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
100.1-a4 100.1-a $4$
$6$
\(\Q(\sqrt{19}) \) $2$
$[2, 0]$
100.1
\( 2^{2} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{6} \)
$2.46346$
$(-3a+13), (2a+9), (-2a+9)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 3$
2B , 3B $1$
\( 3 \)
$1.796827570$
$20.68730941$
6.395800016
\( \frac{488095744}{125} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -41\) , \( 116\bigr] \) ${y}^2={x}^{3}-{x}^{2}-41{x}+116$
100.1-b4 100.1-b $4$
$6$
\(\Q(\sqrt{19}) \) $2$
$[2, 0]$
100.1
\( 2^{2} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{6} \)
$2.46346$
$(-3a+13), (2a+9), (-2a+9)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 3$
2B , 3B.1.2 $1$
\( 1 \)
$4.609211449$
$3.545375530$
0.937242735
\( \frac{488095744}{125} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -41\) , \( -116\bigr] \) ${y}^2={x}^{3}+{x}^{2}-41{x}-116$
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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.
