Elliptic curve isogeny class with LMFDB label 101150.o (Cremona label 101150c)

• Label: 101150.o
• Number of curves: $4$
• Conductor: $101150$
• CM: no
• Rank: $1$

Elliptic curves in class 101150.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
101150.o1	101150c4	\([1, -1, 0, -1934042, -1034720134]\)	\(2121328796049/120050\)	\(45276799350781250\)	\([2]\)	\(1966080\)	\(2.2603\)
101150.o2	101150c3	\([1, -1, 0, -633542, 181536366]\)	\(74565301329/5468750\)	\(2062536413574218750\)	\([2]\)	\(1966080\)	\(2.2603\)
101150.o3	101150c2	\([1, -1, 0, -127792, -14188884]\)	\(611960049/122500\)	\(46200815664062500\)	\([2, 2]\)	\(983040\)	\(1.9137\)
101150.o4	101150c1	\([1, -1, 0, 16708, -1328384]\)	\(1367631/2800\)	\(-1056018643750000\)	\([2]\)	\(491520\)	\(1.5672\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 101150.o have rank \(1\).

Complex multiplication

The elliptic curves in class 101150.o do not have complex multiplication.

Modular form 101150.2.a.o

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.