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
86436.3-j1 86436.3-j $2$
$3$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
86436.3
\( 2^{2} \cdot 3^{2} \cdot 7^{4} \)
\( 2^{6} \cdot 3^{6} \cdot 7^{16} \)
$2.65383$
$(-2a+1), (-3a+1), (3a-2), (2)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B.1.1[2] $1$
\( 2 \cdot 3^{3} \)
$1.646058679$
$0.214066493$
4.882526660
\( -\frac{67645179}{8} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -4566 a + 4566\) , \( 119916\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-4566a+4566\right){x}+119916$
15876.2-d1 15876.2-d $2$
$3$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
15876.2
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \)
\( 2^{6} \cdot 3^{6} \cdot 7^{4} \)
$2.65383$
$(a), (-a+1), (-2a+1), (3)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B.1.1 $1$
\( 2 \cdot 3 \)
$1.646058679$
$1.498465456$
2.486060889
\( -\frac{67645179}{8} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -93\) , \( -323\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-93{x}-323$
882.1-a1 882.1-a $2$
$3$
\(\Q(\sqrt{-21}) \) $2$
$[0, 1]$
882.1
\( 2 \cdot 3^{2} \cdot 7^{2} \)
\( 2^{6} \cdot 3^{18} \cdot 7^{4} \)
$4.46319$
$(2,a+1), (3,a), (7,a)$
$2$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B.1.1 $1$
\( 2^{2} \cdot 3 \)
$3.114598589$
$1.498465456$
5.431726561
\( -\frac{67645179}{8} \)
\( \bigl[a\) , \( 0\) , \( a\) , \( -819\) , \( -7882\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^3-819{x}-7882$
1764.1-o1 1764.1-o $2$
$3$
\(\Q(\sqrt{21}) \) $2$
$[2, 0]$
1764.1
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \)
\( 2^{6} \cdot 3^{6} \cdot 7^{4} \)
$2.65383$
$(-a+2), (a+3), (2)$
$2$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B.1.1 $1$
\( 2^{2} \cdot 3^{2} \)
$0.087955346$
$15.21595931$
4.672743225
\( -\frac{67645179}{8} \)
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 465 a - 1302\) , \( -7752 a + 21641\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(465a-1302\right){x}-7752a+21641$
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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.
