Elliptic Curve Isogeny Class with LMFDB label 225.a (Cremona label 225e)

• Label: 225.a
• Number of curves: 2
• Conductor: 225
• CM: no
• Rank: 1

Elliptic curves in class 225.a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
225.a1	225e1	[0, 0, 1, -75, 256]	[]	48	\(\Gamma_0(N)\)-optimal
225.a2	225e2	[0, 0, 1, 375, -12344]	[]	240

Rank

The elliptic curves in class 225.a have rank \(1\).

Modular form 225.2.a.a

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 LMFDB numbering.

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.