| 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 |
| 4.1-a1 |
4.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{22} \) |
$2.58061$ |
$(-107a+1146), (-107a-1039)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$0.974232017$ |
$14.81412004$ |
5.654057455 |
\( -\frac{806614979826073}{262144} a - \frac{979058236688701}{32768} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( 816765673272 a - 8747796347450\) , \( -1478955604013312315 a + 15840041831156966876\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(816765673272a-8747796347450\right){x}-1478955604013312315a+15840041831156966876$ |
| 4.1-a2 |
4.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{18} \) |
$2.58061$ |
$(-107a+1146), (-107a-1039)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.324744005$ |
$14.81412004$ |
5.654057455 |
\( -\frac{973743}{4096} a - \frac{3004729}{4096} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -69737038673 a + 746903833230\) , \( 9988538192367071 a - 106980130011921108\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-69737038673a+746903833230\right){x}+9988538192367071a-106980130011921108$ |
| 4.1-b1 |
4.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{22} \) |
$2.58061$ |
$(-107a+1146), (-107a-1039)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 2^{3} \) |
$4.531536256$ |
$0.675988298$ |
2.400140098 |
\( -\frac{806614979826073}{262144} a - \frac{979058236688701}{32768} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( -414422 a - 4024134\) , \( -465684459 a - 4521930669\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-414422a-4024134\right){x}-465684459a-4521930669$ |
| 4.1-b2 |
4.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{18} \) |
$2.58061$ |
$(-107a+1146), (-107a-1039)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2^{3} \cdot 3 \) |
$1.510512085$ |
$6.083894688$ |
2.400140098 |
\( -\frac{973743}{4096} a - \frac{3004729}{4096} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( -4807 a - 46654\) , \( -735725 a - 7144125\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-4807a-46654\right){x}-735725a-7144125$ |
| 4.1-c1 |
4.1-c |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{22} \) |
$2.58061$ |
$(-107a+1146), (-107a-1039)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$0.974232017$ |
$14.81412004$ |
5.654057455 |
\( \frac{806614979826073}{262144} a - \frac{8639080873335681}{262144} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -816765673272 a - 7931030674178\) , \( 1478955604013312315 a + 14361086227143654561\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-816765673272a-7931030674178\right){x}+1478955604013312315a+14361086227143654561$ |
| 4.1-c2 |
4.1-c |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{18} \) |
$2.58061$ |
$(-107a+1146), (-107a-1039)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.324744005$ |
$14.81412004$ |
5.654057455 |
\( \frac{973743}{4096} a - \frac{497309}{512} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( 69737038673 a + 677166794557\) , \( -9988538192367071 a - 96991591819554037\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(69737038673a+677166794557\right){x}-9988538192367071a-96991591819554037$ |
| 4.1-d1 |
4.1-d |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{22} \) |
$2.58061$ |
$(-107a+1146), (-107a-1039)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 2^{3} \) |
$4.531536256$ |
$0.675988298$ |
2.400140098 |
\( \frac{806614979826073}{262144} a - \frac{8639080873335681}{262144} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 414424 a - 4438557\) , \( 465270036 a - 4983176571\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(414424a-4438557\right){x}+465270036a-4983176571$ |
| 4.1-d2 |
4.1-d |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{18} \) |
$2.58061$ |
$(-107a+1146), (-107a-1039)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2^{3} \cdot 3 \) |
$1.510512085$ |
$6.083894688$ |
2.400140098 |
\( \frac{973743}{4096} a - \frac{497309}{512} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 4809 a - 51462\) , \( 730917 a - 7828388\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4809a-51462\right){x}+730917a-7828388$ |
| 6.1-a1 |
6.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( 2^{27} \cdot 3 \) |
$2.85591$ |
$(-107a-1039), (-1108a+11867)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 1 \) |
$24.87148910$ |
$1.174256528$ |
2.860399803 |
\( -\frac{3614711580091}{402653184} a - \frac{5603595609191}{50331648} \) |
\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 319033 a - 3416845\) , \( 327893300 a - 3511831800\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(319033a-3416845\right){x}+327893300a-3511831800$ |
| 6.1-a2 |
6.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( 2^{9} \cdot 3^{3} \) |
$2.85591$ |
$(-107a-1039), (-1108a+11867)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$8.290496368$ |
$10.56830875$ |
2.860399803 |
\( -\frac{227233}{4608} a + \frac{648859}{576} \) |
\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( -19632 a + 210355\) , \( 1110083 a - 11889129\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-19632a+210355\right){x}+1110083a-11889129$ |
| 6.1-b1 |
6.1-b |
$1$ |
$1$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( 2^{8} \cdot 3^{4} \) |
$2.85591$ |
$(-107a-1039), (-1108a+11867)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2^{3} \) |
$0.735851332$ |
$8.931007624$ |
5.149232428 |
\( -\frac{145873}{2304} a + \frac{198539}{288} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 1176798388324 a + 11427052361052\) , \( -27402560590331692861 a - 266086780708219106651\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1176798388324a+11427052361052\right){x}-27402560590331692861a-266086780708219106651$ |
| 6.1-c1 |
6.1-c |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( 2^{27} \cdot 3 \) |
$2.85591$ |
$(-107a-1039), (-1108a+11867)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3^{3} \) |
$0.843846785$ |
$14.74892973$ |
3.656851543 |
\( -\frac{3614711580091}{402653184} a - \frac{5603595609191}{50331648} \) |
\( \bigl[a\) , \( -a\) , \( 1\) , \( -120059948719 a - 1165816790408\) , \( 72656766242637349 a + 705518192814221346\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-120059948719a-1165816790408\right){x}+72656766242637349a+705518192814221346$ |
| 6.1-c2 |
6.1-c |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( 2^{9} \cdot 3^{3} \) |
$2.85591$ |
$(-107a-1039), (-1108a+11867)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 3^{2} \) |
$0.281282261$ |
$14.74892973$ |
3.656851543 |
\( -\frac{227233}{4608} a + \frac{648859}{576} \) |
\( \bigl[a\) , \( -a\) , \( 1\) , \( 3658228096 a + 35522452152\) , \( 528819343629006 a + 5134988617529405\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(3658228096a+35522452152\right){x}+528819343629006a+5134988617529405$ |
| 6.1-d1 |
6.1-d |
$1$ |
$1$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( 2^{8} \cdot 3^{4} \) |
$2.85591$ |
$(-107a-1039), (-1108a+11867)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2^{4} \) |
$0.145751399$ |
$16.52780799$ |
3.774939056 |
\( -\frac{145873}{2304} a + \frac{198539}{288} \) |
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -18 a + 220\) , \( -8 a + 88\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-18a+220\right){x}-8a+88$ |
| 6.2-a1 |
6.2-a |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
6.2 |
\( 2 \cdot 3 \) |
\( 2^{27} \cdot 3 \) |
$2.85591$ |
$(-107a+1146), (-1108a+11867)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 1 \) |
$24.87148910$ |
$1.174256528$ |
2.860399803 |
\( \frac{3614711580091}{402653184} a - \frac{48443476453619}{402653184} \) |
\( \bigl[a + 1\) , \( 1\) , \( a\) , \( -319033 a - 3097812\) , \( -328212333 a - 3187036312\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-319033a-3097812\right){x}-328212333a-3187036312$ |
| 6.2-a2 |
6.2-a |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
6.2 |
\( 2 \cdot 3 \) |
\( 2^{9} \cdot 3^{3} \) |
$2.85591$ |
$(-107a+1146), (-1108a+11867)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$8.290496368$ |
$10.56830875$ |
2.860399803 |
\( \frac{227233}{4608} a + \frac{4963639}{4608} \) |
\( \bigl[a + 1\) , \( 1\) , \( a\) , \( 19632 a + 190723\) , \( -1090451 a - 10588323\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(19632a+190723\right){x}-1090451a-10588323$ |
| 6.2-b1 |
6.2-b |
$1$ |
$1$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
6.2 |
\( 2 \cdot 3 \) |
\( 2^{8} \cdot 3^{4} \) |
$2.85591$ |
$(-107a+1146), (-1108a+11867)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2^{3} \) |
$0.735851332$ |
$8.931007624$ |
5.149232428 |
\( \frac{145873}{2304} a + \frac{160271}{256} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( -1176798388323 a + 12603850749376\) , \( 27402559413533304537 a - 293489328694700050136\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1176798388323a+12603850749376\right){x}+27402559413533304537a-293489328694700050136$ |
| 6.2-c1 |
6.2-c |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
6.2 |
\( 2 \cdot 3 \) |
\( 2^{27} \cdot 3 \) |
$2.85591$ |
$(-107a+1146), (-1108a+11867)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3^{3} \) |
$0.843846785$ |
$14.74892973$ |
3.656851543 |
\( \frac{3614711580091}{402653184} a - \frac{48443476453619}{402653184} \) |
\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 120059948718 a - 1285876739127\) , \( -72656766242637349 a + 778174959056858695\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(120059948718a-1285876739127\right){x}-72656766242637349a+778174959056858695$ |
| 6.2-c2 |
6.2-c |
$2$ |
$3$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
6.2 |
\( 2 \cdot 3 \) |
\( 2^{9} \cdot 3^{3} \) |
$2.85591$ |
$(-107a+1146), (-1108a+11867)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 3^{2} \) |
$0.281282261$ |
$14.74892973$ |
3.656851543 |
\( \frac{227233}{4608} a + \frac{4963639}{4608} \) |
\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( -3658228097 a + 39180680248\) , \( -528819343629006 a + 5663807961158411\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-3658228097a+39180680248\right){x}-528819343629006a+5663807961158411$ |
| 6.2-d1 |
6.2-d |
$1$ |
$1$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
6.2 |
\( 2 \cdot 3 \) |
\( 2^{8} \cdot 3^{4} \) |
$2.85591$ |
$(-107a+1146), (-1108a+11867)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2^{4} \) |
$0.145751399$ |
$16.52780799$ |
3.774939056 |
\( \frac{145873}{2304} a + \frac{160271}{256} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( 17 a + 203\) , \( 7 a + 81\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(17a+203\right){x}+7a+81$ |
| 8.1-a1 |
8.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
8.1 |
\( 2^{3} \) |
\( 2^{6} \) |
$3.06887$ |
$(-107a+1146), (-107a-1039)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$1.298734356$ |
$7.677396993$ |
5.859324441 |
\( \frac{149149}{4} a - 397662 \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 21 a + 211\) , \( 100 a + 1022\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(21a+211\right){x}+100a+1022$ |
| 8.1-b1 |
8.1-b |
$1$ |
$1$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
8.1 |
\( 2^{3} \) |
\( 2^{6} \) |
$3.06887$ |
$(-107a+1146), (-107a-1039)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$31.90735848$ |
3.125020135 |
\( \frac{149149}{4} a - 397662 \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 1306338746985816 a - 13991265418491792\) , \( -82216526281907524966625 a + 880562751162954476365301\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(1306338746985816a-13991265418491792\right){x}-82216526281907524966625a+880562751162954476365301$ |
| 8.2-a1 |
8.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
8.2 |
\( 2^{3} \) |
\( 2^{6} \) |
$3.06887$ |
$(-107a+1146), (-107a-1039)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$1.298734356$ |
$7.677396993$ |
5.859324441 |
\( -\frac{149149}{4} a - \frac{1441499}{4} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 30 a + 284\) , \( 162 a + 1590\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(30a+284\right){x}+162a+1590$ |
| 8.2-b1 |
8.2-b |
$1$ |
$1$ |
\(\Q(\sqrt{417}) \) |
$2$ |
$[2, 0]$ |
8.2 |
\( 2^{3} \) |
\( 2^{6} \) |
$3.06887$ |
$(-107a+1146), (-107a-1039)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$31.90735848$ |
3.125020135 |
\( -\frac{149149}{4} a - \frac{1441499}{4} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -1306338746985816 a - 12684926671505976\) , \( 82216526281907524966625 a + 798346224881046951398676\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-1306338746985816a-12684926671505976\right){x}+82216526281907524966625a+798346224881046951398676$ |
*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.
