Properties

Base field \(\Q(\sqrt{93}) \)
Label 2.2.93.1-147.1-j
Conductor 147.1
Rank not recorded

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 147.1-j over \(\Q(\sqrt{93}) \)

Isogeny class 147.1-j contains 6 curves linked by isogenies of degrees dividing 8.

Curve label Weierstrass Coefficients
147.1-j1 \( \bigl[a\) , \( -a\) , \( a\) , \( -2963 a - 12788\) , \( 537959 a + 2324987\bigr] \)
147.1-j2 \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -84 a + 454\) , \( -255 a + 1374\bigr] \)
147.1-j3 \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 351 a - 1861\) , \( -1470 a + 7840\bigr] \)
147.1-j4 \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 3396 a - 18066\) , \( 236985 a - 1261176\bigr] \)
147.1-j5 \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 4266 a - 22696\) , \( -329925 a + 1755820\bigr] \)
147.1-j6 \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 68211 a - 363001\) , \( -21253170 a + 113105674\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph