Elliptic curve isogeny class with Cremona label 381150go (LMFDB label 381150.go)

• Label: 381150go
• Number of curves: $4$
• Conductor: $381150$
• CM: no
• Rank: $0$

Elliptic curves in class 381150go

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
381150.go4	381150go1	\([1, -1, 0, 271683, 445406341]\)	\(109902239/4312000\)	\(-87012654411375000000\)	\([2]\)	\(13271040\)	\(2.5059\)	\(\Gamma_0(N)\)-optimal
381150.go2	381150go2	\([1, -1, 0, -7351317, 7344221341]\)	\(2177286259681/105875000\)	\(2136471425279296875000\)	\([2]\)	\(26542080\)	\(2.8525\)
381150.go3	381150go3	\([1, -1, 0, -2450817, -12184271159]\)	\(-80677568161/3131816380\)	\(-63197508430617690937500\)	\([2]\)	\(39813120\)	\(3.0552\)
381150.go1	381150go4	\([1, -1, 0, -95832567, -359097472409]\)	\(4823468134087681/30382271150\)	\(613089531495278036718750\)	\([2]\)	\(79626240\)	\(3.4018\)

Rank

The elliptic curves in class 381150go have rank \(0\).

Complex multiplication

The elliptic curves in class 381150go do not have complex multiplication.

Modular form 381150.2.a.go

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.