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	23520i1 23520i2 23520i3 23520i4	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5- 7-  4 -2  2 -8	Hecke eigenvalues for primes less than 20
L	4.9695411428735	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	23520x 47040gj 70560dm 117600gz	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 23520i

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

---

Quadratic twists for isogeny class 23520i

-4	8	-3	5	-7
23520x	47040gj	70560dm	117600gz	480c

---

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