Elliptic curve isogeny class with LMFDB label 179088.y (Cremona label 179088bq)

• Label: 179088.y
• Number of curves: $4$
• Conductor: $179088$
• CM: no
• Rank: $2$

Elliptic curves in class 179088.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
179088.y1	179088bq3	\([0, -1, 0, -58945552, 174210232768]\)	\(5529895044677685547285393/1658533968\)	\(6793355132928\)	\([2]\)	\(8257536\)	\(2.7337\)
179088.y2	179088bq4	\([0, -1, 0, -3800592, 2541689280]\)	\(1482236924759943084433/177107469272815536\)	\(725432194141452435456\)	\([2]\)	\(8257536\)	\(2.7337\)
179088.y3	179088bq2	\([0, -1, 0, -3684112, 2722932160]\)	\(1350088866691276036753/23380861061376\)	\(95768006907396096\)	\([2, 2]\)	\(4128768\)	\(2.3871\)
179088.y4	179088bq1	\([0, -1, 0, -222992, 45409728]\)	\(-299387428352690833/43513123110912\)	\(-178229752262295552\)	\([2]\)	\(2064384\)	\(2.0406\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 179088.y have rank \(2\).

Complex multiplication

The elliptic curves in class 179088.y do not have complex multiplication.

Modular form 179088.2.a.y

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.