| 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 |
| 3.1-a1 |
3.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
3.1 |
\( 3 \) |
\( - 3^{5} \) |
$2.38708$ |
$(-a-10)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1$ |
$30.76767124$ |
1.515814364 |
\( \frac{150302}{243} a + \frac{854491}{243} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( -253 a - 2523\) , \( -7081 a - 71938\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-253a-2523\right){x}-7081a-71938$ |
| 3.1-b1 |
3.1-b |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
3.1 |
\( 3 \) |
\( - 3^{5} \) |
$2.38708$ |
$(-a-10)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 5 \) |
$0.490003073$ |
$17.20062994$ |
4.152355696 |
\( \frac{150302}{243} a + \frac{854491}{243} \) |
\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( -269 a - 2319\) , \( 4997 a + 52288\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-269a-2319\right){x}+4997a+52288$ |
| 3.2-a1 |
3.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
3.2 |
\( 3 \) |
\( - 3^{5} \) |
$2.38708$ |
$(-a+10)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1$ |
$30.76767124$ |
1.515814364 |
\( -\frac{150302}{243} a + \frac{854491}{243} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 252 a - 2523\) , \( 7081 a - 71938\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(252a-2523\right){x}+7081a-71938$ |
| 3.2-b1 |
3.2-b |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
3.2 |
\( 3 \) |
\( - 3^{5} \) |
$2.38708$ |
$(-a+10)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 5 \) |
$0.490003073$ |
$17.20062994$ |
4.152355696 |
\( -\frac{150302}{243} a + \frac{854491}{243} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 268 a - 2319\) , \( -4997 a + 52288\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(268a-2319\right){x}-4997a+52288$ |
| 6.1-a1 |
6.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( - 2^{6} \cdot 3^{3} \) |
$2.83874$ |
$(47a+477), (-a-10)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$2.194501467$ |
$31.72054586$ |
4.572636265 |
\( \frac{719971}{216} a - \frac{3361313}{108} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( 430024 a - 4364272\) , \( -495430085 a + 5028066185\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(430024a-4364272\right){x}-495430085a+5028066185$ |
| 6.1-a2 |
6.1-a |
$2$ |
$3$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( - 2^{18} \cdot 3 \) |
$2.83874$ |
$(47a+477), (-a-10)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 2 \) |
$6.583504402$ |
$3.524505095$ |
4.572636265 |
\( \frac{477612467137}{1536} a + \frac{2423619466879}{768} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( -1604376 a + 16282633\) , \( -2438953728 a + 24752676892\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-1604376a+16282633\right){x}-2438953728a+24752676892$ |
| 6.1-b1 |
6.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( - 2^{6} \cdot 3^{3} \) |
$2.83874$ |
$(47a+477), (-a-10)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B |
$1$ |
\( 2 \) |
$1$ |
$10.75469743$ |
1.059691826 |
\( \frac{719971}{216} a - \frac{3361313}{108} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( 430024 a - 4364085\) , \( 499300305 a - 5067343976\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(430024a-4364085\right){x}+499300305a-5067343976$ |
| 6.1-b2 |
6.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( - 2^{18} \cdot 3 \) |
$2.83874$ |
$(47a+477), (-a-10)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B |
$1$ |
\( 2 \) |
$1$ |
$10.75469743$ |
1.059691826 |
\( \frac{477612467137}{1536} a + \frac{2423619466879}{768} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( -1604376 a + 16282820\) , \( 2424514348 a - 24606132538\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-1604376a+16282820\right){x}+2424514348a-24606132538$ |
| 6.2-a1 |
6.2-a |
$2$ |
$3$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
6.2 |
\( 2 \cdot 3 \) |
\( - 2^{6} \cdot 3^{3} \) |
$2.83874$ |
$(47a+477), (-a+10)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$2.194501467$ |
$31.72054586$ |
4.572636265 |
\( -\frac{719971}{216} a - \frac{3361313}{108} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( -430025 a - 4364272\) , \( 495430085 a + 5028066185\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-430025a-4364272\right){x}+495430085a+5028066185$ |
| 6.2-a2 |
6.2-a |
$2$ |
$3$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
6.2 |
\( 2 \cdot 3 \) |
\( - 2^{18} \cdot 3 \) |
$2.83874$ |
$(47a+477), (-a+10)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 2 \) |
$6.583504402$ |
$3.524505095$ |
4.572636265 |
\( -\frac{477612467137}{1536} a + \frac{2423619466879}{768} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( 1604375 a + 16282633\) , \( 2438953728 a + 24752676892\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(1604375a+16282633\right){x}+2438953728a+24752676892$ |
| 6.2-b1 |
6.2-b |
$2$ |
$3$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
6.2 |
\( 2 \cdot 3 \) |
\( - 2^{6} \cdot 3^{3} \) |
$2.83874$ |
$(47a+477), (-a+10)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B |
$1$ |
\( 2 \) |
$1$ |
$10.75469743$ |
1.059691826 |
\( -\frac{719971}{216} a - \frac{3361313}{108} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( -430025 a - 4364085\) , \( -499300306 a - 5067343976\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-430025a-4364085\right){x}-499300306a-5067343976$ |
| 6.2-b2 |
6.2-b |
$2$ |
$3$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
6.2 |
\( 2 \cdot 3 \) |
\( - 2^{18} \cdot 3 \) |
$2.83874$ |
$(47a+477), (-a+10)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B |
$1$ |
\( 2 \) |
$1$ |
$10.75469743$ |
1.059691826 |
\( -\frac{477612467137}{1536} a + \frac{2423619466879}{768} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( 1604375 a + 16282820\) , \( -2424514349 a - 24606132538\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(1604375a+16282820\right){x}-2424514349a-24606132538$ |
| 8.1-a1 |
8.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
8.1 |
\( 2^{3} \) |
\( 2^{11} \) |
$3.05042$ |
$(47a+477)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$19.67659503$ |
0.969396259 |
\( 3446780969 a - 34981005627 \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 28 a + 288\) , \( 132 a + 1340\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(28a+288\right){x}+132a+1340$ |
| 8.1-b1 |
8.1-b |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
8.1 |
\( 2^{3} \) |
\( 2^{11} \) |
$3.05042$ |
$(47a+477)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
|
|
$25$ |
\( 1 \) |
$1$ |
$1.932754265$ |
2.380499206 |
\( -3446780969 a - 34981005627 \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 22 a + 219\) , \( 89 a + 929\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(22a+219\right){x}+89a+929$ |
| 8.1-c1 |
8.1-c |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
8.1 |
\( 2^{3} \) |
\( 2^{11} \) |
$3.05042$ |
$(47a+477)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$19.67659503$ |
0.969396259 |
\( -3446780969 a - 34981005627 \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 23 a + 236\) , \( 104 a + 1108\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(23a+236\right){x}+104a+1108$ |
| 8.1-d1 |
8.1-d |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
8.1 |
\( 2^{3} \) |
\( 2^{11} \) |
$3.05042$ |
$(47a+477)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
|
|
$25$ |
\( 1 \) |
$1$ |
$1.932754265$ |
2.380499206 |
\( 3446780969 a - 34981005627 \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 27 a + 271\) , \( 130 a + 1161\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(27a+271\right){x}+130a+1161$ |
| 9.2-a1 |
9.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
9.2 |
\( 3^{2} \) |
\( - 3^{13} \) |
$3.14158$ |
$(-a+10)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$2.189437114$ |
$8.375073667$ |
7.227073817 |
\( -\frac{418304}{2187} a + \frac{4383040}{2187} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 3309963606 a - 33592461184\) , \( 247572308734684 a - 2512584515865079\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3309963606a-33592461184\right){x}+247572308734684a-2512584515865079$ |
| 9.2-b1 |
9.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
9.2 |
\( 3^{2} \) |
\( - 3^{9} \) |
$3.14158$ |
$(-a+10)$ |
0 |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$17.06155021$ |
0.420281123 |
\( 1728 \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 45846900 a - 465294679\) , \( 179974522 a - 1826539146\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(45846900a-465294679\right){x}+179974522a-1826539146$ |
| 9.2-b2 |
9.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
9.2 |
\( 3^{2} \) |
\( - 3^{9} \) |
$3.14158$ |
$(-a+10)$ |
0 |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$17.06155021$ |
0.420281123 |
\( 1728 \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 8 a + 81\) , \( -126 a - 1244\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(8a+81\right){x}-126a-1244$ |
| 9.2-c1 |
9.2-c |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
9.2 |
\( 3^{2} \) |
\( - 3^{7} \) |
$3.14158$ |
$(-a+10)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$2.154243746$ |
$13.05809053$ |
11.08704716 |
\( -\frac{512}{3} a + \frac{64}{3} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -2297312304 a - 23315173138\) , \( -270729498567703 a - 2747604324434296\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-2297312304a-23315173138\right){x}-270729498567703a-2747604324434296$ |
| 9.2-d1 |
9.2-d |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
9.2 |
\( 3^{2} \) |
\( - 3^{7} \) |
$3.14158$ |
$(-a+10)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1.047477597$ |
$31.29443300$ |
6.459861611 |
\( -\frac{512}{3} a + \frac{64}{3} \) |
\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( -2297312287 a - 23315173155\) , \( 270690444258688 a + 2747207966488357\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-2297312287a-23315173155\right){x}+270690444258688a+2747207966488357$ |
| 9.2-e1 |
9.2-e |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
9.2 |
\( 3^{2} \) |
\( - 3^{13} \) |
$3.14158$ |
$(-a+10)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$0.298134209$ |
$16.33420139$ |
0.959668192 |
\( -\frac{418304}{2187} a + \frac{4383040}{2187} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 3309963606 a - 33592461184\) , \( -247546321851437 a + 2512320777810415\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3309963606a-33592461184\right){x}-247546321851437a+2512320777810415$ |
| 9.3-a1 |
9.3-a |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
9.3 |
\( 3^{2} \) |
\( - 3^{13} \) |
$3.14158$ |
$(-a-10)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$2.189437114$ |
$8.375073667$ |
7.227073817 |
\( \frac{418304}{2187} a + \frac{4383040}{2187} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( -3309963553 a - 33592461133\) , \( -247605901195868 a - 2512925442113742\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3309963553a-33592461133\right){x}-247605901195868a-2512925442113742$ |
| 9.3-b1 |
9.3-b |
$2$ |
$2$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
9.3 |
\( 3^{2} \) |
\( - 3^{9} \) |
$3.14158$ |
$(-a-10)$ |
0 |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$17.06155021$ |
0.420281123 |
\( 1728 \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( -45846847 a - 465294628\) , \( -645269201 a - 6548767091\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-45846847a-465294628\right){x}-645269201a-6548767091$ |
| 9.3-b2 |
9.3-b |
$2$ |
$2$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
9.3 |
\( 3^{2} \) |
\( - 3^{9} \) |
$3.14158$ |
$(-a-10)$ |
0 |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$17.06155021$ |
0.420281123 |
\( 1728 \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( 45 a + 132\) , \( 207 a + 687\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(45a+132\right){x}+207a+687$ |
| 9.3-c1 |
9.3-c |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
9.3 |
\( 3^{2} \) |
\( - 3^{7} \) |
$3.14158$ |
$(-a-10)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$2.154243746$ |
$13.05809053$ |
11.08704716 |
\( \frac{512}{3} a + \frac{64}{3} \) |
\( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 2297312303 a - 23315173138\) , \( 270729498567703 a - 2747604324434296\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(2297312303a-23315173138\right){x}+270729498567703a-2747604324434296$ |
| 9.3-d1 |
9.3-d |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
9.3 |
\( 3^{2} \) |
\( - 3^{7} \) |
$3.14158$ |
$(-a-10)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1.047477597$ |
$31.29443300$ |
6.459861611 |
\( \frac{512}{3} a + \frac{64}{3} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 2297312286 a - 23315173155\) , \( -270690444258688 a + 2747207966488357\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2297312286a-23315173155\right){x}-270690444258688a+2747207966488357$ |
| 9.3-e1 |
9.3-e |
$1$ |
$1$ |
\(\Q(\sqrt{103}) \) |
$2$ |
$[2, 0]$ |
9.3 |
\( 3^{2} \) |
\( - 3^{13} \) |
$3.14158$ |
$(-a-10)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$0.298134209$ |
$16.33420139$ |
0.959668192 |
\( \frac{418304}{2187} a + \frac{4383040}{2187} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( -3309963553 a - 33592461133\) , \( 247512729390253 a + 2511979851561752\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3309963553a-33592461133\right){x}+247512729390253a+2511979851561752$ |
*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.
