Elliptic curve isogeny class with Cremona label 348480qt (LMFDB label 348480.qt)

• Label: 348480qt
• Number of curves: $4$
• Conductor: $348480$
• CM: no
• Rank: $0$

Elliptic curves in class 348480qt

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
348480.qt4	348480qt1	[0, 0, 0, -197472, 33083336]	[2]	3317760	\(\Gamma_0(N)\)-optimal
348480.qt3	348480qt2	[0, 0, 0, -437052, -62844496]	[2]	6635520
348480.qt2	348480qt3	[0, 0, 0, -1939872, -1026818584]	[2]	9953280
348480.qt1	348480qt4	[0, 0, 0, -30929052, -66206090896]	[2]	19906560

Rank

The elliptic curves in class 348480qt have rank \(0\).

Complex multiplication

The elliptic curves in class 348480qt do not have complex multiplication.

Modular form 348480.2.a.qt

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.