Elliptic curve isogeny class with Cremona label 388531g (LMFDB label 388531.g)

• Label: 388531g
• Number of curves: $2$
• Conductor: $388531$
• CM: no
• Rank: $1$

Elliptic curves in class 388531g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
388531.g1	388531g1	\([0, 1, 1, -558939, -188283221]\)	\(-2258403328/480491\)	\(-4108672092257734859\)	\([]\)	\(6635520\)	\(2.2930\)	\(\Gamma_0(N)\)-optimal
388531.g2	388531g2	\([0, 1, 1, 3939841, 1089145360]\)	\(790939860992/517504691\)	\(-4425175667232398880659\)	\([]\)	\(19906560\)	\(2.8423\)

Rank

The elliptic curves in class 388531g have rank \(1\).

Complex multiplication

The elliptic curves in class 388531g do not have complex multiplication.

Modular form 388531.2.a.g

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.