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
16.3-b1
16.3-b
$2$
$2$
4.4.9248.1
$4$
$[4, 0]$
16.3
\( 2^{4} \)
\( 2^{8} \)
$12.15283$
$(-a^3+4a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2 \)
$0.096670278$
$1126.453841$
2.264709247
\( 644 a^{2} - 1528 \)
\( \bigl[a^{2} + a - 2\) , \( a^{3} - a^{2} - 5 a + 2\) , \( a + 1\) , \( 47 a^{3} + 28 a^{2} - 216 a - 130\) , \( -444 a^{3} - 296 a^{2} + 2025 a + 1349\bigr] \)
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a^{3}-a^{2}-5a+2\right){x}^{2}+\left(47a^{3}+28a^{2}-216a-130\right){x}-444a^{3}-296a^{2}+2025a+1349$
16.3-c1
16.3-c
$2$
$2$
4.4.9248.1
$4$
$[4, 0]$
16.3
\( 2^{4} \)
\( 2^{8} \)
$12.15283$
$(-a^3+4a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2 \)
$0.096670278$
$1126.453841$
2.264709247
\( 644 a^{2} - 1528 \)
\( \bigl[a^{2} + a - 2\) , \( -a^{2} - a + 3\) , \( a^{3} - 4 a + 1\) , \( 2 a^{3} - a^{2} - 9 a + 5\) , \( 0\bigr] \)
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a^{3}-4a+1\right){y}={x}^{3}+\left(-a^{2}-a+3\right){x}^{2}+\left(2a^{3}-a^{2}-9a+5\right){x}$
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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.