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	1710o1 1710o2 1710o3 1710o4	Curves in isogeny class
deg	1152	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+  2  0  2  0 19-	Hecke eigenvalues for primes less than 20
L	2.8714999056885	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	13680bc 54720bs 570f 8550l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1710o

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

---

Quadratic twists for isogeny class 1710o

-4	8	-3	5	-7	-19
13680bc	54720bs	570f	8550l	83790ez	32490j

---

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