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
50020.7-a1
50020.7-a
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
50020.7
\( 2^{2} \cdot 5 \cdot 41 \cdot 61 \)
\( 2^{8} \cdot 5 \cdot 41 \cdot 61 \)
$2.67273$
$(a+1), (2a+1), (4a+5), (-6a-5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$1$
\( 1 \)
$1$
$1.241743779$
1.241743779
\( -\frac{8184898022912}{12505} a + \frac{725959869696}{12505} \)
\( \bigl[0\) , \( -i\) , \( 0\) , \( -134 i + 174\) , \( -754 i - 1089\bigr] \)
${y}^2={x}^{3}-i{x}^{2}+\left(-134i+174\right){x}-754i-1089$
50020.7-b1
50020.7-b
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
50020.7
\( 2^{2} \cdot 5 \cdot 41 \cdot 61 \)
\( 2^{8} \cdot 5^{5} \cdot 41 \cdot 61^{3} \)
$2.67273$
$(a+1), (2a+1), (4a+5), (-6a-5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$1$
\( 3 \)
$1$
$1.158803918$
3.476411754
\( -\frac{26391832476672}{29081940625} a + \frac{21513301885696}{29081940625} \)
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 30 i - 1\) , \( 5 i - 60\bigr] \)
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(30i-1\right){x}+5i-60$
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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.