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
100.1-a4
100.1-a
$4$
$15$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
100.1
\( 2^{2} \cdot 5^{2} \)
\( 2^{30} \cdot 5^{10} \)
$0.63186$
$(-2a+1), (2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3, 5$
3B , 5B.1.4[2]
$1$
\( 1 \)
$1$
$1.426745946$
0.638060184
\( \frac{46969655}{32768} \)
\( \bigl[\phi\) , \( \phi - 1\) , \( \phi + 1\) , \( -111 \phi + 220\) , \( -287 \phi + 528\bigr] \)
${y}^2+\phi{x}{y}+\left(\phi+1\right){y}={x}^{3}+\left(\phi-1\right){x}^{2}+\left(-111\phi+220\right){x}-287\phi+528$
100.1-b4
100.1-b
$4$
$15$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
100.1
\( 2^{2} \cdot 5^{2} \)
\( 2^{30} \cdot 5^{4} \)
$0.63186$
$(-2a+1), (2)$
0
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3, 5$
3B.1.2 , 5B.1.1[2]
$1$
\( 3 \cdot 5 \)
$1$
$2.543021453$
0.682364260
\( \frac{46969655}{32768} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( 22\) , \( -9\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+22{x}-9$
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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.