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
60025.3-CMc1
60025.3-CMc
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
60025.3
\( 5^{2} \cdot 7^{4} \)
\( 5^{3} \cdot 7^{18} \)
$2.79738$
$(2a+1), (7)$
0
$\Z/2\Z$
$\textsf{yes}$
$-4$
$\mathrm{U}(1)$
✓
✓
$9$
\( 2^{2} \)
$1$
$0.496506427$
4.468557847
\( 1728 \)
\( \bigl[i + 1\) , \( i\) , \( i\) , \( -172 i - 86\) , \( -43 i + 86\bigr] \)
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-172i-86\right){x}-43i+86$
60025.3-CMb1
60025.3-CMb
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
60025.3
\( 5^{2} \cdot 7^{4} \)
\( 5^{3} \cdot 7^{12} \)
$2.79738$
$(2a+1), (7)$
0
$\Z/2\Z$
$\textsf{yes}$
$-4$
$\mathrm{U}(1)$
✓
✓
$5$
5Cs.4.1
$1$
\( 2^{2} \)
$1$
$1.313632531$
1.313632531
\( 1728 \)
\( \bigl[i + 1\) , \( i\) , \( i\) , \( 24 i + 12\) , \( 6 i - 12\bigr] \)
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(24i+12\right){x}+6i-12$
60025.3-CMa1
60025.3-CMa
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
60025.3
\( 5^{2} \cdot 7^{4} \)
\( 5^{3} \cdot 7^{6} \)
$2.79738$
$(2a+1), (7)$
0
$\Z/2\Z$
$\textsf{yes}$
$-4$
$\mathrm{U}(1)$
✓
✓
$1$
\( 2^{2} \)
$1$
$3.475544992$
3.475544992
\( 1728 \)
\( \bigl[i + 1\) , \( i\) , \( i\) , \( -4 i - 2\) , \( -i + 2\bigr] \)
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-4i-2\right){x}-i+2$
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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.