Elliptic curve isogeny class with Cremona label 2790k (LMFDB label 2790.j)

• Label: 2790k
• Number of curves: $2$
• Conductor: $2790$
• CM: no
• Rank: $0$

Elliptic curves in class 2790k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2790.j2	2790k1	\([1, -1, 0, 351, -707]\)	\(6549699311/4017600\)	\(-2928830400\)	\([2]\)	\(1536\)	\(0.50566\)	\(\Gamma_0(N)\)-optimal
2790.j1	2790k2	\([1, -1, 0, -1449, -4667]\)	\(461710681489/252204840\)	\(183857328360\)	\([2]\)	\(3072\)	\(0.85223\)

Rank

The elliptic curves in class 2790k have rank \(0\).

Complex multiplication

The elliptic curves in class 2790k do not have complex multiplication.

Modular form 2790.2.a.k

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.