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 |
121.1-a2 |
121.1-a |
$3$ |
$25$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
121.1 |
\( 11^{2} \) |
\( 11^{10} \) |
$0.51333$ |
$(11)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5Cs.1.1 |
$1$ |
\( 5 \) |
$1$ |
$1.851543623$ |
0.427595683 |
\( -\frac{122023936}{161051} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( -10\) , \( -20\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}-10{x}-20$ |
121.1-a3 |
121.1-a |
$3$ |
$25$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
121.1 |
\( 11^{2} \) |
\( 11^{2} \) |
$0.51333$ |
$(11)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 1 \) |
$1$ |
$9.257718117$ |
0.427595683 |
\( -\frac{4096}{11} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( 0\) , \( 0\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}$ |
124.1-a2 |
124.1-a |
$3$ |
$25$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
124.1 |
\( 2^{2} \cdot 31 \) |
\( 2^{2} \cdot 31 \) |
$0.51648$ |
$(-6a+1), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 1 \) |
$1$ |
$9.210794651$ |
0.425428381 |
\( -\frac{24551}{62} a + \frac{45753}{31} \) |
\( \bigl[a + 1\) , \( a\) , \( a\) , \( 0\) , \( 0\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}$ |
124.1-a3 |
124.1-a |
$3$ |
$25$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
124.1 |
\( 2^{2} \cdot 31 \) |
\( 2^{10} \cdot 31^{5} \) |
$0.51648$ |
$(-6a+1), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5Cs.1.1 |
$1$ |
\( 5 \) |
$1$ |
$1.842158930$ |
0.425428381 |
\( \frac{511363962461}{916132832} a + \frac{1018073036305}{916132832} \) |
\( \bigl[a + 1\) , \( a\) , \( a\) , \( -15 a + 5\) , \( -7 a + 21\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-15a+5\right){x}-7a+21$ |
124.2-a2 |
124.2-a |
$3$ |
$25$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
124.2 |
\( 2^{2} \cdot 31 \) |
\( 2^{2} \cdot 31 \) |
$0.51648$ |
$(6a-5), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 1 \) |
$1$ |
$9.210794651$ |
0.425428381 |
\( \frac{24551}{62} a + \frac{66955}{62} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -a + 1\) , \( 0\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+1\right){x}$ |
124.2-a3 |
124.2-a |
$3$ |
$25$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
124.2 |
\( 2^{2} \cdot 31 \) |
\( 2^{10} \cdot 31^{5} \) |
$0.51648$ |
$(6a-5), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5Cs.1.1 |
$1$ |
\( 5 \) |
$1$ |
$1.842158930$ |
0.425428381 |
\( -\frac{511363962461}{916132832} a + \frac{764718499383}{458066416} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 14 a - 9\) , \( -3 a + 9\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(14a-9\right){x}-3a+9$ |
532.2-a1 |
532.2-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
532.2 |
\( 2^{2} \cdot 7 \cdot 19 \) |
\( 2^{6} \cdot 7^{5} \cdot 19 \) |
$0.74332$ |
$(-3a+1), (-5a+2), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1$ |
$3.087467848$ |
0.713020157 |
\( -\frac{20266429109}{2554664} a - \frac{605578053}{638666} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( 7 a - 7\) , \( 7 a - 4\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(7a-7\right){x}+7a-4$ |
532.3-a1 |
532.3-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
532.3 |
\( 2^{2} \cdot 7 \cdot 19 \) |
\( 2^{6} \cdot 7^{5} \cdot 19 \) |
$0.74332$ |
$(3a-2), (-5a+3), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1$ |
$3.087467848$ |
0.713020157 |
\( \frac{20266429109}{2554664} a - \frac{22688741321}{2554664} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( -7 a\) , \( -7 a + 3\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}-7a{x}-7a+3$ |
1083.2-c2 |
1083.2-c |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1083.2 |
\( 3 \cdot 19^{2} \) |
\( 3^{20} \cdot 19^{2} \) |
$0.88788$ |
$(-2a+1), (-5a+3), (-5a+2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$1.358829150$ |
1.255232601 |
\( \frac{841232384}{1121931} \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( 20 a - 20\) , \( -32\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(20a-20\right){x}-32$ |
1137.1-a2 |
1137.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1137.1 |
\( 3 \cdot 379 \) |
\( 3^{5} \cdot 379 \) |
$0.89875$ |
$(-2a+1), (22a-15)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1$ |
$5.222969636$ |
1.206193170 |
\( \frac{7118848}{10233} a + \frac{19468288}{10233} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 2 a\) , \( a\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+2a{x}+a$ |
1137.2-a2 |
1137.2-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1137.2 |
\( 3 \cdot 379 \) |
\( 3^{5} \cdot 379 \) |
$0.89875$ |
$(-2a+1), (22a-7)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1$ |
$5.222969636$ |
1.206193170 |
\( -\frac{7118848}{10233} a + \frac{26587136}{10233} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( -2 a + 2\) , \( -a + 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+\left(-2a+2\right){x}-a+1$ |
1308.1-a1 |
1308.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1308.1 |
\( 2^{2} \cdot 3 \cdot 109 \) |
\( 2^{2} \cdot 3^{5} \cdot 109 \) |
$0.93079$ |
$(-2a+1), (12a-5), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1$ |
$5.057222261$ |
1.167915453 |
\( \frac{9244621}{2943} a - \frac{10533583}{5886} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 2\) , \( -a + 1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+2{x}-a+1$ |
1308.2-a1 |
1308.2-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1308.2 |
\( 2^{2} \cdot 3 \cdot 109 \) |
\( 2^{2} \cdot 3^{5} \cdot 109 \) |
$0.93079$ |
$(-2a+1), (-12a+7), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1$ |
$5.057222261$ |
1.167915453 |
\( -\frac{9244621}{2943} a + \frac{7955659}{5886} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 2 a + 1\) , \( -1\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a+1\right){x}-1$ |
1444.2-a2 |
1444.2-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1444.2 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{10} \cdot 19^{2} \) |
$0.95409$ |
$(-5a+3), (-5a+2), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1$ |
$4.825279813$ |
1.114350639 |
\( -\frac{1}{608} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( 1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+1$ |
1708.1-a2 |
1708.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1708.1 |
\( 2^{2} \cdot 7 \cdot 61 \) |
\( 2^{4} \cdot 7^{5} \cdot 61 \) |
$0.99500$ |
$(-3a+1), (-9a+5), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$0.367036989$ |
$3.246221898$ |
1.100645321 |
\( \frac{4659834513}{2050454} a + \frac{16361372347}{4100908} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( a - 7\) , \( -3 a + 6\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a-7\right){x}-3a+6$ |
1708.4-a2 |
1708.4-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1708.4 |
\( 2^{2} \cdot 7 \cdot 61 \) |
\( 2^{4} \cdot 7^{5} \cdot 61 \) |
$0.99500$ |
$(3a-2), (-9a+4), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$0.367036989$ |
$3.246221898$ |
1.100645321 |
\( -\frac{4659834513}{2050454} a + \frac{25681041373}{4100908} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -a - 6\) , \( 3 a + 3\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a-6\right){x}+3a+3$ |
1756.1-b1 |
1756.1-b |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1756.1 |
\( 2^{2} \cdot 439 \) |
\( 2^{10} \cdot 439 \) |
$1.00191$ |
$(-23a+18), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1$ |
$4.627304252$ |
1.068630142 |
\( -\frac{15525725}{14048} a + \frac{8339679}{7024} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( -2 a - 1\) , \( -a\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a-1\right){x}-a$ |
1756.2-b1 |
1756.2-b |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1756.2 |
\( 2^{2} \cdot 439 \) |
\( 2^{10} \cdot 439 \) |
$1.00191$ |
$(23a-5), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1$ |
$4.627304252$ |
1.068630142 |
\( \frac{15525725}{14048} a + \frac{1153633}{14048} \) |
\( \bigl[1\) , \( -a\) , \( a + 1\) , \( a - 3\) , \( -1\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(a-3\right){x}-1$ |
1875.1-c2 |
1875.1-c |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{10} \cdot 5^{4} \) |
$1.01847$ |
$(-2a+1), (5)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2Cn, 5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$3.274603091$ |
1.512474380 |
\( \frac{20480}{243} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 2\) , \( 4\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+2{x}+4$ |
2284.1-a2 |
2284.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2284.1 |
\( 2^{2} \cdot 571 \) |
\( 2^{10} \cdot 571 \) |
$1.06997$ |
$(26a-21), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$0.652782584$ |
$4.363388824$ |
1.315593847 |
\( \frac{37203475}{18272} a + \frac{44512179}{18272} \) |
\( \bigl[1\) , \( -a\) , \( a + 1\) , \( 2\) , \( -1\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+2{x}-1$ |
2284.2-a2 |
2284.2-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2284.2 |
\( 2^{2} \cdot 571 \) |
\( 2^{10} \cdot 571 \) |
$1.06997$ |
$(26a-5), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$0.652782584$ |
$4.363388824$ |
1.315593847 |
\( -\frac{37203475}{18272} a + \frac{40857827}{9136} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( -a + 3\) , \( -a\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+3\right){x}-a$ |
2500.1-a2 |
2500.1-a |
$4$ |
$15$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2500.1 |
\( 2^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 5^{4} \) |
$1.09442$ |
$(2), (5)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3, 5$ |
3B[2], 5B.1.1 |
$1$ |
\( 5 \) |
$1$ |
$4.272500240$ |
0.986691665 |
\( -\frac{121945}{32} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -3\) , \( 1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-3{x}+1$ |
2500.1-a4 |
2500.1-a |
$4$ |
$15$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2500.1 |
\( 2^{2} \cdot 5^{4} \) |
\( 2^{30} \cdot 5^{4} \) |
$1.09442$ |
$(2), (5)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3, 5$ |
3B[2], 5B.1.1 |
$1$ |
\( 3 \cdot 5 \) |
$1$ |
$1.424166746$ |
0.986691665 |
\( \frac{46969655}{32768} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 22\) , \( -9\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+22{x}-9$ |
2748.1-b1 |
2748.1-b |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2748.1 |
\( 2^{2} \cdot 3 \cdot 229 \) |
\( 2^{2} \cdot 3^{10} \cdot 229 \) |
$1.12061$ |
$(-2a+1), (-17a+5), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$3.027631539$ |
1.398403107 |
\( \frac{247340525}{111294} a - \frac{220827617}{111294} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -5 a + 4\) , \( 3 a - 9\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a+4\right){x}+3a-9$ |
2748.2-b1 |
2748.2-b |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2748.2 |
\( 2^{2} \cdot 3 \cdot 229 \) |
\( 2^{2} \cdot 3^{10} \cdot 229 \) |
$1.12061$ |
$(-2a+1), (17a-12), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$3.027631539$ |
1.398403107 |
\( -\frac{247340525}{111294} a + \frac{4418818}{18549} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 7 a - 2\) , \( 3 a - 8\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(7a-2\right){x}+3a-8$ |
3364.1-b2 |
3364.1-b |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3364.1 |
\( 2^{2} \cdot 29^{2} \) |
\( 2^{20} \cdot 29^{2} \) |
$1.17873$ |
$(2), (29)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$0.650453053$ |
$2.497049844$ |
1.500384344 |
\( \frac{13651919}{29696} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 5\) , \( 9\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+5{x}+9$ |
3892.2-a2 |
3892.2-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3892.2 |
\( 2^{2} \cdot 7 \cdot 139 \) |
\( 2^{2} \cdot 7^{5} \cdot 139 \) |
$1.22248$ |
$(-3a+1), (13a-3), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1$ |
$3.661259792$ |
0.845531730 |
\( \frac{94431538}{2336173} a - \frac{555806519}{4672346} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -a + 1\) , \( 3 a\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+1\right){x}+3a$ |
3892.3-a2 |
3892.3-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3892.3 |
\( 2^{2} \cdot 7 \cdot 139 \) |
\( 2^{2} \cdot 7^{5} \cdot 139 \) |
$1.22248$ |
$(3a-2), (13a-10), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1$ |
$3.661259792$ |
0.845531730 |
\( -\frac{94431538}{2336173} a - \frac{366943443}{4672346} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( a\) , \( -3 a + 3\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+a{x}-3a+3$ |
4188.1-a1 |
4188.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
4188.1 |
\( 2^{2} \cdot 3 \cdot 349 \) |
\( 2^{2} \cdot 3^{15} \cdot 349 \) |
$1.24509$ |
$(-2a+1), (-20a+3), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 3 \cdot 5 \) |
$1$ |
$1.847447560$ |
1.279949215 |
\( \frac{6463675267}{2289789} a - \frac{4978315057}{4579578} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -5 a - 11\) , \( 27 a + 6\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a-11\right){x}+27a+6$ |
4188.2-a1 |
4188.2-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
4188.2 |
\( 2^{2} \cdot 3 \cdot 349 \) |
\( 2^{2} \cdot 3^{15} \cdot 349 \) |
$1.24509$ |
$(-2a+1), (-20a+17), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 3 \cdot 5 \) |
$1$ |
$1.847447560$ |
1.279949215 |
\( -\frac{6463675267}{2289789} a + \frac{7949035477}{4579578} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 7 a - 17\) , \( -21 a + 16\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(7a-17\right){x}-21a+16$ |
4417.1-b1 |
4417.1-b |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
4417.1 |
\( 7 \cdot 631 \) |
\( 7^{5} \cdot 631 \) |
$1.26177$ |
$(-3a+1), (-29a+15)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$0.964260704$ |
$3.566707188$ |
1.588514872 |
\( \frac{5426200576}{10605217} a - \frac{6991310848}{10605217} \) |
\( \bigl[0\) , \( a\) , \( 1\) , \( -a - 2\) , \( -4 a\bigr] \) |
${y}^2+{y}={x}^{3}+a{x}^{2}+\left(-a-2\right){x}-4a$ |
4417.4-a1 |
4417.4-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
4417.4 |
\( 7 \cdot 631 \) |
\( 7^{5} \cdot 631 \) |
$1.26177$ |
$(3a-2), (-29a+14)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$0.964260704$ |
$3.566707188$ |
1.588514872 |
\( -\frac{5426200576}{10605217} a - \frac{1565110272}{10605217} \) |
\( \bigl[0\) , \( -a + 1\) , \( 1\) , \( a - 3\) , \( 4 a - 4\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(a-3\right){x}+4a-4$ |
4908.1-a2 |
4908.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
4908.1 |
\( 2^{2} \cdot 3 \cdot 409 \) |
\( 2^{4} \cdot 3^{15} \cdot 409 \) |
$1.29546$ |
$(-2a+1), (-23a+8), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 3 \cdot 5 \) |
$1$ |
$1.347795032$ |
1.867559579 |
\( \frac{725494966063}{10733796} a - \frac{307358734001}{10733796} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 63 a - 27\) , \( -81 a - 91\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(63a-27\right){x}-81a-91$ |
4908.2-a2 |
4908.2-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
4908.2 |
\( 2^{2} \cdot 3 \cdot 409 \) |
\( 2^{4} \cdot 3^{15} \cdot 409 \) |
$1.29546$ |
$(-2a+1), (-23a+15), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 3 \cdot 5 \) |
$1$ |
$1.347795032$ |
1.867559579 |
\( -\frac{725494966063}{10733796} a + \frac{209068116031}{5366898} \) |
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -63 a + 37\) , \( 143 a - 208\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-63a+37\right){x}+143a-208$ |
5043.1-b1 |
5043.1-b |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
5043.1 |
\( 3 \cdot 41^{2} \) |
\( 3^{10} \cdot 41^{2} \) |
$1.30428$ |
$(-2a+1), (41)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$0.840521417$ |
$2.647157633$ |
2.055360202 |
\( -\frac{122023936}{9963} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( -10\) , \( 10\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}-10{x}+10$ |
5908.1-a1 |
5908.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
5908.1 |
\( 2^{2} \cdot 7 \cdot 211 \) |
\( 2^{2} \cdot 7^{5} \cdot 211 \) |
$1.35694$ |
$(-3a+1), (-15a+1), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1.044511954$ |
$3.352086445$ |
1.617178595 |
\( -\frac{12091364394}{3546277} a + \frac{22867453451}{7092554} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( a + 4\) , \( -3 a + 1\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a+4\right){x}-3a+1$ |
5908.4-a1 |
5908.4-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
5908.4 |
\( 2^{2} \cdot 7 \cdot 211 \) |
\( 2^{2} \cdot 7^{5} \cdot 211 \) |
$1.35694$ |
$(3a-2), (15a-14), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1.044511954$ |
$3.352086445$ |
1.617178595 |
\( \frac{12091364394}{3546277} a - \frac{1315275337}{7092554} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( -a + 5\) , \( 3 a - 2\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(-a+5\right){x}+3a-2$ |
6004.2-a1 |
6004.2-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
6004.2 |
\( 2^{2} \cdot 19 \cdot 79 \) |
\( 2^{4} \cdot 19^{5} \cdot 79 \) |
$1.36241$ |
$(-5a+3), (10a-3), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$2.162759644$ |
0.998935890 |
\( \frac{1381687771575}{782447284} a - \frac{1603102527011}{782447284} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -2 a + 10\) , \( 15 a - 8\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-2a+10\right){x}+15a-8$ |
6004.3-a1 |
6004.3-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
6004.3 |
\( 2^{2} \cdot 19 \cdot 79 \) |
\( 2^{4} \cdot 19^{5} \cdot 79 \) |
$1.36241$ |
$(-5a+2), (10a-7), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$2.162759644$ |
0.998935890 |
\( -\frac{1381687771575}{782447284} a - \frac{55353688859}{195611821} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( 2 a + 8\) , \( -15 a + 7\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a+8\right){x}-15a+7$ |
6196.1-b1 |
6196.1-b |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
6196.1 |
\( 2^{2} \cdot 1549 \) |
\( 2^{20} \cdot 1549 \) |
$1.37318$ |
$(45a-17), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$2.215162092$ |
1.023139544 |
\( \frac{3405160673}{1586176} a - \frac{7676439885}{1586176} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( -12\) , \( 3 a - 18\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}-12{x}+3a-18$ |
6196.2-b1 |
6196.2-b |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
6196.2 |
\( 2^{2} \cdot 1549 \) |
\( 2^{20} \cdot 1549 \) |
$1.37318$ |
$(-45a+28), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$2.215162092$ |
1.023139544 |
\( -\frac{3405160673}{1586176} a - \frac{1067819803}{396544} \) |
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -a - 12\) , \( -4 a - 15\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a-12\right){x}-4a-15$ |
6916.3-a1 |
6916.3-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
6916.3 |
\( 2^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 7^{5} \cdot 13^{5} \cdot 19 \) |
$1.41144$ |
$(-3a+1), (4a-3), (-5a+3), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5^{2} \) |
$0.277193110$ |
$1.305307474$ |
1.671185336 |
\( -\frac{372465313425977}{474264430276} a + \frac{305599863776465}{474264430276} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( 24 a - 15\) , \( -16 a - 39\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(24a-15\right){x}-16a-39$ |
6916.6-a1 |
6916.6-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
6916.6 |
\( 2^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 7^{5} \cdot 13^{5} \cdot 19 \) |
$1.41144$ |
$(3a-2), (-4a+1), (-5a+2), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5^{2} \) |
$0.277193110$ |
$1.305307474$ |
1.671185336 |
\( \frac{372465313425977}{474264430276} a - \frac{16716362412378}{118566107569} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( -24 a + 9\) , \( 16 a - 55\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-24a+9\right){x}+16a-55$ |
8113.1-a2 |
8113.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
8113.1 |
\( 7 \cdot 19 \cdot 61 \) |
\( 7^{5} \cdot 19 \cdot 61 \) |
$1.46891$ |
$(-3a+1), (-5a+3), (-9a+5)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1.423203187$ |
$3.122019099$ |
2.052257365 |
\( \frac{165925339136}{19479313} a - \frac{21827211264}{19479313} \) |
\( \bigl[0\) , \( a\) , \( 1\) , \( 7 a\) , \( 2 a - 9\bigr] \) |
${y}^2+{y}={x}^{3}+a{x}^{2}+7a{x}+2a-9$ |
8113.8-a2 |
8113.8-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
8113.8 |
\( 7 \cdot 19 \cdot 61 \) |
\( 7^{5} \cdot 19 \cdot 61 \) |
$1.46891$ |
$(3a-2), (-5a+2), (-9a+4)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5 \) |
$1.423203187$ |
$3.122019099$ |
2.052257365 |
\( -\frac{165925339136}{19479313} a + \frac{144098127872}{19479313} \) |
\( \bigl[0\) , \( -a + 1\) , \( 1\) , \( -7 a + 7\) , \( -2 a - 7\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7a+7\right){x}-2a-7$ |
9516.1-c1 |
9516.1-c |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9516.1 |
\( 2^{2} \cdot 3 \cdot 13 \cdot 61 \) |
\( 2^{6} \cdot 3^{5} \cdot 13^{5} \cdot 61 \) |
$1.52867$ |
$(-2a+1), (-4a+1), (-9a+5), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5^{2} \) |
$1$ |
$1.507556705$ |
1.740776539 |
\( -\frac{1401873442975}{2446078284} a + \frac{1985497068127}{4892156568} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 15 a\) , \( -19 a + 36\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+15a{x}-19a+36$ |
9516.4-c1 |
9516.4-c |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9516.4 |
\( 2^{2} \cdot 3 \cdot 13 \cdot 61 \) |
\( 2^{6} \cdot 3^{5} \cdot 13^{5} \cdot 61 \) |
$1.52867$ |
$(-2a+1), (4a-3), (-9a+4), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5^{2} \) |
$1$ |
$1.507556705$ |
1.740776539 |
\( \frac{1401873442975}{2446078284} a - \frac{818249817823}{4892156568} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -13 a + 14\) , \( 33 a + 3\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-13a+14\right){x}+33a+3$ |
9772.1-c1 |
9772.1-c |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9772.1 |
\( 2^{2} \cdot 7 \cdot 349 \) |
\( 2^{2} \cdot 7^{10} \cdot 349 \) |
$1.53885$ |
$(-3a+1), (-20a+3), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$1.431194357$ |
0.661040358 |
\( -\frac{249410353687125}{197167723802} a + \frac{815903737463489}{197167723802} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -11 a - 21\) , \( 29 a + 23\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-11a-21\right){x}+29a+23$ |
9772.4-c1 |
9772.4-c |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9772.4 |
\( 2^{2} \cdot 7 \cdot 349 \) |
\( 2^{2} \cdot 7^{10} \cdot 349 \) |
$1.53885$ |
$(3a-2), (-20a+17), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$1.431194357$ |
0.661040358 |
\( \frac{249410353687125}{197167723802} a + \frac{283246691888182}{98583861901} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( 11 a - 32\) , \( -29 a + 52\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(11a-32\right){x}-29a+52$ |
10308.1-b1 |
10308.1-b |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10308.1 |
\( 2^{2} \cdot 3 \cdot 859 \) |
\( 2^{10} \cdot 3^{5} \cdot 859 \) |
$1.55953$ |
$(-2a+1), (-33a+10), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5^{2} \) |
$0.429486399$ |
$2.770723481$ |
2.748159686 |
\( \frac{346618597}{742176} a - \frac{566063453}{742176} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( -2 a + 5\) , \( 8 a - 3\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-2a+5\right){x}+8a-3$ |
*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.