Elliptic curve isogeny class with Cremona label 232760l (LMFDB label 232760.l)

• Label: 232760l
• Number of curves: $4$
• Conductor: $232760$
• CM: no
• Rank: $1$

Elliptic curves in class 232760l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
232760.l3	232760l1	\([0, 0, 0, -2667218, -1676624767]\)	\(885956203616256/15125\)	\(35824685138000\)	\([2]\)	\(3548160\)	\(2.1427\)	\(\Gamma_0(N)\)-optimal
232760.l2	232760l2	\([0, 0, 0, -2669863, -1673132838]\)	\(55537159171536/228765625\)	\(8669573803396000000\)	\([2, 2]\)	\(7096320\)	\(2.4893\)
232760.l1	232760l3	\([0, 0, 0, -3992363, 158000662]\)	\(46424454082884/26794860125\)	\(4061799361776666752000\)	\([2]\)	\(14192640\)	\(2.8359\)
232760.l4	232760l4	\([0, 0, 0, -1389683, -3280782882]\)	\(-1957960715364/29541015625\)	\(-4478085642250000000000\)	\([2]\)	\(14192640\)	\(2.8359\)

Rank

The elliptic curves in class 232760l have rank \(1\).

Complex multiplication

The elliptic curves in class 232760l do not have complex multiplication.

Modular form 232760.2.a.l

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.