Elliptic curve isogeny class with Cremona label 113568bw (LMFDB label 113568.t)

• Label: 113568bw
• Number of curves: $2$
• Conductor: $113568$
• CM: no
• Rank: $1$

Elliptic curves in class 113568bw

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
113568.t2	113568bw1	\([0, -1, 0, 282, 9996]\)	\(8000/147\)	\(-45410619072\)	\([2]\)	\(73728\)	\(0.72536\)	\(\Gamma_0(N)\)-optimal
113568.t1	113568bw2	\([0, -1, 0, -5633, 155505]\)	\(1000000/63\)	\(1245548408832\)	\([2]\)	\(147456\)	\(1.0719\)

Rank

The elliptic curves in class 113568bw have rank \(1\).

Complex multiplication

The elliptic curves in class 113568bw do not have complex multiplication.

Modular form 113568.2.a.bw

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.