Elliptic curve isogeny class with Cremona label 455175r (LMFDB label 455175.r)

• Label: 455175r
• Number of curves: $2$
• Conductor: $455175$
• CM: no
• Rank: $0$

Elliptic curves in class 455175r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
455175.r2	455175r1	\([0, 0, 1, 108375, 19191406]\)	\(4096/7\)	\(-240574247279296875\)	\([]\)	\(5280000\)	\(2.0201\)	\(\Gamma_0(N)\)-optimal
455175.r1	455175r2	\([0, 0, 1, -9645375, -11587771094]\)	\(-2887553024/16807\)	\(-577618767717591796875\)	\([]\)	\(26400000\)	\(2.8248\)

Rank

The elliptic curves in class 455175r have rank \(0\).

Complex multiplication

The elliptic curves in class 455175r do not have complex multiplication.

Modular form 455175.2.a.r

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.