Properties

Base field \(\Q(\sqrt{233}) \)
Label 2.2.233.1-13.2-a
Conductor 13.2
Rank \( 1 \)

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Base field \(\Q(\sqrt{233}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 58 \); class number \(1\).

Elliptic curves in class 13.2-a over \(\Q(\sqrt{233}) \)

Isogeny class 13.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
13.2-a1 \( \bigl[a\) , \( -1\) , \( a + 1\) , \( 55 a - 404\) , \( 657 a - 5225\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph