Elliptic curve isogeny class with Cremona label 458640hk (LMFDB label 458640.hk)

• Label: 458640hk
• Number of curves: $2$
• Conductor: $458640$
• CM: no
• Rank: $0$

Elliptic curves in class 458640hk

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
458640.hk1	458640hk1	\([0, 0, 0, -210063, -34277362]\)	\(46689225424/3901625\)	\(85664573912736000\)	\([2]\)	\(5308416\)	\(1.9910\)	\(\Gamma_0(N)\)-optimal
458640.hk2	458640hk2	\([0, 0, 0, 222117, -157102918]\)	\(13799183324/129390625\)	\(-11363667968016000000\)	\([2]\)	\(10616832\)	\(2.3376\)

Rank

The elliptic curves in class 458640hk have rank \(0\).

Complex multiplication

The elliptic curves in class 458640hk do not have complex multiplication.

Modular form 458640.2.a.hk

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.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.