Properties

Base field \(\Q(\sqrt{-163}) \)
Label 2.0.163.1-593.1-a
Conductor 593.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{-163}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 41 \); class number \(1\).

Elliptic curves in class 593.1-a over \(\Q(\sqrt{-163}) \)

Isogeny class 593.1-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
593.1-a1 \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 46\) , \( -3 a - 14\bigr] \)
593.1-a2 \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 51\) , \( -4 a - 29\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph