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-g1 76050.5-g $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
76050.5
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)
\( 2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \)
$2.96786$
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2^{3} \)
$1$
$1.208615532$
2.417231064
\( -\frac{16022066761}{998400} \)
\( \bigl[i\) , \( -1\) , \( 0\) , \( -52\) , \( 176\bigr] \) ${y}^2+i{x}{y}={x}^{3}-{x}^{2}-52{x}+176$
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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.
