Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-115248.3-g
Conductor 115248.3
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 115248.3-g over \(\Q(\sqrt{-3}) \)

Isogeny class 115248.3-g contains only one elliptic curve.

Curve label Weierstrass Coefficients
115248.3-g1 \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -6403 a\) , \( 44463\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph