Cremona's table of elliptic curves

1040 = 2⁴ · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 13-	Signs for the Atkin-Lehner involutions
Conductor	1040	Conductor
Count	2	Number of curves in isogeny class
Curves	1040b1 1040b2	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2+ -2 5-  0 -2 13-  2 -2	Hecke eigenvalues for primes less than 20
L	1.9560341447686	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	520b 4160m 9360k 5200b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1040b

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

---

Quadratic twists for isogeny class 1040b

-4	8	-3	5	-7	-11	13
520b	4160m	9360k	5200b	50960a	125840u	13520e

---

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