Elliptic curve isogeny class 144.1-b over number field \(\Q(\sqrt{6}) \)

• Base field: \(\Q(\sqrt{6}) \)
• Label: 2.2.24.1-144.1-b
• Conductor: 144.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{6}) \)

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

Elliptic curves in class 144.1-b over \(\Q(\sqrt{6}) \)

Isogeny class 144.1-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
144.1-b1	\( \bigl[0\) , \( -a\) , \( 0\) , \( -14 a + 36\) , \( -52 a + 127\bigr] \)
144.1-b2	\( \bigl[a\) , \( -a\) , \( 0\) , \( -25 a - 57\) , \( -94 a - 229\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph