Elliptic curve isogeny class with LMFDB label 390.g (Cremona label 390c)

• Label: 390.g
• Number of curves: $4$
• Conductor: $390$
• CM: no
• Rank: $0$

Elliptic curves in class 390.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
390.g1	390c4	\([1, 0, 0, -1196, -15210]\)	\(189208196468929/10860320250\)	\(10860320250\)	\([2]\)	\(288\)	\(0.67982\)
390.g2	390c2	\([1, 0, 0, -206, 1116]\)	\(967068262369/4928040\)	\(4928040\)	\([6]\)	\(96\)	\(0.13052\)
390.g3	390c1	\([1, 0, 0, -6, 36]\)	\(-24137569/561600\)	\(-561600\)	\([6]\)	\(48\)	\(-0.21606\)	\(\Gamma_0(N)\)-optimal
390.g4	390c3	\([1, 0, 0, 54, -960]\)	\(17394111071/411937500\)	\(-411937500\)	\([2]\)	\(144\)	\(0.33325\)

Rank

The elliptic curves in class 390.g have rank \(0\).

Complex multiplication

The elliptic curves in class 390.g do not have complex multiplication.

Modular form 390.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.