Properties

Base field \(\Q(\sqrt{46}) \)
Label 2.2.184.1-8.1-a
Conductor 8.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{46}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 46 \); class number \(1\).

Elliptic curves in class 8.1-a over \(\Q(\sqrt{46}) \)

Isogeny class 8.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
8.1-a1 \( \bigl[0\) , \( 1\) , \( 0\) , \( -1196 a + 8112\) , \( -140998 a + 956295\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph