Elliptic curve isogeny class with Cremona label 132858j (LMFDB label 132858.bt)

• Label: 132858j
• Number of curves: $2$
• Conductor: $132858$
• CM: no
• Rank: $2$

Elliptic curves in class 132858j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
132858.bt2	132858j1	\([1, -1, 1, -5468, 1202303]\)	\(-13997521/474336\)	\(-612589750543584\)	\([]\)	\(672000\)	\(1.5177\)	\(\Gamma_0(N)\)-optimal
132858.bt1	132858j2	\([1, -1, 1, -560858, -203050537]\)	\(-15107691357361/5067577806\)	\(-6544614416864296014\)	\([]\)	\(3360000\)	\(2.3224\)

Rank

The elliptic curves in class 132858j have rank \(2\).

Complex multiplication

The elliptic curves in class 132858j do not have complex multiplication.

Modular form 132858.2.a.j

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.

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.