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-c6 76050.5-c $8$
$12$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
76050.5
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)
\( 2^{2} \cdot 3^{12} \cdot 5^{6} \cdot 13^{8} \)
$2.96786$
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$
0
$\Z/2\Z\oplus\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2Cs , 3B.1.1 $1$
\( 2^{6} \cdot 3^{2} \)
$1$
$0.321727865$
1.286911463
\( -\frac{1066631458047677}{488714411250} a + \frac{1105304338731938}{2199214850625} \)
\( \bigl[1\) , \( 0\) , \( i\) , \( -378 i + 284\) , \( 745 i - 4081\bigr] \) ${y}^2+{x}{y}+i{y}={x}^{3}+\left(-378i+284\right){x}+745i-4081$
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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.
