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

• Label: 463680md
• Number of curves: $2$
• Conductor: $463680$
• CM: no
• Rank: $1$

Elliptic curves in class 463680md

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
463680.md2	463680md1	\([0, 0, 0, -292332, 60654256]\)	\(14457238157881/49990500\)	\(9553333321728000\)	\([2]\)	\(3538944\)	\(1.9293\)	\(\Gamma_0(N)\)-optimal
463680.md1	463680md2	\([0, 0, 0, -424812, 190384]\)	\(44365623586201/25674468750\)	\(4906467385344000000\)	\([2]\)	\(7077888\)	\(2.2759\)

Rank

The elliptic curves in class 463680md have rank \(1\).

Complex multiplication

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

Modular form 463680.2.a.md

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.