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
2025.3-CMc1 2025.3-CMc $1$
$1$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
2025.3
\( 3^{4} \cdot 5^{2} \)
\( 3^{18} \cdot 5^{9} \)
$1.19888$
$(2a+1), (3)$
0
$\Z/2\Z$
$\textsf{yes}$
$-4$
$\mathrm{U}(1)$ ✓
✓
$1$
\( 2^{2} \)
$1$
$0.791416409$
0.791416409
\( 1728 \)
\( \bigl[i + 1\) , \( i\) , \( 1\) , \( 13 i + 73\) , \( 37 i - 7\bigr] \) ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(13i+73\right){x}+37i-7$
2025.3-CMb1 2025.3-CMb $1$
$1$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
2025.3
\( 3^{4} \cdot 5^{2} \)
\( 3^{12} \cdot 5^{3} \)
$1.19888$
$(2a+1), (3)$
0
$\Z/2\Z$
$\textsf{yes}$
$-4$
$\mathrm{U}(1)$ ✓
✓
$5$
5Cs.4.1 $1$
\( 2^{2} \)
$1$
$3.065142573$
3.065142573
\( 1728 \)
\( \bigl[i + 1\) , \( i\) , \( i\) , \( 4 i + 2\) , \( i - 2\bigr] \) ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(4i+2\right){x}+i-2$
2025.3-CMa1 2025.3-CMa $1$
$1$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
2025.3
\( 3^{4} \cdot 5^{2} \)
\( 3^{6} \cdot 5^{9} \)
$1.19888$
$(2a+1), (3)$
0
$\Z/2\Z$
$\textsf{yes}$
$-4$
$\mathrm{U}(1)$ ✓
✓
$1$
\( 2^{2} \)
$1$
$2.374249228$
2.374249228
\( 1728 \)
\( \bigl[i + 1\) , \( i\) , \( 1\) , \( i + 7\) , \( 4 i - 1\bigr] \) ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(i+7\right){x}+4i-1$
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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.
