Elliptic curve isogeny class 22188.3-b over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-22188.3-b
• Conductor: 22188.3
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-3}) \)

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 22188.3-b over \(\Q(\sqrt{-3}) \)

Isogeny class 22188.3-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
22188.3-b1	\( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -4190 a - 2605\) , \( 166979 a + 15529\bigr] \)
22188.3-b2	\( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -250 a - 85\) , \( 3219 a + 1193\bigr] \)