Elliptic curve isogeny class with Cremona label 302330bn (LMFDB label 302330.bn)

• Label: 302330bn
• Number of curves: $2$
• Conductor: $302330$
• CM: no
• Rank: $1$

Elliptic curves in class 302330bn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
302330.bn2	302330bn1	\([1, 1, 1, -89860, -11299835]\)	\(-233953279237800487/24364096000000\)	\(-8356884928000000\)	\([2]\)	\(2396160\)	\(1.7943\)	\(\Gamma_0(N)\)-optimal
302330.bn1	302330bn2	\([1, 1, 1, -1471940, -687966203]\)	\(1028252875738853529127/9640625000000\)	\(3306734375000000\)	\([2]\)	\(4792320\)	\(2.1409\)

Rank

The elliptic curves in class 302330bn have rank \(1\).

Complex multiplication

The elliptic curves in class 302330bn do not have complex multiplication.

Modular form 302330.2.a.bn

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.