Elliptic curve isogeny class with Cremona label 64009c (LMFDB label 64009.a)

• Label: 64009c
• Number of curves: $2$
• Conductor: $64009$
• CM: no
• Rank: $1$

Elliptic curves in class 64009c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
64009.a2	64009c1	\([1, 1, 1, -15881, 763720]\)	\(-24729001\)	\(-17912342569\)	\([]\)	\(75504\)	\(1.0498\)	\(\Gamma_0(N)\)-optimal
64009.a1	64009c2	\([1, 1, 1, -161356, -97589018]\)	\(-121\)	\(-3839669709179505289\)	\([]\)	\(830544\)	\(2.2487\)

Rank

The elliptic curves in class 64009c have rank \(1\).

Complex multiplication

The elliptic curves in class 64009c do not have complex multiplication.

Modular form 64009.2.a.c

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.

\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.