Elliptic curve isogeny class with LMFDB label 355570.w (Cremona label 355570w)

• Label: 355570.w
• Number of curves: $4$
• Conductor: $355570$
• CM: no
• Rank: $0$

Elliptic curves in class 355570.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
355570.w1	355570w3	\([1, 1, 1, -5069295, 4390970405]\)	\(16232905099479601/4052240\)	\(3596377916295440\)	\([2]\)	\(7983360\)	\(2.3605\)
355570.w2	355570w4	\([1, 1, 1, -5050075, 4425943117]\)	\(-16048965315233521/256572640900\)	\(-227709163242641152900\)	\([2]\)	\(15966720\)	\(2.7071\)
355570.w3	355570w1	\([1, 1, 1, -72095, 4043845]\)	\(46694890801/18944000\)	\(16812869732864000\)	\([2]\)	\(2661120\)	\(1.8112\)	\(\Gamma_0(N)\)-optimal
355570.w4	355570w2	\([1, 1, 1, 235425, 29752517]\)	\(1625964918479/1369000000\)	\(-1214992539289000000\)	\([2]\)	\(5322240\)	\(2.1578\)

Rank

The elliptic curves in class 355570.w have rank \(0\).

Complex multiplication

The elliptic curves in class 355570.w do not have complex multiplication.

Modular form 355570.2.a.w

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.