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
882.1-a3 882.1-a $6$
$8$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
882.1
\( 2 \cdot 3^{2} \cdot 7^{2} \)
\( 2^{4} \cdot 3^{16} \cdot 7^{8} \)
$0.97395$
$(a+1), (3), (7)$
0
$\Z/2\Z\oplus\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2Cs $1$
\( 2^{7} \)
$1$
$0.685091833$
1.370183666
\( \frac{124475734657}{63011844} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -104\) , \( 101\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-104{x}+101$
7938.1-a3 7938.1-a $6$
$8$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
7938.1
\( 2 \cdot 3^{4} \cdot 7^{2} \)
\( 2^{4} \cdot 3^{28} \cdot 7^{8} \)
$1.68693$
$(a+1), (3), (7)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2Cs $4$
\( 2^{5} \)
$1$
$0.228363944$
1.826911554
\( \frac{124475734657}{63011844} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -936\) , \( -3668\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-936{x}-3668$
43218.1-g3 43218.1-g $6$
$8$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
43218.1
\( 2 \cdot 3^{2} \cdot 7^{4} \)
\( 2^{4} \cdot 3^{16} \cdot 7^{20} \)
$2.57682$
$(a+1), (3), (7)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2Cs $1$
\( 2^{7} \)
$4.621623629$
$0.097870261$
7.237112237
\( \frac{124475734657}{63011844} \)
\( \bigl[i\) , \( 0\) , \( 0\) , \( -5097\) , \( 49995\bigr] \) ${y}^2+i{x}{y}={x}^{3}-5097{x}+49995$
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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.
