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
14.1-a6
14.1-a
$6$
$18$
\(\Q(\sqrt{14}) \)
$2$
$[2, 0]$
14.1
\( 2 \cdot 7 \)
\( 2^{18} \cdot 7^{4} \)
$1.29349$
$(-a+4), (-2a+7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2^{3} \)
$6.315255337$
$0.436190660$
1.472425245
\( \frac{2251439055699625}{25088} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -2731\) , \( -55146\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-2731{x}-55146$
14.1-b6
14.1-b
$6$
$18$
\(\Q(\sqrt{14}) \)
$2$
$[2, 0]$
14.1
\( 2 \cdot 7 \)
\( 2^{18} \cdot 7^{4} \)
$1.29349$
$(-a+4), (-2a+7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{2} \)
$1$
$7.027708105$
0.939116998
\( \frac{2251439055699625}{25088} \)
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( 327662 a - 1225999\) , \( -197976456 a + 740760069\bigr] \)
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(327662a-1225999\right){x}-197976456a+740760069$
98.1-a6
98.1-a
$6$
$18$
\(\Q(\sqrt{14}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{18} \cdot 7^{10} \)
$2.10397$
$(-a+4), (-2a+7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \)
$7.354422918$
$0.661753152$
2.601420732
\( \frac{2251439055699625}{25088} \)
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 76453 a - 286696\) , \( 22465628 a - 84053094\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(76453a-286696\right){x}+22465628a-84053094$
98.1-b6
98.1-b
$6$
$18$
\(\Q(\sqrt{14}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{18} \cdot 7^{10} \)
$2.10397$
$(-a+4), (-2a+7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \)
$7.354422918$
$0.661753152$
2.601420732
\( \frac{2251439055699625}{25088} \)
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -76453 a - 286696\) , \( -22465628 a - 84053094\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-76453a-286696\right){x}-22465628a-84053094$
112.1-a6
112.1-a
$6$
$18$
\(\Q(\sqrt{14}) \)
$2$
$[2, 0]$
112.1
\( 2^{4} \cdot 7 \)
\( 2^{30} \cdot 7^{4} \)
$2.17539$
$(-a+4), (-2a+7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B
$9$
\( 2^{4} \)
$1.753603583$
$0.218095330$
3.679732717
\( \frac{2251439055699625}{25088} \)
\( \bigl[a\) , \( 0\) , \( a\) , \( -10925\) , \( -452090\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-10925{x}-452090$
112.1-f6
112.1-f
$6$
$18$
\(\Q(\sqrt{14}) \)
$2$
$[2, 0]$
112.1
\( 2^{4} \cdot 7 \)
\( 2^{30} \cdot 7^{4} \)
$2.17539$
$(-a+4), (-2a+7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \)
$1$
$3.513854052$
0.939116998
\( \frac{2251439055699625}{25088} \)
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 1310647 a - 4904004\) , \( -1576286340 a + 5897923441\bigr] \)
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(1310647a-4904004\right){x}-1576286340a+5897923441$
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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.