Elliptic curve isogeny class 4.3-a over number field 3.3.1849.1

• Base field: 3.3.1849.1
• Label: 3.3.1849.1-4.3-a
• Conductor: 4.3
• 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 4.3-a over 3.3.1849.1

Isogeny class 4.3-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
4.3-a1	\( \bigl[\frac{1}{2} a^{2} - \frac{1}{2} a - 4\) , \( 1\) , \( \frac{1}{2} a^{2} + \frac{1}{2} a - 5\) , \( -41 a^{2} + 65 a + 532\) , \( \frac{533}{2} a^{2} - \frac{863}{2} a - 3471\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph