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
363.1-a6
363.1-a
$6$
$8$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
363.1
\( 3 \cdot 11^{2} \)
\( - 3^{3} \cdot 11^{10} \)
$1.35116$
$(a), (-2a+1), (2a+1)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$1$
$4.468126413$
1.289836993
\( \frac{430559510626058357323}{1929229929} a + \frac{82861216372529232360}{214358881} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -645 a - 1226\) , \( 12039 a + 21843\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-645a-1226\right){x}+12039a+21843$
363.1-b6
363.1-b
$6$
$8$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
363.1
\( 3 \cdot 11^{2} \)
\( - 3^{3} \cdot 11^{10} \)
$1.35116$
$(a), (-2a+1), (2a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \cdot 3 \)
$1.932777014$
$0.470813266$
1.576126501
\( \frac{430559510626058357323}{1929229929} a + \frac{82861216372529232360}{214358881} \)
\( \bigl[a\) , \( 1\) , \( a\) , \( -645 a - 1227\) , \( -12684 a - 23070\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-645a-1227\right){x}-12684a-23070$
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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.