Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-126976.1-g
Conductor 126976.1
Rank \( 0 \)

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 126976.1-g over \(\Q(\sqrt{-3}) \)

Isogeny class 126976.1-g contains only one elliptic curve.

Curve label Weierstrass Coefficients
126976.1-g1 \( \bigl[0\) , \( 1\) , \( 0\) , \( -4 a - 21\) , \( -12 a - 61\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph