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
76050.5-c3
76050.5-c
$8$
$12$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
76050.5
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)
\( 2^{3} \cdot 3^{8} \cdot 5^{27} \cdot 13^{4} \)
$2.96786$
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2, 3$
2B , 3B.1.2
$4$
\( 2^{3} \cdot 3 \)
$1$
$0.053621310$
1.286911463
\( -\frac{383496341948920335819376969}{14142751693725585937500} a - \frac{352885130319133178679105551}{42428255081176757812500} \)
\( \bigl[1\) , \( 0\) , \( i\) , \( 29802 i + 3759\) , \( 1091984 i + 1705272\bigr] \)
${y}^2+{x}{y}+i{y}={x}^{3}+\left(29802i+3759\right){x}+1091984i+1705272$
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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.