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	4	Number of curves in isogeny class
Curves	1785h1 1785h2 1785h3 1785h4	Curves in isogeny class
deg	384	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5- 7-  4  2 17-  8	Hecke eigenvalues for primes less than 20
L	1.1159165066107	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	28560dw 114240ea 5355g 8925q	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1785h

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

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Quadratic twists for isogeny class 1785h

-4	8	-3	5	-7	17
28560dw	114240ea	5355g	8925q	12495k	30345v

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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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