Elliptic curve isogeny class 4.3-b over number field 4.4.15188.1

• Base field: 4.4.15188.1
• Label: 4.4.15188.1-4.3-b
• Conductor: 4.3
• Rank: \( 1 \)

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 4.3-b over 4.4.15188.1

Isogeny class 4.3-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
4.3-b1	\( \bigl[\frac{1}{2} a^{3} - \frac{5}{2} a - 1\) , \( -\frac{1}{2} a^{3} + \frac{5}{2} a + 3\) , \( a^{3} - a^{2} - 5 a\) , \( -\frac{9}{2} a^{3} - 10 a^{2} + \frac{17}{2} a + 7\) , \( \frac{167}{2} a^{3} + 177 a^{2} - \frac{79}{2} a - 53\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph