Elliptic curve isogeny class with LMFDB label 76440.g (Cremona label 76440f)

• Label: 76440.g
• Number of curves: $4$
• Conductor: $76440$
• CM: no
• Rank: $0$

Elliptic curves in class 76440.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
76440.g1	76440f4	\([0, -1, 0, -27518416, 55571863516]\)	\(19129597231400697604/26325\)	\(3171440563200\)	\([2]\)	\(1769472\)	\(2.5651\)
76440.g2	76440f2	\([0, -1, 0, -1719916, 868724116]\)	\(18681746265374416/693005625\)	\(20872043206560000\)	\([2, 2]\)	\(884736\)	\(2.2185\)
76440.g3	76440f3	\([0, -1, 0, -1640536, 952454140]\)	\(-4053153720264484/903687890625\)	\(-108869608083600000000\)	\([2]\)	\(1769472\)	\(2.5651\)
76440.g4	76440f1	\([0, -1, 0, -112471, 12277420]\)	\(83587439220736/13990184325\)	\(26334899130430800\)	\([2]\)	\(442368\)	\(1.8719\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 76440.g have rank \(0\).

Complex multiplication

The elliptic curves in class 76440.g do not have complex multiplication.

Modular form 76440.2.a.g

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.