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-a1
26.1-a
$2$
$7$
\(\Q(\sqrt{26}) \)
$2$
$[2, 0]$
26.1
\( 2 \cdot 13 \)
\( 2^{14} \cdot 13^{14} \)
$2.05778$
$(2,a), (13,a)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$7$
7B.6.3
$1$
\( 2^{2} \cdot 7 \)
$1.383448027$
$0.385597965$
2.929334318
\( -\frac{1064019559329}{125497034} \)
\( \bigl[a\) , \( 1\) , \( a\) , \( -845\) , \( -12597\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-845{x}-12597$
26.1-b1
26.1-b
$2$
$7$
\(\Q(\sqrt{26}) \)
$2$
$[2, 0]$
26.1
\( 2 \cdot 13 \)
\( 2^{2} \cdot 13^{14} \)
$2.05778$
$(2,a), (13,a)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$7$
7B.1.3
$1$
\( 2^{2} \)
$14.35077864$
$0.385597965$
4.340937337
\( -\frac{1064019559329}{125497034} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -213\) , \( -1257\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-213{x}-1257$
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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.