| 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 |
| 120.1-a1 |
120.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{16} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1.178291182$ |
$2.911019061$ |
3.542517779 |
\( -\frac{27995042}{1171875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -80\) , \( 2400\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-80{x}+2400$ |
| 120.1-a2 |
120.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{20} \cdot 3^{16} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.356582364$ |
$2.911019061$ |
3.542517779 |
\( \frac{54607676}{32805} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 80\) , \( -80\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+80{x}-80$ |
| 120.1-a3 |
120.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.178291182$ |
$11.64407624$ |
3.542517779 |
\( \frac{3631696}{2025} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -20\) , \( 0\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-20{x}$ |
| 120.1-a4 |
120.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{8} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$2.356582364$ |
$11.64407624$ |
3.542517779 |
\( \frac{868327204}{5625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -200\) , \( 1152\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-200{x}+1152$ |
| 120.1-a5 |
120.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.589145591$ |
$5.822038123$ |
3.542517779 |
\( \frac{24918016}{45} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -15\) , \( -18\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-15{x}-18$ |
| 120.1-a6 |
120.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.178291182$ |
$11.64407624$ |
3.542517779 |
\( \frac{1770025017602}{75} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -3200\) , \( 70752\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-3200{x}+70752$ |
| 120.1-b1 |
120.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{16} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$2.911019061$ |
3.006487558 |
\( -\frac{27995042}{1171875} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -162 a - 616\) , \( 18578 a + 71960\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-162a-616\right){x}+18578a+71960$ |
| 120.1-b2 |
120.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{8} \cdot 3^{16} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$2.911019061$ |
3.006487558 |
\( \frac{54607676}{32805} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 158 a + 624\) , \( -312 a - 1200\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(158a+624\right){x}-312a-1200$ |
| 120.1-b3 |
120.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$11.64407624$ |
3.006487558 |
\( \frac{3631696}{2025} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -42 a - 151\) , \( -82 a - 310\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-42a-151\right){x}-82a-310$ |
| 120.1-b4 |
120.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$11.64407624$ |
3.006487558 |
\( \frac{868327204}{5625} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -402 a - 1546\) , \( 8270 a + 32036\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-402a-1546\right){x}+8270a+32036$ |
| 120.1-b5 |
120.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$5.822038123$ |
3.006487558 |
\( \frac{24918016}{45} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -490 a - 1896\) , \( -12426 a - 48126\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-490a-1896\right){x}-12426a-48126$ |
| 120.1-b6 |
120.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$11.64407624$ |
3.006487558 |
\( \frac{1770025017602}{75} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -6402 a - 24796\) , \( 544370 a + 2108336\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-6402a-24796\right){x}+544370a+2108336$ |
| 120.1-c1 |
120.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{16} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$6.405194720$ |
$0.805807860$ |
2.665312910 |
\( -\frac{27995042}{1171875} \) |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -160 a - 621\) , \( -19060 a - 73821\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-160a-621\right){x}-19060a-73821$ |
| 120.1-c2 |
120.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{8} \cdot 3^{16} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.800649340$ |
$3.223231443$ |
2.665312910 |
\( \frac{54607676}{32805} \) |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 160 a + 619\) , \( 790 a + 3059\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(160a+619\right){x}+790a+3059$ |
| 120.1-c3 |
120.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.601298680$ |
$12.89292577$ |
2.665312910 |
\( \frac{3631696}{2025} \) |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -40 a - 156\) , \( -40 a - 156\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-40a-156\right){x}-40a-156$ |
| 120.1-c4 |
120.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$3.202597360$ |
$3.223231443$ |
2.665312910 |
\( \frac{868327204}{5625} \) |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -400 a - 1551\) , \( -9472 a - 36687\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-400a-1551\right){x}-9472a-36687$ |
| 120.1-c5 |
120.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.800649340$ |
$25.78585154$ |
2.665312910 |
\( \frac{24918016}{45} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -490 a - 1896\) , \( 12426 a + 48126\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-490a-1896\right){x}+12426a+48126$ |
| 120.1-c6 |
120.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$6.405194720$ |
$0.805807860$ |
2.665312910 |
\( \frac{1770025017602}{75} \) |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -6400 a - 24801\) , \( -563572 a - 2182737\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-6400a-24801\right){x}-563572a-2182737$ |
| 120.1-d1 |
120.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$9.351168041$ |
2.414461206 |
\( \frac{240448}{225} a - \frac{916324}{225} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 816 a - 3160\) , \( -27744 a + 107452\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(816a-3160\right){x}-27744a+107452$ |
| 120.1-d2 |
120.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{23} \cdot 3^{4} \cdot 5 \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2 \) |
$1$ |
$9.351168041$ |
2.414461206 |
\( -\frac{37004743881031121}{45} a + \frac{28663751356423345}{9} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 214656 a - 831360\) , \( -106608672 a + 412893612\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(214656a-831360\right){x}-106608672a+412893612$ |
| 120.1-d3 |
120.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$1$ |
$9.351168041$ |
2.414461206 |
\( -\frac{4172187058}{405} a + \frac{16164759608}{405} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 13416 a - 51960\) , \( -1669104 a + 6464412\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(13416a-51960\right){x}-1669104a+6464412$ |
| 120.1-d4 |
120.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{23} \cdot 3^{16} \cdot 5 \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2 \) |
$1$ |
$2.337792010$ |
2.414461206 |
\( \frac{821726855209}{32805} a + \frac{636570526663}{6561} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 13776 a - 53360\) , \( -1574976 a + 6099852\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(13776a-53360\right){x}-1574976a+6099852$ |
| 120.1-e1 |
120.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.385194531$ |
$9.351168041$ |
3.720149013 |
\( -\frac{240448}{225} a - \frac{916324}{225} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -159 a + 636\) , \( 11156 a - 43178\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-159a+636\right){x}+11156a-43178$ |
| 120.1-e2 |
120.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{11} \cdot 3^{16} \cdot 5 \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.540778126$ |
$2.337792010$ |
3.720149013 |
\( -\frac{821726855209}{32805} a + \frac{636570526663}{6561} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 47001 a - 182014\) , \( 10886142 a - 42161818\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(47001a-182014\right){x}+10886142a-42161818$ |
| 120.1-e3 |
120.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.770389063$ |
$9.351168041$ |
3.720149013 |
\( \frac{4172187058}{405} a + \frac{16164759608}{405} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 2991 a - 11564\) , \( 162556 a - 629548\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(2991a-11564\right){x}+162556a-629548$ |
| 120.1-e4 |
120.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{11} \cdot 3^{4} \cdot 5 \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.540778126$ |
$9.351168041$ |
3.720149013 |
\( \frac{37004743881031121}{45} a + \frac{28663751356423345}{9} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 9381 a - 36314\) , \( -780230 a + 3021842\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(9381a-36314\right){x}-780230a+3021842$ |
| 120.1-f1 |
120.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$15.64258266$ |
4.038897476 |
\( \frac{21296}{15} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 6 a + 35\) , \( 14 a + 62\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(6a+35\right){x}+14a+62$ |
| 120.1-f2 |
120.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$15.64258266$ |
4.038897476 |
\( \frac{470596}{225} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -34 a - 120\) , \( 60 a + 240\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-34a-120\right){x}+60a+240$ |
| 120.1-f3 |
120.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$3.910645665$ |
4.038897476 |
\( \frac{136835858}{1875} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -274 a - 1050\) , \( -4956 a - 19188\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-274a-1050\right){x}-4956a-19188$ |
| 120.1-f4 |
120.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$15.64258266$ |
4.038897476 |
\( \frac{546718898}{405} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -434 a - 1670\) , \( 9340 a + 36180\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-434a-1670\right){x}+9340a+36180$ |
| 120.1-g1 |
120.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$12.39841016$ |
3.201255738 |
\( \frac{21296}{15} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 0\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+4{x}$ |
| 120.1-g2 |
120.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$12.39841016$ |
3.201255738 |
\( \frac{470596}{225} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -16\) , \( -16\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-16{x}-16$ |
| 120.1-g3 |
120.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{8} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$12.39841016$ |
3.201255738 |
\( \frac{136835858}{1875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -136\) , \( 560\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-136{x}+560$ |
| 120.1-g4 |
120.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$3.099602540$ |
3.201255738 |
\( \frac{546718898}{405} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -216\) , \( -1296\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-216{x}-1296$ |
| 120.1-h1 |
120.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.497536285$ |
$12.39841016$ |
2.396998314 |
\( \frac{21296}{15} \) |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 8 a + 30\) , \( 8 a + 30\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(8a+30\right){x}+8a+30$ |
| 120.1-h2 |
120.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.748768142$ |
$12.39841016$ |
2.396998314 |
\( \frac{470596}{225} \) |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -32 a - 125\) , \( -158 a - 613\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-32a-125\right){x}-158a-613$ |
| 120.1-h3 |
120.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.374384071$ |
$12.39841016$ |
2.396998314 |
\( \frac{136835858}{1875} \) |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -272 a - 1055\) , \( 4138 a + 16025\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-272a-1055\right){x}+4138a+16025$ |
| 120.1-h4 |
120.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.497536285$ |
$3.099602540$ |
2.396998314 |
\( \frac{546718898}{405} \) |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -432 a - 1675\) , \( -10638 a - 41203\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-432a-1675\right){x}-10638a-41203$ |
| 120.1-i1 |
120.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.222905284$ |
$15.64258266$ |
1.800583185 |
\( \frac{21296}{15} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 4\) , \( 0\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+4{x}$ |
| 120.1-i2 |
120.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.445810569$ |
$15.64258266$ |
1.800583185 |
\( \frac{470596}{225} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -16\) , \( 16\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-16{x}+16$ |
| 120.1-i3 |
120.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{8} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.891621139$ |
$3.910645665$ |
1.800583185 |
\( \frac{136835858}{1875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -136\) , \( -560\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-136{x}-560$ |
| 120.1-i4 |
120.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.222905284$ |
$15.64258266$ |
1.800583185 |
\( \frac{546718898}{405} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -216\) , \( 1296\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-216{x}+1296$ |
| 120.1-j1 |
120.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.789560261$ |
$4.903872227$ |
3.998883850 |
\( \frac{240448}{225} a - \frac{916324}{225} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 816 a - 3160\) , \( 27744 a - 107452\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(816a-3160\right){x}+27744a-107452$ |
| 120.1-j2 |
120.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{23} \cdot 3^{4} \cdot 5 \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$3.158241046$ |
$1.225968056$ |
3.998883850 |
\( -\frac{37004743881031121}{45} a + \frac{28663751356423345}{9} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 214656 a - 831360\) , \( 106608672 a - 412893612\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(214656a-831360\right){x}+106608672a-412893612$ |
| 120.1-j3 |
120.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.579120523$ |
$4.903872227$ |
3.998883850 |
\( -\frac{4172187058}{405} a + \frac{16164759608}{405} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 13416 a - 51960\) , \( 1669104 a - 6464412\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(13416a-51960\right){x}+1669104a-6464412$ |
| 120.1-j4 |
120.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{23} \cdot 3^{16} \cdot 5 \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$3.158241046$ |
$4.903872227$ |
3.998883850 |
\( \frac{821726855209}{32805} a + \frac{636570526663}{6561} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 13776 a - 53360\) , \( 1574976 a - 6099852\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(13776a-53360\right){x}+1574976a-6099852$ |
| 120.1-k1 |
120.1-k |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$4.903872227$ |
1.266174364 |
\( -\frac{240448}{225} a - \frac{916324}{225} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -158 a + 639\) , \( -11005 a + 42663\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-158a+639\right){x}-11005a+42663$ |
| 120.1-k2 |
120.1-k |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{11} \cdot 3^{16} \cdot 5 \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$4.903872227$ |
1.266174364 |
\( -\frac{821726855209}{32805} a + \frac{636570526663}{6561} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 47002 a - 182011\) , \( -10927161 a + 42320753\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(47002a-182011\right){x}-10927161a+42320753$ |
| 120.1-k3 |
120.1-k |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$1$ |
$4.903872227$ |
1.266174364 |
\( \frac{4172187058}{405} a + \frac{16164759608}{405} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 2992 a - 11561\) , \( -165155 a + 639683\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2992a-11561\right){x}-165155a+639683$ |
| 120.1-k4 |
120.1-k |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
120.1 |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{11} \cdot 3^{4} \cdot 5 \) |
$2.29092$ |
$(2,a+1), (3,a), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2 \) |
$1$ |
$1.225968056$ |
1.266174364 |
\( \frac{37004743881031121}{45} a + \frac{28663751356423345}{9} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 9382 a - 36311\) , \( 772051 a - 2990107\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(9382a-36311\right){x}+772051a-2990107$ |
*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.
