Properties

Base field \(\Q(\sqrt{37}) \)
Label 2.2.37.1-324.3-a
Conductor 324.3
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 324.3-a over \(\Q(\sqrt{37}) \)

Isogeny class 324.3-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
324.3-a1 \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -757 a - 1934\) , \( 31065 a + 78933\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph