Elliptic curve isogeny class with LMFDB label 115920.el (Cremona label 115920by)

• Label: 115920.el
• Number of curves: $2$
• Conductor: $115920$
• CM: no
• Rank: $1$

Elliptic curves in class 115920.el

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
115920.el1	115920by2	\([0, 0, 0, -9147, -335414]\)	\(56689453298/253575\)	\(378585446400\)	\([2]\)	\(196608\)	\(1.0735\)
115920.el2	115920by1	\([0, 0, 0, -867, 754]\)	\(96550276/55545\)	\(41464120320\)	\([2]\)	\(98304\)	\(0.72694\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 115920.el have rank \(1\).

Complex multiplication

The elliptic curves in class 115920.el do not have complex multiplication.

Modular form 115920.2.a.el

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.