Cremona's table of elliptic curves

3570 = 2 · 3 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7- 17+	Signs for the Atkin-Lehner involutions
Conductor	3570	Conductor
Count	4	Number of curves in isogeny class
Curves	3570j1 3570j2 3570j3 3570j4	Curves in isogeny class
deg	2304	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7- -6  2 17+  8	Hecke eigenvalues for primes less than 20
L	2.9320153026356	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	28560ch 114240ch 10710bn 17850bi	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3570j

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

---

Quadratic twists for isogeny class 3570j

-4	8	-3	5	-7	17
28560ch	114240ch	10710bn	17850bi	24990q	60690p

---

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