Cremona's table of elliptic curves

6555 = 3 · 5 · 19 · 23

Field	Data	Notes
Atkin-Lehner	3+ 5- 19- 23+	Signs for the Atkin-Lehner involutions
Conductor	6555	Conductor
Count	6	Number of curves in isogeny class
Curves	6555i1 6555i2 6555i3 6555i4 6555i5 6555i6	Curves in isogeny class
deg	3328	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5-  0  4  6  2 19-	Hecke eigenvalues for primes less than 20
L	2.628663322862	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	104880db 19665s 32775bd 124545bl	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for isogeny class 6555i

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

---

Quadratic twists for isogeny class 6555i

-4	-3	5	-19
104880db	19665s	32775bd	124545bl

---

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