Cremona's table of elliptic curves

2070 = 2 · 3² · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 23+	Signs for the Atkin-Lehner involutions
Conductor	2070	Conductor
Count	2	Number of curves in isogeny class
Curves	2070k1 2070k2	Curves in isogeny class
deg	576	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ -4  0  0  4  8	Hecke eigenvalues for primes less than 20
L	2.2186571914126	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	16560bb 66240r 2070d 10350d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2070k

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
-	+	+	-4	0	0	4	8	+	-2	4	-2	8	-4	8	6	10	-8	12	16	-2	-6	-2	6	-10

---

Quadratic twists for isogeny class 2070k

-4	8	-3	5	-7	-23
16560bb	66240r	2070d	10350d	101430dd	47610bo

---

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