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
50.1-c4 50.1-c $4$
$15$
\(\Q(\sqrt{-30}) \) $2$
$[0, 1]$
50.1
\( 2 \cdot 5^{2} \)
\( 2^{30} \cdot 5^{4} \)
$2.60299$
$(2,a), (5,a)$
$1$
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3, 5$
3B , 5B.1.2 $1$
\( 2 \cdot 3 \cdot 5 \)
$7.913323429$
$1.424166746$
4.938219292
\( \frac{46969655}{32768} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( 22\) , \( -9\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2+22{x}-9$
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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.
