| 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-a1 |
49.1-a |
$2$ |
$2$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( 7^{2} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1$ |
$4658.728355$ |
1.67217 |
\( \frac{1287545907}{7} a^{5} - \frac{1693566461}{7} a^{4} - \frac{6310424038}{7} a^{3} + \frac{5984983744}{7} a^{2} + \frac{6664599078}{7} a - \frac{1884723034}{7} \) |
\( \bigl[-a^{5} + 2 a^{4} + 4 a^{3} - 7 a^{2} - 3 a + 3\) , \( a^{5} - a^{4} - 5 a^{3} + 3 a^{2} + 5 a - 1\) , \( a^{4} - a^{3} - 3 a^{2} + 3 a + 2\) , \( 4 a^{5} - 8 a^{4} - 16 a^{3} + 32 a^{2} + 10 a - 24\) , \( -21 a^{5} + 37 a^{4} + 92 a^{3} - 148 a^{2} - 74 a + 90\bigr] \) |
${y}^2+\left(-a^{5}+2a^{4}+4a^{3}-7a^{2}-3a+3\right){x}{y}+\left(a^{4}-a^{3}-3a^{2}+3a+2\right){y}={x}^{3}+\left(a^{5}-a^{4}-5a^{3}+3a^{2}+5a-1\right){x}^{2}+\left(4a^{5}-8a^{4}-16a^{3}+32a^{2}+10a-24\right){x}-21a^{5}+37a^{4}+92a^{3}-148a^{2}-74a+90$ |
| 49.1-a2 |
49.1-a |
$2$ |
$2$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( - 7^{4} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$2329.364177$ |
1.67217 |
\( -\frac{44682954498275}{49} a^{5} + \frac{20731677864676}{49} a^{4} + \frac{214541279828608}{49} a^{3} - \frac{20858262562702}{49} a^{2} - \frac{124233907036096}{49} a + \frac{28389749219352}{49} \) |
\( \bigl[a^{2} + a - 1\) , \( 2 a^{5} - 3 a^{4} - 8 a^{3} + 10 a^{2} + 6 a - 3\) , \( -a^{5} + 2 a^{4} + 4 a^{3} - 7 a^{2} - 3 a + 4\) , \( -6 a^{5} + 2 a^{4} + 42 a^{3} + 5 a^{2} - 71 a - 40\) , \( 11 a^{5} + 11 a^{4} - 89 a^{3} - 91 a^{2} + 157 a + 153\bigr] \) |
${y}^2+\left(a^{2}+a-1\right){x}{y}+\left(-a^{5}+2a^{4}+4a^{3}-7a^{2}-3a+4\right){y}={x}^{3}+\left(2a^{5}-3a^{4}-8a^{3}+10a^{2}+6a-3\right){x}^{2}+\left(-6a^{5}+2a^{4}+42a^{3}+5a^{2}-71a-40\right){x}+11a^{5}+11a^{4}-89a^{3}-91a^{2}+157a+153$ |
| 49.1-b1 |
49.1-b |
$2$ |
$3$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( 7^{6} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B |
$1$ |
\( 1 \) |
$1$ |
$787.0481287$ |
1.12999 |
\( \frac{30176477175473918504}{49} a^{5} - \frac{370959595583589700360}{343} a^{4} - \frac{935402224099909297679}{343} a^{3} + \frac{1461778923930007873681}{343} a^{2} + \frac{778934793586578494395}{343} a - \frac{866228484050474713990}{343} \) |
\( \bigl[-a^{5} + 2 a^{4} + 4 a^{3} - 7 a^{2} - 2 a + 3\) , \( a^{5} - a^{4} - 5 a^{3} + 4 a^{2} + 4 a - 1\) , \( a^{5} - a^{4} - 5 a^{3} + 4 a^{2} + 6 a - 1\) , \( a^{5} - 4 a^{4} - 8 a^{3} + 14 a^{2} + 9 a - 10\) , \( 6 a^{5} - 4 a^{4} - 24 a^{3} + 17 a^{2} + 13 a - 14\bigr] \) |
${y}^2+\left(-a^{5}+2a^{4}+4a^{3}-7a^{2}-2a+3\right){x}{y}+\left(a^{5}-a^{4}-5a^{3}+4a^{2}+6a-1\right){y}={x}^{3}+\left(a^{5}-a^{4}-5a^{3}+4a^{2}+4a-1\right){x}^{2}+\left(a^{5}-4a^{4}-8a^{3}+14a^{2}+9a-10\right){x}+6a^{5}-4a^{4}-24a^{3}+17a^{2}+13a-14$ |
| 49.1-b2 |
49.1-b |
$2$ |
$3$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( 7^{2} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B |
$1$ |
\( 1 \) |
$1$ |
$787.0481287$ |
1.12999 |
\( -\frac{33421578235106}{7} a^{5} + \frac{44025168524177}{7} a^{4} + \frac{163743713309159}{7} a^{3} - \frac{155579519258196}{7} a^{2} - \frac{173062304078080}{7} a + \frac{48952686264565}{7} \) |
\( \bigl[a^{4} - 3 a^{2} - a + 1\) , \( -a^{5} + 2 a^{4} + 3 a^{3} - 7 a^{2} + a + 4\) , \( a^{5} - 5 a^{3} + 4 a\) , \( a^{5} - 5 a^{4} - 6 a^{3} + 16 a^{2} + 3 a - 5\) , \( -17 a^{5} - 12 a^{4} + 59 a^{3} + 37 a^{2} - 26 a - 15\bigr] \) |
${y}^2+\left(a^{4}-3a^{2}-a+1\right){x}{y}+\left(a^{5}-5a^{3}+4a\right){y}={x}^{3}+\left(-a^{5}+2a^{4}+3a^{3}-7a^{2}+a+4\right){x}^{2}+\left(a^{5}-5a^{4}-6a^{3}+16a^{2}+3a-5\right){x}-17a^{5}-12a^{4}+59a^{3}+37a^{2}-26a-15$ |
| 49.1-c1 |
49.1-c |
$2$ |
$2$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( 7^{10} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1$ |
$4621.469872$ |
1.65880 |
\( \frac{795540805}{16807} a^{5} - \frac{1001826365}{16807} a^{4} - \frac{4000609051}{16807} a^{3} + \frac{3577994149}{16807} a^{2} + \frac{4448111321}{16807} a - \frac{1220726677}{16807} \) |
\( \bigl[-a^{5} + 2 a^{4} + 5 a^{3} - 7 a^{2} - 6 a + 3\) , \( 3 a^{5} - 4 a^{4} - 13 a^{3} + 13 a^{2} + 11 a - 5\) , \( a^{5} - 5 a^{3} + 4 a + 1\) , \( 4 a^{5} - 7 a^{4} - 19 a^{3} + 24 a^{2} + 23 a - 7\) , \( 3 a^{5} - 3 a^{4} - 15 a^{3} + 11 a^{2} + 14 a - 5\bigr] \) |
${y}^2+\left(-a^{5}+2a^{4}+5a^{3}-7a^{2}-6a+3\right){x}{y}+\left(a^{5}-5a^{3}+4a+1\right){y}={x}^{3}+\left(3a^{5}-4a^{4}-13a^{3}+13a^{2}+11a-5\right){x}^{2}+\left(4a^{5}-7a^{4}-19a^{3}+24a^{2}+23a-7\right){x}+3a^{5}-3a^{4}-15a^{3}+11a^{2}+14a-5$ |
| 49.1-c2 |
49.1-c |
$2$ |
$2$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( - 7^{20} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$2310.734936$ |
1.65880 |
\( \frac{10036119836964947}{282475249} a^{5} - \frac{29399419342483055}{282475249} a^{4} - \frac{12822844127834407}{282475249} a^{3} + \frac{92208680747113198}{282475249} a^{2} - \frac{65621823291227116}{282475249} a + \frac{10801128327256298}{282475249} \) |
\( \bigl[-2 a^{5} + 3 a^{4} + 9 a^{3} - 10 a^{2} - 7 a + 3\) , \( -a^{5} + a^{4} + 5 a^{3} - 3 a^{2} - 5 a + 1\) , \( a^{4} - 4 a^{2} - a + 2\) , \( 13 a^{5} - 4 a^{4} - 57 a^{3} + 5 a^{2} + 28 a - 11\) , \( 23 a^{5} - 35 a^{4} - 114 a^{3} + 128 a^{2} + 130 a - 40\bigr] \) |
${y}^2+\left(-2a^{5}+3a^{4}+9a^{3}-10a^{2}-7a+3\right){x}{y}+\left(a^{4}-4a^{2}-a+2\right){y}={x}^{3}+\left(-a^{5}+a^{4}+5a^{3}-3a^{2}-5a+1\right){x}^{2}+\left(13a^{5}-4a^{4}-57a^{3}+5a^{2}+28a-11\right){x}+23a^{5}-35a^{4}-114a^{3}+128a^{2}+130a-40$ |
| 49.1-d1 |
49.1-d |
$1$ |
$1$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( 7^{2} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$0.008207757$ |
$36705.14889$ |
2.59523 |
\( -\frac{6613630491}{7} a^{5} + \frac{8709281037}{7} a^{4} + \frac{32409828699}{7} a^{3} - \frac{30787577825}{7} a^{2} - \frac{34253730020}{7} a + \frac{9688739659}{7} \) |
\( \bigl[a^{4} - a^{3} - 3 a^{2} + 3 a + 2\) , \( -2 a^{5} + 3 a^{4} + 8 a^{3} - 10 a^{2} - 5 a + 4\) , \( a^{5} - 5 a^{3} + 4 a\) , \( -13 a^{5} + 21 a^{4} + 55 a^{3} - 79 a^{2} - 41 a + 43\) , \( -20 a^{5} + 30 a^{4} + 84 a^{3} - 118 a^{2} - 64 a + 68\bigr] \) |
${y}^2+\left(a^{4}-a^{3}-3a^{2}+3a+2\right){x}{y}+\left(a^{5}-5a^{3}+4a\right){y}={x}^{3}+\left(-2a^{5}+3a^{4}+8a^{3}-10a^{2}-5a+4\right){x}^{2}+\left(-13a^{5}+21a^{4}+55a^{3}-79a^{2}-41a+43\right){x}-20a^{5}+30a^{4}+84a^{3}-118a^{2}-64a+68$ |
| 49.1-e1 |
49.1-e |
$4$ |
$15$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( 7^{6} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3, 5$ |
3B, 5B.1.1[2] |
$1$ |
\( 1 \) |
$1$ |
$25851.83438$ |
1.48465 |
\( \frac{10519949743062}{343} a^{5} + \frac{1296848109034}{343} a^{4} - \frac{39326262085697}{343} a^{3} + \frac{659101502840}{343} a^{2} + \frac{22439443726594}{343} a - \frac{4954576885729}{343} \) |
\( \bigl[a^{5} - a^{4} - 5 a^{3} + 4 a^{2} + 6 a - 1\) , \( -a^{4} + 3 a^{2} + 2 a\) , \( a^{3} - 3 a - 1\) , \( a^{5} - 2 a^{4} - 8 a^{3} + 8 a^{2} + 15 a + 2\) , \( 7 a^{5} - 19 a^{4} - 15 a^{3} + 62 a^{2} - 24 a - 2\bigr] \) |
${y}^2+\left(a^{5}-a^{4}-5a^{3}+4a^{2}+6a-1\right){x}{y}+\left(a^{3}-3a-1\right){y}={x}^{3}+\left(-a^{4}+3a^{2}+2a\right){x}^{2}+\left(a^{5}-2a^{4}-8a^{3}+8a^{2}+15a+2\right){x}+7a^{5}-19a^{4}-15a^{3}+62a^{2}-24a-2$ |
| 49.1-e2 |
49.1-e |
$4$ |
$15$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( 7^{2} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3, 5$ |
3B, 5B.1.1[2] |
$1$ |
\( 1 \) |
$1$ |
$25851.83438$ |
1.48465 |
\( -93453430 a^{5} + \frac{205748003}{7} a^{4} + \frac{2963501531}{7} a^{3} - \frac{238478155}{7} a^{2} - \frac{1710346227}{7} a + \frac{388114192}{7} \) |
\( \bigl[a^{5} - a^{4} - 5 a^{3} + 4 a^{2} + 5 a - 1\) , \( -a^{4} + a^{3} + 3 a^{2} - 3 a - 2\) , \( -a^{5} + a^{4} + 5 a^{3} - 3 a^{2} - 4 a\) , \( a^{5} - a^{4} - 5 a^{3} + 3 a^{2} + 4 a + 1\) , \( -5 a^{5} + 14 a^{4} + 8 a^{3} - 44 a^{2} + 28 a - 5\bigr] \) |
${y}^2+\left(a^{5}-a^{4}-5a^{3}+4a^{2}+5a-1\right){x}{y}+\left(-a^{5}+a^{4}+5a^{3}-3a^{2}-4a\right){y}={x}^{3}+\left(-a^{4}+a^{3}+3a^{2}-3a-2\right){x}^{2}+\left(a^{5}-a^{4}-5a^{3}+3a^{2}+4a+1\right){x}-5a^{5}+14a^{4}+8a^{3}-44a^{2}+28a-5$ |
| 49.1-e3 |
49.1-e |
$4$ |
$15$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( 7^{30} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3, 5$ |
3B, 5B.1.4[2] |
$625$ |
\( 1 \) |
$1$ |
$1.654517400$ |
1.48465 |
\( -\frac{5071828648518898928776706}{4747561509943} a^{5} + \frac{1594371267260221471874998}{4747561509943} a^{4} + \frac{22976097914409962241364493}{4747561509943} a^{3} - \frac{1845254644248882604992608}{4747561509943} a^{2} - \frac{13259741923351079752225853}{4747561509943} a + \frac{3007050597491418428537932}{4747561509943} \) |
\( \bigl[a^{4} - 4 a^{2} - a + 2\) , \( a^{4} - 4 a^{2} + 2\) , \( -2 a^{5} + 3 a^{4} + 9 a^{3} - 10 a^{2} - 7 a + 3\) , \( 1286 a^{5} - 1768 a^{4} - 6218 a^{3} + 6370 a^{2} + 6394 a - 2350\) , \( -41543 a^{5} + 53994 a^{4} + 204324 a^{3} - 189619 a^{2} - 217635 a + 56419\bigr] \) |
${y}^2+\left(a^{4}-4a^{2}-a+2\right){x}{y}+\left(-2a^{5}+3a^{4}+9a^{3}-10a^{2}-7a+3\right){y}={x}^{3}+\left(a^{4}-4a^{2}+2\right){x}^{2}+\left(1286a^{5}-1768a^{4}-6218a^{3}+6370a^{2}+6394a-2350\right){x}-41543a^{5}+53994a^{4}+204324a^{3}-189619a^{2}-217635a+56419$ |
| 49.1-e4 |
49.1-e |
$4$ |
$15$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( 7^{10} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3, 5$ |
3B, 5B.1.4[2] |
$625$ |
\( 1 \) |
$1$ |
$1.654517400$ |
1.48465 |
\( \frac{1868725201871035180068}{2401} a^{5} - \frac{49786647890889419082432}{16807} a^{4} + \frac{37590650528569269107756}{16807} a^{3} + \frac{36759694234274090980991}{16807} a^{2} - \frac{40226057957192491342390}{16807} a + \frac{7243098992357634858294}{16807} \) |
\( \bigl[a^{5} - 5 a^{3} + 4 a\) , \( -a^{5} + a^{4} + 6 a^{3} - 4 a^{2} - 7 a + 1\) , \( -a^{5} + a^{4} + 5 a^{3} - 3 a^{2} - 5 a + 1\) , \( -67 a^{5} + 147 a^{4} + 136 a^{3} - 479 a^{2} + 248 a - 44\) , \( -611 a^{5} + 1384 a^{4} + 1064 a^{3} - 4447 a^{2} + 2879 a - 492\bigr] \) |
${y}^2+\left(a^{5}-5a^{3}+4a\right){x}{y}+\left(-a^{5}+a^{4}+5a^{3}-3a^{2}-5a+1\right){y}={x}^{3}+\left(-a^{5}+a^{4}+6a^{3}-4a^{2}-7a+1\right){x}^{2}+\left(-67a^{5}+147a^{4}+136a^{3}-479a^{2}+248a-44\right){x}-611a^{5}+1384a^{4}+1064a^{3}-4447a^{2}+2879a-492$ |
| 49.1-f1 |
49.1-f |
$1$ |
$1$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( - 7^{2} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$0.006790174$ |
$41021.07672$ |
2.39946 |
\( -\frac{5980179215}{7} a^{5} + \frac{700090460}{7} a^{4} + \frac{21196892310}{7} a^{3} - 667291825 a^{2} - 1239034905 a + \frac{2088108851}{7} \) |
\( \bigl[a + 1\) , \( -3 a^{5} + 4 a^{4} + 13 a^{3} - 14 a^{2} - 9 a + 5\) , \( 2 a^{5} - 2 a^{4} - 9 a^{3} + 7 a^{2} + 8 a - 3\) , \( -4 a^{5} + 2 a^{4} + 20 a^{3} - 6 a^{2} - 21 a + 3\) , \( -3 a^{5} + 3 a^{4} + 14 a^{3} - 10 a^{2} - 13 a + 1\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(2a^{5}-2a^{4}-9a^{3}+7a^{2}+8a-3\right){y}={x}^{3}+\left(-3a^{5}+4a^{4}+13a^{3}-14a^{2}-9a+5\right){x}^{2}+\left(-4a^{5}+2a^{4}+20a^{3}-6a^{2}-21a+3\right){x}-3a^{5}+3a^{4}+14a^{3}-10a^{2}-13a+1$ |
| 49.1-g1 |
49.1-g |
$1$ |
$1$ |
6.6.485125.1 |
$6$ |
$[6, 0]$ |
49.1 |
\( 7^{2} \) |
\( 7^{10} \) |
$86.08254$ |
$(-2a^5+3a^4+10a^3-12a^2-11a+6)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 5 \) |
$0.002309606$ |
$25038.61395$ |
2.49082 |
\( -\frac{9279771421}{16807} a^{5} + \frac{4802428873}{16807} a^{4} + \frac{42736263636}{16807} a^{3} - \frac{11435831123}{16807} a^{2} - \frac{29084734183}{16807} a + \frac{7143586071}{16807} \) |
\( \bigl[a + 1\) , \( -2 a^{5} + 2 a^{4} + 10 a^{3} - 7 a^{2} - 9 a + 2\) , \( a^{5} - a^{4} - 5 a^{3} + 4 a^{2} + 6 a - 2\) , \( -2 a^{5} + 2 a^{4} + 8 a^{3} - 4 a^{2} - 7 a + 1\) , \( a^{5} - 2 a^{4} - 3 a^{3} + 2 a^{2} + 6 a + 3\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a^{5}-a^{4}-5a^{3}+4a^{2}+6a-2\right){y}={x}^{3}+\left(-2a^{5}+2a^{4}+10a^{3}-7a^{2}-9a+2\right){x}^{2}+\left(-2a^{5}+2a^{4}+8a^{3}-4a^{2}-7a+1\right){x}+a^{5}-2a^{4}-3a^{3}+2a^{2}+6a+3$ |
*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.
