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-b5
14.1-b
$6$
$18$
\(\Q(\sqrt{42}) \)
$2$
$[2, 0]$
14.1
\( 2 \cdot 7 \)
\( 2^{14} \cdot 7^{4} \)
$2.24040$
$(2,a), (a+7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2^{3} \)
$1$
$7.027708105$
1.084398903
\( \frac{128787625}{98} \)
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -2196 a - 14124\) , \( -145440 a - 942344\bigr] \)
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2196a-14124\right){x}-145440a-942344$
14.1-c5
14.1-c
$6$
$18$
\(\Q(\sqrt{42}) \)
$2$
$[2, 0]$
14.1
\( 2 \cdot 7 \)
\( 2^{2} \cdot 7^{4} \)
$2.24040$
$(2,a), (a+7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \)
$1.742029896$
$7.027708105$
3.778110619
\( \frac{128787625}{98} \)
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -551 a - 3496\) , \( -19280 a - 124824\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-551a-3496\right){x}-19280a-124824$
14.1-j5
14.1-j
$6$
$18$
\(\Q(\sqrt{42}) \)
$2$
$[2, 0]$
14.1
\( 2 \cdot 7 \)
\( 2^{2} \cdot 7^{4} \)
$2.24040$
$(2,a), (a+7)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{3} \)
$1.461288329$
$35.33144352$
1.770354089
\( \frac{128787625}{98} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -11\) , \( 12\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-11{x}+12$
14.1-k5
14.1-k
$6$
$18$
\(\Q(\sqrt{42}) \)
$2$
$[2, 0]$
14.1
\( 2 \cdot 7 \)
\( 2^{14} \cdot 7^{4} \)
$2.24040$
$(2,a), (a+7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \)
$1$
$35.33144352$
5.451760094
\( \frac{128787625}{98} \)
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -1474943 a - 9558659\) , \( 2479075808 a + 16066247624\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1474943a-9558659\right){x}+2479075808a+16066247624$
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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.