Cremona's table of elliptic curves

1058 = 2 · 23²

Field	Data	Notes
Atkin-Lehner	2+ 23-	Signs for the Atkin-Lehner involutions
Conductor	1058	Conductor
Count	2	Number of curves in isogeny class
Curves	1058a1 1058a2	Curves in isogeny class
deg	2640	Modular degree for the optimal curve
Eigenvalues	2+  0 -4  4 -2 -2  2  2	Hecke eigenvalues for primes less than 20
L	0.75833012807677	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	8464m 33856d 9522p 26450l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1058a

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

---

Quadratic twists for isogeny class 1058a

-4	8	-3	5	-7	-11	-23
8464m	33856d	9522p	26450l	51842d	128018t	46a

---

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