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
1444.2-b1
1444.2-b
$2$
$5$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
1444.2
\( 2^{2} \cdot 19^{2} \)
\( 2^{2} \cdot 19^{10} \)
$1.45740$
$(a), (-a+1), (19)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5B.1.2
$1$
\( 5 \)
$1$
$0.965055962$
3.647568683
\( -\frac{37966934881}{4952198} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -70\) , \( -279\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-70{x}-279$
46208.2-a1
46208.2-a
$2$
$5$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
46208.2
\( 2^{7} \cdot 19^{2} \)
\( 2^{20} \cdot 19^{10} \)
$3.46631$
$(a), (-a+1), (19)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$5$
5B.4.2
$1$
\( 2^{2} \)
$1.755426180$
$0.341198807$
3.622105024
\( -\frac{37966934881}{4952198} \)
\( \bigl[a\) , \( a\) , \( 0\) , \( -350 a - 141\) , \( -4390 a + 1813\bigr] \)
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-350a-141\right){x}-4390a+1813$
46208.7-a1
46208.7-a
$2$
$5$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
46208.7
\( 2^{7} \cdot 19^{2} \)
\( 2^{20} \cdot 19^{10} \)
$3.46631$
$(a), (-a+1), (19)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$5$
5B.4.2
$1$
\( 2^{2} \)
$1.755426180$
$0.341198807$
3.622105024
\( -\frac{37966934881}{4952198} \)
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 352 a - 492\) , \( 4250 a - 3278\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(352a-492\right){x}+4250a-3278$
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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.