Elliptic curve isogeny class with Cremona label 4840g (LMFDB label 4840.f)

• Label: 4840g
• Number of curves: $4$
• Conductor: $4840$
• CM: no
• Rank: $0$

Elliptic curves in class 4840g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4840.f3	4840g1	\([0, 0, 0, -242, -1331]\)	\(55296/5\)	\(141724880\)	\([2]\)	\(1280\)	\(0.30359\)	\(\Gamma_0(N)\)-optimal
4840.f2	4840g2	\([0, 0, 0, -847, 7986]\)	\(148176/25\)	\(11337990400\)	\([2, 2]\)	\(2560\)	\(0.65016\)
4840.f1	4840g3	\([0, 0, 0, -12947, 567006]\)	\(132304644/5\)	\(9070392320\)	\([2]\)	\(5120\)	\(0.99673\)
4840.f4	4840g4	\([0, 0, 0, 1573, 45254]\)	\(237276/625\)	\(-1133799040000\)	\([2]\)	\(5120\)	\(0.99673\)

Rank

The elliptic curves in class 4840g have rank \(0\).

Complex multiplication

The elliptic curves in class 4840g do not have complex multiplication.

Modular form 4840.2.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 Cremona 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 Cremona labels.