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
120000.1-d1 120000.1-d $2$
$2$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
120000.1
\( 2^{6} \cdot 3 \cdot 5^{4} \)
\( 2^{20} \cdot 3^{6} \cdot 5^{6} \)
$2.88068$
$(-2a+1), (2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{3} \)
$1$
$1.123833754$
2.595382882
\( \frac{27436}{27} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( 32\) , \( -68\bigr] \) ${y}^2={x}^{3}-{x}^{2}+32{x}-68$
120000.1-g1 120000.1-g $2$
$2$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
120000.1
\( 2^{6} \cdot 3 \cdot 5^{4} \)
\( 2^{20} \cdot 3^{6} \cdot 5^{18} \)
$2.88068$
$(-2a+1), (2), (5)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{3} \cdot 3 \)
$1.655400181$
$0.224766750$
5.155676752
\( \frac{27436}{27} \)
\( \bigl[0\) , \( -a\) , \( 0\) , \( 792 a - 792\) , \( -6912\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(792a-792\right){x}-6912$
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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.
