Elliptic curve isogeny class with Cremona label 333200fi (LMFDB label 333200.fi)

• Label: 333200fi
• Number of curves: $2$
• Conductor: $333200$
• CM: no
• Rank: $1$

Elliptic curves in class 333200fi

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
333200.fi2	333200fi1	\([0, 1, 0, 14292, -169912]\)	\(27440/17\)	\(-200003300000000\)	\([]\)	\(544320\)	\(1.4332\)	\(\Gamma_0(N)\)-optimal
333200.fi1	333200fi2	\([0, 1, 0, -230708, -44269912]\)	\(-115431760/4913\)	\(-57800953700000000\)	\([]\)	\(1632960\)	\(1.9825\)

Rank

The elliptic curves in class 333200fi have rank \(1\).

Complex multiplication

The elliptic curves in class 333200fi do not have complex multiplication.

Modular form 333200.2.a.fi

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.