Elliptic curve isogeny class with Cremona label 35280em (LMFDB label 35280.p)

• Label: 35280em
• Number of curves: $4$
• Conductor: $35280$
• CM: no
• Rank: $2$

Elliptic curves in class 35280em

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
35280.p3	35280em1	[0, 0, 0, -24843, 951482]	[2]	147456	\(\Gamma_0(N)\)-optimal
35280.p2	35280em2	[0, 0, 0, -165963, -25325062]	[2, 2]	294912
35280.p4	35280em3	[0, 0, 0, 45717, -85484518]	[2]	589824
35280.p1	35280em4	[0, 0, 0, -2635563, -1646864422]	[2]	589824

Rank

The elliptic curves in class 35280em have rank \(2\).

Complex multiplication

The elliptic curves in class 35280em do not have complex multiplication.

Modular form 35280.2.a.em

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.