Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-15876.4-a
Conductor 15876.4
Rank \( 0 \)

Related objects

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

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

Elliptic curves in class 15876.4-a over \(\Q(\sqrt{-11}) \)

Isogeny class 15876.4-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
15876.4-a1 \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 7 a - 74\) , \( 40 a - 226\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph