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
288.1-d3
288.1-d
$4$
$4$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
288.1
\( 2^{5} \cdot 3^{2} \)
\( 2^{12} \cdot 3^{2} \)
$2.32818$
$(2,a), (3,a+1), (3,a+2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2 \)
$1.351603734$
$10.97780010$
2.346036182
\( \frac{140608}{3} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -4\) , \( -2\bigr] \)
${y}^2={x}^{3}-{x}^{2}-4{x}-2$
288.1-e3
288.1-e
$4$
$4$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
288.1
\( 2^{5} \cdot 3^{2} \)
\( 2^{24} \cdot 3^{2} \)
$2.32818$
$(2,a), (3,a+1), (3,a+2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$4$
\( 2 \)
$1$
$10.97780010$
3.471485204
\( \frac{140608}{3} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -17\) , \( -33\bigr] \)
${y}^2={x}^{3}+{x}^{2}-17{x}-33$
288.1-p3
288.1-p
$4$
$4$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
288.1
\( 2^{5} \cdot 3^{2} \)
\( 2^{12} \cdot 3^{2} \)
$2.32818$
$(2,a), (3,a+1), (3,a+2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2 \)
$1$
$32.06898949$
2.535276226
\( \frac{140608}{3} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -4\) , \( 2\bigr] \)
${y}^2={x}^{3}+{x}^{2}-4{x}+2$
288.1-q3
288.1-q
$4$
$4$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
288.1
\( 2^{5} \cdot 3^{2} \)
\( 2^{24} \cdot 3^{2} \)
$2.32818$
$(2,a), (3,a+1), (3,a+2)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2 \)
$2.297508315$
$32.06898949$
2.912409105
\( \frac{140608}{3} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -17\) , \( 33\bigr] \)
${y}^2={x}^{3}-{x}^{2}-17{x}+33$
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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.