Elliptic curve isogeny class with LMFDB label 31958.j (Cremona label 31958h)

• Label: 31958.j
• Number of curves: $3$
• Conductor: $31958$
• CM: no
• Rank: $0$

Elliptic curves in class 31958.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
31958.j1	31958h3	\([1, 1, 1, -71923, -59749455]\)	\(-69173457625/2550136832\)	\(-1516880859414659072\)	\([]\)	\(412776\)	\(2.1688\)
31958.j2	31958h1	\([1, 1, 1, -13053, 568747]\)	\(-413493625/152\)	\(-90413144792\)	\([]\)	\(45864\)	\(1.0702\)	\(\Gamma_0(N)\)-optimal
31958.j3	31958h2	\([1, 1, 1, 7972, 2185149]\)	\(94196375/3511808\)	\(-2088905297274368\)	\([]\)	\(137592\)	\(1.6195\)

Rank

The elliptic curves in class 31958.j have rank \(0\).

Complex multiplication

The elliptic curves in class 31958.j do not have complex multiplication.

Modular form 31958.2.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 LMFDB numbering.

\(\left(\begin{array}{rrr} 1 & 9 & 3 \\ 9 & 1 & 3 \\ 3 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.