Elliptic curve isogeny class with Cremona label 23104u (LMFDB label 23104.i)

• Label: 23104u
• Number of curves: $3$
• Conductor: $23104$
• CM: no
• Rank: $2$

Elliptic curves in class 23104u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
23104.i3	23104u1	\([0, 1, 0, 963, 829]\)	\(32768/19\)	\(-57207791296\)	\([]\)	\(17280\)	\(0.75362\)	\(\Gamma_0(N)\)-optimal
23104.i2	23104u2	\([0, 1, 0, -13477, 636189]\)	\(-89915392/6859\)	\(-20652012657856\)	\([]\)	\(51840\)	\(1.3029\)
23104.i1	23104u3	\([0, 1, 0, -1110917, 450312229]\)	\(-50357871050752/19\)	\(-57207791296\)	\([]\)	\(155520\)	\(1.8522\)

Rank

The elliptic curves in class 23104u have rank \(2\).

Complex multiplication

The elliptic curves in class 23104u do not have complex multiplication.

Modular form 23104.2.a.u

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.

\(\left(\begin{array}{rrr} 1 & 3 & 9 \\ 3 & 1 & 3 \\ 9 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.