Elliptic Curve Isogeny Class with Cremona label 900e (LMFDB label 900.b)

• Label: 900e
• Number of curves: 4
• Conductor: 900
• CM: no
• Rank: 1

Elliptic curves in class 900e

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
900.b3	900e1	[0, 0, 0, -300, -1375]	[2]	288	\(\Gamma_0(N)\)-optimal
900.b4	900e2	[0, 0, 0, 825, -9250]	[2]	576
900.b1	900e3	[0, 0, 0, -9300, 345125]	[2]	864
900.b2	900e4	[0, 0, 0, -8175, 431750]	[2]	1728

Rank

The elliptic curves in class 900e have rank \(1\).

Modular form 900.2.a.b

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.