Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-49.3-CMa
Conductor 49.3
Rank not recorded

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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 49.3-CMa over \(\Q(\sqrt{-3}) \)

Isogeny class 49.3-CMa contains only one elliptic curve.

Curve label Weierstrass Coefficients
49.3-CMa1 \( \bigl[0\) , \( -a - 1\) , \( a + 1\) , \( a\) , \( -a\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph