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	1785o1 1785o2 1785o3 1785o4 1785o5 1785o6	Curves in isogeny class
deg	1024	Modular degree for the optimal curve
Eigenvalues	-1 3- 5- 7- -4 -2 17- -4	Hecke eigenvalues for primes less than 20
L	2.3616383858566	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	28560cv 114240bh 5355f 8925b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1785o

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

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Quadratic twists for isogeny class 1785o

-4	8	-3	5	-7	17
28560cv	114240bh	5355f	8925b	12495b	30345c

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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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