Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-38416.1-g
Conductor 38416.1
Rank \( 2 \)

Related objects

Learn more

Base field \(\Q(\sqrt{-2}) \)

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

Elliptic curves in class 38416.1-g over \(\Q(\sqrt{-2}) \)

Isogeny class 38416.1-g contains only one elliptic curve.

Curve label Weierstrass Coefficients
38416.1-g1 \( \bigl[0\) , \( 1\) , \( 0\) , \( -16\) , \( -29\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph