Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-19200.4-bf
Conductor 19200.4
Rank \( 0 \)

Related objects

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 19200.4-bf over \(\Q(\sqrt{-11}) \)

Isogeny class 19200.4-bf contains only one elliptic curve.

Curve label Weierstrass Coefficients
19200.4-bf1 \( \bigl[0\) , \( -a\) , \( 0\) , \( 16 a + 8\) , \( -32 a - 64\bigr] \)