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

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

Elliptic curves in class 546.g

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

Rank

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

Complex multiplication

The elliptic curves in class 546.g 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 LMFDB 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 LMFDB labels.