Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-149769.3-CMb
Conductor 149769.3
Rank \( 2 \)

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 149769.3-CMb over \(\Q(\sqrt{-3}) \)

Isogeny class 149769.3-CMb contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
149769.3-CMb1 \( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( -390 a + 53\bigr] \)
149769.3-CMb2 \( \bigl[0\) , \( a + 1\) , \( 1\) , \( 481 a - 350\) , \( 3858 a - 776\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph