  0 -1 17+ -4	Hecke eigenvalues for primes less than 20
L	3.1820663644471	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6800v 27200bf 15300bg 1700b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1700c

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	-	-1	0	-1	+	-4	0	-6	-1	2	0	2	-6	3	-6	-10	-4	-3	2	-1	12	-6	8

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Quadratic twists for isogeny class 1700c

-4	8	-3	5	-7	17
6800v	27200bf	15300bg	1700b	83300bk	28900i

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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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