Cremona's table of elliptic curves

1045 = 5 · 11 · 19

Field	Data	Notes
Atkin-Lehner	5+ 11+ 19+	Signs for the Atkin-Lehner involutions
Conductor	1045	Conductor
Count	2	Number of curves in isogeny class
Curves	1045a1 1045a2	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	-1 -2 5+ -2 11+  6  0 19+	Hecke eigenvalues for primes less than 20
L	1.0588475231503	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	16720z 66880bv 9405m 5225a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1045a

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
-1	-2	+	-2	+	6	0	+	0	6	4	0	-6	-6	-4	12	-8	-14	6	-8	16	-8	6	-2	4

---

Quadratic twists for isogeny class 1045a

-4	8	-3	5	-7	-11	-19
16720z	66880bv	9405m	5225a	51205o	11495c	19855a

---

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