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-a8
14.1-a
$12$
$24$
3.3.229.1
$3$
$[3, 0]$
14.1
\( 2 \cdot 7 \)
\( - 2^{3} \cdot 7^{6} \)
$2.09932$
$(a+1), (-a^2+2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2, 3$
2B , 3B
$16$
\( 2 \cdot 3 \)
$1$
$0.878533154$
1.393322519
\( \frac{235714709275320239218607561029}{941192} a^{2} + \frac{498514816283375773212941728729}{941192} a + \frac{111453907394329888778466345977}{941192} \)
\( \bigl[1\) , \( -a^{2} + a + 3\) , \( 1\) , \( -1940 a^{2} - 3886 a - 531\) , \( -95053 a^{2} - 199862 a - 42792\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a^{2}+a+3\right){x}^{2}+\left(-1940a^{2}-3886a-531\right){x}-95053a^{2}-199862a-42792$
14.1-b9
14.1-b
$12$
$24$
3.3.229.1
$3$
$[3, 0]$
14.1
\( 2 \cdot 7 \)
\( - 2^{3} \cdot 7^{6} \)
$2.09932$
$(a+1), (-a^2+2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2, 3$
2B , 3B.1.2
$4$
\( 2 \cdot 3 \)
$1$
$1.584878311$
0.628390240
\( \frac{235714709275320239218607561029}{941192} a^{2} + \frac{498514816283375773212941728729}{941192} a + \frac{111453907394329888778466345977}{941192} \)
\( \bigl[a\) , \( -a\) , \( 0\) , \( -1752 a^{2} - 534 a + 5070\) , \( 14642 a^{2} - 26939 a - 100827\bigr] \)
${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-1752a^{2}-534a+5070\right){x}+14642a^{2}-26939a-100827$
Download
displayed columns for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.