| 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 |
| 144.1-CMa1 |
144.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
144.1 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$0.53615$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$5.108115717$ |
0.491528664 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^{3}+1$ |
| 324.1-a1 |
324.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
324.1 |
\( 2^{2} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$0.75824$ |
$(a+1), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$5.108115717$ |
0.851352619 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -1\bigr] \) |
${y}^2={x}^{3}-1$ |
| 1296.3-a1 |
1296.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1296.3 |
\( 2^{4} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$1.41853$ |
$(a), (-a+1), (3)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$0.526895372$ |
$5.108115717$ |
2.034539317 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^{3}+1$ |
| 324.3-a1 |
324.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
324.3 |
\( 2^{2} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$1.07231$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$5.108115717$ |
1.203994421 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^{3}+1$ |
| 1296.3-a1 |
1296.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
1296.3 |
\( 2^{4} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$1.77822$ |
$(-a), (a-1), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1.389883247$ |
$5.108115717$ |
2.854180545 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^{3}+1$ |
| 144.3-a1 |
144.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-15}) \) |
$2$ |
$[0, 1]$ |
144.3 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$1.19888$ |
$(2,a), (2,a+1), (3,a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3, 5$ |
2B, 3B.1.1, 5Nn.1.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$5.108115717$ |
1.318909807 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 1296.1-a2 |
1296.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-19}) \) |
$2$ |
$[0, 1]$ |
1296.1 |
\( 2^{4} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$2.33704$ |
$(2), (3)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$3.435460681$ |
$5.108115717$ |
2.683969955 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 324.3-a1 |
324.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-5}) \) |
$2$ |
$[0, 1]$ |
324.3 |
\( 2^{2} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$1.69547$ |
$(2,a+1), (3,a+1), (3,a+2)$ |
0 |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$5.108115717$ |
0.761472932 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 1296.13-a2 |
1296.13-a |
$4$ |
$6$ |
\(\Q(\sqrt{-23}) \) |
$2$ |
$[0, 1]$ |
1296.13 |
\( 2^{4} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$2.57131$ |
$(2,a), (2,a+1), (3,a), (3,a+2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$0.977249529$ |
$5.108115717$ |
4.163535484 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a2 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-6}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$1.07231$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1.959704032$ |
$5.108115717$ |
1.362242211 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 1296.3-a2 |
1296.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1296.3 |
\( 2^{4} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$2.98518$ |
$(2,a), (2,a+1), (3)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1.731513175$ |
$5.108115717$ |
3.177135054 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 144.3-a2 |
144.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-39}) \) |
$2$ |
$[0, 1]$ |
144.3 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$1.93313$ |
$(2,a), (2,a+1), (3,a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$5.108115717$ |
1.635906278 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 324.1-a2 |
324.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-10}) \) |
$2$ |
$[0, 1]$ |
324.1 |
\( 2^{2} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$2.39775$ |
$(2,a), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$1$ |
$5.108115717$ |
1.076885348 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 1296.1-a2 |
1296.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-43}) \) |
$2$ |
$[0, 1]$ |
1296.1 |
\( 2^{4} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$3.51580$ |
$(2), (3)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$10.13493112$ |
$5.108115717$ |
5.263274759 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 144.1-a2 |
144.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-51}) \) |
$2$ |
$[0, 1]$ |
144.1 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$2.21062$ |
$(3,a+1), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3, 17$ |
2B, 3B.1.1, 17Nn.3.7.1 |
$9$ |
\( 2 \cdot 3 \) |
$1$ |
$5.108115717$ |
2.145837811 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 324.1-a2 |
324.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-13}) \) |
$2$ |
$[0, 1]$ |
324.1 |
\( 2^{2} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$2.73386$ |
$(2,a+1), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$1$ |
$5.108115717$ |
0.944490930 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 324.3-b2 |
324.3-b |
$4$ |
$6$ |
\(\Q(\sqrt{-14}) \) |
$2$ |
$[0, 1]$ |
324.3 |
\( 2^{2} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$2.83706$ |
$(2,a), (3,a+1), (3,a+2)$ |
0 |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$5.108115717$ |
1.820268467 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 1296.1-a1 |
1296.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-67}) \) |
$2$ |
$[0, 1]$ |
1296.1 |
\( 2^{4} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$4.38861$ |
$(2), (3)$ |
$0 \le r \le 1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
|
\( 2 \cdot 3 \) |
$1$ |
$5.108115717$ |
6.336371894 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 324.3-a2 |
324.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-17}) \) |
$2$ |
$[0, 1]$ |
324.3 |
\( 2^{2} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$3.12629$ |
$(2,a+1), (3,a+1), (3,a+2)$ |
0 |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$5.108115717$ |
0.412966679 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a2 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-21}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$2.00611$ |
$(2,a+1), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$3.922273758$ |
$5.108115717$ |
2.914725919 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 144.3-a2 |
144.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-87}) \) |
$2$ |
$[0, 1]$ |
144.3 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$2.88728$ |
$(2,a), (2,a+1), (3,a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3, 29$ |
2B, 3B.1.1, 29Nn.1.2.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$5.108115717$ |
0.547647489 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 324.1-b1 |
324.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-22}) \) |
$2$ |
$[0, 1]$ |
324.1 |
\( 2^{2} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$3.55645$ |
$(2,a), (3)$ |
$0 \le r \le 2$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$16$ |
\( 2 \cdot 3 \) |
$1$ |
$5.108115717$ |
2.904143814 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 324.3-b2 |
324.3-b |
$4$ |
$6$ |
\(\Q(\sqrt{-26}) \) |
$2$ |
$[0, 1]$ |
324.3 |
\( 2^{2} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$3.86626$ |
$(2,a), (3,a+1), (3,a+2)$ |
$2$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$5.322351147$ |
$5.108115717$ |
7.109127674 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 144.3-a2 |
144.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-111}) \) |
$2$ |
$[0, 1]$ |
144.3 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$3.26130$ |
$(2,a), (2,a+1), (3,a+1)$ |
$2$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1.565156900$ |
$10.21623143$ |
6.070816489 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a2 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-30}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$2.39775$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$6.332092147$ |
$5.108115717$ |
3.936915259 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-b1 |
36.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-33}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$2.51479$ |
$(2,a+1), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$9.741742587$ |
$5.108115717$ |
2.887481112 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 1296.1-a1 |
1296.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-163}) \) |
$2$ |
$[0, 1]$ |
1296.1 |
\( 2^{4} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$6.84516$ |
$(2), (3)$ |
$0 \le r \le 1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
|
\( 2 \cdot 3 \) |
$1$ |
$5.108115717$ |
7.900684248 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-b1 |
36.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-42}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$2.83706$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$3.552177704$ |
$5.108115717$ |
3.733098958 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a2 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-57}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$3.30508$ |
$(2,a+1), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$11.09155605$ |
$5.108115717$ |
5.002931064 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-b2 |
36.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-66}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$3.55645$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$7.701597638$ |
$5.108115717$ |
3.228333003 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-b2 |
36.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-69}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$3.63638$ |
$(2,a+1), (3,a)$ |
$0 \le r \le 1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
|
\( 2 \cdot 3 \) |
$1$ |
$5.108115717$ |
4.017703663 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a2 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-78}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$3.86626$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$7.851367712$ |
$5.108115717$ |
6.054767623 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-b1 |
36.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-93}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$4.22168$ |
$(2,a+1), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$15.99653684$ |
$5.108115717$ |
5.648770943 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-e2 |
36.1-e |
$4$ |
$6$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$4.48579$ |
$(2,a+1), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$8.930481629$ |
$5.108115717$ |
5.935805961 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-b2 |
36.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-114}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$4.67408$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$10.36149280$ |
$5.108115717$ |
6.609511580 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a2 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-129}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$4.97209$ |
$(2,a+1), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$16.59541278$ |
$10.21623143$ |
4.975797209 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a2 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-138}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$5.14261$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$9.145751061$ |
$10.21623143$ |
2.651241571 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-b2 |
36.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-141}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$5.19821$ |
$(2,a+1), (3,a)$ |
$0 \le r \le 1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
|
\( 2 \cdot 3 \) |
$1$ |
$10.21623143$ |
7.186529734 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-c2 |
36.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{-165}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$5.62323$ |
$(2,a+1), (3,a)$ |
$0 \le r \le 1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.2 |
|
\( 2^{2} \cdot 3 \) |
$1$ |
$10.21623143$ |
8.692788193 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a2 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$5.77456$ |
$(2,a), (3,a)$ |
$0 \le r \le 1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
|
\( 2^{2} \cdot 3 \) |
$1$ |
$10.21623143$ |
4.668165055 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a1 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-177}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$5.82413$ |
$(2,a+1), (3,a)$ |
$0 \le r \le 1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
|
\( 2 \cdot 3 \) |
$1$ |
$10.21623143$ |
6.329951156 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-b2 |
36.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-186}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$5.97036$ |
$(2,a), (3,a)$ |
$0 \le r \le 1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
|
\( 2 \cdot 3 \) |
$1$ |
$10.21623143$ |
8.389456404 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a2 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-201}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$6.20643$ |
$(2,a+1), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$8.332158532$ |
$10.21623143$ |
2.001377273 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a2 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-210}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$6.34386$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2^{2} \cdot 3 \) |
$4.587097928$ |
$10.21623143$ |
4.311792212 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a1 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-213}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$6.38902$ |
$(2,a+1), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$12.56663721$ |
$10.21623143$ |
1.466117400 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a2 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-222}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$6.52260$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$12.77959562$ |
$10.21623143$ |
5.841711276 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-b2 |
36.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{-237}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$6.73936$ |
$(2,a+1), (3,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$9$ |
\( 2^{2} \cdot 3 \) |
$2.201751969$ |
$10.21623143$ |
4.383350490 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-a2 |
36.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-246}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$6.86613$ |
$(2,a), (3,a)$ |
$0 \le r \le 1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
|
\( 2^{2} \cdot 3 \) |
$1$ |
$10.21623143$ |
9.212966610 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 36.1-d2 |
36.1-d |
$4$ |
$6$ |
\(\Q(\sqrt{-249}) \) |
$2$ |
$[0, 1]$ |
36.1 |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$6.90787$ |
$(2,a+1), (3,a)$ |
$0 \le r \le 1$ |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
|
\( 2 \cdot 3 \) |
$1$ |
$10.21623143$ |
8.745856433 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^3+1$ |
| 1296.1-a1 |
1296.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{5}) \) |
$2$ |
$[2, 0]$ |
1296.1 |
\( 2^{4} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{6} \) |
$1.19888$ |
$(2), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$17.69503190$ |
1.318909807 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^{3}+1$ |
*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.
