Elliptic curve isogeny class with Cremona label 14700y (LMFDB label 14700.y)

• Label: 14700y
• Number of curves: $2$
• Conductor: $14700$
• CM: no
• Rank: $0$

Elliptic curves in class 14700y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
14700.y2	14700y1	\([0, -1, 0, -16333, 1180537]\)	\(-40960/27\)	\(-317652300000000\)	\([]\)	\(68040\)	\(1.4836\)	\(\Gamma_0(N)\)-optimal
14700.y1	14700y2	\([0, -1, 0, -1486333, 697960537]\)	\(-30866268160/3\)	\(-35294700000000\)	\([]\)	\(204120\)	\(2.0329\)

Rank

The elliptic curves in class 14700y have rank \(0\).

Complex multiplication

The elliptic curves in class 14700y do not have complex multiplication.

Modular form 14700.2.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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.