| 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 |
| 363.1-a4 |
363.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
363.1 |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$0.67558$ |
$(-2a+1), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.025585977$ |
0.592122339 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
| 1089.1-a4 |
1089.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
1089.1 |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$1.02666$ |
$(3), (11)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.966388507$ |
$1.025585977$ |
1.486671752 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
| 1089.2-a4 |
1089.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1089.2 |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$1.35814$ |
$(-2a+3), (2a+1), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.025585977$ |
2.325810380 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
| 1089.5-a4 |
1089.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
1089.5 |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$1.45191$ |
$(-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.403122864$ |
$1.025585977$ |
2.035086031 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
| 99.2-a6 |
99.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
99.2 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$0.93485$ |
$(-a), (a-1), (-2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.025585977$ |
0.309225806 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
| 363.1-b4 |
363.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-15}) \) |
$2$ |
$[0, 1]$ |
363.1 |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$1.51064$ |
$(3,a+1), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$1$ |
$1.025585977$ |
1.059220642 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 1089.2-a4 |
1089.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-19}) \) |
$2$ |
$[0, 1]$ |
1089.2 |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$2.23755$ |
$(a+2), (a-3), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.025585977$ |
1.411713357 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 1089.2-a4 |
1089.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-23}) \) |
$2$ |
$[0, 1]$ |
1089.2 |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$2.46184$ |
$(3,a), (3,a+2), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$1.025585977$ |
0.427698918 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 363.2-b4 |
363.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-6}) \) |
$2$ |
$[0, 1]$ |
363.2 |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$1.91082$ |
$(3,a), (11,a+4), (11,a+7)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.846759207$ |
$1.025585977$ |
3.092905944 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 1089.1-a4 |
1089.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1089.1 |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$2.85809$ |
$(3), (11)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$10.81398996$ |
$1.025585977$ |
5.975832890 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 363.2-b4 |
363.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-39}) \) |
$2$ |
$[0, 1]$ |
363.2 |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$2.43583$ |
$(3,a+1), (11,a+3), (11,a+7)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$2.108235297$ |
$1.025585977$ |
2.769802722 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 1089.2-a4 |
1089.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-43}) \) |
$2$ |
$[0, 1]$ |
1089.2 |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$3.36612$ |
$(-a), (a-1), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.025585977$ |
0.938402371 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 363.2-a4 |
363.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-51}) \) |
$2$ |
$[0, 1]$ |
363.2 |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$2.78548$ |
$(3,a+1), (11,a+4), (11,a+6)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.218588753$ |
$1.025585977$ |
1.400019673 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.1-b4 |
99.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-55}) \) |
$2$ |
$[0, 1]$ |
99.1 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$2.09040$ |
$(11,a+5), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$6.147048426$ |
$1.025585977$ |
5.100451406 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 1089.1-a4 |
1089.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-67}) \) |
$2$ |
$[0, 1]$ |
1089.1 |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$4.20178$ |
$(3), (11)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$10.71731468$ |
$1.025585977$ |
4.028486478 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 363.2-c4 |
363.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-21}) \) |
$2$ |
$[0, 1]$ |
363.2 |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$3.57483$ |
$(3,a), (11,a+1), (11,a+10)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$4.742179490$ |
$1.025585977$ |
4.245221997 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 363.2-b4 |
363.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-87}) \) |
$2$ |
$[0, 1]$ |
363.2 |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$3.63810$ |
$(3,a+1), (11,a), (11,a+10)$ |
$0 \le r \le 1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
|
\( 2^{5} \) |
$1$ |
$1.025585977$ |
7.741865378 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.1-b4 |
99.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-22}) \) |
$2$ |
$[0, 1]$ |
99.1 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$2.64417$ |
$(11,a), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$7.273758536$ |
$1.025585977$ |
4.771345529 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 363.1-d4 |
363.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-111}) \) |
$2$ |
$[0, 1]$ |
363.1 |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$4.10938$ |
$(3,a+1), (11)$ |
$0 \le r \le 2$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{3} \) |
$1$ |
$2.051171954$ |
1.557509008 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 363.2-c4 |
363.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-30}) \) |
$2$ |
$[0, 1]$ |
363.2 |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$4.27273$ |
$(3,a), (11,a+5), (11,a+6)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$5.105155015$ |
$1.025585977$ |
3.823669720 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 33.1-a4 |
33.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-33}) \) |
$2$ |
$[0, 1]$ |
33.1 |
\( 3 \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$2.46067$ |
$(3,a), (11,a)$ |
$0 \le r \le 2$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{4} \) |
$1$ |
$1.025585977$ |
2.856505646 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.2-a4 |
99.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-143}) \) |
$2$ |
$[0, 1]$ |
99.2 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$3.37066$ |
$(3,a), (3,a+2), (11,a+5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$36$ |
\( 2^{3} \) |
$1$ |
$1.025585977$ |
3.087497084 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 1089.1-a4 |
1089.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-163}) \) |
$2$ |
$[0, 1]$ |
1089.1 |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$6.55374$ |
$(3), (11)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$22.19338016$ |
$1.025585977$ |
5.348388904 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.1-a4 |
99.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-187}) \) |
$2$ |
$[0, 1]$ |
99.1 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$3.85450$ |
$(11,a+5), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$12.55969788$ |
$1.025585977$ |
5.651734009 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 33.1-c4 |
33.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-231}) \) |
$2$ |
$[0, 1]$ |
33.1 |
\( 3 \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$3.25517$ |
$(3,a+1), (11,a+5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{4} \) |
$1$ |
$1.025585977$ |
0.539828825 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 33.1-b4 |
33.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-66}) \) |
$2$ |
$[0, 1]$ |
33.1 |
\( 3 \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$3.47992$ |
$(3,a), (11,a)$ |
$0 \le r \le 2$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{4} \) |
$1$ |
$1.025585977$ |
2.019854512 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.2-c4 |
99.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-77}) \) |
$2$ |
$[0, 1]$ |
99.2 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$4.94678$ |
$(3,a+1), (3,a+2), (11,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{3} \) |
$1$ |
$1.025585977$ |
0.935010953 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.1-a4 |
99.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-319}) \) |
$2$ |
$[0, 1]$ |
99.1 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$5.03434$ |
$(11,a+5), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$14.68540680$ |
$1.025585977$ |
5.059574144 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.2-d4 |
99.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-407}) \) |
$2$ |
$[0, 1]$ |
99.2 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$5.68649$ |
$(3,a), (3,a+2), (11,a+5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{3} \) |
$1$ |
$1.025585977$ |
0.813382552 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.2-c4 |
99.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-110}) \) |
$2$ |
$[0, 1]$ |
99.2 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$5.91253$ |
$(3,a+1), (3,a+2), (11,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{3} \) |
$1$ |
$1.025585977$ |
0.782286288 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.1-b4 |
99.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-451}) \) |
$2$ |
$[0, 1]$ |
99.1 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$5.98598$ |
$(11,a+5), (3)$ |
$0 \le r \le 1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
|
\( 2^{3} \cdot 3 \) |
$1$ |
$1.025585977$ |
4.295075998 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.1-b4 |
99.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-583}) \) |
$2$ |
$[0, 1]$ |
99.1 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$6.80584$ |
$(11,a+5), (3)$ |
$0 \le r \le 1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
|
\( 2^{3} \cdot 3 \) |
$1$ |
$2.051171954$ |
10.36388717 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.1-g4 |
99.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-154}) \) |
$2$ |
$[0, 1]$ |
99.1 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$6.99581$ |
$(11,a), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \cdot 3 \) |
$4.754641662$ |
$2.051171954$ |
4.715315442 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 33.1-b4 |
33.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-627}) \) |
$2$ |
$[0, 1]$ |
33.1 |
\( 3 \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$5.36291$ |
$(3,a+1), (11,a+5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{4} \) |
$1$ |
$2.051171954$ |
0.327663669 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 33.1-e4 |
33.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-165}) \) |
$2$ |
$[0, 1]$ |
33.1 |
\( 3 \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$5.50223$ |
$(3,a), (11,a)$ |
$2$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$31.79284764$ |
$2.051171954$ |
10.15358764 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.2-b4 |
99.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-671}) \) |
$2$ |
$[0, 1]$ |
99.2 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$7.30144$ |
$(3,a), (3,a+2), (11,a+5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$36$ |
\( 2^{3} \) |
$1$ |
$2.051171954$ |
1.425323070 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.1-b4 |
99.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-715}) \) |
$2$ |
$[0, 1]$ |
99.1 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$7.53703$ |
$(11,a+5), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \cdot 3 \) |
$4.285123996$ |
$2.051171954$ |
3.944515693 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 33.1-c4 |
33.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-759}) \) |
$2$ |
$[0, 1]$ |
33.1 |
\( 3 \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$5.90049$ |
$(3,a+1), (11,a+5)$ |
$0 \le r \le 2$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{4} \) |
$1$ |
$2.051171954$ |
1.191245202 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.2-b4 |
99.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-803}) \) |
$2$ |
$[0, 1]$ |
99.2 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$7.98739$ |
$(3,a), (3,a+2), (11,a+5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$36$ |
\( 2^{3} \) |
$1$ |
$2.051171954$ |
1.302917154 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.2-c4 |
99.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-209}) \) |
$2$ |
$[0, 1]$ |
99.2 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$8.14987$ |
$(3,a+1), (3,a+2), (11,a)$ |
$2$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$90.93224075$ |
$2.051171954$ |
12.90169645 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.2-c4 |
99.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-935}) \) |
$2$ |
$[0, 1]$ |
99.2 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$8.61893$ |
$(3,a), (3,a+2), (11,a+5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{3} \) |
$1$ |
$2.051171954$ |
0.536643966 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 99.1-b4 |
99.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-979}) \) |
$2$ |
$[0, 1]$ |
99.1 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$8.81939$ |
$(11,a+5), (3)$ |
$0 \le r \le 1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
|
\( 2^{3} \cdot 3 \) |
$1$ |
$2.051171954$ |
5.680996437 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-146{x}+621$ |
| 1089.1-c4 |
1089.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{5}) \) |
$2$ |
$[2, 0]$ |
1089.1 |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$1.14784$ |
$(-3a+2), (-3a+1), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.053402181$ |
$8.936252827$ |
1.280503287 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
| 1089.1-b4 |
1089.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1089.1 |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$1.45191$ |
$(3), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$8.936252827$ |
2.369581864 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
| 363.1-a5 |
363.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
363.1 |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$1.35116$ |
$(a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$8.936252827$ |
1.289836993 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
| 1089.1-d4 |
1089.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{13}) \) |
$2$ |
$[2, 0]$ |
1089.1 |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$1.85083$ |
$(-a), (-a+1), (11)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.184501454$ |
$8.936252827$ |
1.467876014 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
| 363.1-b4 |
363.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
363.1 |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$1.78741$ |
$(-a+2), (11)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.759802923$ |
$8.936252827$ |
1.481653873 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
| 363.1-a4 |
363.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
363.1 |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$1.91082$ |
$(a+3), (11)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.241450551$ |
$8.936252827$ |
2.264536120 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
| 33.1-a5 |
33.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
33.1 |
\( 3 \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$1.23034$ |
$(-2a+7), (-4a-9)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.739425251$ |
$8.936252827$ |
2.300502718 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
| 99.1-a4 |
99.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
99.1 |
\( 3^{2} \cdot 11 \) |
\( 3^{6} \cdot 11^{8} \) |
$1.86971$ |
$(a), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$8.936252827$ |
2.020786204 |
\( \frac{347873904937}{395307} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$ |
*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.
