Properties

Base field \(\Q(\sqrt{23}) \)
Label 2.2.92.1-26.2-c
Conductor 26.2
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{23}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 23 \); class number \(1\).

Elliptic curves in class 26.2-c over \(\Q(\sqrt{23}) \)

Isogeny class 26.2-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
26.2-c1 \( \bigl[1\) , \( 0\) , \( 0\) , \( -25 a - 120\) , \( -152 a - 729\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph