Properties

Base field \(\Q(\sqrt{41}) \)
Label 2.2.41.1-576.1-e
Conductor 576.1
Rank \( 0 \)

Related objects

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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 576.1-e over \(\Q(\sqrt{41}) \)

Isogeny class 576.1-e contains only one elliptic curve.

Curve label Weierstrass Coefficients
576.1-e1 \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 109 a - 402\) , \( -981 a + 3631\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph