| 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 |
| 40000.3-CMe1 |
40000.3-CMe |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{12} \cdot 5^{18} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{4} \) |
$1$ |
$0.614935313$ |
2.459741255 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -125\) , \( 0\bigr] \) |
${y}^2={x}^{3}-125{x}$ |
| 40000.3-CMd1 |
40000.3-CMd |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{12} \cdot 5^{12} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$1.375037163$ |
2.750074327 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 20 i + 15\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(20i+15\right){x}$ |
| 40000.3-CMc1 |
40000.3-CMc |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{12} \cdot 5^{12} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.225502032$ |
$1.375037163$ |
4.961178807 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -25\) , \( 0\bigr] \) |
${y}^2={x}^{3}-25{x}$ |
| 40000.3-CMc2 |
40000.3-CMc |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{12} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-16$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$0.902008130$ |
$1.375037163$ |
4.961178807 |
\( 287496 \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 68\) , \( 253 i\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+68{x}+253i$ |
| 40000.3-CMb1 |
40000.3-CMb |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{12} \cdot 5^{12} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$1.375037163$ |
2.750074327 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -20 i + 15\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(-20i+15\right){x}$ |
| 40000.3-CMa1 |
40000.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{12} \cdot 5^{6} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{4} \) |
$0.100974186$ |
$3.074676569$ |
4.967407456 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -5\) , \( 0\bigr] \) |
${y}^2={x}^{3}-5{x}$ |
| 40000.3-a1 |
40000.3-a |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{4} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$5$ |
5Ns.2.1 |
$1$ |
\( 1 \) |
$0.318472330$ |
$5.319699904$ |
3.388354449 |
\( -5000 \) |
\( \bigl[i + 1\) , \( 0\) , \( 0\) , \( 2\) , \( -i\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+2{x}-i$ |
| 40000.3-b1 |
40000.3-b |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{16} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$5$ |
5Ns.2.1 |
$1$ |
\( 3^{2} \) |
$0.196377791$ |
$1.063939980$ |
3.760815304 |
\( -5000 \) |
\( \bigl[i + 1\) , \( -i\) , \( i + 1\) , \( -i + 52\) , \( -177 i\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-i{x}^{2}+\left(-i+52\right){x}-177i$ |
| 40000.3-c1 |
40000.3-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{12} \cdot 5^{16} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.642953716$ |
$0.820904889$ |
4.222430801 |
\( -\frac{64}{25} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 8\) , \( 238 i\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+8{x}+238i$ |
| 40000.3-c2 |
40000.3-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{17} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.285907433$ |
$0.820904889$ |
4.222430801 |
\( -\frac{10307536}{625} a + \frac{24381448}{625} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( -125 i + 60\) , \( 61 i - 531\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-125i+60\right){x}+61i-531$ |
| 40000.3-c3 |
40000.3-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{17} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.285907433$ |
$0.820904889$ |
4.222430801 |
\( \frac{10307536}{625} a + \frac{24381448}{625} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( 126 i + 60\) , \( -i - 656\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(126i+60\right){x}-i-656$ |
| 40000.3-c4 |
40000.3-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{12} \cdot 5^{14} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.285907433$ |
$0.820904889$ |
4.222430801 |
\( \frac{438976}{5} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -158\) , \( -812\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-158{x}-812$ |
| 40000.3-d1 |
40000.3-d |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{12} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$5$ |
5B |
$1$ |
\( 1 \) |
$1$ |
$1.724888820$ |
1.724888820 |
\( -10880 a - 8760 \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 13 i - 21\) , \( -31 i + 27\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(13i-21\right){x}-31i+27$ |
| 40000.3-d2 |
40000.3-d |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{12} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$5$ |
5B |
$1$ |
\( 1 \) |
$1$ |
$1.724888820$ |
1.724888820 |
\( 10880 a - 8760 \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( -13 i - 21\) , \( -31 i - 27\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-13i-21\right){x}-31i-27$ |
| 40000.3-e1 |
40000.3-e |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{12} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$5$ |
5B |
$1$ |
\( 1 \) |
$1$ |
$1.724888820$ |
1.724888820 |
\( -10880 a - 8760 \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( 16 i + 19\) , \( 16 i - 47\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(16i+19\right){x}+16i-47$ |
| 40000.3-e2 |
40000.3-e |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{12} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$5$ |
5B |
$1$ |
\( 1 \) |
$1$ |
$1.724888820$ |
1.724888820 |
\( 10880 a - 8760 \) |
\( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( -18 i + 19\) , \( -17 i - 47\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-{x}^{2}+\left(-18i+19\right){x}-17i-47$ |
| 40000.3-f1 |
40000.3-f |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{18} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$5$ |
5B |
$1$ |
\( 3 \) |
$0.889911325$ |
$0.771393731$ |
4.118832109 |
\( -10880 a - 8760 \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -127 i + 10\) , \( 411 i - 369\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-127i+10\right){x}+411i-369$ |
| 40000.3-f2 |
40000.3-f |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{6} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$5$ |
5B |
$1$ |
\( 3 \) |
$0.177982265$ |
$3.856968656$ |
4.118832109 |
\( 10880 a - 8760 \) |
\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( 6 i\) , \( -i - 6\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i+1\right){x}^{2}+6i{x}-i-6$ |
| 40000.3-g1 |
40000.3-g |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{6} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$5$ |
5B |
$1$ |
\( 3 \) |
$0.177982265$ |
$3.856968656$ |
4.118832109 |
\( -10880 a - 8760 \) |
\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( -5 i\) , \( i - 1\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}-5i{x}+i-1$ |
| 40000.3-g2 |
40000.3-g |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{18} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$5$ |
5B |
$1$ |
\( 3 \) |
$0.889911325$ |
$0.771393731$ |
4.118832109 |
\( 10880 a - 8760 \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 124 i + 10\) , \( -401 i - 494\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(124i+10\right){x}-401i-494$ |
| 40000.3-h1 |
40000.3-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{15} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.575074894$ |
2.300299577 |
\( -\frac{649216016}{25} a - \frac{494572808}{25} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( 666 i - 331\) , \( 7616 i + 953\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(666i-331\right){x}+7616i+953$ |
| 40000.3-h2 |
40000.3-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{15} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.575074894$ |
2.300299577 |
\( \frac{649216016}{25} a - \frac{494572808}{25} \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( i + 1\) , \( -668 i - 331\) , \( 7616 i - 953\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-668i-331\right){x}+7616i-953$ |
| 40000.3-h3 |
40000.3-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{12} \cdot 5^{18} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.575074894$ |
2.300299577 |
\( -\frac{3181056}{625} a - \frac{1129792}{625} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 166 i + 75\) , \( 49 i + 1099\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(166i+75\right){x}+49i+1099$ |
| 40000.3-h4 |
40000.3-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{12} \cdot 5^{18} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.575074894$ |
2.300299577 |
\( \frac{3181056}{625} a - \frac{1129792}{625} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -166 i + 75\) , \( -49 i + 1099\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-166i+75\right){x}-49i+1099$ |
| 40000.3-h5 |
40000.3-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{21} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.575074894$ |
2.300299577 |
\( -\frac{256910704}{390625} a - \frac{293256872}{390625} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( -83 i - 81\) , \( 679 i + 453\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-83i-81\right){x}+679i+453$ |
| 40000.3-h6 |
40000.3-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{21} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.575074894$ |
2.300299577 |
\( \frac{256910704}{390625} a - \frac{293256872}{390625} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( 83 i - 81\) , \( -679 i + 453\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(83i-81\right){x}-679i+453$ |
| 40000.3-i1 |
40000.3-i |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{10} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$5$ |
5Ns.2.1 |
$1$ |
\( 1 \) |
$1$ |
$2.379042121$ |
2.379042121 |
\( -5000 \) |
\( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -8 i - 6\) , \( 11 i + 2\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-8i-6\right){x}+11i+2$ |
| 40000.3-j1 |
40000.3-j |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
40000.3 |
\( 2^{6} \cdot 5^{4} \) |
\( 2^{6} \cdot 5^{10} \) |
$2.52746$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$5$ |
5Ns.2.1 |
$1$ |
\( 1 \) |
$1$ |
$2.379042121$ |
2.379042121 |
\( -5000 \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 8 i - 6\) , \( -11 i + 2\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(8i-6\right){x}-11i+2$ |
*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.
