Properties

Base field \(\Q(\sqrt{21}) \)
Label 2.2.21.1-1792.1-q
Conductor 1792.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{21}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).

Elliptic curves in class 1792.1-q over \(\Q(\sqrt{21}) \)

Isogeny class 1792.1-q contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
1792.1-q1 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a + 7\) , \( 7 a + 4\bigr] \)
1792.1-q2 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a - 133\) , \( 91 a - 500\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph