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
83232.1-c1 83232.1-c $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
83232.1
\( 2^{5} \cdot 3^{2} \cdot 17^{2} \)
\( 2^{9} \cdot 3^{4} \cdot 17^{9} \)
$3.03558$
$(a+1), (a+4), (3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{2} \)
$4.658777889$
$0.490394936$
4.569282174
\( \frac{1949750}{9} a - 15622 \)
\( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( 14 i - 516\) , \( -80 i + 4690\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(14i-516\right){x}-80i+4690$
83232.1-e1 83232.1-e $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
83232.1
\( 2^{5} \cdot 3^{2} \cdot 17^{2} \)
\( 2^{9} \cdot 3^{4} \cdot 17^{3} \)
$3.03558$
$(a+1), (a+4), (3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{2} \)
$1.526954636$
$2.021950121$
6.174852224
\( \frac{1949750}{9} a - 15622 \)
\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( -15 i + 26\) , \( 54 i + 61\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-15i+26\right){x}+54i+61$
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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.
