Properties

Base field \(\Q(\sqrt{3}) \)
Label 2.2.12.1-392.1-b
Conductor 392.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{3}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).

Elliptic curves in class 392.1-b over \(\Q(\sqrt{3}) \)

Isogeny class 392.1-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
392.1-b1 \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -a + 1\) , \( -8 a - 13\bigr] \)
392.1-b2 \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -41 a - 69\) , \( -198 a - 343\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph