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
2450.1-a1
2450.1-a
$4$
$4$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
2450.1
\( 2 \cdot 5^{2} \cdot 7^{2} \)
\( 2^{8} \cdot 5^{4} \cdot 7^{2} \)
$2.17781$
$(a+1), (5), (7)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$1.545186441$
$5.572473402$
4.971280465
\( \frac{1367631}{2800} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( 2\) , \( -3\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+2{x}-3$
2450.1-b1
2450.1-b
$4$
$4$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
2450.1
\( 2 \cdot 5^{2} \cdot 7^{2} \)
\( 2^{8} \cdot 5^{4} \cdot 7^{2} \)
$2.17781$
$(a+1), (5), (7)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$0.277818458$
$9.826603825$
3.152346236
\( \frac{1367631}{2800} \)
\( \bigl[a\) , \( 0\) , \( a\) , \( 1\) , \( 2\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}+2$
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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.