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
103684.2-b1 103684.2-b $2$
$2$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
103684.2
\( 2^{2} \cdot 7^{2} \cdot 23^{2} \)
\( 2^{4} \cdot 7^{6} \cdot 23^{4} \)
$2.77733$
$(-3a+1), (3a-2), (2), (23)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2^{2} \cdot 3^{2} \)
$0.166893643$
$1.472754829$
5.108720285
\( -\frac{60698457}{725788} \)
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 8 a\) , \( 44\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+8a{x}+44$
51842.1-a1 51842.1-a $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
51842.1
\( 2 \cdot 7^{2} \cdot 23^{2} \)
\( 2^{4} \cdot 7^{6} \cdot 23^{4} \)
$2.69674$
$(a+1), (7), (23)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2^{2} \cdot 3 \)
$0.166893643$
$1.472754829$
1.474760515
\( -\frac{60698457}{725788} \)
\( \bigl[i\) , \( 1\) , \( 0\) , \( -8\) , \( -44\bigr] \) ${y}^2+i{x}{y}={x}^{3}+{x}^{2}-8{x}-44$
14812.5-a1 14812.5-a $4$
$4$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
14812.5
\( 2^{2} \cdot 7 \cdot 23^{2} \)
\( 2^{4} \cdot 7^{6} \cdot 23^{4} \)
$2.60820$
$(a), (-a+1), (-2a+1), (-2a+5), (2a+3)$
$2$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2Cs $1$
\( 2^{5} \cdot 3 \)
$0.111853620$
$1.472754829$
2.988633901
\( -\frac{60698457}{725788} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -8\) , \( 44\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-8{x}+44$
Download
displayed columns for
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.
