Elliptic curve isogeny class 2.1-a over number field 4.4.17428.1

• Base field: 4.4.17428.1
• Label: 4.4.17428.1-2.1-a
• Conductor: 2.1
• Rank: \( 1 \)

Base field 4.4.17428.1

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

Elliptic curves in class 2.1-a over 4.4.17428.1

Isogeny class 2.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
2.1-a1	\( \bigl[a^{3} + a^{2} - 3 a - 3\) , \( -a^{2} + a + 4\) , \( a\) , \( 70 a^{3} + 45 a^{2} - 338 a - 258\) , \( -378 a^{3} - 178 a^{2} + 2026 a + 1522\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph