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
11875.3-b2 11875.3-b $2$
$2$
\(\Q(\sqrt{-19}) \) $2$
$[0, 1]$
11875.3
\( 5^{4} \cdot 19 \)
\( 5^{18} \cdot 19^{4} \)
$4.06606$
$(-a), (a-1), (-2a+1)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{4} \)
$1.463636804$
$0.384380856$
4.130173064
\( \frac{13312053}{361} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -617\) , \( 5916\bigr] \) ${y}^2+{x}{y}={x}^3-{x}^2-617{x}+5916$
475.1-d2 475.1-d $4$
$4$
\(\Q(\sqrt{-95}) \) $2$
$[0, 1]$
475.1
\( 5^{2} \cdot 19 \)
\( 5^{18} \cdot 19^{4} \)
$4.06606$
$(5,a+2), (19,a+9)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2Cs $1$
\( 2^{4} \)
$1.741619322$
$1.921904284$
10.98937933
\( \frac{13312053}{361} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -617\) , \( 5916\bigr] \) ${y}^2+{x}{y}={x}^3-{x}^2-617{x}+5916$
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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.
