| 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 |
| 19.1-a1 |
19.1-a |
$2$ |
$11$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
19.1 |
\( 19 \) |
\( 7^{12} \cdot 19 \) |
$1.89341$ |
$(19,a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$11$ |
11B.3.1 |
$1$ |
\( 1 \) |
$0.435055766$ |
$9.974797613$ |
1.710371302 |
\( \frac{23561}{19} a - \frac{41614}{19} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( a - 11\) , \( -15 a + 115\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^3-{x}^2+\left(a-11\right){x}-15a+115$ |
| 19.1-a2 |
19.1-a |
$2$ |
$11$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
19.1 |
\( 19 \) |
\( 7^{12} \cdot 19^{11} \) |
$1.89341$ |
$(19,a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$11$ |
11B.3.1 |
$1$ |
\( 1 \) |
$4.785613430$ |
$0.906799783$ |
1.710371302 |
\( \frac{35944352441652689}{116490258898219} a + \frac{164688447828986882}{116490258898219} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( -509 a - 1151\) , \( 10212 a - 24056\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^3-{x}^2+\left(-509a-1151\right){x}+10212a-24056$ |
| 19.2-a1 |
19.2-a |
$2$ |
$11$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
19.2 |
\( 19 \) |
\( 7^{12} \cdot 19 \) |
$1.89341$ |
$(19,a+15)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$11$ |
11B.3.1 |
$1$ |
\( 1 \) |
$0.435055766$ |
$9.974797613$ |
1.710371302 |
\( -\frac{23561}{19} a - \frac{18053}{19} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -2 a - 10\) , \( 15 a + 100\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^3+\left(-a-1\right){x}^2+\left(-2a-10\right){x}+15a+100$ |
| 19.2-a2 |
19.2-a |
$2$ |
$11$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
19.2 |
\( 19 \) |
\( 7^{12} \cdot 19^{11} \) |
$1.89341$ |
$(19,a+15)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$11$ |
11B.3.1 |
$1$ |
\( 1 \) |
$4.785613430$ |
$0.906799783$ |
1.710371302 |
\( -\frac{35944352441652689}{116490258898219} a + \frac{200632800270639571}{116490258898219} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 508 a - 1660\) , \( -10212 a - 13844\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^3+\left(-a-1\right){x}^2+\left(508a-1660\right){x}-10212a-13844$ |
| 26.2-a1 |
26.2-a |
$2$ |
$11$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
26.2 |
\( 2 \cdot 13 \) |
\( 2^{34} \cdot 13^{11} \) |
$2.04786$ |
$(2,a), (13,a+12)$ |
$0 \le r \le 1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$11$ |
11B.3.1 |
|
\( 2 \) |
$1$ |
$0.285374511$ |
2.854956611 |
\( -\frac{132616454422760739622487}{7516865509350965248} a - \frac{9737343035003151642119}{578220423796228096} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 572 a - 4683\) , \( 20808 a - 94994\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+\left(572a-4683\right){x}+20808a-94994$ |
| 26.2-a2 |
26.2-a |
$2$ |
$11$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
26.2 |
\( 2 \cdot 13 \) |
\( 2^{14} \cdot 13 \) |
$2.04786$ |
$(2,a), (13,a+12)$ |
$0 \le r \le 1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$11$ |
11B.3.1 |
|
\( 2 \) |
$1$ |
$3.139119623$ |
2.854956611 |
\( -\frac{513533219}{52} a + \frac{2457468601}{4} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -13 a + 147\) , \( 135 a + 28\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+\left(-13a+147\right){x}+135a+28$ |
| 26.3-a1 |
26.3-a |
$2$ |
$11$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
26.3 |
\( 2 \cdot 13 \) |
\( 2^{34} \cdot 13^{11} \) |
$2.04786$ |
$(2,a+1), (13,a)$ |
$0 \le r \le 1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$11$ |
11B.3.1 |
|
\( 2 \) |
$1$ |
$0.285374511$ |
2.854956611 |
\( \frac{132616454422760739622487}{7516865509350965248} a - \frac{129600956938900855485017}{3758432754675482624} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -572 a - 4111\) , \( -20808 a - 74186\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^3+\left(-a-1\right){x}^2+\left(-572a-4111\right){x}-20808a-74186$ |
| 26.3-a2 |
26.3-a |
$2$ |
$11$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
26.3 |
\( 2 \cdot 13 \) |
\( 2^{14} \cdot 13 \) |
$2.04786$ |
$(2,a+1), (13,a)$ |
$0 \le r \le 1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$11$ |
11B.3.1 |
|
\( 2 \) |
$1$ |
$3.139119623$ |
2.854956611 |
\( \frac{513533219}{52} a + \frac{15716779297}{26} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 13 a + 134\) , \( -135 a + 163\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^3+\left(-a-1\right){x}^2+\left(13a+134\right){x}-135a+163$ |
| 52.2-a1 |
52.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
52.2 |
\( 2^{2} \cdot 13 \) |
\( 2^{8} \cdot 7^{12} \cdot 13 \) |
$2.43533$ |
$(2,a), (13,a+12)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 3 \) |
$1$ |
$7.114984849$ |
4.206361731 |
\( \frac{51}{13} a - 50 \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -2 a\) , \( 17 a + 58\bigr] \) |
${y}^2+a{x}{y}={x}^3+a{x}^2-2a{x}+17a+58$ |
| 52.3-a1 |
52.3-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
52.3 |
\( 2^{2} \cdot 13 \) |
\( 2^{26} \cdot 13 \) |
$2.43533$ |
$(2,a), (2,a+1), (13,a)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2^{2} \) |
$0.446952340$ |
$2.476031734$ |
1.744692093 |
\( -\frac{112377899}{851968} a + \frac{555143521}{851968} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( -13\) , \( -3 a + 13\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^3+\left(a+1\right){x}^2-13{x}-3a+13$ |
| 52.4-a1 |
52.4-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
52.4 |
\( 2^{2} \cdot 13 \) |
\( 2^{26} \cdot 13 \) |
$2.43533$ |
$(2,a), (2,a+1), (13,a+12)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2^{2} \) |
$0.446952340$ |
$2.476031734$ |
1.744692093 |
\( \frac{112377899}{851968} a + \frac{17029447}{32768} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( a - 14\) , \( 2 a + 24\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^3+\left(-a-1\right){x}^2+\left(a-14\right){x}+2a+24$ |
| 52.5-a1 |
52.5-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
52.5 |
\( 2^{2} \cdot 13 \) |
\( 2^{8} \cdot 7^{12} \cdot 13 \) |
$2.43533$ |
$(2,a+1), (13,a)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 3 \) |
$1$ |
$7.114984849$ |
4.206361731 |
\( -\frac{51}{13} a - \frac{599}{13} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -8 a - 15\) , \( -16 a + 166\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^3+\left(a+1\right){x}^2+\left(-8a-15\right){x}-16a+166$ |
| 56.3-a1 |
56.3-a |
$2$ |
$3$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
56.3 |
\( 2^{3} \cdot 7 \) |
\( 2^{11} \cdot 7^{13} \) |
$2.48087$ |
$(2,a), (2,a+1), (7,a+1)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$4.080426143$ |
$5.901815960$ |
3.163816657 |
\( -\frac{654247}{896} a + \frac{62985}{448} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -a - 56\) , \( 16 a - 152\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+\left(-a+1\right){x}^2+\left(-a-56\right){x}+16a-152$ |
| 56.3-a2 |
56.3-a |
$2$ |
$3$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
56.3 |
\( 2^{3} \cdot 7 \) |
\( 2^{25} \cdot 7^{15} \) |
$2.48087$ |
$(2,a), (2,a+1), (7,a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$1.360142047$ |
$1.967271986$ |
3.163816657 |
\( \frac{147393421345}{719323136} a + \frac{600393076561}{359661568} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 4 a + 634\) , \( -878 a + 1328\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+\left(-a+1\right){x}^2+\left(4a+634\right){x}-878a+1328$ |
| 56.6-a1 |
56.6-a |
$2$ |
$3$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
56.6 |
\( 2^{3} \cdot 7 \) |
\( 2^{11} \cdot 7^{13} \) |
$2.48087$ |
$(2,a), (2,a+1), (7,a+5)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$4.080426143$ |
$5.901815960$ |
3.163816657 |
\( \frac{654247}{896} a - \frac{528277}{896} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -a - 57\) , \( -17 a - 136\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+\left(-a-57\right){x}-17a-136$ |
| 56.6-a2 |
56.6-a |
$2$ |
$3$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
56.6 |
\( 2^{3} \cdot 7 \) |
\( 2^{25} \cdot 7^{15} \) |
$2.48087$ |
$(2,a), (2,a+1), (7,a+5)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$1.360142047$ |
$1.967271986$ |
3.163816657 |
\( -\frac{147393421345}{719323136} a + \frac{1348179574467}{719323136} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -6 a + 638\) , \( 877 a + 450\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+\left(-6a+638\right){x}+877a+450$ |
| 68.3-a1 |
68.3-a |
$2$ |
$2$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
68.3 |
\( 2^{2} \cdot 17 \) |
\( 2^{9} \cdot 7^{12} \cdot 17^{2} \) |
$2.60426$ |
$(2,a), (2,a+1), (17,a+6)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$1.654367182$ |
5.216308550 |
\( \frac{2953159112151}{73984} a - \frac{17871347283993}{36992} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -949 a - 2959\) , \( -33906 a - 7245\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-{x}^2+\left(-949a-2959\right){x}-33906a-7245$ |
| 68.3-a2 |
68.3-a |
$2$ |
$2$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
68.3 |
\( 2^{2} \cdot 17 \) |
\( 2^{18} \cdot 7^{12} \cdot 17 \) |
$2.60426$ |
$(2,a), (2,a+1), (17,a+6)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$3.308734365$ |
5.216308550 |
\( \frac{4829955237}{1114112} a + \frac{1771442325}{557056} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -59 a - 189\) , \( -518 a - 17\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-{x}^2+\left(-59a-189\right){x}-518a-17$ |
| 68.4-a1 |
68.4-a |
$2$ |
$2$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
68.4 |
\( 2^{2} \cdot 17 \) |
\( 2^{9} \cdot 7^{12} \cdot 17^{2} \) |
$2.60426$ |
$(2,a), (2,a+1), (17,a+10)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$1.654367182$ |
5.216308550 |
\( -\frac{2953159112151}{73984} a - \frac{32789535455835}{73984} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 949 a - 3908\) , \( 33906 a - 41151\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-{x}^2+\left(949a-3908\right){x}+33906a-41151$ |
| 68.4-a2 |
68.4-a |
$2$ |
$2$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
68.4 |
\( 2^{2} \cdot 17 \) |
\( 2^{18} \cdot 7^{12} \cdot 17 \) |
$2.60426$ |
$(2,a), (2,a+1), (17,a+10)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$3.308734365$ |
5.216308550 |
\( -\frac{4829955237}{1114112} a + \frac{8372839887}{1114112} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 59 a - 248\) , \( 518 a - 535\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-{x}^2+\left(59a-248\right){x}+518a-535$ |
| 72.2-a1 |
72.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
72.2 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{36} \cdot 3^{10} \) |
$2.64174$ |
$(2,a), (2,a+1), (3)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$0.625232069$ |
$1.376240722$ |
4.069661380 |
\( -\frac{1297412507}{15925248} a + \frac{10613575253}{7962624} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -9 a + 75\) , \( 36 a - 144\bigr] \) |
${y}^2={x}^3+a{x}^2+\left(-9a+75\right){x}+36a-144$ |
| 72.3-a1 |
72.3-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
72.3 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{36} \cdot 3^{10} \) |
$2.64174$ |
$(2,a), (2,a+1), (3)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$0.625232069$ |
$1.376240722$ |
4.069661380 |
\( \frac{1297412507}{15925248} a + \frac{19929737999}{15925248} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 9 a + 66\) , \( -36 a - 108\bigr] \) |
${y}^2={x}^3+\left(-a+1\right){x}^2+\left(9a+66\right){x}-36a-108$ |
| 98.1-a1 |
98.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{41} \cdot 7^{9} \) |
$2.85341$ |
$(2,a), (7,a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$0.561125099$ |
0.221157195 |
\( -\frac{140299056943}{536870912} a + \frac{3247586485549}{536870912} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -137 a + 526\) , \( 365 a - 6438\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+a{x}^2+\left(-137a+526\right){x}+365a-6438$ |
| 98.1-b1 |
98.1-b |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2 \cdot 7^{22} \) |
$2.85341$ |
$(2,a), (7,a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$4$ |
\( 1 \) |
$1$ |
$2.501729876$ |
1.972022155 |
\( -\frac{697}{2} a + \frac{3979}{2} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -a - 416\) , \( -479 a + 3188\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^3+a{x}^2+\left(-a-416\right){x}-479a+3188$ |
| 98.2-a1 |
98.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{21} \cdot 7^{3} \) |
$2.85341$ |
$(2,a), (7,a+1), (7,a+5)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$5.047563468$ |
1.989404827 |
\( \frac{960121}{25088} a - \frac{8708811}{25088} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -9 a - 1\) , \( -a + 55\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+\left(a-1\right){x}^2+\left(-9a-1\right){x}-a+55$ |
| 98.2-a2 |
98.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{13} \cdot 7^{19} \) |
$2.85341$ |
$(2,a), (7,a+1), (7,a+5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$0.560840385$ |
1.989404827 |
\( -\frac{1217655591713233991}{3256827195820898} a + \frac{17918841179315121525}{3256827195820898} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -159 a + 289\) , \( -181 a + 8467\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+\left(a-1\right){x}^2+\left(-159a+289\right){x}-181a+8467$ |
| 98.2-a3 |
98.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{15} \cdot 7^{9} \) |
$2.85341$ |
$(2,a), (7,a+1), (7,a+5)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3^{3} \) |
$1$ |
$1.682521156$ |
1.989404827 |
\( \frac{122741892065}{941192} a + \frac{753476357629}{941192} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -49 a + 119\) , \( 175 a - 921\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+\left(a-1\right){x}^2+\left(-49a+119\right){x}+175a-921$ |
| 98.5-a1 |
98.5-a |
$3$ |
$9$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
98.5 |
\( 2 \cdot 7^{2} \) |
\( 2^{21} \cdot 7^{3} \) |
$2.85341$ |
$(2,a+1), (7,a+1), (7,a+5)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$5.047563468$ |
1.989404827 |
\( -\frac{960121}{25088} a - \frac{3874345}{12544} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( -4 a - 8\) , \( 16\bigr] \) |
${y}^2+a{x}{y}={x}^3+\left(a+1\right){x}^2+\left(-4a-8\right){x}+16$ |
| 98.5-a2 |
98.5-a |
$3$ |
$9$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
98.5 |
\( 2 \cdot 7^{2} \) |
\( 2^{13} \cdot 7^{19} \) |
$2.85341$ |
$(2,a+1), (7,a+1), (7,a+5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$0.560840385$ |
1.989404827 |
\( \frac{1217655591713233991}{3256827195820898} a + \frac{8350592793800943767}{1628413597910449} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( 146 a + 132\) , \( 470 a + 4348\bigr] \) |
${y}^2+a{x}{y}={x}^3+\left(a+1\right){x}^2+\left(146a+132\right){x}+470a+4348$ |
| 98.5-a3 |
98.5-a |
$3$ |
$9$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
98.5 |
\( 2 \cdot 7^{2} \) |
\( 2^{15} \cdot 7^{9} \) |
$2.85341$ |
$(2,a+1), (7,a+1), (7,a+5)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3^{3} \) |
$1$ |
$1.682521156$ |
1.989404827 |
\( -\frac{122741892065}{941192} a + \frac{438109124847}{470596} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( 36 a + 72\) , \( -56 a - 1824\bigr] \) |
${y}^2+a{x}{y}={x}^3+\left(a+1\right){x}^2+\left(36a+72\right){x}-56a-1824$ |
| 98.6-a1 |
98.6-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
98.6 |
\( 2 \cdot 7^{2} \) |
\( 2^{41} \cdot 7^{9} \) |
$2.85341$ |
$(2,a+1), (7,a+5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$0.561125099$ |
0.221157195 |
\( \frac{140299056943}{536870912} a + \frac{1553643714303}{268435456} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 123 a + 416\) , \( 37 a - 9855\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+\left(a-1\right){x}^2+\left(123a+416\right){x}+37a-9855$ |
| 98.6-b1 |
98.6-b |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
98.6 |
\( 2 \cdot 7^{2} \) |
\( 2 \cdot 7^{22} \) |
$2.85341$ |
$(2,a+1), (7,a+5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$4$ |
\( 1 \) |
$1$ |
$2.501729876$ |
1.972022155 |
\( \frac{697}{2} a + 1641 \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( -12 a - 391\) , \( 88 a + 3230\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^3+\left(a-1\right){x}^2+\left(-12a-391\right){x}+88a+3230$ |
| 104.1-a1 |
104.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
104.1 |
\( 2^{3} \cdot 13 \) |
\( 2^{11} \cdot 13 \) |
$2.89611$ |
$(2,a), (13,a)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 1 \) |
$1$ |
$4.199494519$ |
0.827576980 |
\( \frac{166574}{13} a + \frac{3154614}{13} \) |
\( \bigl[0\) , \( 1\) , \( a\) , \( -a + 6\) , \( 15\bigr] \) |
${y}^2+a{y}={x}^3+{x}^2+\left(-a+6\right){x}+15$ |
| 104.3-a1 |
104.3-a |
$2$ |
$2$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
104.3 |
\( 2^{3} \cdot 13 \) |
\( 2^{8} \cdot 7^{12} \cdot 13 \) |
$2.89611$ |
$(2,a), (2,a+1), (13,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$7.089687542$ |
2.095703012 |
\( -\frac{6711}{208} a + \frac{3193}{104} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -4 a + 36\) , \( 3 a + 71\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+\left(-4a+36\right){x}+3a+71$ |
| 104.3-a2 |
104.3-a |
$2$ |
$2$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
104.3 |
\( 2^{3} \cdot 13 \) |
\( 2^{10} \cdot 7^{12} \cdot 13^{2} \) |
$2.89611$ |
$(2,a), (2,a+1), (13,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$3.544843771$ |
2.095703012 |
\( \frac{36618747}{676} a + \frac{31575403}{338} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -89 a + 311\) , \( 222 a + 3882\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+\left(-89a+311\right){x}+222a+3882$ |
| 104.6-a1 |
104.6-a |
$2$ |
$2$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
104.6 |
\( 2^{3} \cdot 13 \) |
\( 2^{8} \cdot 7^{12} \cdot 13 \) |
$2.89611$ |
$(2,a), (2,a+1), (13,a+12)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$7.089687542$ |
2.095703012 |
\( \frac{6711}{208} a - \frac{25}{16} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 4 a + 32\) , \( -3 a + 74\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^3+\left(-a-1\right){x}^2+\left(4a+32\right){x}-3a+74$ |
| 104.6-a2 |
104.6-a |
$2$ |
$2$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
104.6 |
\( 2^{3} \cdot 13 \) |
\( 2^{10} \cdot 7^{12} \cdot 13^{2} \) |
$2.89611$ |
$(2,a), (2,a+1), (13,a+12)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$3.544843771$ |
2.095703012 |
\( -\frac{36618747}{676} a + \frac{7674581}{52} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 89 a + 222\) , \( -222 a + 4104\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^3+\left(-a-1\right){x}^2+\left(89a+222\right){x}-222a+4104$ |
| 104.8-a1 |
104.8-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
104.8 |
\( 2^{3} \cdot 13 \) |
\( 2^{11} \cdot 13 \) |
$2.89611$ |
$(2,a+1), (13,a+12)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 1 \) |
$1$ |
$4.199494519$ |
0.827576980 |
\( -\frac{166574}{13} a + 255476 \) |
\( \bigl[0\) , \( 1\) , \( a + 1\) , \( a + 5\) , \( -a + 15\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^3+{x}^2+\left(a+5\right){x}-a+15$ |
| 112.4-a1 |
112.4-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
112.4 |
\( 2^{4} \cdot 7 \) |
\( 2^{15} \cdot 7 \) |
$2.95027$ |
$(2,a), (2,a+1), (7,a+5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$4.733318357$ |
3.731101728 |
\( \frac{14143}{112} a - \frac{136481}{56} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 3 a + 3\) , \( -2 a + 6\bigr] \) |
${y}^2+a{x}{y}={x}^3+\left(-a+1\right){x}^2+\left(3a+3\right){x}-2a+6$ |
| 112.7-a1 |
112.7-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
112.7 |
\( 2^{4} \cdot 7 \) |
\( 2^{15} \cdot 7 \) |
$2.95027$ |
$(2,a), (2,a+1), (7,a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$4.733318357$ |
3.731101728 |
\( -\frac{14143}{112} a - \frac{258819}{112} \) |
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -3 a + 6\) , \( 2 a + 4\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^3+\left(-3a+6\right){x}+2a+4$ |
| 121.1-a1 |
121.1-a |
$3$ |
$25$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
121.1 |
\( 11^{2} \) |
\( 11^{2} \) |
$3.00783$ |
$(11)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5Cs.1.1 |
$1$ |
\( 1 \) |
$5.426315164$ |
$0.370308724$ |
1.583945860 |
\( -\frac{52893159101157376}{11} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( -7820\) , \( -263580\bigr] \) |
${y}^2+{y}={x}^3-{x}^2-7820{x}-263580$ |
| 121.1-a2 |
121.1-a |
$3$ |
$25$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
121.1 |
\( 11^{2} \) |
\( 11^{10} \) |
$3.00783$ |
$(11)$ |
$2$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5Cs.1.1 |
$1$ |
\( 5 \) |
$5.426315164$ |
$1.851543623$ |
1.583945860 |
\( -\frac{122023936}{161051} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( -10\) , \( -20\bigr] \) |
${y}^2+{y}={x}^3-{x}^2-10{x}-20$ |
| 121.1-a3 |
121.1-a |
$3$ |
$25$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
121.1 |
\( 11^{2} \) |
\( 11^{2} \) |
$3.00783$ |
$(11)$ |
$2$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5Cs.1.1 |
$1$ |
\( 1 \) |
$5.426315164$ |
$9.257718117$ |
1.583945860 |
\( -\frac{4096}{11} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( 0\) , \( 0\bigr] \) |
${y}^2+{y}={x}^3-{x}^2$ |
| 126.1-a1 |
126.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
126.1 |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{14} \cdot 7^{16} \) |
$3.03843$ |
$(2,a), (7,a+1), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2^{3} \cdot 7 \) |
$0.086027250$ |
$1.132993333$ |
2.151259513 |
\( -\frac{647788732375}{448084224} a + \frac{12984595307375}{1344252672} \) |
\( \bigl[1\) , \( a\) , \( 1\) , \( 423 a - 1963\) , \( -10688 a + 10974\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3+a{x}^2+\left(423a-1963\right){x}-10688a+10974$ |
| 126.1-b1 |
126.1-b |
$2$ |
$11$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
126.1 |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2^{22} \cdot 3^{2} \cdot 7^{34} \) |
$3.03843$ |
$(2,a), (7,a+1), (3)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$11$ |
11B.3.1 |
$1$ |
\( 2^{2} \) |
$21.69357487$ |
$0.082249468$ |
5.625946440 |
\( -\frac{37580768859197571490558370797}{49196934190067463317618688} a - \frac{400124051138516026899991638361}{49196934190067463317618688} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( 39882 a + 431241\) , \( 23572677 a - 93335001\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2+\left(39882a+431241\right){x}+23572677a-93335001$ |
| 126.1-b2 |
126.1-b |
$2$ |
$11$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
126.1 |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{22} \cdot 7^{14} \) |
$3.03843$ |
$(2,a), (7,a+1), (3)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$11$ |
11B.3.1 |
$1$ |
\( 2^{2} \cdot 11 \) |
$0.179285742$ |
$0.904744157$ |
5.625946440 |
\( -\frac{758063469497}{34720812} a + \frac{808611157903}{34720812} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( 792 a - 5694\) , \( -33831 a + 130698\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2+\left(792a-5694\right){x}-33831a+130698$ |
| 126.2-a1 |
126.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
126.2 |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2^{11} \cdot 3^{8} \cdot 7^{13} \) |
$3.03843$ |
$(2,a), (7,a+5), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2 \) |
$1.010315827$ |
$2.862461183$ |
2.279649808 |
\( -\frac{510638521}{1161216} a + \frac{1195347673}{387072} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -27 a - 298\) , \( 276 a + 1528\bigr] \) |
${y}^2+{x}{y}={x}^3+\left(-a-1\right){x}^2+\left(-27a-298\right){x}+276a+1528$ |
| 126.3-a1 |
126.3-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
126.3 |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2^{11} \cdot 3^{8} \cdot 7^{13} \) |
$3.03843$ |
$(2,a+1), (7,a+1), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2 \) |
$1.010315827$ |
$2.862461183$ |
2.279649808 |
\( \frac{510638521}{1161216} a + \frac{1537702249}{580608} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 29 a - 326\) , \( -248 a + 1478\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3+\left(a+1\right){x}^2+\left(29a-326\right){x}-248a+1478$ |
| 126.4-a1 |
126.4-a |
$1$ |
$1$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
126.4 |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{14} \cdot 7^{16} \) |
$3.03843$ |
$(2,a+1), (7,a+5), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2^{3} \cdot 7 \) |
$0.086027250$ |
$1.132993333$ |
2.151259513 |
\( \frac{647788732375}{448084224} a + \frac{5520614555125}{672126336} \) |
\( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -423 a - 1540\) , \( 10688 a + 286\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3+\left(-a+1\right){x}^2+\left(-423a-1540\right){x}+10688a+286$ |
| 126.4-b1 |
126.4-b |
$2$ |
$11$ |
\(\Q(\sqrt{-103}) \) |
$2$ |
$[0, 1]$ |
126.4 |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2^{22} \cdot 3^{2} \cdot 7^{34} \) |
$3.03843$ |
$(2,a+1), (7,a+5), (3)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$11$ |
11B.3.1 |
$1$ |
\( 2^{2} \) |
$21.69357487$ |
$0.082249468$ |
5.625946440 |
\( \frac{37580768859197571490558370797}{49196934190067463317618688} a - \frac{218852409998856799195275004579}{24598467095033731658809344} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -39882 a + 471123\) , \( -23572677 a - 69762324\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2+\left(-39882a+471123\right){x}-23572677a-69762324$ |
*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.
