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
722.1-b1
722.1-b
$2$
$5$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
722.1
\( 2 \cdot 19^{2} \)
\( 2^{2} \cdot 19^{10} \)
$0.92641$
$(a+1), (19)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5B.1.2
$1$
\( 2 \cdot 5 \)
$0.065585187$
$0.965055962$
1.265867533
\( -\frac{37966934881}{4952198} \)
\( \bigl[i\) , \( -1\) , \( i\) , \( -69\) , \( 279\bigr] \)
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-69{x}+279$
58482.1-d1
58482.1-d
$2$
$5$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
58482.1
\( 2 \cdot 3^{4} \cdot 19^{2} \)
\( 2^{2} \cdot 3^{12} \cdot 19^{10} \)
$2.77923$
$(a+1), (3), (19)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$5$
5B.4.2
$1$
\( 2 \cdot 5 \)
$1$
$0.321685320$
3.216853208
\( -\frac{37966934881}{4952198} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -630\) , \( 6898\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-630{x}+6898$
92416.1-k1
92416.1-k
$2$
$5$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
92416.1
\( 2^{8} \cdot 19^{2} \)
\( 2^{26} \cdot 19^{10} \)
$3.11606$
$(a+1), (19)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$5$
5B.4.2
$1$
\( 2^{2} \cdot 5 \)
$1$
$0.241263990$
4.825279813
\( -\frac{37966934881}{4952198} \)
\( \bigl[0\) , \( i\) , \( 0\) , \( 1120\) , \( -15604 i\bigr] \)
${y}^2={x}^{3}+i{x}^{2}+1120{x}-15604i$
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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.