Cremona's table of elliptic curves

1518 = 2 · 3 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11+ 23+	Signs for the Atkin-Lehner involutions
Conductor	1518	Conductor
Count	1	Number of curves in isogeny class
Curves	1518a1	Curves in isogeny class
deg	480	Modular degree for the optimal curve
Eigenvalues	2+ 3+  1  1 11+ -5  3  0	Hecke eigenvalues for primes less than 20
L	1.9415443964766	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	12144bm 48576bk 4554bh 37950cr	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1518a

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	1	+	-5	3	0	+	-3	-7	-3	-2	6	1	2	12	4	-15	9	2	-3	2	-12	-18

---

Quadratic twists for isogeny class 1518a

-4	8	-3	5	-7	-11	-23
12144bm	48576bk	4554bh	37950cr	74382l	16698y	34914i

---

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