Cremona's table of elliptic curves

12240 = 2⁴ · 3² · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17+	Signs for the Atkin-Lehner involutions
Conductor	12240	Conductor
Count	8	Number of curves in isogeny class
Curves	12240bm1 12240bm2 12240bm3 12240bm4 12240bm5 12240bm6 12240bm7 12240bm8	Curves in isogeny class
deg	24576	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+  0  4 -2 17+ -4	Hecke eigenvalues for primes less than 20
L	4.4228697605358	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1530c 48960fd 4080be 61200ff	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 12240bm

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

---

Quadratic twists for isogeny class 12240bm

-4	8	-3	5
1530c	48960fd	4080be	61200ff

---

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