Properties

Base field \(\Q(\sqrt{61}) \)
Label 2.2.61.1-61.1-a
Conductor 61.1
Rank not recorded

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Base field \(\Q(\sqrt{61}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 15 \); class number \(1\).

Elliptic curves in class 61.1-a over \(\Q(\sqrt{61}) \)

Isogeny class 61.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
61.1-a1 \( \bigl[1\) , \( 0\) , \( 0\) , \( -2\) , \( 1\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph