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
57800.6-a2 57800.6-a $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
57800.6
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \)
\( 2^{11} \cdot 5^{8} \cdot 17^{3} \)
$2.77109$
$(a+1), (-a-2), (2a+1), (a-4)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{3} \)
$1$
$1.068998078$
2.137996157
\( -\frac{70930131}{15625} a + \frac{299889467}{15625} \)
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -61 i + 37\) , \( 30 i - 201\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-61i+37\right){x}+30i-201$
57800.6-e2 57800.6-e $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
57800.6
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \)
\( 2^{11} \cdot 5^{8} \cdot 17^{9} \)
$2.77109$
$(a+1), (-a-2), (2a+1), (a-4)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{3} \cdot 3 \)
$1$
$0.259270117$
1.555620703
\( -\frac{70930131}{15625} a + \frac{299889467}{15625} \)
\( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( 1198 i - 81\) , \( 11372 i + 9653\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-{x}^{2}+\left(1198i-81\right){x}+11372i+9653$
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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.
