Elliptic Curve Isogeny Class with Cremona label 91035bi (LMFDB label 91035.q)

• Label: 91035bi
• Number of curves: 4
• Conductor: 91035
• CM: no
• Rank: 1

Elliptic curves in class 91035bi

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
91035.q3	91035bi1	[1, -1, 1, -6557, -191964]	[2]	163840	\(\Gamma_0(N)\)-optimal
91035.q2	91035bi2	[1, -1, 1, -19562, 817224]	[2, 2]	327680
91035.q4	91035bi3	[1, -1, 1, 45463, 5056854]	[2]	655360
91035.q1	91035bi4	[1, -1, 1, -292667, 61009566]	[2]	655360

Rank

The elliptic curves in class 91035bi have rank \(1\).

Modular form 91035.2.a.q

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.