Elliptic curve isogeny class with Cremona label 5265j (LMFDB label 5265.i)

• Label: 5265j
• Number of curves: $2$
• Conductor: $5265$
• CM: no
• Rank: $1$

Elliptic curves in class 5265j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5265.i2	5265j1	\([0, 0, 1, -282, 1812]\)	\(30618648576/203125\)	\(16453125\)	\([3]\)	\(1296\)	\(0.21990\)	\(\Gamma_0(N)\)-optimal
5265.i1	5265j2	\([0, 0, 1, -1782, -27763]\)	\(1177583616/54925\)	\(29189396925\)	\([]\)	\(3888\)	\(0.76921\)

Rank

The elliptic curves in class 5265j have rank \(1\).

Complex multiplication

The elliptic curves in class 5265j do not have complex multiplication.

Modular form 5265.2.a.j

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.