Elliptic curve isogeny class 30976.1-h over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-30976.1-h
• Conductor: 30976.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 30976.1-h over \(\Q(\sqrt{-3}) \)

Isogeny class 30976.1-h contains 3 curves linked by isogenies of degrees dividing 25.

Curve label	Weierstrass Coefficients
30976.1-h1	\( \bigl[0\) , \( 1\) , \( 0\) , \( -125125\) , \( 16994227\bigr] \)
30976.1-h2	\( \bigl[0\) , \( 1\) , \( 0\) , \( -165\) , \( 1427\bigr] \)
30976.1-h3	\( \bigl[0\) , \( 1\) , \( 0\) , \( -5\) , \( -13\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph