Elliptic curve isogeny class with Cremona label 18050y (LMFDB label 18050.o)

• Label: 18050y
• Number of curves: $4$
• Conductor: $18050$
• CM: no
• Rank: $0$

Elliptic curves in class 18050y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
18050.o3	18050y1	\([1, 1, 1, -188, 11631]\)	\(-25/2\)	\(-58807351250\)	\([]\)	\(13500\)	\(0.74612\)	\(\Gamma_0(N)\)-optimal
18050.o1	18050y2	\([1, 1, 1, -45313, 3693831]\)	\(-349938025/8\)	\(-235229405000\)	\([]\)	\(40500\)	\(1.2954\)
18050.o2	18050y3	\([1, 1, 1, -27263, -2100219]\)	\(-121945/32\)	\(-588073512500000\)	\([]\)	\(67500\)	\(1.5508\)
18050.o4	18050y4	\([1, 1, 1, 198362, 15498531]\)	\(46969655/32768\)	\(-602187276800000000\)	\([]\)	\(202500\)	\(2.1001\)

Rank

The elliptic curves in class 18050y have rank \(0\).

Complex multiplication

The elliptic curves in class 18050y do not have complex multiplication.

Modular form 18050.2.a.y

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.

\(\left(\begin{array}{rrrr} 1 & 3 & 5 & 15 \\ 3 & 1 & 15 & 5 \\ 5 & 15 & 1 & 3 \\ 15 & 5 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.