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
33800.8-a2 33800.8-a $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
33800.8
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \)
\( 2^{4} \cdot 5^{9} \cdot 13^{8} \)
$2.42325$
$(a+1), (2a+1), (-3a-2), (2a+3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{4} \)
$0.647276450$
$0.578523154$
2.995715314
\( -\frac{6308647328}{4826809} a + \frac{9699305648}{4826809} \)
\( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( 145 i + 41\) , \( -48 i - 524\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(145i+41\right){x}-48i-524$
67600.8-h2 67600.8-h $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
67600.8
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)
\( 2^{4} \cdot 5^{3} \cdot 13^{8} \)
$2.88174$
$(a+1), (2a+1), (-3a-2), (2a+3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{3} \)
$1$
$1.293617100$
2.587234201
\( -\frac{6308647328}{4826809} a + \frac{9699305648}{4826809} \)
\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( -24 i + 18\) , \( 10 i - 29\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-24i+18\right){x}+10i-29$
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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.
