Elliptic curve isogeny class with LMFDB label 76230.fg (Cremona label 76230fe)

• Label: 76230.fg
• Number of curves: $4$
• Conductor: $76230$
• CM: no
• Rank: $0$

Elliptic curves in class 76230.fg

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
76230.fg1	76230fe4	[1, -1, 1, -291512, -60504551]	[2]	655360
76230.fg2	76230fe3	[1, -1, 1, -95492, 10637641]	[2]	655360
76230.fg3	76230fe2	[1, -1, 1, -19262, -827351]	[2, 2]	327680
76230.fg4	76230fe1	[1, -1, 1, 2518, -78119]	[2]	163840	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 76230.fg have rank \(0\).

Complex multiplication

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

Modular form 76230.2.a.fg

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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.