Elliptic curve isogeny class with Cremona label 26010i (LMFDB label 26010.j)

• Label: 26010i
• Number of curves: $2$
• Conductor: $26010$
• CM: no
• Rank: $0$

Elliptic curves in class 26010i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
26010.j1	26010i1	\([1, -1, 0, -360, -3200]\)	\(-24529249/8000\)	\(-1685448000\)	\([]\)	\(12960\)	\(0.48296\)	\(\Gamma_0(N)\)-optimal
26010.j2	26010i2	\([1, -1, 0, 2700, 29236]\)	\(10329972191/7812500\)	\(-1645945312500\)	\([]\)	\(38880\)	\(1.0323\)

Rank

The elliptic curves in class 26010i have rank \(0\).

Complex multiplication

The elliptic curves in class 26010i do not have complex multiplication.

Modular form 26010.2.a.i

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.