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
61731.3-g1 61731.3-g $2$
$2$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
61731.3
\( 3^{2} \cdot 19^{3} \)
\( 3^{3} \cdot 19^{13} \)
$2.43964$
$(-2a+1), (-5a+3), (-5a+2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{3} \)
$2.769040107$
$0.356166928$
4.555249792
\( \frac{5845799184}{130321} a - \frac{4133064549}{130321} \)
\( \bigl[1\) , \( -a + 1\) , \( 1\) , \( 238 a - 817\) , \( 3795 a - 8972\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(238a-817\right){x}+3795a-8972$
61731.3-h1 61731.3-h $2$
$2$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
61731.3
\( 3^{2} \cdot 19^{3} \)
\( 3^{9} \cdot 19^{7} \)
$2.43964$
$(-2a+1), (-5a+3), (-5a+2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{4} \)
$1$
$0.896333780$
4.139988395
\( \frac{5845799184}{130321} a - \frac{4133064549}{130321} \)
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 7 a - 118\) , \( -7 a + 466\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(7a-118\right){x}-7a+466$
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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.
