Cremona's table of elliptic curves

29040 = 2⁴ · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 11-	Signs for the Atkin-Lehner involutions
Conductor	29040	Conductor
Count	6	Number of curves in isogeny class
Curves	29040n1 29040n2 29040n3 29040n4 29040n5 29040n6	Curves in isogeny class
deg	61440	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5-  0 11-  2 -2  4	Hecke eigenvalues for primes less than 20
L	5.0008452335784	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	14520u 116160hr 87120s 2640f	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for isogeny class 29040n

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

---

Quadratic twists for isogeny class 29040n

-4	8	-3	-11
14520u	116160hr	87120s	2640f

---

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