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
612.1-l4 612.1-l $8$
$12$
\(\Q(\sqrt{17}) \) $2$
$[2, 0]$
612.1
\( 2^{2} \cdot 3^{2} \cdot 17 \)
\( 2^{36} \cdot 3^{4} \cdot 17^{6} \)
$1.83253$
$(-a+2), (-a-1), (-2a+1), (3)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2Cs , 3B.1.2 $1$
\( 2^{4} \)
$4.005905973$
$0.862462010$
1.675892899
\( \frac{46753267515625}{11591221248} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -751\) , \( -6046\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-751{x}-6046$
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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.
