Elliptic curve isogeny class with LMFDB label 73920.ed (Cremona label 73920bw)

• Label: 73920.ed
• Number of curves: $2$
• Conductor: $73920$
• CM: no
• Rank: $0$

Elliptic curves in class 73920.ed

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
73920.ed1	73920bw2	\([0, -1, 0, -3365, -74025]\)	\(-65860951343104/3493875\)	\(-223608000\)	\([]\)	\(62208\)	\(0.66992\)
73920.ed2	73920bw1	\([0, -1, 0, -5, -273]\)	\(-262144/509355\)	\(-32598720\)	\([]\)	\(20736\)	\(0.12062\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 73920.ed have rank \(0\).

Complex multiplication

The elliptic curves in class 73920.ed do not have complex multiplication.

Modular form 73920.2.a.ed

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.