Cremona's table of elliptic curves

23520 = 2⁵ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	23520	Conductor
Count	4	Number of curves in isogeny class
Curves	23520bs1 23520bs2 23520bs3 23520bs4	Curves in isogeny class
deg	36864	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7- -4 -6  6  4	Hecke eigenvalues for primes less than 20
L	2.1628711077142	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	23520bg 47040fi 70560bt 117600bb	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 23520bs

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

---

Quadratic twists for isogeny class 23520bs

-4	8	-3	5	-7
23520bg	47040fi	70560bt	117600bb	3360p

---

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