Properties

Base field 3.3.1849.1
Label 3.3.1849.1-8.1-g
Conductor 8.1
Rank not recorded

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Base field 3.3.1849.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 14 x - 8 \); class number \(1\).

Elliptic curves in class 8.1-g over 3.3.1849.1

Isogeny class 8.1-g contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
8.1-g1 \( \bigl[1\) , \( 0\) , \( \frac{1}{2} a^{2} - \frac{1}{2} a - 4\) , \( -34 a^{2} - 118 a - 58\) , \( 43101 a^{2} + 150995 a + 76564\bigr] \)
8.1-g2 \( \bigl[1\) , \( 0\) , \( \frac{1}{2} a^{2} - \frac{1}{2} a - 4\) , \( \frac{607}{2} a^{2} + \frac{2129}{2} a + 542\) , \( -1163656 a^{2} - 4076646 a - 2067206\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph