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
16.1-a1 16.1-a $1$
$1$
\(\Q(\sqrt{51}) \) $2$
$[2, 0]$
16.1
\( 2^{4} \)
\( 2^{4} \)
$2.55261$
$(a-7)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$1$
\( 1 \)
$2.054516910$
$18.51924189$
5.327799054
\( -27648 \)
\( \bigl[0\) , \( a\) , \( a + 1\) , \( 16\) , \( a - 13\bigr] \) ${y}^2+\left(w+1\right){y}={x}^3+w{x}^2+16{x}+w-13$
16.1-b1 16.1-b $1$
$1$
\(\Q(\sqrt{51}) \) $2$
$[2, 0]$
16.1
\( 2^{4} \)
\( 2^{4} \)
$2.55261$
$(a-7)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$1$
\( 1 \)
$2.054516910$
$18.51924189$
5.327799054
\( -27648 \)
\( \bigl[0\) , \( -a\) , \( a + 1\) , \( 16\) , \( -2 a - 13\bigr] \) ${y}^2+\left(w+1\right){y}={x}^3-w{x}^2+16{x}-2w-13$
16.1-c1 16.1-c $1$
$1$
\(\Q(\sqrt{51}) \) $2$
$[2, 0]$
16.1
\( 2^{4} \)
\( 2^{4} \cdot 3^{12} \)
$2.55261$
$(a-7)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$1$
\( 1 \)
$0.595981725$
$18.51924189$
1.545507295
\( -27648 \)
\( \bigl[0\) , \( 0\) , \( a + 1\) , \( -9\) , \( -2 a - 13\bigr] \) ${y}^2+\left(w+1\right){y}={x}^3-9{x}-2w-13$
16.1-d1 16.1-d $1$
$1$
\(\Q(\sqrt{51}) \) $2$
$[2, 0]$
16.1
\( 2^{4} \)
\( 2^{4} \cdot 3^{12} \)
$2.55261$
$(a-7)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$1$
\( 1 \)
$0.595981725$
$18.51924189$
1.545507295
\( -27648 \)
\( \bigl[0\) , \( 0\) , \( a + 1\) , \( -9\) , \( a - 13\bigr] \) ${y}^2+\left(w+1\right){y}={x}^3-9{x}+w-13$
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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.
