Elliptic curve isogeny class with LMFDB label 308550.dy (Cremona label 308550dy)

• Label: 308550.dy
• Number of curves: $4$
• Conductor: $308550$
• CM: no
• Rank: $1$

Elliptic curves in class 308550.dy

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
308550.dy1	308550dy4	\([1, 0, 1, -36204776, -83851826302]\)	\(189602977175292169/1402500\)	\(38822098476562500\)	\([2]\)	\(23592960\)	\(2.7782\)
308550.dy2	308550dy3	\([1, 0, 1, -3171776, -161450302]\)	\(127483771761289/73369857660\)	\(2030924662593863437500\)	\([2]\)	\(23592960\)	\(2.7782\)
308550.dy3	308550dy2	\([1, 0, 1, -2264276, -1308530302]\)	\(46380496070089/125888400\)	\(3484671559256250000\)	\([2, 2]\)	\(11796480\)	\(2.4316\)
308550.dy4	308550dy1	\([1, 0, 1, -86276, -36578302]\)	\(-2565726409/19388160\)	\(-536676689340000000\)	\([2]\)	\(5898240\)	\(2.0850\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 308550.dy have rank \(1\).

Complex multiplication

The elliptic curves in class 308550.dy do not have complex multiplication.

Modular form 308550.2.a.dy

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 LMFDB numbering.

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.