Properties

Base field \(\Q(\sqrt{26}) \)
Label 2.2.104.1-8.1-b
Conductor 8.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{26}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 26 \); class number \(2\).

Elliptic curves in class 8.1-b over \(\Q(\sqrt{26}) \)

Isogeny class 8.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
8.1-b1 \( \bigl[a\) , \( a\) , \( 0\) , \( 5 a + 26\) , \( 10 a + 51\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph