Cremona's table of elliptic curves

14400 = 2⁶ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5-	Signs for the Atkin-Lehner involutions
Class	14400dc	Isogeny class
Conductor	14400	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	2460375000000 = 26 · 39 · 59	Discriminant
Eigenvalues	2- 3+ 5-  0  0  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3375,0]	[a1,a2,a3,a4,a6]
Generators	[3468:35054:27]	Generators of the group modulo torsion
j	1728	j-invariant
L	4.9757006194887	L(r)(E,1)/r!
Ω	0.68802429124138	Real period
R	7.2318676576247	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14400dc1 7200be2 14400db1 14400dd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400dc1

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	0	4	-2	0	0	-4	0	-12	8	0	0	14	0	-10	0	0	-16	0	0	-16	8

---

Quadratic twists for elliptic curve 14400dc1

-4	8	-3	5
14400dc1	7200be2	14400db1	14400dd1

---

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