Elliptic curve isogeny class with LMFDB label 274456.v (Cremona label 274456v)

• Label: 274456.v
• Number of curves: $2$
• Conductor: $274456$
• CM: no
• Rank: $0$

Elliptic curves in class 274456.v

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
274456.v1	274456v1	\([0, -1, 0, -1239, -4876]\)	\(2725888/1421\)	\(109742329424\)	\([2]\)	\(215040\)	\(0.81030\)	\(\Gamma_0(N)\)-optimal
274456.v2	274456v2	\([0, -1, 0, 4676, -42732]\)	\(9148592/5887\)	\(-7274348693248\)	\([2]\)	\(430080\)	\(1.1569\)

Rank

The elliptic curves in class 274456.v have rank \(0\).

Complex multiplication

The elliptic curves in class 274456.v do not have complex multiplication.

Modular form 274456.2.a.v

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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.