Elliptic curve isogeny class with LMFDB label 1470.g (Cremona label 1470h)

• Label: 1470.g
• Number of curves: $4$
• Conductor: $1470$
• CM: no
• Rank: $0$

Elliptic curves in class 1470.g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
1470.g1	1470h3	[1, 0, 1, -18303, -954572]	[2]	3072
1470.g2	1470h2	[1, 0, 1, -1153, -14752]	[2, 2]	1536
1470.g3	1470h1	[1, 0, 1, -173, 536]	[2]	768	\(\Gamma_0(N)\)-optimal
1470.g4	1470h4	[1, 0, 1, 317, -49444]	[2]	3072

Rank

The elliptic curves in class 1470.g have rank \(0\).

Complex multiplication

The elliptic curves in class 1470.g do not have complex multiplication.

Modular form 1470.2.a.g

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.