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
4.1-c2 4.1-c $4$
$10$
\(\Q(\sqrt{209}) \) $2$
$[2, 0]$
4.1
\( 2^{2} \)
\( - 2^{21} \)
$1.82695$
$(11a+74), (11a-85)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 3, 5$
2B , 3Nn , 5B $1$
\( 2 \cdot 3^{2} \cdot 5 \)
$1$
$2.636252383$
4.102951284
\( -\frac{239886134047017}{32768} a + \frac{463484975124303}{8192} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( 109626655 a - 847240411\) , \( 1679777810708 a - 12982021956321\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(109626655a-847240411\right){x}+1679777810708a-12982021956321$
4.1-d2 4.1-d $4$
$10$
\(\Q(\sqrt{209}) \) $2$
$[2, 0]$
4.1
\( 2^{2} \)
\( - 2^{21} \)
$1.82695$
$(11a+74), (11a-85)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 3, 5$
2B , 3Nn , 5B $1$
\( 2 \)
$1$
$8.606301134$
0.297655148
\( -\frac{239886134047017}{32768} a + \frac{463484975124303}{8192} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( 950 a + 6392\) , \( -42668 a - 287088\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(950a+6392\right){x}-42668a-287088$
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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.
