Cremona's table of elliptic curves

2024 = 2³ · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 11+ 23+	Signs for the Atkin-Lehner involutions
Conductor	2024	Conductor
Count	1	Number of curves in isogeny class
Curves	2024b1	Curves in isogeny class
deg	2400	Modular degree for the optimal curve
Eigenvalues	2+  2 -3  3 11+ -5 -1 -6	Hecke eigenvalues for primes less than 20
L	3.6159686565032	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4048b 16192i 18216n 50600j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2024b

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	-3	3	+	-5	-1	-6	+	7	-7	-1	-6	-4	7	2	-6	4	-5	3	-4	7	8	10	-2

---

Quadratic twists for isogeny class 2024b

-4	8	-3	5	-7	-11	-23
4048b	16192i	18216n	50600j	99176e	22264f	46552e

---

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