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
1186.2-a1 1186.2-a $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
1186.2
\( 2 \cdot 593 \)
\( 2^{4} \cdot 593^{2} \)
$1.04879$
$(a+1), (8a-23)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $1$
\( 2^{3} \)
$0.157078984$
$2.551253826$
1.602993443
\( -\frac{438033487497}{1406596} a - \frac{120820883902}{351649} \)
\( \bigl[1\) , \( 0\) , \( i + 1\) , \( -22 i\) , \( 24 i - 28\bigr] \) ${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}-22i{x}+24i-28$
96066.2-a1 96066.2-a $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
96066.2
\( 2 \cdot 3^{4} \cdot 593 \)
\( 2^{4} \cdot 3^{12} \cdot 593^{2} \)
$3.14638$
$(a+1), (8a-23), (3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{4} \)
$0.729215634$
$0.850417942$
4.961104476
\( -\frac{438033487497}{1406596} a - \frac{120820883902}{351649} \)
\( \bigl[1\) , \( -1\) , \( i + 1\) , \( -194 i + 4\) , \( -662 i + 756\bigr] \) ${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}-{x}^{2}+\left(-194i+4\right){x}-662i+756$
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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.
