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
101568.1-e1 101568.1-e $2$
$2$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
101568.1
\( 2^{6} \cdot 3 \cdot 23^{2} \)
\( 2^{20} \cdot 3^{12} \cdot 23^{2} \)
$2.76305$
$(-2a+1), (2), (23)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{2} \)
$2.080975295$
$0.833769221$
4.006933617
\( -\frac{28756228}{16767} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -64\) , \( -260\bigr] \) ${y}^2={x}^{3}-{x}^{2}-64{x}-260$
38088.1-a1 38088.1-a $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
38088.1
\( 2^{3} \cdot 3^{2} \cdot 23^{2} \)
\( 2^{8} \cdot 3^{12} \cdot 23^{2} \)
$2.49670$
$(a+1), (3), (23)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{3} \cdot 3 \)
$0.111341960$
$1.667538442$
4.456007978
\( -\frac{28756228}{16767} \)
\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -i + 16\) , \( -33 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+16\right){x}-33i$
38088.2-b1 38088.2-b $2$
$2$
\(\Q(\sqrt{-2}) \) $2$
$[0, 1]$
38088.2
\( 2^{3} \cdot 3^{2} \cdot 23^{2} \)
\( 2^{8} \cdot 3^{12} \cdot 23^{2} \)
$3.53086$
$(a), (-a-1), (a-1), (23)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{3} \)
$0.605760217$
$1.667538442$
5.714149412
\( -\frac{28756228}{16767} \)
\( \bigl[a\) , \( 1\) , \( a\) , \( -15\) , \( 33\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-15{x}+33$
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Pari/GP
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Magma
Oscar
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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.
