Cremona's table of elliptic curves

1785 = 3 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	3- 5- 7+ 17-	Signs for the Atkin-Lehner involutions
Conductor	1785	Conductor
Count	6	Number of curves in isogeny class
Curves	1785m1 1785m2 1785m3 1785m4 1785m5 1785m6	Curves in isogeny class
deg	512	Modular degree for the optimal curve
Eigenvalues	-1 3- 5- 7+  4  6 17- -4	Hecke eigenvalues for primes less than 20
L	1.5478483669737	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	28560dc 114240q 5355d 8925h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1785m

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	-	-	+	4	6	-	-4	0	6	-8	-2	-6	4	0	-10	12	-2	12	16	10	16	4	-14	-14

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Quadratic twists for isogeny class 1785m

-4	8	-3	5	-7	17
28560dc	114240q	5355d	8925h	12495a	30345g

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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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