Properties

Base field \(\Q(\sqrt{37}) \)
Label 2.2.37.1-324.1-a
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 \(1\).

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph

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

Isogeny class 324.1-a contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
324.1-a1 \( \bigl[1\) , \( -1\) , \( a + 1\) , \( -23171 a - 58892\) , \( 5055297 a + 12847448\bigr] \)
324.1-a2 \( \bigl[1\) , \( -1\) , \( a + 1\) , \( -491 a - 1247\) , \( -34662 a - 88090\bigr] \)