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
10.2-a2
10.2-a
$3$
$9$
\(\Q(\sqrt{249}) \)
$2$
$[2, 0]$
10.2
\( 2 \cdot 5 \)
\( - 2^{18} \cdot 5 \)
$2.50748$
$(59a-495), (18a-151)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3B.1.1
$1$
\( 2 \cdot 3^{2} \)
$0.645624079$
$21.59673281$
3.534500871
\( \frac{8025743347527}{1310720} a + \frac{29314806044891}{655360} \)
\( \bigl[a\) , \( 0\) , \( a + 1\) , \( 102990805 a - 864079084\) , \( -1600261541361 a + 13425981367840\bigr] \)
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(102990805a-864079084\right){x}-1600261541361a+13425981367840$
10.2-b2
10.2-b
$3$
$9$
\(\Q(\sqrt{249}) \)
$2$
$[2, 0]$
10.2
\( 2 \cdot 5 \)
\( - 2^{18} \cdot 5 \)
$2.50748$
$(59a-495), (18a-151)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3B.1.2
$1$
\( 2 \)
$2.117839919$
$1.762351193$
0.946119306
\( \frac{8025743347527}{1310720} a + \frac{29314806044891}{655360} \)
\( \bigl[a\) , \( 0\) , \( 1\) , \( -19947514 a - 147409408\) , \( -136332744923 a - 1007480841593\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-19947514a-147409408\right){x}-136332744923a-1007480841593$
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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.