Elliptic curve isogeny class with Cremona label 28314y (LMFDB label 28314.q)

• Label: 28314y
• Number of curves: $2$
• Conductor: $28314$
• CM: no
• Rank: $0$

Elliptic curves in class 28314y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
28314.q2	28314y1	\([1, -1, 0, -567, -2403]\)	\(1890625/832\)	\(8880176448\)	\([]\)	\(20160\)	\(0.60475\)	\(\Gamma_0(N)\)-optimal
28314.q1	28314y2	\([1, -1, 0, -22347, 1291329]\)	\(115636266625/8788\)	\(93796863732\)	\([3]\)	\(60480\)	\(1.1541\)

Rank

The elliptic curves in class 28314y have rank \(0\).

Complex multiplication

The elliptic curves in class 28314y do not have complex multiplication.

Modular form 28314.2.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.