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
300.1-f3
300.1-f
$4$
$4$
\(\Q(\sqrt{33}) \)
$2$
$[2, 0]$
300.1
\( 2^{2} \cdot 3 \cdot 5^{2} \)
\( 2^{8} \cdot 3^{10} \cdot 5^{4} \)
$2.13637$
$(-a-2), (-a+3), (-2a+7), (5)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{5} \)
$1$
$4.739285193$
1.650007314
\( \frac{217190179331}{97200} \)
\( \bigl[1\) , \( -a\) , \( 1\) , \( 1002 a - 3379\) , \( 30139 a - 101634\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(1002a-3379\right){x}+30139a-101634$
300.1-i3
300.1-i
$4$
$4$
\(\Q(\sqrt{33}) \)
$2$
$[2, 0]$
300.1
\( 2^{2} \cdot 3 \cdot 5^{2} \)
\( 2^{8} \cdot 3^{10} \cdot 5^{4} \)
$2.13637$
$(-a-2), (-a+3), (-2a+7), (5)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{5} \)
$1$
$4.739285193$
1.650007314
\( \frac{217190179331}{97200} \)
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -1002 a - 2377\) , \( -30139 a - 71495\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-1002a-2377\right){x}-30139a-71495$
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Pari/GP
SageMath
Magma
Oscar
CSV
*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.