| 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 |
| 147.2-a6 |
147.2-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147.2 |
\( 3 \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$0.53893$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.724153859$ |
0.497720347 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^{3}-39{x}+90$ |
| 441.1-a4 |
441.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
441.1 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$0.81899$ |
$(3), (7)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.492598417$ |
$1.724153859$ |
0.643367330 |
\( \frac{6570725617}{45927} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -39\) , \( -90\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-39{x}-90$ |
| 63.1-a4 |
63.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
63.1 |
\( 3^{2} \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$0.66607$ |
$(-2a+1), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.724153859$ |
0.325834452 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^{3}-39{x}+90$ |
| 441.2-a4 |
441.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$1.15823$ |
$(-a-1), (a-1), (7)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$1.724153859$ |
1.219160885 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^{3}-39{x}+90$ |
| 441.2-a4 |
441.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$1.35814$ |
$(-a), (a-1), (7)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$1.724153859$ |
1.039703896 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^{3}-39{x}+90$ |
| 147.1-a4 |
147.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-15}) \) |
$2$ |
$[0, 1]$ |
147.1 |
\( 3 \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$1.20507$ |
$(3,a+1), (7)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.890299589$ |
$1.724153859$ |
0.841513386 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.2-a4 |
441.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-19}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$1.78495$ |
$(-a-1), (a-2), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$1.724153859$ |
0.395548022 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.5-c4 |
441.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-5}) \) |
$2$ |
$[0, 1]$ |
441.5 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$1.83132$ |
$(3,a+1), (3,a+2), (7,a+3), (7,a+4)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1.444790239$ |
$1.724153859$ |
2.228054507 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.2-a4 |
441.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-23}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$1.96387$ |
$(3,a), (3,a+2), (7)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$1.724153859$ |
0.719021863 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 147.2-a4 |
147.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-6}) \) |
$2$ |
$[0, 1]$ |
147.2 |
\( 3 \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$1.52431$ |
$(3,a), (a+1), (a-1)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{4} \) |
$1$ |
$1.724153859$ |
0.703882865 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.2-a4 |
441.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$2.27997$ |
$(7,a+2), (7,a+4), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$1.724153859$ |
0.309667174 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 63.2-b4 |
63.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-35}) \) |
$2$ |
$[0, 1]$ |
63.2 |
\( 3^{2} \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$1.48939$ |
$(3,a), (3,a+2), (7,a+3)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.965741160$ |
$1.724153859$ |
2.251607699 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 147.1-b4 |
147.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-39}) \) |
$2$ |
$[0, 1]$ |
147.1 |
\( 3 \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$1.94312$ |
$(3,a+1), (7)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$4.388966748$ |
$1.724153859$ |
1.211730405 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.2-c4 |
441.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-10}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$2.58987$ |
$(7,a+2), (7,a+5), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{3} \) |
$1$ |
$1.724153859$ |
1.090450646 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.1-a4 |
441.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-43}) \) |
$2$ |
$[0, 1]$ |
441.1 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$2.68524$ |
$(3), (7)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$22.68688982$ |
$1.724153859$ |
2.982543298 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.5-a4 |
441.5-a |
$6$ |
$8$ |
\(\Q(\sqrt{-47}) \) |
$2$ |
$[0, 1]$ |
441.5 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$2.80735$ |
$(3,a), (3,a+2), (7,a+1), (7,a+5)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1.957502114$ |
$1.724153859$ |
1.969197703 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 147.1-b4 |
147.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-51}) \) |
$2$ |
$[0, 1]$ |
147.1 |
\( 3 \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$2.22205$ |
$(3,a+1), (7)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$9.958186213$ |
$1.724153859$ |
2.404203215 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.2-a4 |
441.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-13}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$2.95291$ |
$(7,a+1), (7,a+6), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{3} \) |
$1$ |
$1.724153859$ |
0.956388484 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.2-a4 |
441.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-55}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$3.03689$ |
$(7,a), (7,a+6), (3)$ |
$2$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$10.26854582$ |
$1.724153859$ |
2.387281426 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 63.2-b4 |
63.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-14}) \) |
$2$ |
$[0, 1]$ |
63.2 |
\( 3^{2} \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$1.88394$ |
$(3,a+1), (3,a+2), (7,a)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1.094126633$ |
$1.724153859$ |
2.016692030 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.5-c4 |
441.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-59}) \) |
$2$ |
$[0, 1]$ |
441.5 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$3.14539$ |
$(3,a), (3,a+2), (7,a+2), (7,a+4)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$2.890428253$ |
$1.724153859$ |
2.595208158 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.1-a4 |
441.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-67}) \) |
$2$ |
$[0, 1]$ |
441.1 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$3.35186$ |
$(3), (7)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$29.81409529$ |
$1.724153859$ |
3.140004401 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.5-b4 |
441.5-b |
$6$ |
$8$ |
\(\Q(\sqrt{-17}) \) |
$2$ |
$[0, 1]$ |
441.5 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$3.37678$ |
$(3,a+1), (3,a+2), (7,a+2), (7,a+5)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$5.339129200$ |
$1.724153859$ |
4.465313796 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.2-a4 |
441.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-71}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$3.45046$ |
$(3,a), (3,a+2), (7)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$1.724153859$ |
0.409238835 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.1-a4 |
441.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-79}) \) |
$2$ |
$[0, 1]$ |
441.1 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$3.63967$ |
$(3), (7)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$15.59862079$ |
$1.724153859$ |
1.512929453 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.5-a4 |
441.5-a |
$6$ |
$8$ |
\(\Q(\sqrt{-83}) \) |
$2$ |
$[0, 1]$ |
441.5 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$3.73067$ |
$(3,a), (3,a+2), (7,a), (7,a+6)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$7.247018525$ |
$1.724153859$ |
5.486006719 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 21.1-b4 |
21.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-21}) \) |
$2$ |
$[0, 1]$ |
21.1 |
\( 3 \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$1.75321$ |
$(3,a), (7,a)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{5} \) |
$1$ |
$1.724153859$ |
0.752482435 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 147.2-a4 |
147.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-87}) \) |
$2$ |
$[0, 1]$ |
147.2 |
\( 3 \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$2.90220$ |
$(3,a+1), (7,a+2), (7,a+4)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{4} \) |
$1$ |
$1.724153859$ |
0.369697392 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.1-a4 |
441.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-22}) \) |
$2$ |
$[0, 1]$ |
441.1 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$3.84140$ |
$(3), (7)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$9.593141016$ |
$1.724153859$ |
3.526350744 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 63.1-a4 |
63.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-91}) \) |
$2$ |
$[0, 1]$ |
63.1 |
\( 3^{2} \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$2.40157$ |
$(7,a+3), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{4} \) |
$1$ |
$1.724153859$ |
0.361480869 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.2-a4 |
441.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-95}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$3.99126$ |
$(3,a), (3,a+2), (7)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{6} \) |
$1$ |
$1.724153859$ |
1.415155628 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.2-a4 |
441.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$4.15592$ |
$(7,a+1), (7,a+5), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$1$ |
$1.724153859$ |
0.169885927 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.5-b4 |
441.5-b |
$6$ |
$8$ |
\(\Q(\sqrt{-26}) \) |
$2$ |
$[0, 1]$ |
441.5 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$4.17604$ |
$(3,a+1), (3,a+2), (7,a+3), (7,a+4)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$3.098308387$ |
$1.724153859$ |
2.095289241 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.2-a4 |
441.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-107}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$4.23585$ |
$(3,a), (3,a+2), (7)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$9$ |
\( 2^{6} \) |
$1$ |
$1.724153859$ |
3.000244407 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 147.2-a4 |
147.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-111}) \) |
$2$ |
$[0, 1]$ |
147.2 |
\( 3 \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$3.27815$ |
$(3,a+1), (7,a), (7,a+6)$ |
$2$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$7.529762273$ |
$3.448307718$ |
2.464482790 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.2-b4 |
441.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-115}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$4.39134$ |
$(7,a+2), (7,a+4), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{3} \) |
$1$ |
$1.724153859$ |
0.643112705 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 63.2-b4 |
63.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-119}) \) |
$2$ |
$[0, 1]$ |
63.2 |
\( 3^{2} \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$2.74629$ |
$(3,a), (3,a+2), (7,a+3)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1.079443186$ |
$1.724153859$ |
1.364873225 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 147.1-b4 |
147.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-30}) \) |
$2$ |
$[0, 1]$ |
147.1 |
\( 3 \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$3.40846$ |
$(3,a), (7)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{4} \) |
$4.899177222$ |
$1.724153859$ |
3.084384676 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 441.1-a4 |
441.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-163}) \) |
$2$ |
$[0, 1]$ |
441.1 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$5.22808$ |
$(3), (7)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$61.41726292$ |
$1.724153859$ |
4.147082535 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 21.1-b4 |
21.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-42}) \) |
$2$ |
$[0, 1]$ |
21.1 |
\( 3 \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$2.47941$ |
$(3,a), (7,a)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{5} \) |
$1$ |
$1.724153859$ |
0.532085432 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 63.2-b4 |
63.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-203}) \) |
$2$ |
$[0, 1]$ |
63.2 |
\( 3^{2} \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$3.58692$ |
$(3,a), (3,a+2), (7,a+3)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$4.993234597$ |
$1.724153859$ |
4.833925553 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 21.1-b4 |
21.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-231}) \) |
$2$ |
$[0, 1]$ |
21.1 |
\( 3 \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$2.90736$ |
$(3,a+1), (7,a+3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{5} \) |
$1$ |
$1.724153859$ |
0.453763981 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 63.1-b4 |
63.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-259}) \) |
$2$ |
$[0, 1]$ |
63.1 |
\( 3^{2} \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$4.05157$ |
$(7,a+3), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{4} \) |
$1$ |
$1.724153859$ |
0.857069664 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 63.1-b4 |
63.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-70}) \) |
$2$ |
$[0, 1]$ |
63.1 |
\( 3^{2} \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$4.21262$ |
$(7,a), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{4} \) |
$1$ |
$1.724153859$ |
0.824303207 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 63.2-b4 |
63.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-287}) \) |
$2$ |
$[0, 1]$ |
63.2 |
\( 3^{2} \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$4.26496$ |
$(3,a), (3,a+2), (7,a+3)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$3.055588607$ |
$1.724153859$ |
2.487825639 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 63.2-d4 |
63.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-77}) \) |
$2$ |
$[0, 1]$ |
63.2 |
\( 3^{2} \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$4.41824$ |
$(3,a+1), (3,a+2), (7,a)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$6.078770032$ |
$1.724153859$ |
4.777562323 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 63.2-b4 |
63.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-371}) \) |
$2$ |
$[0, 1]$ |
63.2 |
\( 3^{2} \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$4.84909$ |
$(3,a), (3,a+2), (7,a+3)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$8.025687310$ |
$1.724153859$ |
5.747265840 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 21.1-b4 |
21.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-399}) \) |
$2$ |
$[0, 1]$ |
21.1 |
\( 3 \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$3.82102$ |
$(3,a+1), (7,a+3)$ |
$2$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$7.807515919$ |
$1.724153859$ |
2.695643403 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 21.1-c4 |
21.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
21.1 |
\( 3 \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$3.92029$ |
$(3,a), (7,a)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{5} \) |
$1$ |
$1.724153859$ |
1.346081501 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
| 63.1-a4 |
63.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-427}) \) |
$2$ |
$[0, 1]$ |
63.1 |
\( 3^{2} \cdot 7 \) |
\( 3^{16} \cdot 7^{2} \) |
$5.20221$ |
$(7,a+3), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{4} \) |
$1$ |
$1.724153859$ |
0.166875306 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^3-39{x}+90$ |
*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.
