| 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 |
| 2100.1-a1 |
2100.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.075239452$ |
$5.320256756$ |
2.795236452 |
\( -\frac{135162664}{390625} a + \frac{15845756753}{16406250} \) |
\( \bigl[a\) , \( -a\) , \( 1\) , \( -a + 3\) , \( 77 a + 140\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a+3\right){x}+77a+140$ |
| 2100.1-a2 |
2100.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3 \cdot 5^{5} \cdot 7 \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.150478905$ |
$21.28102702$ |
2.795236452 |
\( \frac{140306072}{13125} a + \frac{1104071597}{52500} \) |
\( \bigl[a\) , \( -a\) , \( 1\) , \( -11 a - 17\) , \( 29 a + 52\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-11a-17\right){x}+29a+52$ |
| 2100.1-b1 |
2100.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{4} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$0.100936910$ |
$5.835536850$ |
4.113117860 |
\( -\frac{80212267}{490000} a + \frac{138849131}{1470000} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -5 a - 5\) , \( 24 a + 45\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-5a-5\right){x}+24a+45$ |
| 2100.1-b2 |
2100.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{18} \cdot 7 \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.403747641$ |
$1.458884212$ |
4.113117860 |
\( -\frac{117524503495401523}{57678222656250} a + \frac{1313204135797574189}{173034667968750} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -165 a - 415\) , \( 350 a + 225\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-165a-415\right){x}+350a+225$ |
| 2100.1-b3 |
2100.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.201873820$ |
$5.835536850$ |
4.113117860 |
\( \frac{5972238487619}{32812500} a + \frac{16334725425329}{49218750} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -145 a - 285\) , \( 1228 a + 2257\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-145a-285\right){x}+1228a+2257$ |
| 2100.1-b4 |
2100.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{12} \cdot 7 \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.403747641$ |
$5.835536850$ |
4.113117860 |
\( \frac{840376930566752489}{5468750} a + \frac{903298275985918357}{3281250} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -2365 a - 4635\) , \( 94282 a + 172177\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-2365a-4635\right){x}+94282a+172177$ |
| 2100.1-c1 |
2100.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{12} \cdot 7^{8} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$0.512804352$ |
$0.628173433$ |
4.498850846 |
\( -\frac{156551341339}{50646093750} a + \frac{651745356151}{75969140625} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -15 a + 15\) , \( -3033 a - 4365\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-15a+15\right){x}-3033a-4365$ |
| 2100.1-c2 |
2100.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 3 \cdot 5^{3} \cdot 7 \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.025608704$ |
$10.05077494$ |
4.498850846 |
\( \frac{706915481}{134400} a - \frac{358631303}{26880} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 5 a + 5\) , \( 5 a + 17\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5a+5\right){x}+5a+17$ |
| 2100.1-c3 |
2100.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.512804352$ |
$10.05077494$ |
4.498850846 |
\( -\frac{8435299889003}{70000} a + \frac{1009093056769}{3000} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 5 a - 75\) , \( -75 a + 225\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5a-75\right){x}-75a+225$ |
| 2100.1-c4 |
2100.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 7^{4} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$0.256402176$ |
$2.512693735$ |
4.498850846 |
\( \frac{1859624173823}{229687500} a + \frac{5340875899949}{137812500} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -95 a - 255\) , \( -1215 a - 1823\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-95a-255\right){x}-1215a-1823$ |
| 2100.1-c5 |
2100.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 7 \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1.025608704$ |
$10.05077494$ |
4.498850846 |
\( -\frac{139744981207351294529}{2100} a + \frac{78013693558731894287}{420} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 105 a - 1175\) , \( -2455 a + 15905\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(105a-1175\right){x}-2455a+15905$ |
| 2100.1-c6 |
2100.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{18} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$0.512804352$ |
$0.628173433$ |
4.498850846 |
\( \frac{1712290851268854882439}{2136230468750} a + \frac{131451986041708808863}{91552734375} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -1775 a - 3405\) , \( -66357 a - 119633\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-1775a-3405\right){x}-66357a-119633$ |
| 2100.1-d1 |
2100.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{24} \cdot 5^{8} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$0.725904772$ |
$0.990447781$ |
5.020553117 |
\( -\frac{58818484369}{18600435000} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -81\) , \( 6561\bigr] \) |
${y}^2+{x}{y}={x}^{3}-81{x}+6561$ |
| 2100.1-d2 |
2100.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{24} \cdot 7^{6} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{6} \cdot 3 \) |
$2.177714318$ |
$0.110049753$ |
5.020553117 |
\( \frac{42841933504271}{13565917968750} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 729\) , \( -176985\bigr] \) |
${y}^2+{x}{y}={x}^{3}+729{x}-176985$ |
| 2100.1-d3 |
2100.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$0.725904772$ |
$3.961791124$ |
5.020553117 |
\( \frac{7633736209}{3870720} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -41\) , \( -39\bigr] \) |
${y}^2+{x}{y}={x}^{3}-41{x}-39$ |
| 2100.1-d4 |
2100.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 7^{24} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{4} \cdot 3 \) |
$2.177714318$ |
$0.440199013$ |
5.020553117 |
\( \frac{29689921233686449}{10380965400750} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -6451\) , \( 124931\bigr] \) |
${y}^2+{x}{y}={x}^{3}-6451{x}+124931$ |
| 2100.1-d5 |
2100.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 7^{12} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.2 |
$1$ |
\( 2^{7} \cdot 3 \) |
$1.088857159$ |
$0.440199013$ |
5.020553117 |
\( \frac{2179252305146449}{66177562500} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -2701\) , \( -52819\bigr] \) |
${y}^2+{x}{y}={x}^{3}-2701{x}-52819$ |
| 2100.1-d6 |
2100.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{7} \cdot 3^{2} \) |
$0.362952386$ |
$3.961791124$ |
5.020553117 |
\( \frac{5203798902289}{57153600} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -361\) , \( 2585\bigr] \) |
${y}^2+{x}{y}={x}^{3}-361{x}+2585$ |
| 2100.1-d7 |
2100.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{6} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{4} \cdot 3 \) |
$2.177714318$ |
$0.440199013$ |
5.020553117 |
\( \frac{2131200347946769}{2058000} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -2681\) , \( -53655\bigr] \) |
${y}^2+{x}{y}={x}^{3}-2681{x}-53655$ |
| 2100.1-d8 |
2100.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$0.725904772$ |
$3.961791124$ |
5.020553117 |
\( \frac{21145699168383889}{2593080} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -5761\) , \( 167825\bigr] \) |
${y}^2+{x}{y}={x}^{3}-5761{x}+167825$ |
| 2100.1-e1 |
2100.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.075239452$ |
$5.320256756$ |
2.795236452 |
\( \frac{135162664}{390625} a + \frac{2033784973}{3281250} \) |
\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 2\) , \( -77 a + 217\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+2{x}-77a+217$ |
| 2100.1-e2 |
2100.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3 \cdot 5^{5} \cdot 7 \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.150478905$ |
$21.28102702$ |
2.795236452 |
\( -\frac{140306072}{13125} a + \frac{333059177}{10500} \) |
\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 10 a - 28\) , \( -29 a + 81\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(10a-28\right){x}-29a+81$ |
| 2100.1-f1 |
2100.1-f |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{10} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{5} \) |
$0.692142189$ |
$1.708555422$ |
4.128903461 |
\( -\frac{1426644089}{1968750} a + \frac{2421966977}{5906250} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( -12 a + 19\) , \( -10 a - 34\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-12a+19\right){x}-10a-34$ |
| 2100.1-f2 |
2100.1-f |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{14} \cdot 7^{6} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{5} \cdot 3^{3} \) |
$0.230714063$ |
$1.708555422$ |
4.128903461 |
\( \frac{903493173641851}{251220703125} a - \frac{3649084875830707}{401953125000} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 153 a - 281\) , \( -1078 a + 3776\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(153a-281\right){x}-1078a+3776$ |
| 2100.1-f3 |
2100.1-f |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 7^{3} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$0.461428126$ |
$6.834221689$ |
4.128903461 |
\( -\frac{529575197078051}{9187500} a + \frac{4730317005468839}{29400000} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 113 a - 361\) , \( -1206 a + 3392\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(113a-361\right){x}-1206a+3392$ |
| 2100.1-f4 |
2100.1-f |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 7 \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \) |
$1.384284378$ |
$6.834221689$ |
4.128903461 |
\( \frac{35542466609}{31500} a + \frac{31860926533}{15750} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( -2 a - 11\) , \( -14 a - 18\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a-11\right){x}-14a-18$ |
| 2100.1-g1 |
2100.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{8} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.532646580$ |
$3.212342921$ |
2.987042376 |
\( \frac{30080231}{9003750} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( 7\) , \( 147\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}+7{x}+147$ |
| 2100.1-g2 |
2100.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.133161645$ |
$12.84937168$ |
2.987042376 |
\( \frac{4826809}{1680} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -3\) , \( -3\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-3{x}-3$ |
| 2100.1-g3 |
2100.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.266323290$ |
$12.84937168$ |
2.987042376 |
\( \frac{1439069689}{44100} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -23\) , \( 33\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-23{x}+33$ |
| 2100.1-g4 |
2100.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.532646580$ |
$12.84937168$ |
2.987042376 |
\( \frac{5763259856089}{5670} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -373\) , \( 2623\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-373{x}+2623$ |
| 2100.1-h1 |
2100.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{5} \cdot 7^{3} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \) |
$0.173896433$ |
$4.236867045$ |
4.823331565 |
\( \frac{29181164647}{211680000} a - \frac{80832674957}{211680000} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 6 a - 3\) , \( 55 a + 131\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-3\right){x}+55a+131$ |
| 2100.1-h2 |
2100.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{20} \cdot 5^{2} \cdot 7^{3} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \) |
$0.173896433$ |
$2.118433522$ |
4.823331565 |
\( -\frac{28534491856684081127}{57868020} a + \frac{8849775613116843067}{6429780} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 626 a - 3203\) , \( -26113 a + 61171\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(626a-3203\right){x}-26113a+61171$ |
| 2100.1-h3 |
2100.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 7^{6} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
$0.086948216$ |
$4.236867045$ |
4.823331565 |
\( -\frac{1528471962491}{4762800} a + \frac{15487901721163}{16669800} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -74 a - 403\) , \( 1047 a + 3491\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-74a-403\right){x}+1047a+3491$ |
| 2100.1-h4 |
2100.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{5} \cdot 7^{12} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
$0.043474108$ |
$2.118433522$ |
4.823331565 |
\( \frac{262658045258011031}{1134472500} a + \frac{658698037799409007}{1588261500} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -2054 a - 4003\) , \( 83055 a + 149651\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2054a-4003\right){x}+83055a+149651$ |
| 2100.1-i1 |
2100.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{2} \cdot 3 \cdot 5^{14} \cdot 7^{4} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.185396988$ |
$1.999009195$ |
3.881942125 |
\( -\frac{8011208557336231}{71777343750} a + \frac{638843712791107}{2050781250} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( -41 a - 99\) , \( 2045 a + 3630\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-41a-99\right){x}+2045a+3630$ |
| 2100.1-i2 |
2100.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3 \cdot 5^{5} \cdot 7 \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.185396988$ |
$15.99207356$ |
3.881942125 |
\( -\frac{1504064003}{42000} a + \frac{170920009}{1680} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( -11 a - 19\) , \( -13 a - 22\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-11a-19\right){x}-13a-22$ |
| 2100.1-i3 |
2100.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \cdot 3 \) |
$0.092698494$ |
$7.996036782$ |
3.881942125 |
\( \frac{15627032837}{437500} a + \frac{8631204643}{131250} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( -111 a - 199\) , \( 887 a + 1590\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-111a-199\right){x}+887a+1590$ |
| 2100.1-i4 |
2100.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{2} \cdot 3^{4} \cdot 5^{11} \cdot 7 \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.185396988$ |
$3.998018391$ |
3.881942125 |
\( \frac{97136568324554993}{16406250} a + \frac{521998745773314851}{49218750} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -1053 a + 2926\) , \( 5109 a - 14250\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-1053a+2926\right){x}+5109a-14250$ |
| 2100.1-j1 |
2100.1-j |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{32} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$9.936721178$ |
$0.185677287$ |
3.220936965 |
\( -\frac{187778242790732059201}{4984939585440150} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 596500 a - 1670201\) , \( -388919900 a + 1085729749\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(596500a-1670201\right){x}-388919900a+1085729749$ |
| 2100.1-j2 |
2100.1-j |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{32} \cdot 7^{4} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$4.968360589$ |
$0.185677287$ |
3.220936965 |
\( \frac{226523624554079}{269165039062500} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 6348 a + 11429\) , \( 18943501 a + 33940493\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(6348a+11429\right){x}+18943501a+33940493$ |
| 2100.1-j3 |
2100.1-j |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{32} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$0.621045073$ |
$0.742709148$ |
3.220936965 |
\( \frac{1023887723039}{928972800} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -1050 a + 2939\) , \( 20550 a - 57361\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-1050a+2939\right){x}+20550a-57361$ |
| 2100.1-j4 |
2100.1-j |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{16} \cdot 5^{8} \cdot 7^{4} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1.242090147$ |
$0.742709148$ |
3.220936965 |
\( \frac{135487869158881}{51438240000} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 5350 a - 14981\) , \( 192838 a - 538385\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(5350a-14981\right){x}+192838a-538385$ |
| 2100.1-j5 |
2100.1-j |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{16} \cdot 7^{8} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$2.484180294$ |
$0.742709148$ |
3.220936965 |
\( \frac{47595748626367201}{1215506250000} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 37750 a - 105701\) , \( -5902250 a + 16476799\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(37750a-105701\right){x}-5902250a+16476799$ |
| 2100.1-j6 |
2100.1-j |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{32} \cdot 5^{4} \cdot 7^{2} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$2.484180294$ |
$0.185677287$ |
3.220936965 |
\( \frac{378499465220294881}{120530818800} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 75350 a - 210981\) , \( 17130038 a - 47821985\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(75350a-210981\right){x}+17130038a-47821985$ |
| 2100.1-j7 |
2100.1-j |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{16} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$4.968360589$ |
$0.742709148$ |
3.220936965 |
\( \frac{191342053882402567201}{129708022500} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 600250 a - 1680701\) , \( -383879750 a + 1071659299\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(600250a-1680701\right){x}-383879750a+1071659299$ |
| 2100.1-j8 |
2100.1-j |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.484180294$ |
$0.742709148$ |
3.220936965 |
\( \frac{783736670177727068275201}{360150} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -9604002 a - 17287201\) , \( 24585599599 a + 44049119249\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-9604002a-17287201\right){x}+24585599599a+44049119249$ |
| 2100.1-k1 |
2100.1-k |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{10} \cdot 7^{10} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$2.237572304$ |
$0.398713942$ |
3.114933905 |
\( -\frac{16419455525957}{100842000000} a + \frac{10311987970957}{16807000000} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 1\) , \( 350 a + 729\) , \( -18319 a - 33077\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(350a+729\right){x}-18319a-33077$ |
| 2100.1-k2 |
2100.1-k |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{28} \cdot 3 \cdot 5^{5} \cdot 7^{5} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$4.475144608$ |
$1.594855770$ |
3.114933905 |
\( \frac{3093882437717}{2107392000} a + \frac{12110034291113}{2107392000} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 1\) , \( -290 a - 551\) , \( -3983 a - 7221\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-290a-551\right){x}-3983a-7221$ |
| 2100.1-l1 |
2100.1-l |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{5} \cdot 7^{3} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$1.131730221$ |
1.481782687 |
\( -\frac{29181164647}{211680000} a - \frac{5165151031}{21168000} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -67 a - 119\) , \( -1041 a - 1868\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-67a-119\right){x}-1041a-1868$ |
| 2100.1-l2 |
2100.1-l |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
2100.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{5} \cdot 7^{12} \) |
$2.77206$ |
$(-a+2), (-a), (-a+1), (a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.565865110$ |
1.481782687 |
\( -\frac{262658045258011031}{1134472500} a + \frac{1283024126450780563}{1985326875} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -1527 a - 3159\) , \( -26481 a - 50568\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-1527a-3159\right){x}-26481a-50568$ |
*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.
