Elliptic curve isogeny class with Cremona label 31680cc (LMFDB label 31680.b)

• Label: 31680cc
• Number of curves: $2$
• Conductor: $31680$
• CM: no
• Rank: $2$

Elliptic curves in class 31680cc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
31680.b1	31680cc1	\([0, 0, 0, -1068, 13392]\)	\(76136652/275\)	\(486604800\)	\([2]\)	\(20480\)	\(0.52802\)	\(\Gamma_0(N)\)-optimal
31680.b2	31680cc2	\([0, 0, 0, -588, 25488]\)	\(-6353046/75625\)	\(-267632640000\)	\([2]\)	\(40960\)	\(0.87460\)

Rank

The elliptic curves in class 31680cc have rank \(2\).

Complex multiplication

The elliptic curves in class 31680cc do not have complex multiplication.

Modular form 31680.2.a.cc

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.