Elliptic curve isogeny class with Cremona label 286110fy (LMFDB label 286110.fy)

• Label: 286110fy
• Number of curves: $4$
• Conductor: $286110$
• CM: no
• Rank: $0$

Elliptic curves in class 286110fy

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
286110.fy3	286110fy1	\([1, -1, 1, -114177452, -794738564049]\)	\(-9354997870579612441/10093752054144000\)	\(-177612566136652758697344000\)	\([2]\)	\(106168320\)	\(3.7317\)	\(\Gamma_0(N)\)-optimal
286110.fy2	286110fy2	\([1, -1, 1, -2158771532, -38591922564561]\)	\(63229930193881628103961/26218934428500000\)	\(461355916039433456728500000\)	\([2]\)	\(212336640\)	\(4.0783\)
286110.fy4	286110fy3	\([1, -1, 1, 956979373, 14353854413811]\)	\(5508208700580085578359/8246033269590589440\)	\(-145099574628337033227471421440\)	\([2]\)	\(318504960\)	\(4.2810\)
286110.fy1	286110fy4	\([1, -1, 1, -6287533907, 144230590692339]\)	\(1562225332123379392365961/393363080510106009600\)	\(6921729974943759233941268889600\)	\([2]\)	\(637009920\)	\(4.6276\)

Rank

The elliptic curves in class 286110fy have rank \(0\).

Complex multiplication

The elliptic curves in class 286110fy do not have complex multiplication.

Modular form 286110.2.a.fy

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.