Elliptic curve isogeny class with Cremona label 46800df (LMFDB label 46800.bg)

• Label: 46800df
• Number of curves: $2$
• Conductor: $46800$
• CM: no
• Rank: $1$

Elliptic curves in class 46800df

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
46800.bg2	46800df1	\([0, 0, 0, -1200, 14375]\)	\(1048576/117\)	\(21323250000\)	\([2]\)	\(30720\)	\(0.71492\)	\(\Gamma_0(N)\)-optimal
46800.bg1	46800df2	\([0, 0, 0, -4575, -103750]\)	\(3631696/507\)	\(1478412000000\)	\([2]\)	\(61440\)	\(1.0615\)

Rank

The elliptic curves in class 46800df have rank \(1\).

Complex multiplication

The elliptic curves in class 46800df do not have complex multiplication.

Modular form 46800.2.a.df

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.