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
26244.1-a2 26244.1-a $2$
$3$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
26244.1
\( 2^{2} \cdot 3^{8} \)
\( 2^{8} \cdot 3^{20} \)
$2.27471$
$(a+1), (3)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2Cn , 3B.1.2 $1$
\( 3 \)
$0.335047173$
$0.895917912$
3.602097172
\( 790272 \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -189\) , \( 999\bigr] \) ${y}^2={x}^{3}-189{x}+999$
26244.1-c2 26244.1-c $2$
$3$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
26244.1
\( 2^{2} \cdot 3^{8} \)
\( 2^{8} \cdot 3^{8} \)
$2.27471$
$(a+1), (3)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2Cn , 3B.1.1 $4$
\( 3 \)
$1$
$2.687753738$
3.583671651
\( 790272 \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -21\) , \( 37\bigr] \) ${y}^2={x}^{3}-21{x}+37$
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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.
