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
2025.1-a1
2025.1-a
$1$
$1$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
2025.1
\( 3^{4} \cdot 5^{2} \)
\( 3^{10} \cdot 5^{4} \)
$2.07652$
$(a), (5)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \)
$1.822842821$
$2.900847029$
6.105811863
\( -\frac{12288}{25} \)
\( \bigl[0\) , \( 0\) , \( a\) , \( -3\) , \( -5\bigr] \)
${y}^2+a{y}={x}^{3}-3{x}-5$
2025.1-b1
2025.1-b
$1$
$1$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
2025.1
\( 3^{4} \cdot 5^{2} \)
\( 3^{10} \cdot 5^{4} \)
$2.07652$
$(a), (5)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \cdot 3 \)
$0.029545685$
$14.29917246$
1.463509662
\( -\frac{12288}{25} \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( -3\) , \( 4\bigr] \)
${y}^2+{y}={x}^{3}-3{x}+4$
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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.