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-b5
600.1-b
$6$
$8$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
600.1
\( 2^{3} \cdot 3 \cdot 5^{2} \)
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \)
$1.53203$
$(a+1), (a), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$1$
$5.822038123$
1.680677638
\( \frac{24918016}{45} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -15\) , \( -18\bigr] \)
${y}^2={x}^{3}-{x}^{2}-15{x}-18$
600.1-c5
600.1-c
$6$
$8$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
600.1
\( 2^{3} \cdot 3 \cdot 5^{2} \)
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \)
$1.53203$
$(a+1), (a), (5)$
0
$\Z/8\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$1$
$25.78585154$
1.860933541
\( \frac{24918016}{45} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -15\) , \( 18\bigr] \)
${y}^2={x}^{3}+{x}^{2}-15{x}+18$
3600.1-l5
3600.1-l
$6$
$8$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
3600.1
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \)
$2.39775$
$(a+1), (a), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2 \)
$1$
$7.074042002$
1.021050013
\( \frac{24918016}{45} \)
\( \bigl[0\) , \( -a\) , \( 0\) , \( -184 a - 321\) , \( 1907 a + 3299\bigr] \)
${y}^2={x}^{3}-a{x}^{2}+\left(-184a-321\right){x}+1907a+3299$
3600.1-p5
3600.1-p
$6$
$8$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
3600.1
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \)
$2.39775$
$(a+1), (a), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2 \)
$1$
$7.074042002$
1.021050013
\( \frac{24918016}{45} \)
\( \bigl[0\) , \( a\) , \( 0\) , \( 184 a - 321\) , \( -1907 a + 3299\bigr] \)
${y}^2={x}^{3}+a{x}^{2}+\left(184a-321\right){x}-1907a+3299$
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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.