Properties

Base field \(\Q(\sqrt{41}) \)
Label 2.2.41.1-86.1-b
Conductor 86.1
Rank \( 0 \)

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Base field \(\Q(\sqrt{41}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 10 \); class number \(1\).

Elliptic curves in class 86.1-b over \(\Q(\sqrt{41}) \)

Isogeny class 86.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
86.1-b1 \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 318 a - 1171\) , \( -12614 a + 46688\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph