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
1.1-a1
1.1-a
$2$
$5$
\(\Q(\sqrt{461}) \)
$2$
$[2, 0]$
1.1
\( 1 \)
\( 1 \)
$1.91862$
$\textsf{none}$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5B
$1$
\( 1 \)
$1$
$44.00361906$
2.049452861
\( -142155 a - 1453356 \)
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 8 a + 248\) , \( 21 a + 627\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(8a+248\right){x}+21a+627$
1.1-a2
1.1-a
$2$
$5$
\(\Q(\sqrt{461}) \)
$2$
$[2, 0]$
1.1
\( 1 \)
\( 1 \)
$1.91862$
$\textsf{none}$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5B
$1$
\( 1 \)
$1$
$44.00361906$
2.049452861
\( 142155 a - 1595511 \)
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -7 a + 140\) , \( -14 a + 393\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-7a+140\right){x}-14a+393$
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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.