Elliptic curve isogeny class 7.2-b over number field 4.4.18432.1

• Base field: 4.4.18432.1
• Label: 4.4.18432.1-7.2-b
• Conductor: 7.2
• Rank: \( 0 \)

Base field 4.4.18432.1

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

Elliptic curves in class 7.2-b over 4.4.18432.1

Isogeny class 7.2-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
7.2-b1	\( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 3 a - 1\) , \( a + 1\) , \( \frac{1}{3} a^{3} - 3 a + 1\) , \( \frac{8}{3} a^{3} + \frac{13}{3} a^{2} - 27 a - 42\) , \( -\frac{19}{3} a^{3} - 11 a^{2} + 51 a + 68\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph