Cremona's table of elliptic curves

12480 = 2⁶ · 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 13+	Signs for the Atkin-Lehner involutions
Conductor	12480	Conductor
Count	8	Number of curves in isogeny class
Curves	12480a1 12480a2 12480a3 12480a4 12480a5 12480a6 12480a7 12480a8	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+  0 -4 13+  2  4	Hecke eigenvalues for primes less than 20
L	3.4058133531174	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	12480cj 195a 37440ca 62400cs	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 12480a

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
+	+	+	0	-4	+	2	4	8	2	-8	-6	-6	4	-8	-6	12	2	4	0	-6	16	4	10	18

---

Quadratic twists for isogeny class 12480a

-4	8	-3	5
12480cj	195a	37440ca	62400cs

---

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