Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-100101.3-b
Conductor 100101.3
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-3}) \)

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

Elliptic curves in class 100101.3-b over \(\Q(\sqrt{-3}) \)

Isogeny class 100101.3-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
100101.3-b1 \( \bigl[1\) , \( 1\) , \( 0\) , \( -2 a + 8\) , \( -11 a + 22\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph