Properties

Base field \(\Q(\sqrt{19}) \)
Label 2.2.76.1-152.1-c
Conductor 152.1
Rank \( 2 \)

Related objects

Learn more

Base field \(\Q(\sqrt{19}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).

Elliptic curves in class 152.1-c over \(\Q(\sqrt{19}) \)

Isogeny class 152.1-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
152.1-c1 \( \bigl[a + 1\) , \( a\) , \( 0\) , \( 27630 a - 120392\) , \( -7486350 a + 32632300\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph