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	1785i1 1785i2 1785i3 1785i4	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	1 3- 5+ 7+  0  6 17+  4	Hecke eigenvalues for primes less than 20
L	2.3459740913709	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	28560cn 114240bo 5355m 8925i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1785i

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

---

Quadratic twists for isogeny class 1785i

-4	8	-3	5	-7	17
28560cn	114240bo	5355m	8925i	12495g	30345p

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations