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
6498.1-a2
6498.1-a
$2$
$2$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
6498.1
\( 2 \cdot 3^{2} \cdot 19^{2} \)
\( 2^{4} \cdot 3^{10} \cdot 19^{2} \)
$1.60459$
$(a+1), (3), (19)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2 \cdot 5 \)
$0.269535280$
$1.435310597$
1.934334224
\( \frac{96386901625}{18468} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -95\) , \( -399\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-95{x}-399$
58482.1-e2
58482.1-e
$2$
$2$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
58482.1
\( 2 \cdot 3^{4} \cdot 19^{2} \)
\( 2^{4} \cdot 3^{22} \cdot 19^{2} \)
$2.77923$
$(a+1), (3), (19)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$1.747745322$
$0.478436865$
6.689486356
\( \frac{96386901625}{18468} \)
\( \bigl[i\) , \( 1\) , \( i\) , \( -859\) , \( -9915\bigr] \)
${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-859{x}-9915$
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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.