Elliptic curve isogeny class with Cremona label 7350bu (LMFDB label 7350.bo)

• Label: 7350bu
• Number of curves: $4$
• Conductor: $7350$
• CM: no
• Rank: $1$

Elliptic curves in class 7350bu

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
7350.bo3	7350bu1	[1, 1, 1, -4313, 67031]	[4]	18432	\(\Gamma_0(N)\)-optimal
7350.bo2	7350bu2	[1, 1, 1, -28813, -1843969]	[2, 2]	36864
7350.bo1	7350bu3	[1, 1, 1, -457563, -119321469]	[2]	73728
7350.bo4	7350bu4	[1, 1, 1, 7937, -6180469]	[2]	73728

Rank

The elliptic curves in class 7350bu have rank \(1\).

Complex multiplication

The elliptic curves in class 7350bu do not have complex multiplication.

Modular form 7350.2.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.

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

Isogeny graph

The vertices are labelled with Cremona labels.