Elliptic curve isogeny class with Cremona label 235340i (LMFDB label 235340.i)

• Label: 235340i
• Number of curves: $2$
• Conductor: $235340$
• CM: no
• Rank: $0$

Elliptic curves in class 235340i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
235340.i2	235340i1	\([0, -1, 0, 14, -735]\)	\(10496/8575\)	\(-230633200\)	\([]\)	\(69552\)	\(0.28372\)	\(\Gamma_0(N)\)-optimal
235340.i1	235340i2	\([0, -1, 0, -5726, -164899]\)	\(-772086379264/109375\)	\(-2941750000\)	\([]\)	\(208656\)	\(0.83302\)

Rank

The elliptic curves in class 235340i have rank \(0\).

Complex multiplication

The elliptic curves in class 235340i do not have complex multiplication.

Modular form 235340.2.a.i

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.