Cremona's table of elliptic curves

14112 = 2⁵ · 3² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7-	Signs for the Atkin-Lehner involutions
Class	14112x	Isogeny class
Conductor	14112	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	43912253952 = 29 · 36 · 76	Discriminant
Eigenvalues	2+ 3- -2 7-  0 -6  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4851,129654]	[a1,a2,a3,a4,a6]
Generators	[49:98:1]	Generators of the group modulo torsion
j	287496	j-invariant
L	3.8026094901546	L(r)(E,1)/r!
Ω	1.1443597351499	Real period
R	0.83072861036489	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	14112x2 28224fp4 1568g2 288d2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14112x3

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
+	-	-2	-	0	-6	2	0	0	10	0	-2	10	0	0	-14	0	10	0	0	6	0	0	10	-18

---

Quadratic twists for elliptic curve 14112x3

-4	8	-3	-7
14112x2	28224fp4	1568g2	288d2

---

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