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
45000.3-g1
45000.3-g
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
45000.3
\( 2^{3} \cdot 3^{2} \cdot 5^{4} \)
\( 2^{4} \cdot 3^{2} \cdot 5^{16} \)
$2.60299$
$(a+1), (-a-2), (2a+1), (3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \)
$1$
$1.063032980$
2.126065960
\( \frac{5120}{3} \)
\( \bigl[0\) , \( i\) , \( i + 1\) , \( -42\) , \( -26 i\bigr] \)
${y}^2+\left(i+1\right){y}={x}^{3}+i{x}^{2}-42{x}-26i$
45000.3-m1
45000.3-m
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
45000.3
\( 2^{3} \cdot 3^{2} \cdot 5^{4} \)
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \)
$2.60299$
$(a+1), (-a-2), (2a+1), (3)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \)
$0.196786478$
$5.315164901$
4.183810326
\( \frac{5120}{3} \)
\( \bigl[0\) , \( -i\) , \( i + 1\) , \( -2\) , \( 0\bigr] \)
${y}^2+\left(i+1\right){y}={x}^{3}-i{x}^{2}-2{x}$
90000.3-d1
90000.3-d
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
90000.3
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \)
\( 2^{4} \cdot 3^{2} \cdot 5^{10} \)
$3.09549$
$(a+1), (-a-2), (2a+1), (3)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$1$
\( 3 \)
$0.315700749$
$2.377014006$
4.502550626
\( \frac{5120}{3} \)
\( \bigl[0\) , \( -i + 1\) , \( i + 1\) , \( 6 i + 5\) , \( i + 4\bigr] \)
${y}^2+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(6i+5\right){x}+i+4$
90000.3-p1
90000.3-p
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
90000.3
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \)
\( 2^{4} \cdot 3^{2} \cdot 5^{10} \)
$3.09549$
$(a+1), (-a-2), (2a+1), (3)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$1$
\( 3 \)
$0.315700749$
$2.377014006$
4.502550626
\( \frac{5120}{3} \)
\( \bigl[0\) , \( -i - 1\) , \( i + 1\) , \( -6 i + 5\) , \( i - 4\bigr] \)
${y}^2+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-6i+5\right){x}+i-4$
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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.