Elliptic curve isogeny class with Cremona label 227430em (LMFDB label 227430.cf)

• Label: 227430em
• Number of curves: $4$
• Conductor: $227430$
• CM: no
• Rank: $0$

Elliptic curves in class 227430em

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
227430.cf3	227430em1	[1, -1, 0, -11439, -294435]	[2]	921600	\(\Gamma_0(N)\)-optimal
227430.cf2	227430em2	[1, -1, 0, -76419, 7932033]	[2, 2]	1843200
227430.cf1	227430em3	[1, -1, 0, -1213569, 514873503]	[2]	3686400
227430.cf4	227430em4	[1, -1, 0, 21051, 26704755]	[2]	3686400

Rank

The elliptic curves in class 227430em have rank \(0\).

Complex multiplication

The elliptic curves in class 227430em do not have complex multiplication.

Modular form 227430.2.a.em

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.