Elliptic curve isogeny class with Cremona label 14400q (LMFDB label 14400.ff)

• Label: 14400q
• Number of curves: $2$
• Conductor: $14400$
• CM: no
• Rank: $0$

Elliptic curves in class 14400q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
14400.ff2	14400q1	\([0, 0, 0, -13500, -1350000]\)	\(-432\)	\(-629856000000000\)	\([2]\)	\(61440\)	\(1.5281\)	\(\Gamma_0(N)\)-optimal
14400.ff1	14400q2	\([0, 0, 0, -283500, -58050000]\)	\(1000188\)	\(2519424000000000\)	\([2]\)	\(122880\)	\(1.8747\)

Rank

The elliptic curves in class 14400q have rank \(0\).

Complex multiplication

The elliptic curves in class 14400q do not have complex multiplication.

Modular form 14400.2.a.q

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.