Elliptic curve isogeny class with Cremona label 154800di (LMFDB label 154800.fy)

• Label: 154800di
• Number of curves: $4$
• Conductor: $154800$
• CM: no
• Rank: $1$

Elliptic curves in class 154800di

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
154800.fy3	154800di1	[0, 0, 0, -246675, -47096750]	[2]	884736	\(\Gamma_0(N)\)-optimal
154800.fy2	154800di2	[0, 0, 0, -318675, -17360750]	[2, 2]	1769472
154800.fy1	154800di3	[0, 0, 0, -3018675, 2004939250]	[2]	3538944
154800.fy4	154800di4	[0, 0, 0, 1229325, -136556750]	[2]	3538944

Rank

The elliptic curves in class 154800di have rank \(1\).

Complex multiplication

The elliptic curves in class 154800di do not have complex multiplication.

Modular form 154800.2.a.di

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.