Elliptic curve isogeny class with LMFDB label 138600.dv (Cremona label 138600dj)

• Label: 138600.dv
• Number of curves: $2$
• Conductor: $138600$
• CM: no
• Rank: $0$

Elliptic curves in class 138600.dv

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
138600.dv1	138600dj2	\([0, 0, 0, -63075, 6002750]\)	\(1189646642/21175\)	\(493970400000000\)	\([2]\)	\(589824\)	\(1.6154\)
138600.dv2	138600dj1	\([0, 0, 0, -75, 269750]\)	\(-4/2695\)	\(-31434480000000\)	\([2]\)	\(294912\)	\(1.2688\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 138600.dv have rank \(0\).

Complex multiplication

The elliptic curves in class 138600.dv do not have complex multiplication.

Modular form 138600.2.a.dv

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.