Elliptic curve isogeny class 49.1-a over number field 4.4.19821.1

• Base field: 4.4.19821.1
• Label: 4.4.19821.1-49.1-a
• Conductor: 49.1
• Rank: \( 0 \)

Base field 4.4.19821.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 8 x^{2} + 6 x + 3 \); class number \(1\).

Elliptic curves in class 49.1-a over 4.4.19821.1

Isogeny class 49.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
49.1-a1	\( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a\) , \( -a^{2} + a + 3\) , \( a + 1\) , \( -4 a^{3} - 4 a^{2} + 13 a + 1\) , \( -\frac{95}{3} a^{3} - \frac{176}{3} a^{2} + 82 a + 24\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph