Properties

Base field 4.4.13525.1
Label 4.4.13525.1-9.1-b
Conductor 9.1
Rank \( 1 \)

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Base field 4.4.13525.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 12 x^{2} + 8 x + 29 \); class number \(1\).

Elliptic curves in class 9.1-b over 4.4.13525.1

Isogeny class 9.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
9.1-b1 \( \bigl[\frac{1}{5} a^{3} + a^{2} - \frac{7}{5} a - \frac{29}{5}\) , \( a\) , \( \frac{1}{5} a^{3} + a^{2} - \frac{2}{5} a - \frac{24}{5}\) , \( \frac{16}{5} a^{3} + 5 a^{2} - \frac{142}{5} a - \frac{224}{5}\) , \( -\frac{381}{5} a^{3} - 97 a^{2} + \frac{3467}{5} a + \frac{4839}{5}\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph