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

• Label: 381150pv
• Number of curves: $4$
• Conductor: $381150$
• CM: no
• Rank: $1$

Elliptic curves in class 381150pv

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
381150.pv4	381150pv1	\([1, -1, 1, 94720, -6860653]\)	\(4657463/3696\)	\(-74582275209750000\)	\([2]\)	\(3932160\)	\(1.9255\)	\(\Gamma_0(N)\)-optimal
381150.pv3	381150pv2	\([1, -1, 1, -449780, -59132653]\)	\(498677257/213444\)	\(4307126393363062500\)	\([2, 2]\)	\(7864320\)	\(2.2721\)
381150.pv2	381150pv3	\([1, -1, 1, -3444530, 2420520347]\)	\(223980311017/4278582\)	\(86338306339686843750\)	\([2]\)	\(15728640\)	\(2.6186\)
381150.pv1	381150pv4	\([1, -1, 1, -6167030, -5890727653]\)	\(1285429208617/614922\)	\(12408626038022156250\)	\([2]\)	\(15728640\)	\(2.6186\)

Rank

The elliptic curves in class 381150pv have rank \(1\).

Complex multiplication

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

Modular form 381150.2.a.pv

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.