Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-33124.6-b
Conductor 33124.6
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 33124.6-b over \(\Q(\sqrt{-3}) \)

Isogeny class 33124.6-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
33124.6-b1 \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -273 a + 172\) , \( -2311 a + 909\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph