Elliptic curve isogeny class with Cremona label 423864o (LMFDB label 423864.o)

• Label: 423864o
• Number of curves: $2$
• Conductor: $423864$
• CM: no
• Rank: $1$

Elliptic curves in class 423864o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
423864.o1	423864o1	\([0, 0, 0, -55506, 1585285]\)	\(2725888/1421\)	\(9858925306140624\)	\([2]\)	\(2257920\)	\(1.7608\)	\(\Gamma_0(N)\)-optimal
423864.o2	423864o2	\([0, 0, 0, 209409, 12340834]\)	\(9148592/5887\)	\(-653505906007035648\)	\([2]\)	\(4515840\)	\(2.1074\)

Rank

The elliptic curves in class 423864o have rank \(1\).

Complex multiplication

The elliptic curves in class 423864o do not have complex multiplication.

Modular form 423864.2.a.o

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.