| 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 |
| 400.3-a1 |
400.3-a |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{27} \cdot 5^{7} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.811731420$ |
2.651103718 |
\( -\frac{14537151}{1280} a - \frac{4452003}{160} \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( -8 a - 28\) , \( 48 a - 232\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-8a-28\right){x}+48a-232$ |
| 400.3-a2 |
400.3-a |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{17} \cdot 5^{9} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.811731420$ |
2.651103718 |
\( \frac{6648609843}{1000} a - \frac{2035556811}{125} \) |
\( \bigl[a\) , \( -a\) , \( a\) , \( 417 a + 1019\) , \( -4636 a - 11365\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(417a+1019\right){x}-4636a-11365$ |
| 400.3-b1 |
400.3-b |
$1$ |
$1$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{11} \cdot 5^{7} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{3} \) |
$0.105945223$ |
$5.794245061$ |
2.004899482 |
\( \frac{49}{5} a + \frac{1976}{5} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 6 a + 15\) , \( -29 a - 71\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a+15\right){x}-29a-71$ |
| 400.3-c1 |
400.3-c |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{2} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$17.04903024$ |
3.480118726 |
\( 0 \) |
\( \bigl[0\) , \( -a\) , \( a\) , \( 2\) , \( -1\bigr] \) |
${y}^2+a{y}={x}^{3}-a{x}^{2}+2{x}-1$ |
| 400.3-c2 |
400.3-c |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{2} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$17.04903024$ |
3.480118726 |
\( 0 \) |
\( \bigl[0\) , \( -a\) , \( a\) , \( 2\) , \( -9 a + 20\bigr] \) |
${y}^2+a{y}={x}^{3}-a{x}^{2}+2{x}-9a+20$ |
| 400.3-d1 |
400.3-d |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{10} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$5$ |
5B.4.2 |
$25$ |
\( 1 \) |
$1$ |
$0.587735077$ |
2.999273006 |
\( -1835626496 a - 4496347136 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -2738 a + 6705\) , \( 84733 a - 207553\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2738a+6705\right){x}+84733a-207553$ |
| 400.3-d2 |
400.3-d |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{2} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$5$ |
5B.4.1 |
$1$ |
\( 1 \) |
$1$ |
$14.69337693$ |
2.999273006 |
\( 118784 a - 290816 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 10 a + 25\) , \( -69 a - 169\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(10a+25\right){x}-69a-169$ |
| 400.3-e1 |
400.3-e |
$4$ |
$6$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{6} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$7.913458842$ |
1.615328022 |
\( 0 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 2\) , \( -4 a + 9\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+2{x}-4a+9$ |
| 400.3-e2 |
400.3-e |
$4$ |
$6$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{6} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$7.913458842$ |
1.615328022 |
\( 0 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 2\) , \( 50 a + 123\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+2{x}+50a+123$ |
| 400.3-e3 |
400.3-e |
$4$ |
$6$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{6} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-12$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$15.82691768$ |
1.615328022 |
\( 54000 \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( -31 a - 71\) , \( -129 a - 314\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-31a-71\right){x}-129a-314$ |
| 400.3-e4 |
400.3-e |
$4$ |
$6$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{6} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-12$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$15.82691768$ |
1.615328022 |
\( 54000 \) |
\( \bigl[a\) , \( -a\) , \( a\) , \( 4 a - 14\) , \( 17 a - 42\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(4a-14\right){x}+17a-42$ |
| 400.3-f1 |
400.3-f |
$1$ |
$1$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{2} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$0.136288769$ |
$45.82546949$ |
2.549713406 |
\( 10240 a - 35840 \) |
\( \bigl[0\) , \( -a - 1\) , \( a\) , \( 4 a - 6\) , \( -4 a + 7\bigr] \) |
${y}^2+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-6\right){x}-4a+7$ |
| 400.3-g1 |
400.3-g |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{10} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$3.673102219$ |
0.749768850 |
\( 0 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 2\) , \( 1534 a - 3758\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+2{x}+1534a-3758$ |
| 400.3-g2 |
400.3-g |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{10} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$3.673102219$ |
0.749768850 |
\( 0 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 2\) , \( -14 a - 26\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+2{x}-14a-26$ |
| 400.3-h1 |
400.3-h |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{13} \cdot 5^{3} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 2^{2} \) |
$1.008645709$ |
$2.041992532$ |
3.363389478 |
\( \frac{87641}{2} a - 118394 \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 111 a - 272\) , \( 1208 a - 2959\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(111a-272\right){x}+1208a-2959$ |
| 400.3-h2 |
400.3-h |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{17} \cdot 5^{3} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 2^{2} \) |
$0.201729141$ |
$10.20996266$ |
3.363389478 |
\( -\frac{1151}{8} a + \frac{707}{2} \) |
\( \bigl[a\) , \( a + 1\) , \( a\) , \( -4 a + 15\) , \( -13 a + 35\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-4a+15\right){x}-13a+35$ |
| 400.3-i1 |
400.3-i |
$2$ |
$2$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{10} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.156670839$ |
0.440228591 |
\( \frac{213248}{625} a + \frac{84032}{625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 222 a + 544\) , \( -2416 a - 5918\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(222a+544\right){x}-2416a-5918$ |
| 400.3-i2 |
400.3-i |
$2$ |
$2$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{8} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.313341678$ |
0.440228591 |
\( -\frac{8704256}{25} a + \frac{21394496}{25} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 8 a - 34\) , \( 46 a - 120\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(8a-34\right){x}+46a-120$ |
| 400.3-j1 |
400.3-j |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{10} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$5$ |
5B.4.2 |
$1$ |
\( 1 \) |
$1$ |
$5.073664312$ |
1.035657391 |
\( -1835626496 a - 4496347136 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -76 a - 49\) , \( 168 a + 901\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-76a-49\right){x}+168a+901$ |
| 400.3-j2 |
400.3-j |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{2} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$5$ |
5B.4.1 |
$1$ |
\( 1 \) |
$1$ |
$5.073664312$ |
1.035657391 |
\( 118784 a - 290816 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4 a - 9\) , \( 8 a - 19\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(4a-9\right){x}+8a-19$ |
| 400.3-k1 |
400.3-k |
$1$ |
$1$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{11} \cdot 5^{7} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{3} \) |
$0.164112571$ |
$5.730633617$ |
3.071558957 |
\( \frac{49}{5} a + \frac{1976}{5} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -8 a + 20\) , \( 36 a - 88\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(-8a+20\right){x}+36a-88$ |
| 400.3-l1 |
400.3-l |
$1$ |
$1$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{2} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1.432476805$ |
$4.386318674$ |
2.565146385 |
\( 10240 a - 35840 \) |
\( \bigl[0\) , \( a - 1\) , \( a\) , \( -4 a - 6\) , \( -7 a - 20\bigr] \) |
${y}^2+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-4a-6\right){x}-7a-20$ |
| 400.3-m1 |
400.3-m |
$2$ |
$2$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{10} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$5.996214637$ |
1.223972187 |
\( \frac{213248}{625} a + \frac{84032}{625} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 4 a + 2\) , \( -2 a + 12\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(4a+2\right){x}-2a+12$ |
| 400.3-m2 |
400.3-m |
$2$ |
$2$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{8} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$11.99242927$ |
1.223972187 |
\( -\frac{8704256}{25} a + \frac{21394496}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -302 a - 740\) , \( 2772 a + 6790\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-302a-740\right){x}+2772a+6790$ |
| 400.3-n1 |
400.3-n |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{13} \cdot 5^{3} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 2^{3} \) |
$0.047565126$ |
$23.91539627$ |
3.715186306 |
\( \frac{87641}{2} a - 118394 \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -a - 9\) , \( a + 2\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-a-9\right){x}+a+2$ |
| 400.3-n2 |
400.3-n |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{17} \cdot 5^{3} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 2^{3} \) |
$0.237825631$ |
$4.783079255$ |
3.715186306 |
\( -\frac{1151}{8} a + \frac{707}{2} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -a + 6\) , \( -22 a - 49\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+6\right){x}-22a-49$ |
| 400.3-o1 |
400.3-o |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{27} \cdot 5^{7} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$1$ |
$5.188312098$ |
4.236239089 |
\( -\frac{14537151}{1280} a - \frac{4452003}{160} \) |
\( \bigl[a\) , \( -a\) , \( a\) , \( 271 a - 667\) , \( -65764 a + 161087\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(271a-667\right){x}-65764a+161087$ |
| 400.3-o2 |
400.3-o |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
400.3 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{17} \cdot 5^{9} \) |
$1.95776$ |
$(-a+2), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$1$ |
$5.188312098$ |
4.236239089 |
\( \frac{6648609843}{1000} a - \frac{2035556811}{125} \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( 96 a - 214\) , \( -636 a + 1574\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(96a-214\right){x}-636a+1574$ |
*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.
