Properties

Base field \(\Q(\sqrt{37}) \)
Label 2.2.37.1-324.1-l
Conductor 324.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{37}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 9 \); class number \(1\).

Elliptic curves in class 324.1-l over \(\Q(\sqrt{37}) \)

Isogeny class 324.1-l contains only one elliptic curve.

Curve label Weierstrass Coefficients
324.1-l1 \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( -5 a + 22\) , \( -31 a + 114\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph