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

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-71148.2-c
• 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-c over \(\Q(\sqrt{-3}) \)

Isogeny class 71148.2-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
71148.2-c1	\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -404 a + 404\) , \( 5136\bigr] \)
71148.2-c2	\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -7444 a + 7444\) , \( 251536\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph