Elliptic curve isogeny class with Cremona label 14196l (LMFDB label 14196.q)

• Label: 14196l
• Number of curves: $2$
• Conductor: $14196$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 14196l have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(7\)	\(1 + T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(11\)	\( 1 - 6 T + 11 T^{2}\)	1.11.ag
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 14196l do not have complex multiplication.

Modular form 14196.2.a.l

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 14196l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
14196.q1	14196l1	\([0, 1, 0, -509461, -140133148]\)	\(416013434950254592/771895089\)	\(27133656168528\)	\([2]\)	\(138240\)	\(1.8337\)	\(\Gamma_0(N)\)-optimal
14196.q2	14196l2	\([0, 1, 0, -504196, -143165788]\)	\(-25203028990703632/1121144263281\)	\(-630567410285659392\)	\([2]\)	\(276480\)	\(2.1802\)