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
600.1-a3
600.1-a
$4$
$4$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
600.1
\( 2^{3} \cdot 3 \cdot 5^{2} \)
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \)
$1.53203$
$(a+1), (a), (5)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$0.222905284$
$3.910645665$
2.013113201
\( \frac{136835858}{1875} \)
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -138 a - 239\) , \( -1187 a - 2059\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-138a-239\right){x}-1187a-2059$
600.1-d3
600.1-d
$4$
$4$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
600.1
\( 2^{3} \cdot 3 \cdot 5^{2} \)
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \)
$1.53203$
$(a+1), (a), (5)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$0.374384071$
$12.39841016$
2.679925586
\( \frac{136835858}{1875} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -136 a - 238\) , \( 1050 a + 1820\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-136a-238\right){x}+1050a+1820$
3600.1-a3
3600.1-a
$4$
$4$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
3600.1
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{10} \cdot 3^{8} \cdot 5^{8} \)
$2.39775$
$(a+1), (a), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{3} \)
$1$
$4.020190251$
2.321057923
\( \frac{136835858}{1875} \)
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -102\) , \( -210 a\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}-102{x}-210a$
3600.1-f3
3600.1-f
$4$
$4$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
3600.1
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{10} \cdot 3^{8} \cdot 5^{8} \)
$2.39775$
$(a+1), (a), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{3} \)
$1$
$4.020190251$
2.321057923
\( \frac{136835858}{1875} \)
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -102\) , \( 210 a\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}-102{x}+210a$
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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.