Cremona's table of elliptic curves

1710 = 2 · 3² · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 19+	Signs for the Atkin-Lehner involutions
Conductor	1710	Conductor
Count	4	Number of curves in isogeny class
Curves	1710h1 1710h2 1710h3 1710h4	Curves in isogeny class
deg	512	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5-  0 -4  2 -2 19+	Hecke eigenvalues for primes less than 20
L	2.2663038697833	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	13680br 54720bc 570g 8550x	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1710h

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

---

Quadratic twists for isogeny class 1710h

-4	8	-3	5	-7	-19
13680br	54720bc	570g	8550x	83790bo	32490bv

---

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