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 \(0\).

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.