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-l6
612.1-l
$8$
$12$
\(\Q(\sqrt{17}) \)
$2$
$[2, 0]$
612.1
\( 2^{2} \cdot 3^{2} \cdot 17 \)
\( 2^{12} \cdot 3^{12} \cdot 17^{2} \)
$1.83253$
$(-a+2), (-a-1), (-2a+1), (3)$
$1$
$\Z/2\Z\oplus\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2Cs , 3B.1.1
$1$
\( 2^{4} \cdot 3 \)
$1.335301991$
$7.762158097$
1.675892899
\( \frac{1845026709625}{793152} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -256\) , \( 1550\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-256{x}+1550$
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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.