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
25.1-a1
25.1-a
$1$
$1$
\(\Q(\sqrt{77}) \)
$2$
$[2, 0]$
25.1
\( 5^{2} \)
\( 5^{6} \)
$1.75335$
$(5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3Nn
$1$
\( 1 \)
$1$
$12.17791294$
1.387801979
\( -\frac{110592}{125} \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( -a - 4\) , \( -2 a - 8\bigr] \)
${y}^2+{y}={x}^{3}+\left(-a-4\right){x}-2a-8$
25.1-b1
25.1-b
$1$
$1$
\(\Q(\sqrt{77}) \)
$2$
$[2, 0]$
25.1
\( 5^{2} \)
\( 5^{6} \)
$1.75335$
$(5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3Nn
$1$
\( 1 \)
$1$
$12.17791294$
1.387801979
\( -\frac{110592}{125} \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( a - 5\) , \( 2 a - 10\bigr] \)
${y}^2+{y}={x}^{3}+\left(a-5\right){x}+2a-10$
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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.