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
81.1-a3 81.1-a $3$
$9$
\(\Q(\sqrt{6}) \) $2$
$[2, 0]$
81.1
\( 3^{4} \)
\( 3^{10} \)
$1.31330$
$(a+3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B.1.2 $1$
\( 3 \)
$1$
$1.717783831$
1.051923469
\( 2798699520 a - 6855384768 \)
\( \bigl[a\) , \( 0\) , \( a + 1\) , \( 13 a + 24\) , \( -23 a - 67\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(13a+24\right){x}-23a-67$
81.1-c3 81.1-c $3$
$9$
\(\Q(\sqrt{6}) \) $2$
$[2, 0]$
81.1
\( 3^{4} \)
\( 3^{10} \)
$1.31330$
$(a+3)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B.1.1 $1$
\( 3 \)
$1$
$15.46005448$
1.051923469
\( 2798699520 a - 6855384768 \)
\( \bigl[a\) , \( 0\) , \( a + 1\) , \( 136 a - 336\) , \( -1289 a + 3155\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(136a-336\right){x}-1289a+3155$
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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.
