Elliptic curve isogeny class with Cremona label 9200bg (LMFDB label 9200.bf)

• Label: 9200bg
• Number of curves: $2$
• Conductor: $9200$
• CM: no
• Rank: $1$

Elliptic curves in class 9200bg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9200.bf2	9200bg1	$[0, -1, 0, -15208, 588912]$	$243135625/48668$	$77868800000000$	$[]$	$17280$	$1.3816$	$\Gamma_0(N)$-optimal
9200.bf1	9200bg2	$[0, -1, 0, -1165208, 484508912]$	$109348914285625/1472$	$2355200000000$	$[]$	$51840$	$1.9309$

Rank

The elliptic curves in class 9200bg have rank $1$.

Complex multiplication

The elliptic curves in class 9200bg do not have complex multiplication.

Modular form 9200.2.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.

$\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.