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.
