| 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 |
| 14.1-a1 |
14.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 7^{14} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$3.507207167$ |
$0.875417135$ |
2.397020788 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -8143\) , \( -225093\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2-8143{x}-225093$ |
| 14.1-a2 |
14.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{4} \cdot 7^{14} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$0.389689685$ |
$7.878754216$ |
2.397020788 |
\( -\frac{15625}{28} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 187\) , \( -281\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2+187{x}-281$ |
| 14.1-a3 |
14.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{12} \cdot 7^{18} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$1.169069055$ |
$2.626251405$ |
2.397020788 |
\( \frac{9938375}{21952} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 432\) , \( -4544\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2+432{x}-4544$ |
| 14.1-a4 |
14.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{6} \cdot 7^{24} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$2.338138111$ |
$1.313125702$ |
2.397020788 |
\( \frac{4956477625}{941192} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -1528\) , \( -8856\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2-1528{x}-8856$ |
| 14.1-a5 |
14.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{2} \cdot 7^{16} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$0.779379370$ |
$3.939377108$ |
2.397020788 |
\( \frac{128787625}{98} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -303\) , \( 8245\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2-303{x}+8245$ |
| 14.1-a6 |
14.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{18} \cdot 7^{16} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$7.014414334$ |
$0.437708567$ |
2.397020788 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -133583\) , \( -17711429\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2-133583{x}-17711429$ |
| 14.1-b1 |
14.1-b |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$4$ |
\( 2^{2} \) |
$1$ |
$0.875417135$ |
0.341727858 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -171\) , \( -874\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-171{x}-874$ |
| 14.1-b2 |
14.1-b |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{4} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$4$ |
\( 2^{2} \) |
$1$ |
$7.878754216$ |
0.341727858 |
\( -\frac{15625}{28} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( 0\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-{x}$ |
| 14.1-b3 |
14.1-b |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{12} \cdot 7^{6} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.626251405$ |
0.341727858 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 4\) , \( -6\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3+4{x}-6$ |
| 14.1-b4 |
14.1-b |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{6} \cdot 7^{12} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$4$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$1.313125702$ |
0.341727858 |
\( \frac{4956477625}{941192} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -36\) , \( -70\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-36{x}-70$ |
| 14.1-b5 |
14.1-b |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{2} \cdot 7^{4} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$4$ |
\( 2^{3} \) |
$1$ |
$3.939377108$ |
0.341727858 |
\( \frac{128787625}{98} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -11\) , \( 12\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-11{x}+12$ |
| 14.1-b6 |
14.1-b |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{18} \cdot 7^{4} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$4$ |
\( 2^{3} \) |
$1$ |
$0.437708567$ |
0.341727858 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -2731\) , \( -55146\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-2731{x}-55146$ |
| 14.1-c1 |
14.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$6.531492681$ |
$0.875417135$ |
4.463986012 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 77\) , \( 1659\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+77{x}+1659$ |
| 14.1-c2 |
14.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{4} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$0.725721409$ |
$7.878754216$ |
4.463986012 |
\( -\frac{15625}{28} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 247\) , \( -745\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+247{x}-745$ |
| 14.1-c3 |
14.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{12} \cdot 7^{6} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$2.177164227$ |
$2.626251405$ |
4.463986012 |
\( \frac{9938375}{21952} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 252\) , \( -784\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+252{x}-784$ |
| 14.1-c4 |
14.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{6} \cdot 7^{12} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$4.354328454$ |
$1.313125702$ |
4.463986012 |
\( \frac{4956477625}{941192} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 212\) , \( -360\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+212{x}-360$ |
| 14.1-c5 |
14.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{2} \cdot 7^{4} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$1.451442818$ |
$3.939377108$ |
4.463986012 |
\( \frac{128787625}{98} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 237\) , \( -667\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+237{x}-667$ |
| 14.1-c6 |
14.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{18} \cdot 7^{4} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$13.06298536$ |
$0.437708567$ |
4.463986012 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -2483\) , \( 78971\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2-2483{x}+78971$ |
| 14.1-d1 |
14.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 7^{14} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$36$ |
\( 2^{2} \) |
$1$ |
$0.875417135$ |
3.075550725 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -8355\) , \( 291341\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-8355{x}+291341$ |
| 14.1-d2 |
14.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{4} \cdot 7^{14} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$7.878754216$ |
3.075550725 |
\( -\frac{15625}{28} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -25\) , \( -111\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-25{x}-111$ |
| 14.1-d3 |
14.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{12} \cdot 7^{18} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.626251405$ |
3.075550725 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( 220\) , \( 2192\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2+220{x}+2192$ |
| 14.1-d4 |
14.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{6} \cdot 7^{24} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$1.313125702$ |
3.075550725 |
\( \frac{4956477625}{941192} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -1740\) , \( 22184\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-1740{x}+22184$ |
| 14.1-d5 |
14.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{2} \cdot 7^{16} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{3} \) |
$1$ |
$3.939377108$ |
3.075550725 |
\( \frac{128787625}{98} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -515\) , \( -4717\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-515{x}-4717$ |
| 14.1-d6 |
14.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{18} \cdot 7^{16} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$36$ |
\( 2^{3} \) |
$1$ |
$0.437708567$ |
3.075550725 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -133795\) , \( 18781197\bigr] \) |
${y}^2+{x}{y}={x}^3+{x}^2-133795{x}+18781197$ |
| 14.1-e1 |
14.1-e |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 3^{12} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1.316293928$ |
$0.875417135$ |
8.096657497 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -1305\) , \( -10449\bigr] \) |
${y}^2+a{x}{y}={x}^3-1305{x}-10449$ |
| 14.1-e2 |
14.1-e |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{4} \cdot 3^{12} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \) |
$1.316293928$ |
$7.878754216$ |
8.096657497 |
\( -\frac{15625}{28} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 225\) , \( -621\bigr] \) |
${y}^2+a{x}{y}={x}^3+225{x}-621$ |
| 14.1-e3 |
14.1-e |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{6} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$1.316293928$ |
$2.626251405$ |
8.096657497 |
\( \frac{9938375}{21952} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 270\) , \( -1188\bigr] \) |
${y}^2+a{x}{y}={x}^3+270{x}-1188$ |
| 14.1-e4 |
14.1-e |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{6} \cdot 3^{12} \cdot 7^{12} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \cdot 3 \) |
$1.316293928$ |
$1.313125702$ |
8.096657497 |
\( \frac{4956477625}{941192} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -90\) , \( 324\bigr] \) |
${y}^2+a{x}{y}={x}^3-90{x}+324$ |
| 14.1-e5 |
14.1-e |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{2} \cdot 3^{12} \cdot 7^{4} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$1.316293928$ |
$3.939377108$ |
8.096657497 |
\( \frac{128787625}{98} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 135\) , \( 513\bigr] \) |
${y}^2+a{x}{y}={x}^3+135{x}+513$ |
| 14.1-e6 |
14.1-e |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{18} \cdot 3^{12} \cdot 7^{4} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \cdot 3^{2} \) |
$1.316293928$ |
$0.437708567$ |
8.096657497 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -24345\) , \( -1268433\bigr] \) |
${y}^2+a{x}{y}={x}^3-24345{x}-1268433$ |
| 14.1-f1 |
14.1-f |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 5^{12} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$2.054541211$ |
$0.875417135$ |
6.318845715 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -3998\) , \( 142753\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2-3998{x}+142753$ |
| 14.1-f2 |
14.1-f |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{4} \cdot 5^{12} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \) |
$2.054541211$ |
$7.878754216$ |
6.318845715 |
\( -\frac{15625}{28} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 252\) , \( -497\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+252{x}-497$ |
| 14.1-f3 |
14.1-f |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{12} \cdot 5^{12} \cdot 7^{6} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$0.684847070$ |
$2.626251405$ |
6.318845715 |
\( \frac{9938375}{21952} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 377\) , \( -747\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+377{x}-747$ |
| 14.1-f4 |
14.1-f |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{6} \cdot 5^{12} \cdot 7^{12} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{3} \cdot 3^{2} \) |
$0.342423535$ |
$1.313125702$ |
6.318845715 |
\( \frac{4956477625}{941192} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -623\) , \( 15253\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2-623{x}+15253$ |
| 14.1-f5 |
14.1-f |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{2} \cdot 5^{12} \cdot 7^{4} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{3} \) |
$1.027270605$ |
$3.939377108$ |
6.318845715 |
\( \frac{128787625}{98} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 2\) , \( 3\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+2{x}+3$ |
| 14.1-f6 |
14.1-f |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{18} \cdot 5^{12} \cdot 7^{4} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{3} \cdot 3^{2} \) |
$1.027270605$ |
$0.437708567$ |
6.318845715 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -67998\) , \( 7438753\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2-67998{x}+7438753$ |
| 14.1-g1 |
14.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 5^{12} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.875417135$ |
6.151101451 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -4263\) , \( -109219\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3+{x}^2-4263{x}-109219$ |
| 14.1-g2 |
14.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{4} \cdot 5^{12} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{3} \) |
$1$ |
$7.878754216$ |
6.151101451 |
\( -\frac{15625}{28} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -13\) , \( 31\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3+{x}^2-13{x}+31$ |
| 14.1-g3 |
14.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{12} \cdot 5^{12} \cdot 7^{6} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$2.626251405$ |
6.151101451 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 112\) , \( -719\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3+{x}^2+112{x}-719$ |
| 14.1-g4 |
14.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{6} \cdot 5^{12} \cdot 7^{12} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$16$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.313125702$ |
6.151101451 |
\( \frac{4956477625}{941192} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -888\) , \( -8719\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3+{x}^2-888{x}-8719$ |
| 14.1-g5 |
14.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{2} \cdot 5^{12} \cdot 7^{4} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$16$ |
\( 2^{2} \) |
$1$ |
$3.939377108$ |
6.151101451 |
\( \frac{128787625}{98} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -263\) , \( 1531\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3+{x}^2-263{x}+1531$ |
| 14.1-g6 |
14.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{18} \cdot 5^{12} \cdot 7^{4} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$16$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.437708567$ |
6.151101451 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -68263\) , \( -6893219\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3+{x}^2-68263{x}-6893219$ |
| 14.1-h1 |
14.1-h |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 3^{12} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$32.38901229$ |
$0.875417135$ |
11.06822780 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -1535\) , \( 23591\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-{x}^2-1535{x}+23591$ |
| 14.1-h2 |
14.1-h |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{4} \cdot 3^{12} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2^{3} \) |
$3.598779144$ |
$7.878754216$ |
11.06822780 |
\( -\frac{15625}{28} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -5\) , \( -7\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-{x}^2-5{x}-7$ |
| 14.1-h3 |
14.1-h |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{6} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$10.79633743$ |
$2.626251405$ |
11.06822780 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 40\) , \( 155\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-{x}^2+40{x}+155$ |
| 14.1-h4 |
14.1-h |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{6} \cdot 3^{12} \cdot 7^{12} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$4$ |
\( 2^{3} \cdot 3^{2} \) |
$5.398168716$ |
$1.313125702$ |
11.06822780 |
\( \frac{4956477625}{941192} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -320\) , \( 1883\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-{x}^2-320{x}+1883$ |
| 14.1-h5 |
14.1-h |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{2} \cdot 3^{12} \cdot 7^{4} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$4$ |
\( 2^{3} \) |
$1.799389572$ |
$3.939377108$ |
11.06822780 |
\( \frac{128787625}{98} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -95\) , \( -331\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-{x}^2-95{x}-331$ |
| 14.1-h6 |
14.1-h |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{18} \cdot 3^{12} \cdot 7^{4} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$4$ |
\( 2^{3} \cdot 3^{2} \) |
$16.19450614$ |
$0.437708567$ |
11.06822780 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -24575\) , \( 1488935\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-{x}^2-24575{x}+1488935$ |
| 15.1-a1 |
15.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
15.1 |
\( 3 \cdot 5 \) |
\( 3^{32} \cdot 5^{2} \cdot 7^{12} \) |
$3.60401$ |
$(3,a), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$7.392952009$ |
$0.558925428$ |
3.226020275 |
\( -\frac{147281603041}{215233605} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -5091\) , \( -237810\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2-5091{x}-237810$ |
| 15.1-a2 |
15.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
15.1 |
\( 3 \cdot 5 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{12} \) |
$3.60401$ |
$(3,a), (5,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1.848238002$ |
$8.942806850$ |
3.226020275 |
\( -\frac{1}{15} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 299\) , \( -650\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2+299{x}-650$ |
*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.
