Properties

Base field \(\Q(\sqrt{57}) \)
Label 2.2.57.1-144.3-r
Conductor 144.3
Rank \( 0 \)

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Base field \(\Q(\sqrt{57}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).

Elliptic curves in class 144.3-r over \(\Q(\sqrt{57}) \)

Isogeny class 144.3-r contains only one elliptic curve.

Curve label Weierstrass Coefficients
144.3-r1 \( \bigl[a\) , \( a\) , \( 0\) , \( -4161 a + 17814\) , \( 48435 a - 207030\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph