Properties

Base field \(\Q(\sqrt{26}) \)
Label 2.2.104.1-13.1-d
Conductor 13.1
Rank \( 0 \)

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 13.1-d over \(\Q(\sqrt{26}) \)

Isogeny class 13.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
13.1-d1 \( \bigl[a\) , \( 0\) , \( a\) , \( 51 a - 259\) , \( 561 a - 2857\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph