Elliptic curve isogeny class with LMFDB label 116886.w (Cremona label 116886p)

• Label: 116886.w
• Number of curves: $4$
• Conductor: $116886$
• CM: no
• Rank: $0$

Elliptic curves in class 116886.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
116886.w1	116886p4	\([1, 0, 1, -833935, 293040218]\)	\(36204575259448513/1527466248\)	\(2705999633773128\)	\([2]\)	\(1658880\)	\(2.0413\)
116886.w2	116886p2	\([1, 0, 1, -54695, 4098026]\)	\(10214075575873/1806590016\)	\(3200484415334976\)	\([2, 2]\)	\(829440\)	\(1.6947\)
116886.w3	116886p1	\([1, 0, 1, -15975, -718742]\)	\(254478514753/21762048\)	\(38552795516928\)	\([2]\)	\(414720\)	\(1.3481\)	\(\Gamma_0(N)\)-optimal
116886.w4	116886p3	\([1, 0, 1, 105025, 23583866]\)	\(72318867421247/177381135624\)	\(-314241502007189064\)	\([2]\)	\(1658880\)	\(2.0413\)

Rank

The elliptic curves in class 116886.w have rank \(0\).

Complex multiplication

The elliptic curves in class 116886.w do not have complex multiplication.

Modular form 116886.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.