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
1458.1-b3
1458.1-b
$3$
$9$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
1458.1
\( 2 \cdot 3^{6} \)
\( 2 \cdot 3^{6} \)
$1.10435$
$(a+1), (3)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$3$
3B.1.1
$1$
\( 1 \)
$1$
$6.294810866$
0.699423429
\( \frac{11691}{2} a + \frac{65637}{2} \)
\( \bigl[1\) , \( -1\) , \( i + 1\) , \( i - 2\) , \( -2 i + 1\bigr] \)
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}-{x}^{2}+\left(i-2\right){x}-2i+1$
1458.1-e3
1458.1-e
$3$
$9$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
1458.1
\( 2 \cdot 3^{6} \)
\( 2 \cdot 3^{18} \)
$1.10435$
$(a+1), (3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$3$
3B.1.2
$1$
\( 1 \)
$1$
$2.098270288$
2.098270288
\( \frac{11691}{2} a + \frac{65637}{2} \)
\( \bigl[i\) , \( 1\) , \( 1\) , \( 13 i - 15\) , \( -27 i + 12\bigr] \)
${y}^2+i{x}{y}+{y}={x}^{3}+{x}^{2}+\left(13i-15\right){x}-27i+12$
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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.