Elliptic curve isogeny class 14.3-a over number field 4.4.18432.1

• Base field: 4.4.18432.1
• Label: 4.4.18432.1-14.3-a
• Conductor: 14.3
• Rank: \( 1 \)

Base field 4.4.18432.1

Generator \(a\), with minimal polynomial \( x^{4} - 12 x^{2} + 18 \); class number \(1\).

Elliptic curves in class 14.3-a over 4.4.18432.1

Isogeny class 14.3-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
14.3-a1	\( \bigl[\frac{1}{3} a^{2} + a - 1\) , \( -\frac{1}{3} a^{3} + 4 a - 1\) , \( \frac{1}{3} a^{2} + a - 1\) , \( \frac{14}{3} a^{3} - \frac{41}{3} a^{2} - 11 a + 32\) , \( -\frac{353}{3} a^{3} + 377 a^{2} + 213 a - 669\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph