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
98.1-a3
98.1-a
$6$
$18$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{12} \cdot 7^{6} \)
$2.17781$
$(2,a+1), (7,a+1), (7,a+6)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3Cs
$4$
\( 2 \)
$1$
$7.027708105$
1.814546430
\( \frac{9938375}{21952} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( 7\) , \( 11\bigr] \)
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+7{x}+11$
98.1-d3
98.1-d
$6$
$18$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{12} \cdot 7^{6} \)
$2.17781$
$(2,a+1), (7,a+1), (7,a+6)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3Cs.1.1
$4$
\( 2 \cdot 3^{2} \)
$1$
$3.925715946$
1.013615498
\( \frac{9938375}{21952} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( 4\) , \( -6\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+4{x}-6$
98.1-i3
98.1-i
$6$
$18$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{24} \cdot 7^{6} \)
$2.17781$
$(2,a+1), (7,a+1), (7,a+6)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3Cs
$1$
\( 2^{2} \cdot 3 \)
$2.104668525$
$3.925715946$
6.399973913
\( \frac{9938375}{21952} \)
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -146 a + 557\) , \( 2753 a - 10667\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-146a+557\right){x}+2753a-10667$
98.1-l3
98.1-l
$6$
$18$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{24} \cdot 7^{6} \)
$2.17781$
$(2,a+1), (7,a+1), (7,a+6)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3Cs.1.1
$1$
\( 2^{2} \cdot 3^{3} \)
$0.684847070$
$7.027708105$
3.728060422
\( \frac{9938375}{21952} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -142 a + 562\) , \( -3184 a + 12340\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-142a+562\right){x}-3184a+12340$
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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.