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
256.6-a1 256.6-a $4$
$4$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
256.6
\( 2^{8} \)
\( 2^{19} \)
$0.94569$
$(a), (-a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $1$
\( 2 \)
$1$
$3.081235671$
1.164597616
\( 237572 a - 523524 \)
\( \bigl[0\) , \( -a\) , \( 0\) , \( 11 a - 1\) , \( -8 a - 12\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(11a-1\right){x}-8a-12$
256.6-a2 256.6-a $4$
$4$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
256.6
\( 2^{8} \)
\( 2^{22} \)
$0.94569$
$(a), (-a+1)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $1$
\( 2^{3} \)
$1$
$3.081235671$
1.164597616
\( -3084 a - 62716 \)
\( \bigl[0\) , \( -a\) , \( 0\) , \( 6 a - 11\) , \( 11 a - 6\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(6a-11\right){x}+11a-6$
256.6-a3 256.6-a $4$
$4$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
256.6
\( 2^{8} \)
\( 2^{14} \)
$0.94569$
$(a), (-a+1)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2Cs $1$
\( 2^{2} \)
$1$
$6.162471343$
1.164597616
\( -336 a + 560 \)
\( \bigl[0\) , \( -a\) , \( 0\) , \( a - 1\) , \( 0\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(a-1\right){x}$
256.6-a4 256.6-a $4$
$4$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
256.6
\( 2^{8} \)
\( 2^{13} \)
$0.94569$
$(a), (-a+1)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $1$
\( 2^{2} \)
$1$
$6.162471343$
1.164597616
\( 2056 a + 2768 \)
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 1\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+{x}$
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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.
