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
1083.1-b1
1083.1-b
$4$
$4$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
1083.1
\( 3 \cdot 19^{2} \)
\( 3^{2} \cdot 19^{8} \)
$1.77577$
$(a), (19)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$2.601893913$
$2.262154252$
1.699108754
\( \frac{67419143}{390963} \)
\( \bigl[a\) , \( -1\) , \( a\) , \( 7\) , \( -30\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+7{x}-30$
1083.1-e1
1083.1-e
$4$
$4$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
1083.1
\( 3 \cdot 19^{2} \)
\( 3^{2} \cdot 19^{8} \)
$1.77577$
$(a), (19)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$4$
\( 2^{3} \)
$1$
$4.711524088$
2.720199700
\( \frac{67419143}{390963} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( 8\) , \( 29\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+8{x}+29$
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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.