Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-256.1-CMb
Conductor 256.1
Rank \( 0 \)

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 256.1-CMb over \(\Q(\sqrt{-11}) \)

Isogeny class 256.1-CMb contains only one elliptic curve.

Curve label Weierstrass Coefficients
256.1-CMb1 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 10\) , \( 12 a - 1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph