Elliptic curve isogeny class 144.1-i over number field \(\Q(\sqrt{22}) \)

• Base field: \(\Q(\sqrt{22}) \)
• Label: 2.2.88.1-144.1-i
• Conductor: 144.1
• Rank: \( 1 \)

Base field \(\Q(\sqrt{22}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 22 \); class number \(1\).

Elliptic curves in class 144.1-i over \(\Q(\sqrt{22}) \)

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

Curve label	Weierstrass Coefficients
144.1-i1	\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -105015 a - 492564\) , \( 9907452 a + 46470069\bigr] \)
144.1-i2	\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -81435 a - 381964\) , \( 27114116 a + 127176477\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph