Elliptic curve isogeny class with LMFDB label 1310.c (Cremona label 1310c)

• Label: 1310.c
• Number of curves: $2$
• Conductor: $1310$
• CM: no
• Rank: $0$

Elliptic curves in class 1310.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1310.c1	1310c1	\([1, 1, 1, -95, 357]\)	\(-94881210481/13100000\)	\(-13100000\)	\([5]\)	\(260\)	\(0.097390\)	\(\Gamma_0(N)\)-optimal
1310.c2	1310c2	\([1, 1, 1, -45, -29903]\)	\(-10091699281/385794896510\)	\(-385794896510\)	\([]\)	\(1300\)	\(0.90211\)

Rank

The elliptic curves in class 1310.c have rank \(0\).

Complex multiplication

The elliptic curves in class 1310.c do not have complex multiplication.

Modular form 1310.2.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 LMFDB numbering.

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.