Elliptic curve isogeny class with LMFDB label 57222.bd (Cremona label 57222x)

• Label: 57222.bd
• Number of curves: $2$
• Conductor: $57222$
• CM: no
• Rank: $1$

Elliptic curves in class 57222.bd

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
57222.bd1	57222x1	[1, -1, 0, -509850, 140162548]	[2]	884736	\(\Gamma_0(N)\)-optimal
57222.bd2	57222x2	[1, -1, 0, -405810, 198945148]	[2]	1769472

Rank

The elliptic curves in class 57222.bd have rank \(1\).

Complex multiplication

The elliptic curves in class 57222.bd do not have complex multiplication.

Modular form 57222.2.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.