Elliptic curve isogeny class with LMFDB label 244800.iu (Cremona label 244800iu)

• Label: 244800.iu
• Number of curves: $4$
• Conductor: $244800$
• CM: no
• Rank: $2$

Elliptic curves in class 244800.iu

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
244800.iu1	244800iu3	\([0, 0, 0, -64886700, 201177326000]\)	\(40472803590982276/281883375\)	\(210424811904000000000\)	\([2]\)	\(21233664\)	\(3.0794\)
244800.iu2	244800iu2	\([0, 0, 0, -4136700, 3010826000]\)	\(41948679809104/3291890625\)	\(614345796000000000000\)	\([2, 2]\)	\(10616832\)	\(2.7329\)
244800.iu3	244800iu1	\([0, 0, 0, -856200, -249991000]\)	\(5951163357184/1129312125\)	\(13172296626000000000\)	\([2]\)	\(5308416\)	\(2.3863\)	\(\Gamma_0(N)\)-optimal
244800.iu4	244800iu4	\([0, 0, 0, 4125300, 13536614000]\)	\(10400706415004/112060546875\)	\(-83652750000000000000000\)	\([2]\)	\(21233664\)	\(3.0794\)

Rank

The elliptic curves in class 244800.iu have rank \(2\).

Complex multiplication

The elliptic curves in class 244800.iu do not have complex multiplication.

Modular form 244800.2.a.iu

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.