Elliptic curve isogeny class with Cremona label 302330g (LMFDB label 302330.g)

• Label: 302330g
• Number of curves: $2$
• Conductor: $302330$
• CM: no
• Rank: $1$

Elliptic curves in class 302330g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
302330.g1	302330g1	\([1, 1, 0, -80356693, -587950819987]\)	\(-487754906646816354619081/986928523547750000000\)	\(-116111153866869239750000000\)	\([]\)	\(85518720\)	\(3.6907\)	\(\Gamma_0(N)\)-optimal
302330.g2	302330g2	\([1, 1, 0, 694363932, 12630608359888]\)	\(314700137324290484459710919/767884119673361137664000\)	\(-90340798795451264485031936000\)	\([]\)	\(256556160\)	\(4.2400\)

Rank

The elliptic curves in class 302330g have rank \(1\).

Complex multiplication

The elliptic curves in class 302330g do not have complex multiplication.

Modular form 302330.2.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.