Properties

Base field \(\Q(\sqrt{241}) \)
Label 2.2.241.1-5.2-a
Conductor 5.2
Rank \( 1 \)

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Base field \(\Q(\sqrt{241}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 60 \); class number \(1\).

Elliptic curves in class 5.2-a over \(\Q(\sqrt{241}) \)

Isogeny class 5.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
5.2-a1 \( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -48 a - 218\) , \( -376 a - 2375\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph