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
49.3-b1
49.3-b
$2$
$7$
\(\Q(\sqrt{53}) \)
$2$
$[2, 0]$
49.3
\( 7^{2} \)
\( - 7^{3} \)
$1.72118$
$(-a+3)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$7$
7B
$1$
\( 2 \)
$0.214508932$
$18.74863282$
2.209718956
\( 4096 a + 12288 \)
\( \bigl[0\) , \( -1\) , \( a\) , \( 2 a - 8\) , \( 5 a - 25\bigr] \)
${y}^2+a{y}={x}^{3}-{x}^{2}+\left(2a-8\right){x}+5a-25$
49.3-c1
49.3-c
$2$
$7$
\(\Q(\sqrt{53}) \)
$2$
$[2, 0]$
49.3
\( 7^{2} \)
\( - 7^{9} \)
$1.72118$
$(-a+3)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$7$
7B.2.1
$1$
\( 2 \)
$0.233677833$
$15.92365378$
2.044477338
\( 4096 a + 12288 \)
\( \bigl[0\) , \( a - 1\) , \( a\) , \( -25 a - 73\) , \( 98 a + 303\bigr] \)
${y}^2+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-25a-73\right){x}+98a+303$
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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.