Elliptic curve isogeny class with Cremona label 141610z (LMFDB label 141610.cl)

• Label: 141610z
• Number of curves: $2$
• Conductor: $141610$
• CM: no
• Rank: $1$

Elliptic curves in class 141610z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
141610.cl2	141610z1	\([1, 0, 0, 5649944, 1605161536]\)	\(7023836099951/4456448000\)	\(-12655246583995301888000\)	\([]\)	\(8709120\)	\(2.9300\)	\(\Gamma_0(N)\)-optimal
141610.cl1	141610z2	\([1, 0, 0, -94043496, 362337717440]\)	\(-32391289681150609/1228250000000\)	\(-3487936270498888250000000\)	\([]\)	\(26127360\)	\(3.4793\)

Rank

The elliptic curves in class 141610z have rank \(1\).

Complex multiplication

The elliptic curves in class 141610z do not have complex multiplication.

Modular form 141610.2.a.z

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.