Elliptic curve isogeny class 71424.1-h over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-71424.1-h
• Conductor: 71424.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 71424.1-h over \(\Q(\sqrt{-3}) \)

Isogeny class 71424.1-h contains 3 curves linked by isogenies of degrees dividing 25.

Curve label	Weierstrass Coefficients
71424.1-h1	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -455 a + 721\) , \( -4511 a + 2268\bigr] \)
71424.1-h2	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 25 a + 1\) , \( 49 a - 36\bigr] \)
71424.1-h3	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 36025 a - 62399\) , \( 4473169 a - 5216196\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph