| 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 |
| 1936.1-a1 |
1936.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1936.1 |
\( 2^{4} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$1.02666$ |
$(2), (11)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1[2] |
$1$ |
\( 3^{2} \) |
$1$ |
$1.228722931$ |
1.418807030 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -77 a + 77\) , \( -289\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-77a+77\right){x}-289$ |
| 484.1-a1 |
484.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
484.1 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 11^{6} \) |
$0.83826$ |
$(a+1), (11)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$0.058354610$ |
$2.457445862$ |
0.860419770 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( i\) , \( i + 1\) , \( 19\) , \( -27 i\bigr] \) |
${y}^2+\left(i+1\right){y}={x}^{3}+i{x}^{2}+19{x}-27i$ |
| 1936.8-a1 |
1936.8-a |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1936.8 |
\( 2^{4} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$1.56825$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 1 \) |
$1.303707704$ |
$1.228722931$ |
2.421838433 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-77{x}-289$ |
| 484.2-a1 |
484.2-a |
$2$ |
$3$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
484.2 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 11^{6} \) |
$1.18548$ |
$(a), (a+3), (a-3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 1 \) |
$1$ |
$2.457445862$ |
1.737676634 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( a\) , \( -19\) , \( 27\bigr] \) |
${y}^2+a{y}={x}^{3}+{x}^{2}-19{x}+27$ |
| 176.1-a1 |
176.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
176.1 |
\( 2^{4} \cdot 11 \) |
\( 2^{16} \cdot 11^{6} \) |
$1.07948$ |
$(-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cn, 3B.1.2 |
$1$ |
\( 2 \cdot 3 \) |
$0.172006545$ |
$1.228722931$ |
1.529374473 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-77{x}-289$ |
| 1936.2-a1 |
1936.2-a |
$2$ |
$3$ |
\(\Q(\sqrt{-19}) \) |
$2$ |
$[0, 1]$ |
1936.2 |
\( 2^{4} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$2.58370$ |
$(a+2), (a-3), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$0.788720127$ |
$1.228722931$ |
2.667972400 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 484.1-b1 |
484.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{-5}) \) |
$2$ |
$[0, 1]$ |
484.1 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$1.87441$ |
$(2,a+1), (11)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$0.546704862$ |
$2.457445862$ |
3.604982358 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 1936.3-a1 |
1936.3-a |
$2$ |
$3$ |
\(\Q(\sqrt{-23}) \) |
$2$ |
$[0, 1]$ |
1936.3 |
\( 2^{4} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$2.84269$ |
$(2,a), (2,a+1), (11)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$1$ |
$1.228722931$ |
1.537238652 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 484.2-b1 |
484.2-b |
$2$ |
$3$ |
\(\Q(\sqrt{-6}) \) |
$2$ |
$[0, 1]$ |
484.2 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$2.05331$ |
$(2,a), (11,a+4), (11,a+7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 1 \) |
$1$ |
$2.457445862$ |
1.003248072 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 1936.3-a1 |
1936.3-a |
$2$ |
$3$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1936.3 |
\( 2^{4} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$3.30024$ |
$(2,a), (2,a+1), (11)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$1$ |
$1.228722931$ |
1.324110919 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 484.2-a1 |
484.2-a |
$2$ |
$3$ |
\(\Q(\sqrt{-10}) \) |
$2$ |
$[0, 1]$ |
484.2 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$2.65082$ |
$(2,a), (a+1), (a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 1 \) |
$1$ |
$2.457445862$ |
0.777112615 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 1936.2-a1 |
1936.2-a |
$2$ |
$3$ |
\(\Q(\sqrt{-43}) \) |
$2$ |
$[0, 1]$ |
1936.2 |
\( 2^{4} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$3.88686$ |
$(-a), (a-1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$1.763112895$ |
$1.228722931$ |
3.964433193 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 484.2-b1 |
484.2-b |
$2$ |
$3$ |
\(\Q(\sqrt{-13}) \) |
$2$ |
$[0, 1]$ |
484.2 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$3.02240$ |
$(2,a+1), (11,a+3), (11,a+8)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$4$ |
\( 1 \) |
$1$ |
$2.457445862$ |
2.726291404 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 176.3-b1 |
176.3-b |
$2$ |
$3$ |
\(\Q(\sqrt{-55}) \) |
$2$ |
$[0, 1]$ |
176.3 |
\( 2^{4} \cdot 11 \) |
\( 2^{16} \cdot 11^{6} \) |
$2.41378$ |
$(2,a), (2,a+1), (11,a+5)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \) |
$2.302368188$ |
$1.228722931$ |
3.051668689 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 484.1-b1 |
484.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{-14}) \) |
$2$ |
$[0, 1]$ |
484.1 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$3.13649$ |
$(2,a), (11)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$0.889485005$ |
$2.457445862$ |
3.505175950 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 1936.1-a1 |
1936.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{-67}) \) |
$2$ |
$[0, 1]$ |
1936.1 |
\( 2^{4} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$4.85179$ |
$(2), (11)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3^{2} \) |
$1$ |
$1.228722931$ |
2.702023160 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 484.2-f1 |
484.2-f |
$2$ |
$3$ |
\(\Q(\sqrt{-17}) \) |
$2$ |
$[0, 1]$ |
484.2 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$3.45624$ |
$(2,a+1), (11,a+4), (11,a+7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$4$ |
\( 1 \) |
$1$ |
$2.457445862$ |
2.384072673 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 484.2-c1 |
484.2-c |
$2$ |
$3$ |
\(\Q(\sqrt{-21}) \) |
$2$ |
$[0, 1]$ |
484.2 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$3.84140$ |
$(2,a+1), (11,a+1), (11,a+10)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$4$ |
\( 1 \) |
$1$ |
$2.457445862$ |
2.145034606 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 44.1-a1 |
44.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{-22}) \) |
$2$ |
$[0, 1]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{16} \cdot 11^{6} \) |
$2.15895$ |
$(2,a), (11,a)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \) |
$1$ |
$2.457445862$ |
1.047858436 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 484.1-f1 |
484.1-f |
$2$ |
$3$ |
\(\Q(\sqrt{-26}) \) |
$2$ |
$[0, 1]$ |
484.1 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$4.27432$ |
$(2,a), (11)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$1.831050600$ |
$2.457445862$ |
5.294791727 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 484.2-c1 |
484.2-c |
$2$ |
$3$ |
\(\Q(\sqrt{-30}) \) |
$2$ |
$[0, 1]$ |
484.2 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$4.59135$ |
$(2,a), (11,a+5), (11,a+6)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 1 \) |
$1$ |
$2.457445862$ |
0.448666177 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 44.1-a1 |
44.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{-33}) \) |
$2$ |
$[0, 1]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{16} \cdot 11^{6} \) |
$2.64417$ |
$(2,a+1), (11,a)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$4$ |
\( 2 \) |
$1$ |
$2.457445862$ |
3.422291323 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 1936.1-a1 |
1936.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{-163}) \) |
$2$ |
$[0, 1]$ |
1936.1 |
\( 2^{4} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$7.56761$ |
$(2), (11)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3^{2} \) |
$2.136297608$ |
$1.228722931$ |
14.80315927 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 44.1-c1 |
44.1-c |
$2$ |
$3$ |
\(\Q(\sqrt{-66}) \) |
$2$ |
$[0, 1]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{16} \cdot 11^{6} \) |
$3.73942$ |
$(2,a), (11,a)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \) |
$1$ |
$2.457445862$ |
0.604981350 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 44.1-a1 |
44.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{-77}) \) |
$2$ |
$[0, 1]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{16} \cdot 11^{6} \) |
$4.03903$ |
$(2,a+1), (11,a)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$4$ |
\( 2 \) |
$1$ |
$2.457445862$ |
2.240415577 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 44.1-d1 |
44.1-d |
$2$ |
$3$ |
\(\Q(\sqrt{-110}) \) |
$2$ |
$[0, 1]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{16} \cdot 11^{6} \) |
$4.82756$ |
$(2,a), (11,a)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$9$ |
\( 2 \) |
$1$ |
$2.457445862$ |
4.217548851 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 44.1-b1 |
44.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{-154}) \) |
$2$ |
$[0, 1]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{16} \cdot 11^{6} \) |
$5.71205$ |
$(2,a), (11,a)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$4$ |
\( 2 \) |
$1$ |
$4.914891725$ |
1.584213047 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 44.1-e1 |
44.1-e |
$2$ |
$3$ |
\(\Q(\sqrt{-165}) \) |
$2$ |
$[0, 1]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{16} \cdot 11^{6} \) |
$5.91253$ |
$(2,a+1), (11,a)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$4$ |
\( 2 \) |
$1$ |
$4.914891725$ |
1.530495207 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 44.1-d1 |
44.1-d |
$2$ |
$3$ |
\(\Q(\sqrt{-209}) \) |
$2$ |
$[0, 1]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{16} \cdot 11^{6} \) |
$6.65434$ |
$(2,a+1), (11,a)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$4$ |
\( 2 \) |
$1$ |
$4.914891725$ |
1.359880678 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^3+{x}^2-77{x}-289$ |
| 1936.1-b1 |
1936.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{5}) \) |
$2$ |
$[2, 0]$ |
1936.1 |
\( 2^{4} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$1.32541$ |
$(-3a+2), (-3a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$1$ |
$0.647455648$ |
0.868652904 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-77{x}-289$ |
| 484.1-a1 |
484.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
484.1 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 11^{6} \) |
$1.18548$ |
$(a), (11)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$1$ |
$1.294911296$ |
1.373460837 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( -1\) , \( a\) , \( -19\) , \( -27\bigr] \) |
${y}^2+a{y}={x}^{3}-{x}^{2}-19{x}-27$ |
| 484.1-a1 |
484.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
484.1 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 11^{6} \) |
$1.45191$ |
$(a+1), (-2a+1), (2a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 1 \) |
$3.281855644$ |
$1.294911296$ |
2.453572336 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( -a + 1\) , \( a + 1\) , \( -78 a - 134\) , \( -475 a - 824\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-78a-134\right){x}-475a-824$ |
| 1936.1-a1 |
1936.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{13}) \) |
$2$ |
$[2, 0]$ |
1936.1 |
\( 2^{4} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$2.13716$ |
$(2), (11)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3^{2} \) |
$1.367533406$ |
$0.647455648$ |
4.420269990 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-77{x}-289$ |
| 1936.1-a1 |
1936.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1936.1 |
\( 2^{4} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$2.71628$ |
$(2), (11)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3^{2} \) |
$1.332676418$ |
$0.647455648$ |
3.389203095 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-77{x}-289$ |
| 484.1-b1 |
484.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
484.1 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 11^{6} \) |
$2.05331$ |
$(-a+2), (11)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$1$ |
$1.294911296$ |
0.792967984 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( a + 1\) , \( a\) , \( -386 a - 945\) , \( -6960 a - 17050\bigr] \) |
${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-386a-945\right){x}-6960a-17050$ |
| 484.1-b1 |
484.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{7}) \) |
$2$ |
$[2, 0]$ |
484.1 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 11^{6} \) |
$2.21783$ |
$(a+3), (11)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$4$ |
\( 3 \) |
$1$ |
$1.294911296$ |
2.936582794 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( a + 1\) , \( -928 a - 2455\) , \( -25484 a - 67425\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-928a-2455\right){x}-25484a-67425$ |
| 176.1-a1 |
176.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
176.1 |
\( 2^{4} \cdot 11 \) |
\( 2^{16} \cdot 11^{6} \) |
$1.86971$ |
$(-a-2), (-a+3), (-4a-9)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$9$ |
\( 2 \) |
$1$ |
$0.647455648$ |
2.028736108 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-77{x}-289$ |
| 484.1-b1 |
484.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
484.1 |
\( 2^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$2.65082$ |
$(2,a), (11)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$1$ |
$1.294911296$ |
0.614230359 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-77{x}-289$ |
| 44.1-a1 |
44.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{4} \cdot 11^{6} \) |
$1.52661$ |
$(a+3), (a)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 2 \) |
$2.323199861$ |
$1.294911296$ |
1.814095916 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( -1\) , \( a + 1\) , \( -1160 a - 3847\) , \( -39004 a - 129363\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-1160a-3847\right){x}-39004a-129363$ |
| 176.1-b1 |
176.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{77}) \) |
$2$ |
$[2, 0]$ |
176.1 |
\( 2^{4} \cdot 11 \) |
\( 2^{16} \cdot 11^{6} \) |
$2.85603$ |
$(a-6), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$4$ |
\( 2 \cdot 3 \) |
$1$ |
$0.647455648$ |
1.770826053 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-77{x}-289$ |
| 44.1-b1 |
44.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{22}) \) |
$2$ |
$[2, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{4} \cdot 11^{6} \) |
$2.15895$ |
$(-3a-14), (7a-33)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 2 \) |
$8.539905566$ |
$1.294911296$ |
4.715326211 |
\( -\frac{199794688}{1331} \) |
\( \bigl[0\) , \( 1\) , \( a\) , \( 319928 a - 1500595\) , \( 214658661 a - 1006838372\bigr] \) |
${y}^2+a{y}={x}^{3}+{x}^{2}+\left(319928a-1500595\right){x}+214658661a-1006838372$ |
*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.
