Properties

Base field \(\Q(\sqrt{93}) \)
Label 2.2.93.1-192.1-m
Conductor 192.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{93}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 23 \); class number \(1\).

Elliptic curves in class 192.1-m over \(\Q(\sqrt{93}) \)

Isogeny class 192.1-m contains 6 curves linked by isogenies of degrees dividing 8.

Curve label Weierstrass Coefficients
192.1-m1 \( \bigl[0\) , \( 1\) , \( 0\) , \( -1363 a + 7254\) , \( -440801 a + 2345866\bigr] \)
192.1-m2 \( \bigl[0\) , \( 1\) , \( 0\) , \( -58 a + 309\) , \( 634 a - 3374\bigr] \)
192.1-m3 \( \bigl[0\) , \( 1\) , \( 0\) , \( 377 a - 2006\) , \( 6659 a - 35438\bigr] \)
192.1-m4 \( \bigl[0\) , \( 1\) , \( 0\) , \( 2117 a - 11266\) , \( -110361 a + 587322\bigr] \)
192.1-m5 \( \bigl[0\) , \( 1\) , \( 0\) , \( 5597 a - 29786\) , \( 502319 a - 2673254\bigr] \)
192.1-m6 \( \bigl[0\) , \( 1\) , \( 0\) , \( 33437 a - 177946\) , \( -7297041 a + 38833578\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrrrr} 1 & 8 & 4 & 2 & 8 & 4 \\ 8 & 1 & 2 & 4 & 4 & 8 \\ 4 & 2 & 1 & 2 & 2 & 4 \\ 2 & 4 & 2 & 1 & 4 & 2 \\ 8 & 4 & 2 & 4 & 1 & 8 \\ 4 & 8 & 4 & 2 & 8 & 1 \end{array}\right)\)

Isogeny graph