Properties

Base field \(\Q(\sqrt{17}) \)
Label 2.2.17.1-144.4-b
Conductor 144.4
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{17}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 4 \); class number \(1\).

Elliptic curves in class 144.4-b over \(\Q(\sqrt{17}) \)

Isogeny class 144.4-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
144.4-b1 \( \bigl[0\) , \( -a + 1\) , \( a\) , \( -1\) , \( 2 a - 5\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph