Elliptic curve isogeny class with Cremona label 275880y (LMFDB label 275880.y)

• Label: 275880y
• Number of curves: $4$
• Conductor: $275880$
• CM: no
• Rank: $0$

Elliptic curves in class 275880y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
275880.y4	275880y1	\([0, -1, 0, -11535, -928200]\)	\(-5988775936/9774075\)	\(-277045921297200\)	\([2]\)	\(737280\)	\(1.4623\)	\(\Gamma_0(N)\)-optimal
275880.y3	275880y2	\([0, -1, 0, -229940, -42337788]\)	\(2964647793616/2030625\)	\(920928270240000\)	\([2, 2]\)	\(1474560\)	\(1.8088\)
275880.y2	275880y3	\([0, -1, 0, -275920, -24148100]\)	\(1280615525284/601171875\)	\(1090572951600000000\)	\([2]\)	\(2949120\)	\(2.1554\)
275880.y1	275880y4	\([0, -1, 0, -3678440, -2714235588]\)	\(3034301922374404/1425\)	\(2585061811200\)	\([2]\)	\(2949120\)	\(2.1554\)

Rank

The elliptic curves in class 275880y have rank \(0\).

Complex multiplication

The elliptic curves in class 275880y do not have complex multiplication.

Modular form 275880.2.a.y

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.