Elliptic curve isogeny class with Cremona label 9240bg (LMFDB label 9240.bd)

• Label: 9240bg
• Number of curves: $4$
• Conductor: $9240$
• CM: no
• Rank: $1$

Elliptic curves in class 9240bg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9240.bd4	9240bg1	\([0, 1, 0, -40591, 2778170]\)	\(462278484549842944/57095309704125\)	\(913524955266000\)	\([2]\)	\(46080\)	\(1.6006\)	\(\Gamma_0(N)\)-optimal
9240.bd2	9240bg2	\([0, 1, 0, -628836, 191722464]\)	\(107422839278466723664/2001871265625\)	\(512479044000000\)	\([2, 2]\)	\(92160\)	\(1.9472\)
9240.bd1	9240bg3	\([0, 1, 0, -10061336, 12280414464]\)	\(109999511474021786850916/38201625\)	\(39118464000\)	\([2]\)	\(184320\)	\(2.2938\)
9240.bd3	9240bg4	\([0, 1, 0, -608256, 204877200]\)	\(-24304331176056594436/3678122314453125\)	\(-3766397250000000000\)	\([2]\)	\(184320\)	\(2.2938\)

Rank

The elliptic curves in class 9240bg have rank \(1\).

Complex multiplication

The elliptic curves in class 9240bg do not have complex multiplication.

Modular form 9240.2.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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.