Elliptic curve isogeny class 28.2-b over number field 3.3.469.1

• Base field: 3.3.469.1
• Label: 3.3.469.1-28.2-b
• Conductor: 28.2
• Rank: \( 0 \)

Base field 3.3.469.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 5 x + 4 \); class number \(1\).

Elliptic curves in class 28.2-b over 3.3.469.1

Isogeny class 28.2-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
28.2-b1	\( \bigl[a^{2} - 3\) , \( a - 1\) , \( 0\) , \( a^{2} + a - 1\) , \( 0\bigr] \)
28.2-b2	\( \bigl[a^{2} - 3\) , \( a - 1\) , \( 0\) , \( -4 a^{2} - 4 a + 4\) , \( -11 a^{2} - 21 a + 21\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph