Cremona's table of elliptic curves

9570 = 2 · 3 · 5 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11- 29-	Signs for the Atkin-Lehner involutions
Conductor	9570	Conductor
Count	4	Number of curves in isogeny class
Curves	9570r1 9570r2 9570r3 9570r4	Curves in isogeny class
deg	23040	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+  0 11- -2  2  0	Hecke eigenvalues for primes less than 20
L	2.4365950884725	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	76560bw 28710n 47850bl 105270e	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for isogeny class 9570r

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

---

Quadratic twists for isogeny class 9570r

-4	-3	5	-11
76560bw	28710n	47850bl	105270e

---

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