Elliptic curve isogeny class with Cremona label 14112k (LMFDB label 14112.w)

• Label: 14112k
• Number of curves: $1$
• Conductor: $14112$
• CM: no
• Rank: $0$

Rank

The elliptic curve 14112k1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(7\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 6 T + 19 T^{2}\)	1.19.g
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 14112k do not have complex multiplication.

Modular form 14112.2.a.k

Elliptic curves in class 14112k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
14112.w1	14112k1	\([0, 0, 0, 28077, -168266]\)	\(2731405432/1594323\)	\(-1428781968520704\)	\([]\)	\(49920\)	\(1.5974\)	\(\Gamma_0(N)\)-optimal