Elliptic curve isogeny class with Cremona label 76230cl (LMFDB label 76230.ci)

• Label: 76230cl
• Number of curves: $4$
• Conductor: $76230$
• CM: no
• Rank: $1$

Elliptic curves in class 76230cl

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
76230.ci3	76230cl1	[1, -1, 0, -3834, -56732]	[2]	163840	\(\Gamma_0(N)\)-optimal
76230.ci2	76230cl2	[1, -1, 0, -25614, 1541920]	[2, 2]	327680
76230.ci4	76230cl3	[1, -1, 0, 7056, 5181358]	[2]	655360
76230.ci1	76230cl4	[1, -1, 0, -406764, 99954850]	[2]	655360

Rank

The elliptic curves in class 76230cl have rank \(1\).

Complex multiplication

The elliptic curves in class 76230cl do not have complex multiplication.

Modular form 76230.2.a.cl

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.