| 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 |
| 400.1-a2 |
400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
400.1 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$0.69217$ |
$(2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$3.211547828$ |
0.618062667 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -4 a\) , \( 4\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}-4a{x}+4$ |
| 100.2-a6 |
100.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
100.2 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{4} \) |
$0.56516$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$6.423095656$ |
0.535257971 |
\( \frac{21296}{25} \) |
\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -i - 1\) , \( -i\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}-i$ |
| 400.3-a2 |
400.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$1.05731$ |
$(a), (-a+1), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$3.211547828$ |
1.213850982 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+4{x}+4$ |
| 100.1-a2 |
100.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
100.1 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{4} \) |
$0.79925$ |
$(a), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$0.413436914$ |
$6.423095656$ |
0.625917922 |
\( \frac{21296}{25} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 2\) , \( 0\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+2{x}$ |
| 400.2-a2 |
400.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
400.2 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$1.32541$ |
$(-a-1), (a-2), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.728259321$ |
$3.211547828$ |
0.940248913 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+4{x}+4$ |
| 80.3-a2 |
80.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-15}) \) |
$2$ |
$[0, 1]$ |
80.3 |
\( 2^{4} \cdot 5 \) |
\( 2^{16} \cdot 5^{4} \) |
$1.03504$ |
$(2,a), (2,a+1), (5,a+2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$0.652442533$ |
$3.211547828$ |
1.082034294 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.2-a2 |
400.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-19}) \) |
$2$ |
$[0, 1]$ |
400.2 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$1.74193$ |
$(-a), (a-1), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$2.695241356$ |
$3.211547828$ |
2.647731804 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 20.1-a2 |
20.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-5}) \) |
$2$ |
$[0, 1]$ |
20.1 |
\( 2^{2} \cdot 5 \) |
\( 2^{16} \cdot 5^{4} \) |
$0.84511$ |
$(2,a+1), (-a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$6.423095656$ |
0.478749283 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.3-a2 |
400.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-23}) \) |
$2$ |
$[0, 1]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$1.91654$ |
$(2,a), (2,a+1), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$3.211547828$ |
0.669654013 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.2-a2 |
100.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-6}) \) |
$2$ |
$[0, 1]$ |
100.2 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$1.38434$ |
$(2,a), (5,a+2), (5,a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$6.423095656$ |
0.874072607 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.8-a2 |
400.8-a |
$4$ |
$6$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
400.8 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.22502$ |
$(2,a), (2,a+1), (5,a+1), (5,a+3)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1.460649671$ |
$3.211547828$ |
3.370075294 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 80.1-a2 |
80.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-35}) \) |
$2$ |
$[0, 1]$ |
80.1 |
\( 2^{4} \cdot 5 \) |
\( 2^{16} \cdot 5^{4} \) |
$1.58105$ |
$(5,a+2), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$3.388750362$ |
$3.211547828$ |
1.226390252 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.8-a2 |
400.8-a |
$4$ |
$6$ |
\(\Q(\sqrt{-39}) \) |
$2$ |
$[0, 1]$ |
400.8 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.49566$ |
$(2,a), (2,a+1), (5,a), (5,a+4)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1.083965782$ |
$3.211547828$ |
2.229757611 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 20.1-a2 |
20.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-10}) \) |
$2$ |
$[0, 1]$ |
20.1 |
\( 2^{2} \cdot 5 \) |
\( 2^{16} \cdot 5^{4} \) |
$1.19516$ |
$(2,a), (5,a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$1$ |
$6.423095656$ |
1.354107460 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.1-a2 |
400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-43}) \) |
$2$ |
$[0, 1]$ |
400.1 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.62052$ |
$(2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$9$ |
\( 2 \cdot 3 \) |
$1$ |
$3.211547828$ |
1.469269357 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.3-a2 |
400.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-47}) \) |
$2$ |
$[0, 1]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.73970$ |
$(2,a), (2,a+1), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$3.211547828$ |
0.468452396 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.2-a2 |
400.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-51}) \) |
$2$ |
$[0, 1]$ |
400.2 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.85390$ |
$(5,a+1), (5,a+3), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$4.060499718$ |
$3.211547828$ |
2.434711614 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.1-b2 |
100.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-13}) \) |
$2$ |
$[0, 1]$ |
100.1 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.03770$ |
$(2,a+1), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$5.851833251$ |
$6.423095656$ |
3.474908723 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 80.3-b2 |
80.3-b |
$4$ |
$6$ |
\(\Q(\sqrt{-55}) \) |
$2$ |
$[0, 1]$ |
80.3 |
\( 2^{4} \cdot 5 \) |
\( 2^{16} \cdot 5^{4} \) |
$1.98195$ |
$(2,a), (2,a+1), (5,a+2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$3.764376792$ |
$3.211547828$ |
3.260289253 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.2-a2 |
100.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-14}) \) |
$2$ |
$[0, 1]$ |
100.2 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.11462$ |
$(2,a), (5,a+1), (5,a+4)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$6.423095656$ |
0.572214840 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.2-a2 |
400.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-59}) \) |
$2$ |
$[0, 1]$ |
400.2 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.06958$ |
$(5,a), (5,a+4), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$2.719854186$ |
$3.211547828$ |
1.516256748 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.1-a2 |
400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-67}) \) |
$2$ |
$[0, 1]$ |
400.1 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.27108$ |
$(2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$9$ |
\( 2 \cdot 3 \) |
$1$ |
$3.211547828$ |
1.177059041 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.1-a2 |
100.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-17}) \) |
$2$ |
$[0, 1]$ |
100.1 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.33020$ |
$(2,a+1), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$4.019703220$ |
$6.423095656$ |
2.087337445 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.8-a2 |
400.8-a |
$4$ |
$6$ |
\(\Q(\sqrt{-71}) \) |
$2$ |
$[0, 1]$ |
400.8 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.36731$ |
$(2,a), (2,a+1), (5,a+1), (5,a+3)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$0.883634095$ |
$3.211547828$ |
1.347155338 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.8-a2 |
400.8-a |
$4$ |
$6$ |
\(\Q(\sqrt{-79}) \) |
$2$ |
$[0, 1]$ |
400.8 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.55195$ |
$(2,a), (2,a+1), (5,a), (5,a+4)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$2.906957930$ |
$3.211547828$ |
4.201453744 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.1-a2 |
400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-83}) \) |
$2$ |
$[0, 1]$ |
400.1 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.64076$ |
$(2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$9$ |
\( 2 \cdot 3 \) |
$1$ |
$3.211547828$ |
1.057539512 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.2-a2 |
100.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-21}) \) |
$2$ |
$[0, 1]$ |
100.2 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.58987$ |
$(2,a+1), (5,a+2), (5,a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$6.423095656$ |
0.467211461 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.3-a2 |
400.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-87}) \) |
$2$ |
$[0, 1]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.72746$ |
$(2,a), (2,a+1), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$3.211547828$ |
1.377256273 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.1-b2 |
100.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-22}) \) |
$2$ |
$[0, 1]$ |
100.1 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.65082$ |
$(2,a), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$9.112056423$ |
$6.423095656$ |
4.159376128 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.2-a2 |
400.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-91}) \) |
$2$ |
$[0, 1]$ |
400.2 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.81219$ |
$(5,a+1), (5,a+3), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$10.96201925$ |
$3.211547828$ |
4.920655890 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 80.3-a2 |
80.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-95}) \) |
$2$ |
$[0, 1]$ |
80.3 |
\( 2^{4} \cdot 5 \) |
\( 2^{16} \cdot 5^{4} \) |
$2.60479$ |
$(2,a), (2,a+1), (5,a+2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$2.408211758$ |
$3.211547828$ |
1.587001216 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.3-a2 |
400.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$4.05576$ |
$(2,a), (2,a+1), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$9$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$3.211547828$ |
2.847988893 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.2-a2 |
100.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-26}) \) |
$2$ |
$[0, 1]$ |
100.2 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.88174$ |
$(2,a), (5,a+2), (5,a+3)$ |
$2$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$2.011236000$ |
$6.423095656$ |
3.377998766 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.1-a2 |
400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-107}) \) |
$2$ |
$[0, 1]$ |
400.1 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$4.13376$ |
$(2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$9$ |
\( 2 \cdot 3 \) |
$1$ |
$3.211547828$ |
0.931416141 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.8-a2 |
400.8-a |
$4$ |
$6$ |
\(\Q(\sqrt{-111}) \) |
$2$ |
$[0, 1]$ |
400.8 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$4.21032$ |
$(2,a), (2,a+1), (5,a+1), (5,a+3)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$3.188147050$ |
$6.423095656$ |
3.887328485 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 80.1-a2 |
80.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-115}) \) |
$2$ |
$[0, 1]$ |
80.1 |
\( 2^{4} \cdot 5 \) |
\( 2^{16} \cdot 5^{4} \) |
$2.86589$ |
$(5,a+2), (2)$ |
$0 \le r \le 1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
|
\( 2 \cdot 3 \) |
$1$ |
$3.211547828$ |
4.405036475 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.8-a2 |
400.8-a |
$4$ |
$6$ |
\(\Q(\sqrt{-119}) \) |
$2$ |
$[0, 1]$ |
400.8 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$4.35940$ |
$(2,a), (2,a+1), (5,a), (5,a+4)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1.241553870$ |
$6.423095656$ |
1.462064300 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 20.1-a2 |
20.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-30}) \) |
$2$ |
$[0, 1]$ |
20.1 |
\( 2^{2} \cdot 5 \) |
\( 2^{16} \cdot 5^{4} \) |
$2.07008$ |
$(2,a), (5,a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$1$ |
$6.423095656$ |
0.781794306 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.1-c2 |
100.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{-33}) \) |
$2$ |
$[0, 1]$ |
100.1 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.24658$ |
$(2,a+1), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$9.609082689$ |
$6.423095656$ |
3.581360966 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.2-a2 |
100.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-34}) \) |
$2$ |
$[0, 1]$ |
100.2 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.29540$ |
$(2,a), (5,a+1), (5,a+4)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$6.423095656$ |
1.468735756 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.1-b2 |
100.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-37}) \) |
$2$ |
$[0, 1]$ |
100.1 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.43771$ |
$(2,a+1), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$13.27243138$ |
$6.423095656$ |
4.671676504 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.1-b2 |
100.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-38}) \) |
$2$ |
$[0, 1]$ |
100.1 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.48386$ |
$(2,a), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$7.807624887$ |
$6.423095656$ |
2.711753919 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 80.1-b2 |
80.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-155}) \) |
$2$ |
$[0, 1]$ |
80.1 |
\( 2^{4} \cdot 5 \) |
\( 2^{16} \cdot 5^{4} \) |
$3.32718$ |
$(5,a+2), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$8.363293705$ |
$3.211547828$ |
1.438250834 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 400.1-a2 |
400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-163}) \) |
$2$ |
$[0, 1]$ |
400.1 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$5.10208$ |
$(2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$9$ |
\( 2 \cdot 3 \) |
$1$ |
$3.211547828$ |
0.754643519 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.2-b2 |
100.2-b |
$4$ |
$6$ |
\(\Q(\sqrt{-41}) \) |
$2$ |
$[0, 1]$ |
100.2 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.61877$ |
$(2,a+1), (5,a+2), (5,a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$6.423095656$ |
0.334373003 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.1-c2 |
100.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{-42}) \) |
$2$ |
$[0, 1]$ |
100.1 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.66263$ |
$(2,a), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$2.985483408$ |
$6.423095656$ |
3.945237416 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.2-b2 |
100.2-b |
$4$ |
$6$ |
\(\Q(\sqrt{-46}) \) |
$2$ |
$[0, 1]$ |
100.2 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$3.83308$ |
$(2,a), (5,a+2), (5,a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$6.423095656$ |
0.315677929 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 80.1-b2 |
80.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-195}) \) |
$2$ |
$[0, 1]$ |
80.1 |
\( 2^{4} \cdot 5 \) |
\( 2^{16} \cdot 5^{4} \) |
$3.73189$ |
$(5,a+2), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$6.450523219$ |
$3.211547828$ |
3.956040815 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 100.1-b2 |
100.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-53}) \) |
$2$ |
$[0, 1]$ |
100.1 |
\( 2^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$4.11440$ |
$(2,a+1), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$6.679643011$ |
$6.423095656$ |
1.964438571 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
| 80.3-b2 |
80.3-b |
$4$ |
$6$ |
\(\Q(\sqrt{-215}) \) |
$2$ |
$[0, 1]$ |
80.3 |
\( 2^{4} \cdot 5 \) |
\( 2^{16} \cdot 5^{4} \) |
$3.91859$ |
$(2,a), (2,a+1), (5,a+2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$5.807204709$ |
$3.211547828$ |
2.543854663 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 4\bigr] \) |
${y}^2={x}^3+{x}^2+4{x}+4$ |
*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.
