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
5525.8-b5 5525.8-b $10$
$16$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
5525.8
\( 5^{2} \cdot 13 \cdot 17 \)
\( 5^{17} \cdot 13 \cdot 17 \)
$1.54082$
$(-a-2), (2a+1), (2a+3), (a-4)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $1$
\( 2^{4} \)
$1.125571825$
$0.734517914$
1.653505339
\( \frac{267792000683486904}{33721923828125} a - \frac{1521451863867966597}{33721923828125} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -135 i - 112\) , \( 915 i + 251\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-135i-112\right){x}+915i+251$
93925.12-c5 93925.12-c $10$
$16$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
93925.12
\( 5^{2} \cdot 13 \cdot 17^{2} \)
\( 5^{17} \cdot 13 \cdot 17^{7} \)
$3.12870$
$(-a-2), (2a+1), (2a+3), (a-4)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{6} \)
$1$
$0.178146761$
2.850348184
\( \frac{267792000683486904}{33721923828125} a - \frac{1521451863867966597}{33721923828125} \)
\( \bigl[i\) , \( 1\) , \( i + 1\) , \( 1131 i + 2756\) , \( 53315 i - 34639\bigr] \) ${y}^2+i{x}{y}+\left(i+1\right){y}={x}^{3}+{x}^{2}+\left(1131i+2756\right){x}+53315i-34639$
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Pari/GP
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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.
