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

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

Elliptic curves in class 9200.bf

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

Rank

The elliptic curves in class 9200.bf have rank \(1\).

Complex multiplication

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

Modular form 9200.2.a.bf

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.