Cremona's table of elliptic curves

440 = 2³ · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11+	Signs for the Atkin-Lehner involutions
Conductor	440	Conductor
Count	2	Number of curves in isogeny class
Curves	440a1 440a2	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2+  0 5+ -2 11+  0  0 -8	Hecke eigenvalues for primes less than 20
L	1.7340332812889	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	880b 3520l 3960s 2200e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 440a

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

---

Quadratic twists for isogeny class 440a

-4	8	-3	5	-7	-11	13	17
880b	3520l	3960s	2200e	21560i	4840f	74360s	127160g

---

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