Elliptic curve isogeny class with Cremona label 463680kh (LMFDB label 463680.kh)

• Label: 463680kh
• Number of curves: $2$
• Conductor: $463680$
• CM: no
• Rank: $0$

Elliptic curves in class 463680kh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
463680.kh1	463680kh1	\([0, 0, 0, -3132, -18576]\)	\(10536048/5635\)	\(1817210142720\)	\([2]\)	\(737280\)	\(1.0436\)	\(\Gamma_0(N)\)-optimal
463680.kh2	463680kh2	\([0, 0, 0, 11988, -145584]\)	\(147704148/92575\)	\(-119416666521600\)	\([2]\)	\(1474560\)	\(1.3902\)

Rank

The elliptic curves in class 463680kh have rank \(0\).

Complex multiplication

The elliptic curves in class 463680kh do not have complex multiplication.

Modular form 463680.2.a.kh

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.