Properties

Base field \(\Q(\sqrt{26}) \)
Label 2.2.104.1-10.2-d
Conductor 10.2
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 10.2-d over \(\Q(\sqrt{26}) \)

Isogeny class 10.2-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
10.2-d1 \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -368 a - 1872\) , \( 6871 a + 35033\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph