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
1.1-a1
1.1-a
$4$
$14$
\(\Q(\sqrt{301}) \)
$2$
$[2, 0]$
1.1
\( 1 \)
\( 1 \)
$1.55032$
$\textsf{none}$
0
$\Z/2\Z$
$\textsf{potential}$
$-7$
$N(\mathrm{U}(1))$
✓
✓
✓
$43$
43Ns.9.1
$1$
\( 1 \)
$1$
$26.16385905$
0.377014941
\( -3375 \)
\( \bigl[a\) , \( -a\) , \( a\) , \( 400 a - 3665\) , \( -12979 a + 119119\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(400a-3665\right){x}-12979a+119119$
1.1-a2
1.1-a
$4$
$14$
\(\Q(\sqrt{301}) \)
$2$
$[2, 0]$
1.1
\( 1 \)
\( 1 \)
$1.55032$
$\textsf{none}$
0
$\Z/2\Z$
$\textsf{potential}$
$-7$
$N(\mathrm{U}(1))$
✓
✓
✓
$43$
43Ns.9.1
$1$
\( 1 \)
$1$
$26.16385905$
0.377014941
\( -3375 \)
\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -402 a - 3265\) , \( 12978 a + 106140\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-402a-3265\right){x}+12978a+106140$
9.2-c1
9.2-c
$4$
$14$
\(\Q(\sqrt{301}) \)
$2$
$[2, 0]$
9.2
\( 3^{2} \)
\( 3^{6} \)
$2.68524$
$(-a+9)$
$1$
$\Z/2\Z$
$\textsf{potential}$
$-7$
$N(\mathrm{U}(1))$
✓
✓
$43$
43Ns.3.1
$1$
\( 2 \)
$2.358552390$
$39.96595486$
5.433159735
\( -3375 \)
\( \bigl[1\) , \( -1\) , \( a\) , \( -13 a - 102\) , \( 90 a + 719\bigr] \)
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-13a-102\right){x}+90a+719$
9.2-c2
9.2-c
$4$
$14$
\(\Q(\sqrt{301}) \)
$2$
$[2, 0]$
9.2
\( 3^{2} \)
\( 3^{6} \)
$2.68524$
$(-a+9)$
$1$
$\Z/2\Z$
$\textsf{potential}$
$-7$
$N(\mathrm{U}(1))$
✓
✓
$43$
43Ns.3.1
$1$
\( 2 \)
$16.50986673$
$5.709422123$
5.433159735
\( -3375 \)
\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 120854 a - 1108595\) , \( 83293389 a - 764189269\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(120854a-1108595\right){x}+83293389a-764189269$
9.3-c1
9.3-c
$4$
$14$
\(\Q(\sqrt{301}) \)
$2$
$[2, 0]$
9.3
\( 3^{2} \)
\( 3^{6} \)
$2.68524$
$(-a-8)$
$1$
$\Z/2\Z$
$\textsf{potential}$
$-7$
$N(\mathrm{U}(1))$
✓
✓
$43$
43Ns.3.1
$1$
\( 2 \)
$16.50986673$
$5.709422123$
5.433159735
\( -3375 \)
\( \bigl[a\) , \( -a\) , \( 1\) , \( -120855 a - 987740\) , \( -83293389 a - 680895880\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-120855a-987740\right){x}-83293389a-680895880$
9.3-c2
9.3-c
$4$
$14$
\(\Q(\sqrt{301}) \)
$2$
$[2, 0]$
9.3
\( 3^{2} \)
\( 3^{6} \)
$2.68524$
$(-a-8)$
$1$
$\Z/2\Z$
$\textsf{potential}$
$-7$
$N(\mathrm{U}(1))$
✓
✓
$43$
43Ns.3.1
$1$
\( 2 \)
$2.358552390$
$39.96595486$
5.433159735
\( -3375 \)
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 12 a - 115\) , \( -91 a + 809\bigr] \)
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(12a-115\right){x}-91a+809$
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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.