Elliptic curve isogeny class with Cremona label 176400sa (LMFDB label 176400.rg)

• Label: 176400sa
• Number of curves: $2$
• Conductor: $176400$
• CM: no
• Rank: $1$

Elliptic curves in class 176400sa

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
176400.rg2	176400sa1	\([0, 0, 0, -6615, -463050]\)	\(-432\)	\(-74101928544000\)	\([2]\)	\(442368\)	\(1.3498\)	\(\Gamma_0(N)\)-optimal
176400.rg1	176400sa2	\([0, 0, 0, -138915, -19911150]\)	\(1000188\)	\(296407714176000\)	\([2]\)	\(884736\)	\(1.6963\)

Rank

The elliptic curves in class 176400sa have rank \(1\).

Complex multiplication

The elliptic curves in class 176400sa do not have complex multiplication.

Modular form 176400.2.a.sa

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.