Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-27225.4-d
Conductor 27225.4
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).

Elliptic curves in class 27225.4-d over \(\Q(\sqrt{-11}) \)

Isogeny class 27225.4-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
27225.4-d1 \( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 12 a - 8\) , \( -3 a + 8\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph