Properties

Base field \(\Q(\sqrt{33}) \)
Label 2.2.33.1-363.1-f
Conductor 363.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{33}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 8 \); class number \(1\).

Elliptic curves in class 363.1-f over \(\Q(\sqrt{33}) \)

Isogeny class 363.1-f contains only one elliptic curve.

Curve label Weierstrass Coefficients
363.1-f1 \( \bigl[0\) , \( -a + 1\) , \( 1\) , \( 1349 a + 3204\) , \( -9684 a - 22972\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph