Elliptic curve isogeny class 70189.7-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-70189.7-a
• Conductor: 70189.7
• Rank: \( 0 \)

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

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

Elliptic curves in class 70189.7-a over \(\Q(\sqrt{-3}) \)

Isogeny class 70189.7-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
70189.7-a1	\( \bigl[a + 1\) , \( -a\) , \( a\) , \( -21 a + 29\) , \( 52 a + 22\bigr] \)
70189.7-a2	\( \bigl[a + 1\) , \( -a\) , \( a\) , \( -1581 a + 2574\) , \( 26238 a + 20815\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph