Elliptic curve isogeny class with LMFDB label 382200.o (Cremona label 382200o)

• Label: 382200.o
• Number of curves: $2$
• Conductor: $382200$
• CM: no
• Rank: $0$

Elliptic curves in class 382200.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
382200.o1	382200o1	\([0, -1, 0, -181708, -10340588]\)	\(11279504/5733\)	\(337240858500000000\)	\([2]\)	\(4423680\)	\(2.0557\)	\(\Gamma_0(N)\)-optimal
382200.o2	382200o2	\([0, -1, 0, 675792, -80655588]\)	\(145058764/95823\)	\(-22546960254000000000\)	\([2]\)	\(8847360\)	\(2.4023\)

Rank

The elliptic curves in class 382200.o have rank \(0\).

Complex multiplication

The elliptic curves in class 382200.o do not have complex multiplication.

Modular form 382200.2.a.o

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.