Elliptic curve isogeny class with Cremona label 17424bu (LMFDB label 17424.s)

• Label: 17424bu
• Number of curves: $2$
• Conductor: $17424$
• CM: no
• Rank: $0$

Elliptic curves in class 17424bu

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
17424.s2	17424bu1	[0, 0, 0, -4323, -109406]	[]	9216	\(\Gamma_0(N)\)-optimal
17424.s1	17424bu2	[0, 0, 0, -43923, 13850386]	[]	101376

Rank

The elliptic curves in class 17424bu have rank \(0\).

Complex multiplication

The elliptic curves in class 17424bu do not have complex multiplication.

Modular form 17424.2.a.bu

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.

\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.