Elliptic curve isogeny class 71148.2-b over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-71148.2-b
• Conductor: 71148.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 71148.2-b over \(\Q(\sqrt{-3}) \)

Isogeny class 71148.2-b contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
71148.2-b1	\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -1444 a + 1443\) , \( 412244\bigr] \)
71148.2-b2	\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -644 a + 643\) , \( -1708\bigr] \)
71148.2-b3	\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -5764 a + 5763\) , \( 170324\bigr] \)
71148.2-b4	\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -92004 a + 92003\) , \( 10795092\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph