Elliptic curve isogeny class 126976.1-h over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-126976.1-h
• Conductor: 126976.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 126976.1-h over \(\Q(\sqrt{-3}) \)

Isogeny class 126976.1-h contains 3 curves linked by isogenies of degrees dividing 25.

Curve label	Weierstrass Coefficients
126976.1-h1	\( \bigl[0\) , \( 1\) , \( 0\) , \( 608 a - 961\) , \( -416 a + 5919\bigr] \)
126976.1-h2	\( \bigl[0\) , \( 1\) , \( 0\) , \( -32 a - 1\) , \( -32 a - 33\bigr] \)
126976.1-h3	\( \bigl[0\) , \( 1\) , \( 0\) , \( -48032 a + 83199\) , \( -5257632 a - 3311393\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 5 & 5 \\ 5 & 1 & 25 \\ 5 & 25 & 1 \end{array}\right)\)

Isogeny graph