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-b1
1458.1-b
$3$
$9$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
1458.1
\( 2 \cdot 3^{6} \)
\( 2^{9} \cdot 3^{22} \)
$1.10435$
$(a+1), (3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$3$
3B.1.2
$1$
\( 1 \)
$1$
$0.699423429$
0.699423429
\( \frac{23376651}{32} a - \frac{13799643}{32} \)
\( \bigl[1\) , \( -1\) , \( i + 1\) , \( -284 i + 133\) , \( 337 i - 2152\bigr] \)
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}-{x}^{2}+\left(-284i+133\right){x}+337i-2152$
1458.1-e1
1458.1-e
$3$
$9$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
1458.1
\( 2 \cdot 3^{6} \)
\( 2^{9} \cdot 3^{10} \)
$1.10435$
$(a+1), (3)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$3$
3B.1.1
$1$
\( 3^{2} \)
$1$
$2.098270288$
2.098270288
\( \frac{23376651}{32} a - \frac{13799643}{32} \)
\( \bigl[i\) , \( 1\) , \( 1\) , \( -32 i + 15\) , \( 2 i - 75\bigr] \)
${y}^2+i{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-32i+15\right){x}+2i-75$
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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.