Elliptic curve isogeny class with Cremona label 32400db (LMFDB label 32400.m)

• Label: 32400db
• Number of curves: $2$
• Conductor: $32400$
• CM: no
• Rank: $1$

Elliptic curves in class 32400db

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32400.m2	32400db1	\([0, 0, 0, -675, 209250]\)	\(-9/5\)	\(-18895680000000\)	\([]\)	\(55296\)	\(1.2266\)	\(\Gamma_0(N)\)-optimal
32400.m1	32400db2	\([0, 0, 0, -810675, -282156750]\)	\(-15590912409/78125\)	\(-295245000000000000\)	\([]\)	\(387072\)	\(2.1995\)

Rank

The elliptic curves in class 32400db have rank \(1\).

Complex multiplication

The elliptic curves in class 32400db do not have complex multiplication.

Modular form 32400.2.a.db

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.

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.