Elliptic curve isogeny class with Cremona label 224400bt (LMFDB label 224400.fl)

• Label: 224400bt
• Number of curves: $2$
• Conductor: $224400$
• CM: no
• Rank: $2$

Elliptic curves in class 224400bt

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
224400.fl1	224400bt1	[0, 1, 0, -78408, 8419188]	[2]	737280	\(\Gamma_0(N)\)-optimal
224400.fl2	224400bt2	[0, 1, 0, -62408, 11971188]	[2]	1474560

Rank

The elliptic curves in class 224400bt have rank \(2\).

Complex multiplication

The elliptic curves in class 224400bt do not have complex multiplication.

Modular form 224400.2.a.bt

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.