Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-784.3-CMa
Conductor 784.3
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 784.3-CMa over \(\Q(\sqrt{-3}) \)

Isogeny class 784.3-CMa contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
784.3-CMa1 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a\) , \( 2 a + 2\bigr] \)
784.3-CMa2 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -14 a - 25\) , \( 67 a + 45\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph