Properties

Base field 4.4.15188.1
Label 4.4.15188.1-11.1-b
Conductor 11.1
Rank \( 0 \)

Related objects

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Base field 4.4.15188.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 7 x^{2} + x + 2 \); class number \(1\).

Elliptic curves in class 11.1-b over 4.4.15188.1

Isogeny class 11.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
11.1-b1 \( \bigl[\frac{1}{2} a^{3} - a^{2} - \frac{3}{2} a + 3\) , \( -\frac{1}{2} a^{3} + a^{2} + \frac{5}{2} a - 3\) , \( \frac{1}{2} a^{3} - a^{2} - \frac{3}{2} a + 2\) , \( -a^{2} - 5 a - 7\) , \( 2 a^{3} + a^{2} - 9 a - 6\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph