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
26.1-a2
26.1-a
$2$
$7$
\(\Q(\sqrt{26}) \)
$2$
$[2, 0]$
26.1
\( 2 \cdot 13 \)
\( 2^{26} \cdot 13^{2} \)
$2.05778$
$(2,a), (13,a)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$7$
7B.6.1
$1$
\( 2^{2} \)
$0.197635432$
$18.89430030$
2.929334318
\( -\frac{2146689}{1664} \)
\( \bigl[a\) , \( 1\) , \( a\) , \( -5\) , \( 3\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-5{x}+3$
26.1-b2
26.1-b
$2$
$7$
\(\Q(\sqrt{26}) \)
$2$
$[2, 0]$
26.1
\( 2 \cdot 13 \)
\( 2^{14} \cdot 13^{2} \)
$2.05778$
$(2,a), (13,a)$
$1$
$\Z/7\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$7$
7B.1.1
$1$
\( 2^{2} \cdot 7 \)
$2.050111235$
$18.89430030$
4.340937337
\( -\frac{2146689}{1664} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -3\) , \( 3\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-3{x}+3$
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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.