Label Class Class size Class degree Base field Field degree Field signature Conductor Conductor norm Discriminant norm Root analytic conductor Bad primes Rank Torsion CM CM Sato-Tate $\Q$-curve Base change Semistable Potentially good Nonmax $\ell$ mod-$\ell$ images $Ш_{\textrm{an}}$ Tamagawa Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
900.1-f3 900.1-f $4$
$10$
\(\Q(\sqrt{29}) \) $2$
$[2, 0]$
900.1
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{40} \cdot 3^{20} \cdot 5^{2} \)
$2.63571$
$(-a-1), (-a+2), (2), (3)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 5$
2B , 5B.1.2 $1$
\( 2^{2} \)
$23.15067570$
$0.299555070$
5.151116097
\( \frac{21685195471991381}{309586821120} \)
\( \bigl[a\) , \( 1\) , \( 1\) , \( 29048 a - 92951\) , \( 4397257 a - 14040061\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+{x}^{2}+\left(29048a-92951\right){x}+4397257a-14040061$
Download
displayed columns for
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*The rank, regulator and analytic order of Ш are
not known for all curves in the database; curves for which these are
unknown will not appear in searches specifying one of these
quantities.
