Elliptic curve isogeny class with Cremona label 10780g (LMFDB label 10780.a)

• Label: 10780g
• Number of curves: $2$
• Conductor: $10780$
• CM: no
• Rank: $1$

Elliptic curves in class 10780g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10780.a2	10780g1	\([0, 1, 0, -4181, -104840]\)	\(4294967296/29645\)	\(55803273680\)	\([2]\)	\(13824\)	\(0.89568\)	\(\Gamma_0(N)\)-optimal
10780.a1	10780g2	\([0, 1, 0, -6876, 43924]\)	\(1193895376/660275\)	\(19886257529600\)	\([2]\)	\(27648\)	\(1.2423\)

Rank

The elliptic curves in class 10780g have rank \(1\).

Complex multiplication

The elliptic curves in class 10780g do not have complex multiplication.

Modular form 10780.2.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.

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

Isogeny graph

The vertices are labelled with Cremona labels.