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
5525.5-a1 5525.5-a $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
5525.5
\( 5^{2} \cdot 13 \cdot 17 \)
\( 5^{3} \cdot 13^{2} \cdot 17^{2} \)
$1.54082$
$(-a-2), (2a+1), (-3a-2), (a+4)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $1$
\( 2^{3} \)
$0.121163146$
$2.959933985$
1.434539657
\( \frac{37004480699}{1221025} a - \frac{80300939102}{1221025} \)
\( \bigl[1\) , \( -i\) , \( 1\) , \( -6 i - 11\) , \( 14 i + 8\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-6i-11\right){x}+14i+8$
93925.7-c1 93925.7-c $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
93925.7
\( 5^{2} \cdot 13 \cdot 17^{2} \)
\( 5^{3} \cdot 13^{2} \cdot 17^{8} \)
$3.12870$
$(-a-2), (2a+1), (-3a-2), (a+4)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{4} \)
$0.874030139$
$0.717889439$
5.019656056
\( \frac{37004480699}{1221025} a - \frac{80300939102}{1221025} \)
\( \bigl[i\) , \( -i + 1\) , \( 1\) , \( 168 i + 106\) , \( -49 i + 1178\bigr] \) ${y}^2+i{x}{y}+{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(168i+106\right){x}-49i+1178$
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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.
