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-a2
98.1-a
$6$
$18$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{4} \cdot 7^{2} \)
$2.17781$
$(2,a+1), (7,a+1), (7,a+6)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B
$4$
\( 2 \)
$1$
$7.027708105$
1.814546430
\( -\frac{15625}{28} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( 2\) , \( 0\bigr] \)
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+2{x}$
98.1-d2
98.1-d
$6$
$18$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{4} \cdot 7^{2} \)
$2.17781$
$(2,a+1), (7,a+1), (7,a+6)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$4$
\( 2 \)
$1$
$35.33144352$
1.013615498
\( -\frac{15625}{28} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( 0\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}$
98.1-i2
98.1-i
$6$
$18$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{16} \cdot 7^{2} \)
$2.17781$
$(2,a+1), (7,a+1), (7,a+6)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{2} \)
$0.701556175$
$35.33144352$
6.399973913
\( -\frac{15625}{28} \)
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 14 a - 63\) , \( -111 a + 425\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(14a-63\right){x}-111a+425$
98.1-l2
98.1-l
$6$
$18$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{16} \cdot 7^{2} \)
$2.17781$
$(2,a+1), (7,a+1), (7,a+6)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2^{2} \)
$2.054541211$
$7.027708105$
3.728060422
\( -\frac{15625}{28} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 18 a - 58\) , \( 160 a - 612\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(18a-58\right){x}+160a-612$
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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.