Elliptic curve isogeny class with Cremona label 38640bl (LMFDB label 38640.e)

• Label: 38640bl
• Number of curves: $2$
• Conductor: $38640$
• CM: no
• Rank: $1$

Elliptic curves in class 38640bl

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
38640.e1	38640bl1	\([0, -1, 0, -341, -7395]\)	\(-1073741824/5325075\)	\(-21811507200\)	\([]\)	\(31104\)	\(0.66824\)	\(\Gamma_0(N)\)-optimal
38640.e2	38640bl2	\([0, -1, 0, 3019, 182781]\)	\(742692847616/3992296875\)	\(-16352448000000\)	\([]\)	\(93312\)	\(1.2175\)

Rank

The elliptic curves in class 38640bl have rank \(1\).

Complex multiplication

The elliptic curves in class 38640bl do not have complex multiplication.

Modular form 38640.2.a.bl

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.