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-a4
2450.1-a
$4$
$4$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
2450.1
\( 2 \cdot 5^{2} \cdot 7^{2} \)
\( 2^{2} \cdot 5^{4} \cdot 7^{8} \)
$1.77818$
$(a), (5), (7)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$4$
\( 2^{4} \)
$1$
$0.924987233$
2.616258981
\( \frac{2121328796049}{120050} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -268\) , \( -1619\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-268{x}-1619$
19600.1-d4
19600.1-d
$4$
$4$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
19600.1
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \)
\( 2^{14} \cdot 5^{4} \cdot 7^{8} \)
$2.99053$
$(a), (5), (7)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$4$
\( 2^{5} \)
$0.613941328$
$0.462493616$
3.212459027
\( \frac{2121328796049}{120050} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( -1070\) , \( -12950\bigr] \)
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-1070{x}-12950$
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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.