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
86700.1-g2 86700.1-g $4$
$6$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
86700.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)
\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 17^{4} \)
$2.65585$
$(-2a+1), (2), (5), (17)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3B.1.1[2] $1$
\( 2^{3} \cdot 3^{3} \)
$0.608349030$
$0.703702262$
5.931880344
\( \frac{1723683599}{62424000} \)
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 25 a - 25\) , \( -375\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(25a-25\right){x}-375$
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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.
