Elliptic curve isogeny class with LMFDB label 11200.bf (Cremona label 11200cl)

• Label: 11200.bf
• Number of curves: $2$
• Conductor: $11200$
• CM: no
• Rank: $1$

Elliptic curves in class 11200.bf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11200.bf1	11200cl2	\([0, -1, 0, -80533, 8823437]\)	\(-225637236736/1715\)	\(-439040000000\)	\([]\)	\(27648\)	\(1.4088\)
11200.bf2	11200cl1	\([0, -1, 0, -533, 23437]\)	\(-65536/875\)	\(-224000000000\)	\([]\)	\(9216\)	\(0.85953\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 11200.bf have rank \(1\).

Complex multiplication

The elliptic curves in class 11200.bf do not have complex multiplication.

Modular form 11200.2.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.