Cremona's table of elliptic curves

588 = 2² · 3 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Conductor	588	Conductor
Count	2	Number of curves in isogeny class
Curves	588f1 588f2	Curves in isogeny class
deg	288	Modular degree for the optimal curve
Eigenvalues	2- 3- -4 7-  2  6  4  4	Hecke eigenvalues for primes less than 20
L	1.4860025529283	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2352p 9408r 1764k 14700h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 588f

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

---

Quadratic twists for isogeny class 588f

-4	8	-3	5	-7	-11	13
2352p	9408r	1764k	14700h	84b	71148cv	99372bt

---

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