Properties

Base field \(\Q(\sqrt{37}) \)
Label 2.2.37.1-324.3-e
Conductor 324.3
Rank \( 1 \)

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 324.3-e over \(\Q(\sqrt{37}) \)

Isogeny class 324.3-e contains only one elliptic curve.

Curve label Weierstrass Coefficients
324.3-e1 \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -8 a - 44\) , \( 14 a + 65\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph