Elliptic curve isogeny class with Cremona label 1360e (LMFDB label 1360.g)

• Label: 1360e
• Number of curves: $2$
• Conductor: $1360$
• CM: no
• Rank: $1$

Elliptic curves in class 1360e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1360.g1	1360e1	\([0, 0, 0, -28, -57]\)	\(151732224/85\)	\(1360\)	\([2]\)	\(96\)	\(-0.45155\)	\(\Gamma_0(N)\)-optimal
1360.g2	1360e2	\([0, 0, 0, -23, -78]\)	\(-5256144/7225\)	\(-1849600\)	\([2]\)	\(192\)	\(-0.10497\)

Rank

The elliptic curves in class 1360e have rank \(1\).

Complex multiplication

The elliptic curves in class 1360e do not have complex multiplication.

Modular form 1360.2.a.e

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.