| 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 |
| 100009.1-a1 |
100009.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.1 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{6} \cdot 13^{2} \cdot 157^{2} \) |
$2.75238$ |
$(-3a+1), (-4a+1), (-13a+1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.288012406$ |
$1.363111591$ |
3.626619242 |
\( \frac{25443677875}{4165681} a - \frac{19690759875}{4165681} \) |
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( 27 a + 10\) , \( -42 a + 88\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(27a+10\right){x}-42a+88$ |
| 100009.1-a2 |
100009.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.1 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{6} \cdot 13 \cdot 157 \) |
$2.75238$ |
$(-3a+1), (-4a+1), (-13a+1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.288012406$ |
$2.726223182$ |
3.626619242 |
\( -\frac{1500625}{2041} a - \frac{686000}{2041} \) |
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( 2 a - 5\) , \( -7 a + 11\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a-5\right){x}-7a+11$ |
| 100009.10-a1 |
100009.10-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.10 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{9} \cdot 13 \cdot 157 \) |
$2.75238$ |
$(3a-2), (-4a+1), (13a-12)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$1.706165829$ |
3.940221203 |
\( -\frac{242752059}{700063} a + \frac{476312801}{700063} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( -13 a + 11\) , \( 29 a - 18\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-13a+11\right){x}+29a-18$ |
| 100009.12-a1 |
100009.12-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.12 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{6} \cdot 13 \cdot 157 \) |
$2.75238$ |
$(3a-2), (4a-3), (13a-12)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.288012406$ |
$2.726223182$ |
3.626619242 |
\( \frac{1500625}{2041} a - \frac{2186625}{2041} \) |
\( \bigl[a\) , \( a + 1\) , \( a\) , \( -3 a + 6\) , \( 6 a + 5\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a+6\right){x}+6a+5$ |
| 100009.12-a2 |
100009.12-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.12 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{6} \cdot 13^{2} \cdot 157^{2} \) |
$2.75238$ |
$(3a-2), (4a-3), (13a-12)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.288012406$ |
$1.363111591$ |
3.626619242 |
\( -\frac{25443677875}{4165681} a + \frac{5752918000}{4165681} \) |
\( \bigl[a\) , \( a + 1\) , \( a\) , \( 37 a - 9\) , \( 41 a + 47\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(37a-9\right){x}+41a+47$ |
| 100009.3-a1 |
100009.3-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.3 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{9} \cdot 13 \cdot 157 \) |
$2.75238$ |
$(-3a+1), (4a-3), (-13a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$1.706165829$ |
3.940221203 |
\( \frac{242752059}{700063} a + \frac{233560742}{700063} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( -2 a - 11\) , \( -29 a + 11\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a-11\right){x}-29a+11$ |
| 100009.4-a1 |
100009.4-a |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.4 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{8} \cdot 13 \cdot 157 \) |
$2.75238$ |
$(-3a+1), (4a-3), (13a-12)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1[2] |
$1$ |
\( 3 \) |
$1.409567154$ |
$1.662236687$ |
1.803668596 |
\( \frac{82575360}{2041} a - \frac{53444608}{2041} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 14 a - 37\) , \( 48 a - 96\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+\left(14a-37\right){x}+48a-96$ |
| 100009.4-a2 |
100009.4-a |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.4 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{8} \cdot 13^{3} \cdot 157^{3} \) |
$2.75238$ |
$(-3a+1), (4a-3), (13a-12)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1[2] |
$1$ |
\( 3^{3} \) |
$0.469855718$ |
$0.554078895$ |
1.803668596 |
\( \frac{7553217789952}{8502154921} a + \frac{10524184117248}{8502154921} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 4 a + 153\) , \( 446 a - 455\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+\left(4a+153\right){x}+446a-455$ |
| 100009.4-b1 |
100009.4-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.4 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{4} \cdot 13^{5} \cdot 157 \) |
$2.75238$ |
$(-3a+1), (4a-3), (13a-12)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 5 \) |
$0.148816514$ |
$1.612496627$ |
2.770890163 |
\( -\frac{12452880384}{58293001} a + \frac{115159339008}{58293001} \) |
\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 22 a - 7\) , \( -13 a - 1\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(22a-7\right){x}-13a-1$ |
| 100009.4-c1 |
100009.4-c |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.4 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{8} \cdot 13 \cdot 157 \) |
$2.75238$ |
$(-3a+1), (4a-3), (13a-12)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 3 \) |
$0.979455762$ |
$0.667168976$ |
4.527320993 |
\( -\frac{817395204096}{2041} a + \frac{75026608128}{2041} \) |
\( \bigl[0\) , \( 0\) , \( 1\) , \( -373 a - 459\) , \( 5526 a + 2965\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-373a-459\right){x}+5526a+2965$ |
| 100009.4-d1 |
100009.4-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.4 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{6} \cdot 13 \cdot 157 \) |
$2.75238$ |
$(-3a+1), (4a-3), (13a-12)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.726223182$ |
3.147971377 |
\( \frac{1500625}{2041} a - \frac{2186625}{2041} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -6 a + 3\) , \( -2 a + 9\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6a+3\right){x}-2a+9$ |
| 100009.4-d2 |
100009.4-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.4 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{6} \cdot 13^{2} \cdot 157^{2} \) |
$2.75238$ |
$(-3a+1), (4a-3), (13a-12)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.363111591$ |
3.147971377 |
\( -\frac{25443677875}{4165681} a + \frac{5752918000}{4165681} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( 19 a + 18\) , \( -62 a + 71\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(19a+18\right){x}-62a+71$ |
| 100009.6-a1 |
100009.6-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.6 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{12} \cdot 13^{5} \cdot 157 \) |
$2.75238$ |
$(-3a+1), (3a-2), (-4a+1), (13a-12)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$3.842186552$ |
$0.369863268$ |
3.281852171 |
\( -\frac{1575191114742206464}{48006792922543} a + \frac{1822030089292136448}{48006792922543} \) |
\( \bigl[0\) , \( 1\) , \( a + 1\) , \( -223 a - 521\) , \( 2995 a + 4175\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-223a-521\right){x}+2995a+4175$ |
| 100009.6-b1 |
100009.6-b |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.6 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{4} \cdot 13^{3} \cdot 157 \) |
$2.75238$ |
$(-3a+1), (3a-2), (-4a+1), (13a-12)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1[2] |
$1$ |
\( 3^{2} \) |
$2.081941336$ |
$1.326984491$ |
6.380191282 |
\( -\frac{19432951197696}{118310647} a - \frac{635468208816128}{118310647} \) |
\( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( -128 a + 84\) , \( 288 a - 515\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-128a+84\right){x}+288a-515$ |
| 100009.6-b2 |
100009.6-b |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.6 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{12} \cdot 13 \cdot 157^{3} \) |
$2.75238$ |
$(-3a+1), (3a-2), (-4a+1), (13a-12)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1[2] |
$1$ |
\( 3^{4} \) |
$0.693980445$ |
$0.442328163$ |
6.380191282 |
\( -\frac{3259043377277014016}{2030133836302663} a + \frac{3369818521514614784}{2030133836302663} \) |
\( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( -238 a + 14\) , \( -1385 a + 147\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-238a+14\right){x}-1385a+147$ |
| 100009.7-a1 |
100009.7-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.7 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{12} \cdot 13^{5} \cdot 157 \) |
$2.75238$ |
$(-3a+1), (3a-2), (4a-3), (-13a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$3.842186552$ |
$0.369863268$ |
3.281852171 |
\( \frac{1575191114742206464}{48006792922543} a + \frac{246838974549929984}{48006792922543} \) |
\( \bigl[0\) , \( -a\) , \( a\) , \( -744 a + 521\) , \( -2996 a + 7171\bigr] \) |
${y}^2+a{y}={x}^{3}-a{x}^{2}+\left(-744a+521\right){x}-2996a+7171$ |
| 100009.7-b1 |
100009.7-b |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.7 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{4} \cdot 13^{3} \cdot 157 \) |
$2.75238$ |
$(-3a+1), (3a-2), (4a-3), (-13a+1)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1[2] |
$1$ |
\( 3^{2} \) |
$2.081941336$ |
$1.326984491$ |
6.380191282 |
\( \frac{19432951197696}{118310647} a - \frac{654901160013824}{118310647} \) |
\( \bigl[0\) , \( 1\) , \( a\) , \( -84 a + 128\) , \( -289 a - 226\bigr] \) |
${y}^2+a{y}={x}^{3}+{x}^{2}+\left(-84a+128\right){x}-289a-226$ |
| 100009.7-b2 |
100009.7-b |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.7 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{12} \cdot 13 \cdot 157^{3} \) |
$2.75238$ |
$(-3a+1), (3a-2), (4a-3), (-13a+1)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1[2] |
$1$ |
\( 3^{4} \) |
$0.693980445$ |
$0.442328163$ |
6.380191282 |
\( \frac{3259043377277014016}{2030133836302663} a + \frac{110775144237600768}{2030133836302663} \) |
\( \bigl[0\) , \( 1\) , \( a\) , \( -14 a + 238\) , \( 1384 a - 1237\bigr] \) |
${y}^2+a{y}={x}^{3}+{x}^{2}+\left(-14a+238\right){x}+1384a-1237$ |
| 100009.9-a1 |
100009.9-a |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.9 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{8} \cdot 13^{3} \cdot 157^{3} \) |
$2.75238$ |
$(3a-2), (-4a+1), (-13a+1)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1[2] |
$1$ |
\( 3^{3} \) |
$0.469855718$ |
$0.554078895$ |
1.803668596 |
\( -\frac{7553217789952}{8502154921} a + \frac{18077401907200}{8502154921} \) |
\( \bigl[0\) , \( a - 1\) , \( 1\) , \( -153 a - 4\) , \( -446 a - 9\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-153a-4\right){x}-446a-9$ |
| 100009.9-a2 |
100009.9-a |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.9 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{8} \cdot 13 \cdot 157 \) |
$2.75238$ |
$(3a-2), (-4a+1), (-13a+1)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1[2] |
$1$ |
\( 3 \) |
$1.409567154$ |
$1.662236687$ |
1.803668596 |
\( -\frac{82575360}{2041} a + \frac{29130752}{2041} \) |
\( \bigl[0\) , \( a - 1\) , \( 1\) , \( 37 a - 14\) , \( -48 a - 48\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(37a-14\right){x}-48a-48$ |
| 100009.9-b1 |
100009.9-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.9 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{4} \cdot 13^{5} \cdot 157 \) |
$2.75238$ |
$(3a-2), (-4a+1), (-13a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 5 \) |
$0.148816514$ |
$1.612496627$ |
2.770890163 |
\( \frac{12452880384}{58293001} a + \frac{102706458624}{58293001} \) |
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( 8 a - 21\) , \( -a - 21\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(8a-21\right){x}-a-21$ |
| 100009.9-c1 |
100009.9-c |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.9 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{8} \cdot 13 \cdot 157 \) |
$2.75238$ |
$(3a-2), (-4a+1), (-13a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 3 \) |
$0.979455762$ |
$0.667168976$ |
4.527320993 |
\( \frac{817395204096}{2041} a - \frac{742368595968}{2041} \) |
\( \bigl[0\) , \( 0\) , \( 1\) , \( 373 a - 832\) , \( -5526 a + 8491\bigr] \) |
${y}^2+{y}={x}^{3}+\left(373a-832\right){x}-5526a+8491$ |
| 100009.9-d1 |
100009.9-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.9 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{6} \cdot 13^{2} \cdot 157^{2} \) |
$2.75238$ |
$(3a-2), (-4a+1), (-13a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.363111591$ |
3.147971377 |
\( \frac{25443677875}{4165681} a - \frac{19690759875}{4165681} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -19 a + 37\) , \( 62 a + 9\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-19a+37\right){x}+62a+9$ |
| 100009.9-d2 |
100009.9-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100009.9 |
\( 7^{2} \cdot 13 \cdot 157 \) |
\( 7^{6} \cdot 13 \cdot 157 \) |
$2.75238$ |
$(3a-2), (-4a+1), (-13a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.726223182$ |
3.147971377 |
\( -\frac{1500625}{2041} a - \frac{686000}{2041} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( 6 a - 3\) , \( 2 a + 7\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(6a-3\right){x}+2a+7$ |
| 100044.1-a1 |
100044.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.1 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{2} \cdot 3^{10} \cdot 7 \cdot 397^{4} \) |
$2.75262$ |
$(-2a+1), (-3a+1), (-23a+12), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.589693090$ |
$0.578828484$ |
4.250035336 |
\( -\frac{4204477493477}{1043305069002} a - \frac{8389337240975}{1564957603503} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -28 a + 8\) , \( -763 a + 530\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-28a+8\right){x}-763a+530$ |
| 100044.1-a2 |
100044.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.1 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{8} \cdot 3^{7} \cdot 7 \cdot 397 \) |
$2.75262$ |
$(-2a+1), (-3a+1), (-23a+12), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.397423272$ |
$2.315313937$ |
4.250035336 |
\( \frac{102274919}{133392} a + \frac{16435415}{8337} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 2 a + 8\) , \( 5 a - 10\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a+8\right){x}+5a-10$ |
| 100044.1-a3 |
100044.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.1 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{2} \cdot 397^{2} \) |
$2.75262$ |
$(-2a+1), (-3a+1), (-23a+12), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.794846545$ |
$1.157656968$ |
4.250035336 |
\( -\frac{862372487203}{30891364} a + \frac{4363104721121}{92674092} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 2 a + 68\) , \( -259 a + 110\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a+68\right){x}-259a+110$ |
| 100044.1-a4 |
100044.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.1 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{2} \cdot 3^{7} \cdot 7^{4} \cdot 397 \) |
$2.75262$ |
$(-2a+1), (-3a+1), (-23a+12), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.589693090$ |
$0.578828484$ |
4.250035336 |
\( -\frac{10338824362516921}{5719182} a + \frac{3909976636184791}{2859591} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 32 a + 1088\) , \( -16411 a + 8330\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(32a+1088\right){x}-16411a+8330$ |
| 100044.1-b1 |
100044.1-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.1 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{6} \cdot 3^{7} \cdot 7^{5} \cdot 397 \) |
$2.75262$ |
$(-2a+1), (-3a+1), (-23a+12), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \cdot 5 \) |
$0.054243029$ |
$1.386418005$ |
5.210252156 |
\( \frac{6591228001}{160137096} a + \frac{26231546387}{20017137} \) |
\( \bigl[1\) , \( a\) , \( a + 1\) , \( -25 a + 5\) , \( -2 a + 27\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-25a+5\right){x}-2a+27$ |
| 100044.1-c1 |
100044.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.1 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{8} \cdot 3^{9} \cdot 7 \cdot 397^{3} \) |
$2.75262$ |
$(-2a+1), (-3a+1), (-23a+12), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$9$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.326419116$ |
2.261497976 |
\( -\frac{159722861602164825}{7007926576} a - \frac{52056390278805447}{7007926576} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -1563 a + 2595\) , \( -26973 a - 20952\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-1563a+2595\right){x}-26973a-20952$ |
| 100044.1-c2 |
100044.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.1 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{6} \cdot 397^{2} \) |
$2.75262$ |
$(-2a+1), (-3a+1), (-23a+12), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.489628674$ |
2.261497976 |
\( -\frac{38342039490623763}{593361319712} a - \frac{558192575704594725}{1186722639424} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -683 a + 355\) , \( -4205 a + 6152\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-683a+355\right){x}-4205a+6152$ |
| 100044.1-c3 |
100044.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.1 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{4} \cdot 3^{9} \cdot 7^{2} \cdot 397^{6} \) |
$2.75262$ |
$(-2a+1), (-3a+1), (-23a+12), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$9$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.163209558$ |
2.261497976 |
\( \frac{4223894653531191077175}{767359920228235684} a - \frac{1565109412536091633599}{383679960114117842} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -1623 a + 2535\) , \( -31473 a - 17892\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-1623a+2535\right){x}-31473a-17892$ |
| 100044.1-c4 |
100044.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.1 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{24} \cdot 3^{3} \cdot 7^{3} \cdot 397 \) |
$2.75262$ |
$(-2a+1), (-3a+1), (-23a+12), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.979257349$ |
2.261497976 |
\( -\frac{8696334393}{17429888} a + \frac{560909639511}{557756416} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -43 a + 35\) , \( -109 a + 72\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-43a+35\right){x}-109a+72$ |
| 100044.4-a1 |
100044.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.4 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{2} \cdot 3^{7} \cdot 7^{4} \cdot 397 \) |
$2.75262$ |
$(-2a+1), (3a-2), (-23a+11), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.589693090$ |
$0.578828484$ |
4.250035336 |
\( \frac{10338824362516921}{5719182} a - \frac{2518871090147339}{5719182} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -1086 a - 33\) , \( 15291 a - 6993\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1086a-33\right){x}+15291a-6993$ |
| 100044.4-a2 |
100044.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.4 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{2} \cdot 3^{10} \cdot 7 \cdot 397^{4} \) |
$2.75262$ |
$(-2a+1), (3a-2), (-23a+11), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.589693090$ |
$0.578828484$ |
4.250035336 |
\( \frac{4204477493477}{1043305069002} a - \frac{29392106962381}{3129915207006} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -6 a + 27\) , \( 783 a - 225\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a+27\right){x}+783a-225$ |
| 100044.4-a3 |
100044.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.4 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{8} \cdot 3^{7} \cdot 7 \cdot 397 \) |
$2.75262$ |
$(-2a+1), (3a-2), (-23a+11), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.397423272$ |
$2.315313937$ |
4.250035336 |
\( -\frac{102274919}{133392} a + \frac{365241559}{133392} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -6 a - 3\) , \( -15 a + 3\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a-3\right){x}-15a+3$ |
| 100044.4-a4 |
100044.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.4 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{2} \cdot 397^{2} \) |
$2.75262$ |
$(-2a+1), (3a-2), (-23a+11), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.794846545$ |
$1.157656968$ |
4.250035336 |
\( \frac{862372487203}{30891364} a + \frac{443996814878}{23168523} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -66 a - 3\) , \( 189 a - 81\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-66a-3\right){x}+189a-81$ |
| 100044.4-b1 |
100044.4-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.4 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{6} \cdot 3^{7} \cdot 7^{5} \cdot 397 \) |
$2.75262$ |
$(-2a+1), (3a-2), (-23a+11), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \cdot 5 \) |
$0.054243029$ |
$1.386418005$ |
5.210252156 |
\( -\frac{6591228001}{160137096} a + \frac{216443599097}{160137096} \) |
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( 24 a - 19\) , \( a + 26\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(24a-19\right){x}+a+26$ |
| 100044.4-c1 |
100044.4-c |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.4 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{8} \cdot 3^{9} \cdot 7 \cdot 397^{3} \) |
$2.75262$ |
$(-2a+1), (3a-2), (-23a+11), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$9$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.326419116$ |
2.261497976 |
\( \frac{159722861602164825}{7007926576} a - \frac{13236203242560642}{437995411} \) |
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 1032 a - 2595\) , \( 26973 a - 47925\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(1032a-2595\right){x}+26973a-47925$ |
| 100044.4-c2 |
100044.4-c |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.4 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{6} \cdot 397^{2} \) |
$2.75262$ |
$(-2a+1), (3a-2), (-23a+11), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.489628674$ |
2.261497976 |
\( \frac{38342039490623763}{593361319712} a - \frac{634876654685842251}{1186722639424} \) |
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -328 a - 355\) , \( 4205 a + 1947\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-328a-355\right){x}+4205a+1947$ |
| 100044.4-c3 |
100044.4-c |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.4 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{24} \cdot 3^{3} \cdot 7^{3} \cdot 397 \) |
$2.75262$ |
$(-2a+1), (3a-2), (-23a+11), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.979257349$ |
2.261497976 |
\( \frac{8696334393}{17429888} a + \frac{282626938935}{557756416} \) |
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -8 a - 35\) , \( 109 a - 37\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-8a-35\right){x}+109a-37$ |
| 100044.4-c4 |
100044.4-c |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100044.4 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \) |
\( 2^{4} \cdot 3^{9} \cdot 7^{2} \cdot 397^{6} \) |
$2.75262$ |
$(-2a+1), (3a-2), (-23a+11), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$9$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.163209558$ |
2.261497976 |
\( -\frac{4223894653531191077175}{767359920228235684} a + \frac{1093675828459007809977}{767359920228235684} \) |
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 912 a - 2535\) , \( 31473 a - 49365\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(912a-2535\right){x}+31473a-49365$ |
| 100048.3-a1 |
100048.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100048.3 |
\( 2^{4} \cdot 13^{2} \cdot 37 \) |
\( 2^{8} \cdot 13^{15} \cdot 37 \) |
$2.75265$ |
$(-4a+1), (4a-3), (-7a+4), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$1$ |
$0.254853929$ |
0.882839907 |
\( -\frac{646664615710720000}{862029149531797} a - \frac{688292092418048000}{862029149531797} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -733 a + 473\) , \( -6700 a + 10440\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-733a+473\right){x}-6700a+10440$ |
| 100048.3-a2 |
100048.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100048.3 |
\( 2^{4} \cdot 13^{2} \cdot 37 \) |
\( 2^{16} \cdot 13^{4} \cdot 37^{6} \) |
$2.75265$ |
$(-4a+1), (4a-3), (-7a+4), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.382280893$ |
0.882839907 |
\( \frac{233272982448000}{433607763121} a - \frac{209902219234000}{433607763121} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -53 a + 238\) , \( -2835 a + 1681\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-53a+238\right){x}-2835a+1681$ |
| 100048.3-a3 |
100048.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100048.3 |
\( 2^{4} \cdot 13^{2} \cdot 37 \) |
\( 2^{8} \cdot 13^{5} \cdot 37^{3} \) |
$2.75265$ |
$(-4a+1), (4a-3), (-7a+4), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.764561787$ |
0.882839907 |
\( -\frac{1503480066048000}{1446700333} a + \frac{1228490184704000}{1446700333} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -13 a + 273\) , \( -2020 a + 852\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-13a+273\right){x}-2020a+852$ |
| 100048.3-a4 |
100048.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100048.3 |
\( 2^{4} \cdot 13^{2} \cdot 37 \) |
\( 2^{16} \cdot 13^{12} \cdot 37^{2} \) |
$2.75265$ |
$(-4a+1), (4a-3), (-7a+4), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$1$ |
$0.127426964$ |
0.882839907 |
\( \frac{18997711362640000}{6607901521} a + \frac{9498972044622000}{6607901521} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -13333 a + 8038\) , \( -316475 a + 550777\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-13333a+8038\right){x}-316475a+550777$ |
| 100048.3-b1 |
100048.3-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100048.3 |
\( 2^{4} \cdot 13^{2} \cdot 37 \) |
\( 2^{16} \cdot 13^{4} \cdot 37^{2} \) |
$2.75265$ |
$(-4a+1), (4a-3), (-7a+4), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.745624747$ |
$1.086036477$ |
3.740193631 |
\( -\frac{361118720}{17797} a - \frac{1816543824}{231361} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 82 a - 51\) , \( -237 a + 6\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(82a-51\right){x}-237a+6$ |
| 100048.3-b2 |
100048.3-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100048.3 |
\( 2^{4} \cdot 13^{2} \cdot 37 \) |
\( 2^{8} \cdot 13^{5} \cdot 37 \) |
$2.75265$ |
$(-4a+1), (4a-3), (-7a+4), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.491249495$ |
$2.172072955$ |
3.740193631 |
\( \frac{1762918400}{1056757} a - \frac{395362304}{1056757} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 7 a - 11\) , \( 8 a - 12\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(7a-11\right){x}+8a-12$ |
| 100048.4-a1 |
100048.4-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100048.4 |
\( 2^{4} \cdot 13^{2} \cdot 37 \) |
\( 2^{8} \cdot 13^{5} \cdot 37^{3} \) |
$2.75265$ |
$(-4a+1), (4a-3), (-7a+3), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.764561787$ |
0.882839907 |
\( \frac{1503480066048000}{1446700333} a - \frac{274989881344000}{1446700333} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -273 a + 13\) , \( 2020 a - 1168\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-273a+13\right){x}+2020a-1168$ |
| 100048.4-a2 |
100048.4-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
100048.4 |
\( 2^{4} \cdot 13^{2} \cdot 37 \) |
\( 2^{8} \cdot 13^{15} \cdot 37 \) |
$2.75265$ |
$(-4a+1), (4a-3), (-7a+3), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$1$ |
$0.254853929$ |
0.882839907 |
\( \frac{646664615710720000}{862029149531797} a - \frac{1334956708128768000}{862029149531797} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -473 a + 733\) , \( 6700 a + 3740\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-473a+733\right){x}+6700a+3740$ |
*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.
