Elliptic curve isogeny class with Cremona label 546g (LMFDB label 546.g)

• Label: 546g
• Number of curves: $4$
• Conductor: $546$
• CM: no
• Rank: $0$

Elliptic curves in class 546g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
546.g3	546g1	\([1, 0, 0, -7, -7]\)	\(38272753/4368\)	\(4368\)	\([2]\)	\(48\)	\(-0.56917\)	\(\Gamma_0(N)\)-optimal
546.g2	546g2	\([1, 0, 0, -27, 45]\)	\(2181825073/298116\)	\(298116\)	\([2, 2]\)	\(96\)	\(-0.22260\)
546.g1	546g3	\([1, 0, 0, -417, 3243]\)	\(8020417344913/187278\)	\(187278\)	\([2]\)	\(192\)	\(0.12397\)
546.g4	546g4	\([1, 0, 0, 43, 255]\)	\(8780064047/32388174\)	\(-32388174\)	\([2]\)	\(192\)	\(0.12397\)

Rank

The elliptic curves in class 546g have rank \(0\).

Complex multiplication

The elliptic curves in class 546g do not have complex multiplication.

Modular form 546.2.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 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.