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
1083.2-a1 1083.2-a $1$
$1$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
1083.2
\( 3 \cdot 19^{2} \)
\( 3^{4} \cdot 19^{2} \)
$0.88788$
$(-2a+1), (-5a+3), (-5a+2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$1$
\( 2 \)
$0.037574592$
$5.328644115$
0.924784107
\( -\frac{1404928}{171} \)
\( \bigl[0\) , \( a\) , \( 1\) , \( -2 a + 2\) , \( 2\bigr] \) ${y}^2+{y}={x}^{3}+a{x}^{2}+\left(-2a+2\right){x}+2$
61731.2-f1 61731.2-f $1$
$1$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
61731.2
\( 3^{2} \cdot 19^{3} \)
\( 3^{10} \cdot 19^{8} \)
$2.43964$
$(-2a+1), (-5a+3), (-5a+2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$1$
\( 2^{2} \)
$1$
$0.705796155$
3.259932801
\( -\frac{1404928}{171} \)
\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 148 a - 35\) , \( 167 a + 545\bigr] \) ${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(148a-35\right){x}+167a+545$
61731.3-f1 61731.3-f $1$
$1$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
61731.3
\( 3^{2} \cdot 19^{3} \)
\( 3^{10} \cdot 19^{8} \)
$2.43964$
$(-2a+1), (-5a+3), (-5a+2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$1$
\( 2^{2} \)
$1$
$0.705796155$
3.259932801
\( -\frac{1404928}{171} \)
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( 36 a - 147\) , \( -279 a + 677\bigr] \) ${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(36a-147\right){x}-279a+677$
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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.
