Properties

Base field \(\Q(\sqrt{17}) \)
Label 2.2.17.1-576.6-o
Conductor 576.6
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 576.6-o over \(\Q(\sqrt{17}) \)

Isogeny class 576.6-o contains only one elliptic curve.

Curve label Weierstrass Coefficients
576.6-o1 \( \bigl[0\) , \( 1\) , \( a + 1\) , \( -a\) , \( -6\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph