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
17563.2-a1
17563.2-a
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
17563.2
\( 7 \cdot 13 \cdot 193 \)
\( 7^{2} \cdot 13 \cdot 193 \)
$1.78176$
$(-3a+1), (-4a+1), (-16a+9)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$1$
\( 2 \)
$0.065764535$
$4.558475983$
1.384652488
\( \frac{1054891431}{122941} a - \frac{2221002963}{122941} \)
\( \bigl[1\) , \( -1\) , \( a\) , \( a - 4\) , \( a - 2\bigr] \)
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(a-4\right){x}+a-2$
17563.2-b1
17563.2-b
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
17563.2
\( 7 \cdot 13 \cdot 193 \)
\( 7^{2} \cdot 13 \cdot 193 \)
$1.78176$
$(-3a+1), (-4a+1), (-16a+9)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$1$
\( 2 \)
$0.138547566$
$5.274050385$
3.374990355
\( -\frac{2796875}{122941} a + \frac{6312500}{122941} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( a - 1\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}+a-1$
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*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.