Elliptic curve isogeny class with Cremona label 1210c (LMFDB label 1210.e)

• Label: 1210c
• Number of curves: $2$
• Conductor: $1210$
• CM: no
• Rank: $0$

Elliptic curves in class 1210c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1210.e1	1210c1	\([1, 0, 1, -124, -1454]\)	\(-117649/440\)	\(-779486840\)	\([]\)	\(480\)	\(0.39184\)	\(\Gamma_0(N)\)-optimal
1210.e2	1210c2	\([1, 0, 1, 1086, 34362]\)	\(80062991/332750\)	\(-589486922750\)	\([]\)	\(1440\)	\(0.94115\)

Rank

The elliptic curves in class 1210c have rank \(0\).

Complex multiplication

The elliptic curves in class 1210c do not have complex multiplication.

Modular form 1210.2.a.c

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.