Elliptic curve isogeny class with LMFDB label 110946.g (Cremona label 110946h)

• Label: 110946.g
• Number of curves: $4$
• Conductor: $110946$
• CM: no
• Rank: $0$

Elliptic curves in class 110946.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
110946.g1	110946h3	\([1, 1, 0, -135355, -19150307]\)	\(57736239625/255552\)	\(1213898638996032\)	\([2]\)	\(829440\)	\(1.7467\)
110946.g2	110946h4	\([1, 1, 0, -68115, -38098539]\)	\(-7357983625/127552392\)	\(-605887158188894472\)	\([2]\)	\(1658880\)	\(2.0933\)
110946.g3	110946h1	\([1, 1, 0, -9280, 320716]\)	\(18609625/1188\)	\(5643123838308\)	\([2]\)	\(276480\)	\(1.1974\)	\(\Gamma_0(N)\)-optimal
110946.g4	110946h2	\([1, 1, 0, 7530, 1373022]\)	\(9938375/176418\)	\(-838003889988738\)	\([2]\)	\(552960\)	\(1.5440\)

Rank

The elliptic curves in class 110946.g have rank \(0\).

Complex multiplication

The elliptic curves in class 110946.g do not have complex multiplication.

Modular form 110946.2.a.g

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.