Elliptic curve isogeny class with Cremona label 320790y (LMFDB label 320790.y)

• Label: 320790y
• Number of curves: $2$
• Conductor: $320790$
• CM: no
• Rank: $1$

Elliptic curves in class 320790y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
320790.y2	320790y1	\([1, 0, 1, 3606, -1691108]\)	\(214921799/51326400\)	\(-1238894521521600\)	\([2]\)	\(1327104\)	\(1.5753\)	\(\Gamma_0(N)\)-optimal
320790.y1	320790y2	\([1, 0, 1, -192914, -31719364]\)	\(32894113444921/1047285000\)	\(25278913950165000\)	\([2]\)	\(2654208\)	\(1.9219\)

Rank

The elliptic curves in class 320790y have rank \(1\).

Complex multiplication

The elliptic curves in class 320790y do not have complex multiplication.

Modular form 320790.2.a.y

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.