Elliptic curve isogeny class 16128.7-b over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-16128.7-b
• Conductor: 16128.7
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 16128.7-b over \(\Q(\sqrt{-7}) \)

Isogeny class 16128.7-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
16128.7-b1	\( \bigl[0\) , \( -1\) , \( 0\) , \( -12 a + 19\) , \( 3 a\bigr] \)
16128.7-b2	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -28 a - 20\) , \( -76 a - 4\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph