Elliptic curve isogeny class with LMFDB label 388416.hs (Cremona label 388416hs)

• Label: 388416.hs
• Number of curves: $2$
• Conductor: $388416$
• CM: no
• Rank: $0$

Elliptic curves in class 388416.hs

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
388416.hs1	388416hs2	\([0, 1, 0, -6742177, -155058433]\)	\(42852953779784/24786408969\)	\(19604558864431722037248\)	\([2]\)	\(26542080\)	\(2.9670\)
388416.hs2	388416hs1	\([0, 1, 0, 1685063, -18537145]\)	\(5352028359488/3098832471\)	\(-306373765481279483904\)	\([2]\)	\(13271040\)	\(2.6204\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 388416.hs have rank \(0\).

Complex multiplication

The elliptic curves in class 388416.hs do not have complex multiplication.

Modular form 388416.2.a.hs

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.