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
600.1-o1 600.1-o $8$
$16$
\(\Q(\sqrt{6}) \) $2$
$[2, 0]$
600.1
\( 2^{3} \cdot 3 \cdot 5^{2} \)
\( - 2^{11} \cdot 3 \cdot 5^{2} \)
$2.16662$
$(-a+2), (a+3), (-a-1), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $4$
\( 1 \)
$1.520929017$
$5.822038123$
3.615000532
\( -\frac{1705382858958144777649}{15} a + 278487854702414976744 \)
\( \bigl[a\) , \( 1\) , \( a\) , \( 2450 a - 6801\) , \( -109970 a + 277443\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(2450a-6801\right){x}-109970a+277443$
600.1-p1 600.1-p $8$
$16$
\(\Q(\sqrt{6}) \) $2$
$[2, 0]$
600.1
\( 2^{3} \cdot 3 \cdot 5^{2} \)
\( - 2^{11} \cdot 3 \cdot 5^{2} \)
$2.16662$
$(-a+2), (a+3), (-a-1), (-a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $256$
\( 1 \)
$1$
$0.201451965$
2.631757453
\( -\frac{1705382858958144777649}{15} a + 278487854702414976744 \)
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( -15950 a - 39200\) , \( -1756612 a - 4303380\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-15950a-39200\right){x}-1756612a-4303380$
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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.
