| 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 |
| 49.1-CMa1 |
49.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
49.1 |
\( 7^{2} \) |
\( 7^{2} \) |
$0.40949$ |
$(-3a+1)$ |
0 |
$\Z/7\Z$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$7$ |
7Cs.1.1 |
$1$ |
\( 1 \) |
$1$ |
$10.15449534$ |
0.239293902 |
\( 0 \) |
\( \bigl[0\) , \( a + 1\) , \( a\) , \( a\) , \( 0\bigr] \) |
${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}$ |
| 49.3-CMa1 |
49.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
49.3 |
\( 7^{2} \) |
\( 7^{2} \) |
$0.40949$ |
$(3a-2)$ |
0 |
$\Z/7\Z$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$7$ |
7Cs.1.1 |
$1$ |
\( 1 \) |
$1$ |
$10.15449534$ |
0.239293902 |
\( 0 \) |
\( \bigl[0\) , \( -a - 1\) , \( a + 1\) , \( a\) , \( -a\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-a$ |
| 417.1-a1 |
417.1-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
417.1 |
\( 3 \cdot 139 \) |
\( 3^{7} \cdot 139 \) |
$0.69941$ |
$(-2a+1), (13a-10)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7 \) |
$1$ |
$4.757699234$ |
0.784816838 |
\( \frac{2609152}{11259} a + \frac{22171648}{11259} \) |
\( \bigl[0\) , \( 1\) , \( a\) , \( 2 a - 2\) , \( a - 1\bigr] \) |
${y}^2+a{y}={x}^{3}+{x}^{2}+\left(2a-2\right){x}+a-1$ |
| 417.2-a1 |
417.2-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
417.2 |
\( 3 \cdot 139 \) |
\( 3^{7} \cdot 139 \) |
$0.69941$ |
$(-2a+1), (13a-3)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7 \) |
$1$ |
$4.757699234$ |
0.784816838 |
\( -\frac{2609152}{11259} a + \frac{24780800}{11259} \) |
\( \bigl[0\) , \( 1\) , \( a + 1\) , \( -2 a\) , \( -2 a\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}-2a{x}-2a$ |
| 676.2-a2 |
676.2-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
676.2 |
\( 2^{2} \cdot 13^{2} \) |
\( 2^{14} \cdot 13^{2} \) |
$0.78920$ |
$(-4a+1), (4a-3), (2)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7 \) |
$1$ |
$3.920899519$ |
0.646780683 |
\( -\frac{2146689}{1664} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -3\) , \( 3\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-3{x}+3$ |
| 6708.2-a2 |
6708.2-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
6708.2 |
\( 2^{2} \cdot 3 \cdot 13 \cdot 43 \) |
\( 2^{14} \cdot 3^{7} \cdot 13 \cdot 43 \) |
$1.40071$ |
$(-2a+1), (-4a+1), (7a-6), (2)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1$ |
$1.868069711$ |
2.157061101 |
\( \frac{11672493383}{5795712} a - \frac{414046315}{5795712} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 2 a - 15\) , \( 6 a + 14\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(2a-15\right){x}+6a+14$ |
| 6708.3-a2 |
6708.3-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
6708.3 |
\( 2^{2} \cdot 3 \cdot 13 \cdot 43 \) |
\( 2^{14} \cdot 3^{7} \cdot 13 \cdot 43 \) |
$1.40071$ |
$(-2a+1), (4a-3), (-7a+1), (2)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1$ |
$1.868069711$ |
2.157061101 |
\( -\frac{11672493383}{5795712} a + \frac{2814611767}{1448928} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -2 a - 13\) , \( -6 a + 20\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-2a-13\right){x}-6a+20$ |
| 7644.1-d1 |
7644.1-d |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
7644.1 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{7} \cdot 7^{2} \cdot 13 \) |
$1.44720$ |
$(-2a+1), (-3a+1), (-4a+1), (2)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1$ |
$1.804767720$ |
2.083966258 |
\( \frac{246299527}{134784} a - \frac{449596613}{134784} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( -7 a + 18\) , \( 28 a - 7\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-7a+18\right){x}+28a-7$ |
| 7644.6-d1 |
7644.6-d |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
7644.6 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{7} \cdot 7^{2} \cdot 13 \) |
$1.44720$ |
$(-2a+1), (3a-2), (4a-3), (2)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1$ |
$1.804767720$ |
2.083966258 |
\( -\frac{246299527}{134784} a - \frac{101648543}{67392} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( 8 a + 11\) , \( -21 a + 32\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(8a+11\right){x}-21a+32$ |
| 10092.1-d2 |
10092.1-d |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10092.1 |
\( 2^{2} \cdot 3 \cdot 29^{2} \) |
\( 2^{14} \cdot 3^{14} \cdot 29^{2} \) |
$1.55129$ |
$(-2a+1), (2), (29)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$1$ |
$0.990661053$ |
2.287833704 |
\( -\frac{117649}{8118144} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -a + 1\) , \( 137\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-a+1\right){x}+137$ |
| 13377.4-c1 |
13377.4-c |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
13377.4 |
\( 3 \cdot 7^{3} \cdot 13 \) |
\( 3^{7} \cdot 7^{9} \cdot 13 \) |
$1.66452$ |
$(-2a+1), (-3a+1), (3a-2), (4a-3)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1$ |
$1.371874668$ |
1.584104418 |
\( \frac{198730264576}{867190779} a + \frac{319831490560}{867190779} \) |
\( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( 17\) , \( 17 a - 53\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+17{x}+17a-53$ |
| 13377.5-c1 |
13377.5-c |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
13377.5 |
\( 3 \cdot 7^{3} \cdot 13 \) |
\( 3^{7} \cdot 7^{9} \cdot 13 \) |
$1.66452$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1$ |
$1.371874668$ |
1.584104418 |
\( -\frac{198730264576}{867190779} a + \frac{518561755136}{867190779} \) |
\( \bigl[0\) , \( -a\) , \( a\) , \( 17\) , \( -18 a - 35\bigr] \) |
${y}^2+a{y}={x}^{3}-a{x}^{2}+17{x}-18a-35$ |
| 22188.2-i2 |
22188.2-i |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
22188.2 |
\( 2^{2} \cdot 3 \cdot 43^{2} \) |
\( 2^{28} \cdot 3^{14} \cdot 43^{2} \) |
$1.88899$ |
$(-2a+1), (-7a+1), (7a-6), (2)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2^{2} \cdot 7^{2} \) |
$1.008899832$ |
$0.409862375$ |
3.819842511 |
\( \frac{444369620591}{1540767744} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 159 a - 159\) , \( 1737\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(159a-159\right){x}+1737$ |
| 26481.2-c2 |
26481.2-c |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
26481.2 |
\( 3 \cdot 7 \cdot 13 \cdot 97 \) |
\( 3^{7} \cdot 7^{7} \cdot 13 \cdot 97 \) |
$1.97439$ |
$(-2a+1), (-3a+1), (-4a+1), (-11a+8)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1.238784154$ |
$1.153958393$ |
3.301301248 |
\( -\frac{1035020660977664}{84117505563} a + \frac{968065995071488}{84117505563} \) |
\( \bigl[0\) , \( 1\) , \( a + 1\) , \( 58 a - 50\) , \( -150 a + 30\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(58a-50\right){x}-150a+30$ |
| 26481.7-c1 |
26481.7-c |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
26481.7 |
\( 3 \cdot 7 \cdot 13 \cdot 97 \) |
\( 3^{7} \cdot 7^{7} \cdot 13 \cdot 97 \) |
$1.97439$ |
$(-2a+1), (3a-2), (4a-3), (-11a+3)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1.238784154$ |
$1.153958393$ |
3.301301248 |
\( \frac{1035020660977664}{84117505563} a - \frac{66954665906176}{84117505563} \) |
\( \bigl[0\) , \( -a\) , \( a\) , \( 8 a + 50\) , \( 149 a - 119\bigr] \) |
${y}^2+a{y}={x}^{3}-a{x}^{2}+\left(8a+50\right){x}+149a-119$ |
| 28588.1-a2 |
28588.1-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28588.1 |
\( 2^{2} \cdot 7 \cdot 1021 \) |
\( 2^{14} \cdot 7^{7} \cdot 1021 \) |
$2.01254$ |
$(-3a+1), (-36a+25), (2)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$0.928302052$ |
$1.080628784$ |
2.316675502 |
\( \frac{112896798704001}{107627187584} a + \frac{106913407189275}{53813593792} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( -38 a - 12\) , \( -78 a + 43\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-38a-12\right){x}-78a+43$ |
| 28588.4-a2 |
28588.4-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28588.4 |
\( 2^{2} \cdot 7 \cdot 1021 \) |
\( 2^{14} \cdot 7^{7} \cdot 1021 \) |
$2.01254$ |
$(3a-2), (36a-11), (2)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$0.928302052$ |
$1.080628784$ |
2.316675502 |
\( -\frac{112896798704001}{107627187584} a + \frac{326723613082551}{107627187584} \) |
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( 12 a + 37\) , \( 77 a - 34\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(12a+37\right){x}+77a-34$ |
| 28812.3-i1 |
28812.3-i |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28812.3 |
\( 2^{2} \cdot 3 \cdot 7^{4} \) |
\( 2^{14} \cdot 3^{14} \cdot 7^{4} \) |
$2.01647$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$1.160660403$ |
$0.764179074$ |
4.096657620 |
\( -\frac{6329617441}{279936} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 141 a\) , \( 657\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+141a{x}+657$ |
| 48244.1-a2 |
48244.1-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
48244.1 |
\( 2^{2} \cdot 7 \cdot 1723 \) |
\( 2^{14} \cdot 7^{7} \cdot 1723 \) |
$2.29382$ |
$(-3a+1), (-42a+1), (2)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1$ |
$0.944680075$ |
1.090822591 |
\( -\frac{2193304742119179}{181627467392} a + \frac{649438781861349}{45406866848} \) |
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( -14 a - 76\) , \( -24 a - 291\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-14a-76\right){x}-24a-291$ |
| 48244.4-a2 |
48244.4-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
48244.4 |
\( 2^{2} \cdot 7 \cdot 1723 \) |
\( 2^{14} \cdot 7^{7} \cdot 1723 \) |
$2.29382$ |
$(3a-2), (42a-41), (2)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1$ |
$0.944680075$ |
1.090822591 |
\( \frac{2193304742119179}{181627467392} a + \frac{404450385326217}{181627467392} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( 75 a + 14\) , \( 23 a - 315\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(75a+14\right){x}+23a-315$ |
| 50869.10-a1 |
50869.10-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50869.10 |
\( 7 \cdot 13^{2} \cdot 43 \) |
\( 7^{7} \cdot 13^{9} \cdot 43 \) |
$2.32441$ |
$(3a-2), (-4a+1), (4a-3), (7a-6)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$1$ |
$0.375092554$ |
0.866239149 |
\( \frac{174706175259064332288}{2222072383236433} a - \frac{109754442281962119168}{2222072383236433} \) |
\( \bigl[0\) , \( a + 1\) , \( a + 1\) , \( -705 a + 743\) , \( -907 a - 6684\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-705a+743\right){x}-907a-6684$ |
| 50869.3-a2 |
50869.3-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50869.3 |
\( 7 \cdot 13^{2} \cdot 43 \) |
\( 7^{7} \cdot 13^{9} \cdot 43 \) |
$2.32441$ |
$(-3a+1), (-4a+1), (4a-3), (-7a+1)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$1$ |
$0.375092554$ |
0.866239149 |
\( -\frac{174706175259064332288}{2222072383236433} a + \frac{64951732977102213120}{2222072383236433} \) |
\( \bigl[0\) , \( -a - 1\) , \( a\) , \( 707 a + 37\) , \( 200 a - 7627\bigr] \) |
${y}^2+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(707a+37\right){x}+200a-7627$ |
| 57603.3-a1 |
57603.3-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
57603.3 |
\( 3 \cdot 7 \cdot 13 \cdot 211 \) |
\( 3^{14} \cdot 7^{7} \cdot 13 \cdot 211 \) |
$2.39779$ |
$(-2a+1), (-3a+1), (4a-3), (-15a+1)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$1$ |
$0.579713308$ |
1.338790538 |
\( \frac{18308451368022016}{4940385867963} a + \frac{34028637872427008}{4940385867963} \) |
\( \bigl[0\) , \( -a\) , \( a\) , \( -220 a + 32\) , \( -1099 a + 757\bigr] \) |
${y}^2+a{y}={x}^{3}-a{x}^{2}+\left(-220a+32\right){x}-1099a+757$ |
| 57603.6-a2 |
57603.6-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
57603.6 |
\( 3 \cdot 7 \cdot 13 \cdot 211 \) |
\( 3^{14} \cdot 7^{7} \cdot 13 \cdot 211 \) |
$2.39779$ |
$(-2a+1), (3a-2), (-4a+1), (15a-14)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$1$ |
$0.579713308$ |
1.338790538 |
\( -\frac{18308451368022016}{4940385867963} a + \frac{17445696413483008}{1646795289321} \) |
\( \bigl[0\) , \( -a\) , \( a + 1\) , \( -32 a + 220\) , \( 1098 a - 342\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-32a+220\right){x}+1098a-342$ |
| 83811.4-b1 |
83811.4-b |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
83811.4 |
\( 3 \cdot 7 \cdot 13 \cdot 307 \) |
\( 3^{14} \cdot 7^{7} \cdot 13 \cdot 307 \) |
$2.63345$ |
$(-2a+1), (-3a+1), (4a-3), (18a-17)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$1.872058031$ |
$0.526567644$ |
4.553054372 |
\( \frac{92885988744728576}{7188144367131} a - \frac{198829198962262016}{7188144367131} \) |
\( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( -59 a - 267\) , \( 549 a + 1784\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-59a-267\right){x}+549a+1784$ |
| 83811.5-a1 |
83811.5-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
83811.5 |
\( 3 \cdot 7 \cdot 13 \cdot 307 \) |
\( 3^{14} \cdot 7^{7} \cdot 13 \cdot 307 \) |
$2.63345$ |
$(-2a+1), (3a-2), (-4a+1), (-18a+1)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$1.872058031$ |
$0.526567644$ |
4.553054372 |
\( -\frac{92885988744728576}{7188144367131} a - \frac{11771467801948160}{798682707459} \) |
\( \bigl[0\) , \( a - 1\) , \( a\) , \( -326 a + 267\) , \( -550 a + 2334\bigr] \) |
${y}^2+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-326a+267\right){x}-550a+2334$ |
| 99372.2-l1 |
99372.2-l |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
99372.2 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{7} \cdot 7^{2} \cdot 13^{9} \) |
$2.74799$ |
$(-2a+1), (-3a+1), (-4a+1), (4a-3), (2)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{3} \) |
$0.648009908$ |
$0.284264675$ |
5.955688041 |
\( \frac{10979547264619751}{325288312128} a + \frac{3229505436853951}{650576624256} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 1291 a - 521\) , \( 9813 a + 6507\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(1291a-521\right){x}+9813a+6507$ |
| 99372.5-j2 |
99372.5-j |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
99372.5 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{14} \cdot 7^{14} \cdot 13^{2} \) |
$2.74799$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (4a-3), (2)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{4} \) |
$0.228946173$ |
$0.116812499$ |
6.052686005 |
\( \frac{40251338884511}{2997011332224} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -714 a\) , \( -82908\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-714a{x}-82908$ |
| 99372.8-l2 |
99372.8-l |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
99372.8 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{7} \cdot 7^{2} \cdot 13^{9} \) |
$2.74799$ |
$(-2a+1), (3a-2), (-4a+1), (4a-3), (2)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{3} \) |
$0.648009908$ |
$0.284264675$ |
5.955688041 |
\( -\frac{10979547264619751}{325288312128} a + \frac{25188599966093453}{650576624256} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 770 a + 521\) , \( -9813 a + 16320\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(770a+521\right){x}-9813a+16320$ |
| 128233.3-a1 |
128233.3-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
128233.3 |
\( 7^{2} \cdot 2617 \) |
\( 7^{14} \cdot 2617 \) |
$2.92886$ |
$(-3a+1), (3a-2), (-59a+32)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1.409761658$ |
$0.661805733$ |
2.154644297 |
\( \frac{26061062197248}{2155212031} a - \frac{23351142924288}{2155212031} \) |
\( \bigl[0\) , \( 0\) , \( a + 1\) , \( -189 a + 92\) , \( 652 a - 940\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(-189a+92\right){x}+652a-940$ |
| 128233.4-a1 |
128233.4-a |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
128233.4 |
\( 7^{2} \cdot 2617 \) |
\( 7^{14} \cdot 2617 \) |
$2.92886$ |
$(-3a+1), (3a-2), (-59a+27)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1.409761658$ |
$0.661805733$ |
2.154644297 |
\( -\frac{26061062197248}{2155212031} a + \frac{2709919272960}{2155212031} \) |
\( \bigl[0\) , \( 0\) , \( a\) , \( -92 a + 189\) , \( -653 a - 287\bigr] \) |
${y}^2+a{y}={x}^{3}+\left(-92a+189\right){x}-653a-287$ |
| 194.1-b2 |
194.1-b |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
194.1 |
\( 2 \cdot 97 \) |
\( 2^{7} \cdot 97 \) |
$0.66699$ |
$(a+1), (-4a+9)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7 \) |
$1$ |
$6.314133367$ |
0.902019052 |
\( \frac{493285}{1552} a + \frac{823523}{1552} \) |
\( \bigl[1\) , \( -i\) , \( 1\) , \( -i - 1\) , \( -1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-i-1\right){x}-1$ |
| 194.2-b2 |
194.2-b |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
194.2 |
\( 2 \cdot 97 \) |
\( 2^{7} \cdot 97 \) |
$0.66699$ |
$(a+1), (4a+9)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7 \) |
$1$ |
$6.314133367$ |
0.902019052 |
\( -\frac{493285}{1552} a + \frac{823523}{1552} \) |
\( \bigl[1\) , \( i\) , \( 1\) , \( i - 1\) , \( -1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(i-1\right){x}-1$ |
| 338.2-b2 |
338.2-b |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
338.2 |
\( 2 \cdot 13^{2} \) |
\( 2^{14} \cdot 13^{2} \) |
$0.76630$ |
$(a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7 \) |
$1$ |
$3.920899519$ |
1.120257005 |
\( -\frac{2146689}{1664} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -3\) , \( 3\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-3{x}+3$ |
| 3770.4-d1 |
3770.4-d |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
3770.4 |
\( 2 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{7} \cdot 5^{7} \cdot 13 \cdot 29 \) |
$1.40041$ |
$(a+1), (-a-2), (2a+3), (2a+5)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1$ |
$2.194703196$ |
2.194703196 |
\( \frac{14469318307}{471250000} a + \frac{630106780001}{471250000} \) |
\( \bigl[1\) , \( i + 1\) , \( i + 1\) , \( -7 i + 5\) , \( 4 i + 4\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-7i+5\right){x}+4i+4$ |
| 3770.5-d1 |
3770.5-d |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
3770.5 |
\( 2 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{7} \cdot 5^{7} \cdot 13 \cdot 29 \) |
$1.40041$ |
$(a+1), (2a+1), (-3a-2), (-2a+5)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$1$ |
$2.194703196$ |
2.194703196 |
\( -\frac{14469318307}{471250000} a + \frac{630106780001}{471250000} \) |
\( \bigl[1\) , \( -i + 1\) , \( i + 1\) , \( 6 i + 5\) , \( -5 i + 4\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(6i+5\right){x}-5i+4$ |
| 5330.3-d2 |
5330.3-d |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
5330.3 |
\( 2 \cdot 5 \cdot 13 \cdot 41 \) |
\( 2^{7} \cdot 5^{7} \cdot 13 \cdot 41 \) |
$1.52704$ |
$(a+1), (-a-2), (2a+3), (-5a-4)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$0.791481059$ |
$2.006834595$ |
3.176743143 |
\( -\frac{1053713724403}{666250000} a + \frac{3447465603221}{666250000} \) |
\( \bigl[1\) , \( -i + 1\) , \( i + 1\) , \( 13 i + 5\) , \( -12\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(13i+5\right){x}-12$ |
| 5330.6-d2 |
5330.6-d |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
5330.6 |
\( 2 \cdot 5 \cdot 13 \cdot 41 \) |
\( 2^{7} \cdot 5^{7} \cdot 13 \cdot 41 \) |
$1.52704$ |
$(a+1), (2a+1), (-3a-2), (4a+5)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 7^{2} \) |
$0.791481059$ |
$2.006834595$ |
3.176743143 |
\( \frac{1053713724403}{666250000} a + \frac{3447465603221}{666250000} \) |
\( \bigl[1\) , \( i + 1\) , \( i + 1\) , \( -14 i + 5\) , \( -i - 12\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-14i+5\right){x}-i-12$ |
| 9370.1-b2 |
9370.1-b |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
9370.1 |
\( 2 \cdot 5 \cdot 937 \) |
\( 2^{14} \cdot 5^{7} \cdot 937 \) |
$1.75834$ |
$(a+1), (-a-2), (-19a+24)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$0.726053431$ |
$1.300348631$ |
3.776490345 |
\( -\frac{29265686201263}{9370000000} a + \frac{6100759572433}{4685000000} \) |
\( \bigl[1\) , \( -i + 1\) , \( 0\) , \( i - 32\) , \( -12 i + 51\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(i-32\right){x}-12i+51$ |
| 9370.4-b2 |
9370.4-b |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
9370.4 |
\( 2 \cdot 5 \cdot 937 \) |
\( 2^{14} \cdot 5^{7} \cdot 937 \) |
$1.75834$ |
$(a+1), (2a+1), (-24a+19)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$0.726053431$ |
$1.300348631$ |
3.776490345 |
\( \frac{29265686201263}{9370000000} a + \frac{6100759572433}{4685000000} \) |
\( \bigl[1\) , \( i + 1\) , \( 0\) , \( -i - 32\) , \( 12 i + 51\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-i-32\right){x}+12i+51$ |
| 10930.2-a1 |
10930.2-a |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
10930.2 |
\( 2 \cdot 5 \cdot 1093 \) |
\( 2^{14} \cdot 5^{7} \cdot 1093 \) |
$1.82736$ |
$(a+1), (-a-2), (2a+33)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$1$ |
$1.248892574$ |
2.497785149 |
\( -\frac{13663821798593}{10930000000} a - \frac{13784254974331}{2732500000} \) |
\( \bigl[1\) , \( i + 1\) , \( 0\) , \( 6 i + 38\) , \( -88 i + 32\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(6i+38\right){x}-88i+32$ |
| 10930.3-a1 |
10930.3-a |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
10930.3 |
\( 2 \cdot 5 \cdot 1093 \) |
\( 2^{14} \cdot 5^{7} \cdot 1093 \) |
$1.82736$ |
$(a+1), (2a+1), (-2a+33)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$1$ |
$1.248892574$ |
2.497785149 |
\( \frac{13663821798593}{10930000000} a - \frac{13784254974331}{2732500000} \) |
\( \bigl[i\) , \( i - 1\) , \( 0\) , \( -6 i + 38\) , \( -88 i - 32\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-6i+38\right){x}-88i-32$ |
| 14690.2-d2 |
14690.2-d |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
14690.2 |
\( 2 \cdot 5 \cdot 13 \cdot 113 \) |
\( 2^{21} \cdot 5^{7} \cdot 13 \cdot 113 \) |
$1.96754$ |
$(a+1), (-a-2), (-3a-2), (7a+8)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 3 \cdot 7^{2} \) |
$1$ |
$0.836548082$ |
2.509644246 |
\( \frac{324605467355249}{235040000000} a + \frac{839562417952807}{235040000000} \) |
\( \bigl[i\) , \( i\) , \( i\) , \( -45 i + 68\) , \( 188 i + 157\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-45i+68\right){x}+188i+157$ |
| 14690.7-d2 |
14690.7-d |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
14690.7 |
\( 2 \cdot 5 \cdot 13 \cdot 113 \) |
\( 2^{21} \cdot 5^{7} \cdot 13 \cdot 113 \) |
$1.96754$ |
$(a+1), (2a+1), (2a+3), (-8a-7)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 3 \cdot 7^{2} \) |
$1$ |
$0.836548082$ |
2.509644246 |
\( -\frac{324605467355249}{235040000000} a + \frac{839562417952807}{235040000000} \) |
\( \bigl[i\) , \( -i\) , \( i\) , \( 45 i + 68\) , \( -188 i + 157\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(45i+68\right){x}-188i+157$ |
| 15138.2-d2 |
15138.2-d |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
15138.2 |
\( 2 \cdot 3^{2} \cdot 29^{2} \) |
\( 2^{14} \cdot 3^{14} \cdot 29^{2} \) |
$1.98237$ |
$(a+1), (-2a+5), (2a+5), (3)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$1.053018763$ |
$0.990661053$ |
4.172738711 |
\( -\frac{117649}{8118144} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -1\) , \( -137\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}-137$ |
| 25610.2-d2 |
25610.2-d |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
25610.2 |
\( 2 \cdot 5 \cdot 13 \cdot 197 \) |
\( 2^{21} \cdot 5^{7} \cdot 13 \cdot 197 \) |
$2.26085$ |
$(a+1), (-a-2), (-3a-2), (a-14)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 3 \cdot 7^{2} \) |
$1$ |
$0.725625310$ |
2.176875932 |
\( -\frac{7343677813054481}{409760000000} a + \frac{2207895601454917}{409760000000} \) |
\( \bigl[1\) , \( i\) , \( 1\) , \( 52 i - 143\) , \( 339 i - 626\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(52i-143\right){x}+339i-626$ |
| 25610.7-d2 |
25610.7-d |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
25610.7 |
\( 2 \cdot 5 \cdot 13 \cdot 197 \) |
\( 2^{21} \cdot 5^{7} \cdot 13 \cdot 197 \) |
$2.26085$ |
$(a+1), (2a+1), (2a+3), (a+14)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 3 \cdot 7^{2} \) |
$1$ |
$0.725625310$ |
2.176875932 |
\( \frac{7343677813054481}{409760000000} a + \frac{2207895601454917}{409760000000} \) |
\( \bigl[1\) , \( -i\) , \( 1\) , \( -52 i - 143\) , \( -339 i - 626\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-52i-143\right){x}-339i-626$ |
| 33282.1-g2 |
33282.1-g |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33282.1 |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{28} \cdot 3^{14} \cdot 43^{2} \) |
$2.41391$ |
$(a+1), (3), (43)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2^{2} \cdot 7^{2} \) |
$1$ |
$0.409862375$ |
1.639449500 |
\( \frac{444369620591}{1540767744} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( 159\) , \( -1737\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+159{x}-1737$ |
| 33930.1-d1 |
33930.1-d |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33930.1 |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{7} \cdot 3^{14} \cdot 5^{7} \cdot 13^{2} \cdot 29 \) |
$2.42557$ |
$(a+1), (-a-2), (-3a-2), (-2a+5), (3)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{3} \) |
$0.440246972$ |
$0.465556305$ |
5.738873121 |
\( \frac{54981962133268901}{13398108750000} a + \frac{19988594138170643}{13398108750000} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -174 i - 203\) , \( -1572 i - 507\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-174i-203\right){x}-1572i-507$ |
| 33930.8-d1 |
33930.8-d |
$2$ |
$7$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33930.8 |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{7} \cdot 3^{14} \cdot 5^{7} \cdot 13^{2} \cdot 29 \) |
$2.42557$ |
$(a+1), (2a+1), (2a+3), (2a+5), (3)$ |
$1$ |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{3} \) |
$0.440246972$ |
$0.465556305$ |
5.738873121 |
\( -\frac{54981962133268901}{13398108750000} a + \frac{19988594138170643}{13398108750000} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( 174 i - 203\) , \( -1572 i + 507\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+\left(174i-203\right){x}-1572i+507$ |
*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.
