Elliptic curve isogeny class 16128.2-g over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-16128.2-g
• Conductor: 16128.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 16128.2-g over \(\Q(\sqrt{-7}) \)

Isogeny class 16128.2-g contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
16128.2-g1	\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 402 a - 1018\) , \( -7224 a + 11128\bigr] \)
16128.2-g2	\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 292 a - 1248\) , \( -8608 a + 3952\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph