Elliptic curve isogeny class with Cremona label 317400bg (LMFDB label 317400.bg)

• Label: 317400bg
• Number of curves: $2$
• Conductor: $317400$
• CM: no
• Rank: $0$

Elliptic curves in class 317400bg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
317400.bg2	317400bg1	\([0, -1, 0, 192, 63612]\)	\(4/9\)	\(-1752048000000\)	\([2]\)	\(589824\)	\(1.0283\)	\(\Gamma_0(N)\)-optimal
317400.bg1	317400bg2	\([0, -1, 0, -22808, 1305612]\)	\(3370318/81\)	\(31536864000000\)	\([2]\)	\(1179648\)	\(1.3748\)

Rank

The elliptic curves in class 317400bg have rank \(0\).

Complex multiplication

The elliptic curves in class 317400bg do not have complex multiplication.

Modular form 317400.2.a.bg

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.