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
50225.4-b2 50225.4-b $4$
$6$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
50225.4
\( 5^{2} \cdot 7^{2} \cdot 41 \)
\( 5^{9} \cdot 7^{4} \cdot 41 \)
$2.67546$
$(-a-2), (2a+1), (4a+5), (7)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B.1.1 $1$
\( 2^{2} \cdot 3^{2} \)
$1$
$1.467653677$
1.467653677
\( \frac{90039522816}{31390625} a + \frac{196991000512}{31390625} \)
\( \bigl[i + 1\) , \( 0\) , \( i\) , \( -13 i - 27\) , \( 32 i + 45\bigr] \) ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(-13i-27\right){x}+32i+45$
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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.
