Elliptic curve isogeny class 4.1-a over number field 3.3.1849.1

• Base field: 3.3.1849.1
• Label: 3.3.1849.1-4.1-a
• Conductor: 4.1
• Rank: \( 0 \)

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 4.1-a over 3.3.1849.1

Isogeny class 4.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
4.1-a1	\( \bigl[a + 1\) , \( -a + 1\) , \( \frac{1}{2} a^{2} - \frac{1}{2} a - 4\) , \( 13 a^{2} + 42 a + 22\) , \( -\frac{163}{2} a^{2} - \frac{577}{2} a - 150\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph