Elliptic curve isogeny class with LMFDB label 363726.bd (Cremona label 363726bd)

• Label: 363726.bd
• Number of curves: $2$
• Conductor: $363726$
• CM: no
• Rank: $2$

Elliptic curves in class 363726.bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
363726.bd1	363726bd2	\([1, -1, 0, -8305281, 9088302757]\)	\(49057238215631017/773195636664\)	\(998557398522118015416\)	\([2]\)	\(21934080\)	\(2.8300\)
363726.bd2	363726bd1	\([1, -1, 0, -1030761, -183800435]\)	\(93780867197737/42939243072\)	\(55454657040593160768\)	\([2]\)	\(10967040\)	\(2.4834\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 363726.bd have rank \(2\).

Complex multiplication

The elliptic curves in class 363726.bd do not have complex multiplication.

Modular form 363726.2.a.bd

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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.