| 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 |
| 91875.2-a1 |
91875.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{14} \cdot 7^{8} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.457805429$ |
$0.278729474$ |
2.357508056 |
\( \frac{590589719}{972405} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 437\) , \( -4594\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+437{x}-4594$ |
| 91875.2-a2 |
91875.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{16} \cdot 7^{4} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.915610858$ |
$0.557458948$ |
2.357508056 |
\( \frac{47045881}{11025} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -188\) , \( -844\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-188{x}-844$ |
| 91875.2-a3 |
91875.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{14} \cdot 7^{2} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.831221716$ |
$1.114917897$ |
2.357508056 |
\( \frac{1771561}{105} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -63\) , \( 156\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-63{x}+156$ |
| 91875.2-a4 |
91875.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{20} \cdot 7^{2} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.831221716$ |
$0.278729474$ |
2.357508056 |
\( \frac{157551496201}{13125} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -2813\) , \( -58594\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2813{x}-58594$ |
| 91875.2-b1 |
91875.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{12} \cdot 5^{18} \cdot 7^{4} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.254903327$ |
$0.218679136$ |
2.534994241 |
\( \frac{300763}{35721} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -175 a\) , \( 12750\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}-175a{x}+12750$ |
| 91875.2-b2 |
91875.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{6} \cdot 5^{18} \cdot 7^{2} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.509806654$ |
$0.437358273$ |
2.534994241 |
\( \frac{5177717}{189} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 450 a\) , \( 3375\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+450a{x}+3375$ |
| 91875.2-c1 |
91875.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3 \cdot 5^{12} \cdot 7^{20} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$0.472574897$ |
$0.086207692$ |
3.010689818 |
\( \frac{1866593950165482334}{99698791708803} a - \frac{1072967896631695607}{99698791708803} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -3725 a - 8026\) , \( -245000 a - 234525\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-3725a-8026\right){x}-245000a-234525$ |
| 91875.2-c2 |
91875.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{12} \cdot 7^{16} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{9} \) |
$0.236287448$ |
$0.172415385$ |
3.010689818 |
\( -\frac{4354703137}{17294403} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -850 a + 849\) , \( -26275\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-850a+849\right){x}-26275$ |
| 91875.2-c3 |
91875.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{12} \cdot 7^{2} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.472574897$ |
$1.379323087$ |
3.010689818 |
\( \frac{103823}{63} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( 25 a - 26\) , \( -25\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(25a-26\right){x}-25$ |
| 91875.2-c4 |
91875.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{12} \cdot 7^{4} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.945149794$ |
$0.689661543$ |
3.010689818 |
\( \frac{7189057}{3969} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -100 a + 99\) , \( -25\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-100a+99\right){x}-25$ |
| 91875.2-c5 |
91875.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3 \cdot 5^{12} \cdot 7^{20} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$0.472574897$ |
$0.086207692$ |
3.010689818 |
\( -\frac{1866593950165482334}{99698791708803} a + \frac{793626053533786727}{99698791708803} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( 8025 a + 3724\) , \( 245000 a - 479525\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(8025a+3724\right){x}+245000a-479525$ |
| 91875.2-c6 |
91875.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{16} \cdot 5^{12} \cdot 7^{2} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.890299589$ |
$0.344830771$ |
3.010689818 |
\( \frac{6570725617}{45927} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -975 a + 974\) , \( 12225\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-975a+974\right){x}+12225$ |
| 91875.2-c7 |
91875.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{12} \cdot 7^{8} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.472574897$ |
$0.344830771$ |
3.010689818 |
\( \frac{13027640977}{21609} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -1225 a + 1224\) , \( -15775\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-1225a+1224\right){x}-15775$ |
| 91875.2-c8 |
91875.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{12} \cdot 7^{4} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.945149794$ |
$0.172415385$ |
3.010689818 |
\( \frac{53297461115137}{147} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -19600 a + 19599\) , \( -1044775\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-19600a+19599\right){x}-1044775$ |
| 91875.2-d1 |
91875.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{14} \cdot 7^{4} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.609965203$ |
1.408654298 |
\( \frac{422992079}{735} a - \frac{396496799}{735} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( -9 a + 391\) , \( -3256 a + 1520\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-9a+391\right){x}-3256a+1520$ |
| 91875.2-d2 |
91875.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{16} \cdot 7^{8} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.304982601$ |
1.408654298 |
\( \frac{235781279}{540225} a + \frac{253696}{245} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( -134 a + 516\) , \( -2131 a + 2770\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-134a+516\right){x}-2131a+2770$ |
| 91875.2-d3 |
91875.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{20} \cdot 7^{10} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.152491300$ |
1.408654298 |
\( -\frac{7585530915997}{10809001875} a + \frac{27557731187317}{10809001875} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( 991 a - 2484\) , \( -21631 a + 24145\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(991a-2484\right){x}-21631a+24145$ |
| 91875.2-d4 |
91875.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3 \cdot 5^{16} \cdot 7^{17} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.076245650$ |
1.408654298 |
\( \frac{86328897673234900807}{2492469792720075} a + \frac{9812650993650932108}{498493958544015} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( 4116 a - 18109\) , \( 281494 a - 900855\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(4116a-18109\right){x}+281494a-900855$ |
| 91875.2-d5 |
91875.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{14} \cdot 7^{10} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.152491300$ |
1.408654298 |
\( -\frac{303198851501317}{2334744405} a + \frac{93029905689517}{2334744405} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( -3259 a + 5516\) , \( 87869 a + 60895\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-3259a+5516\right){x}+87869a+60895$ |
| 91875.2-d6 |
91875.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3 \cdot 5^{28} \cdot 7^{5} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.076245650$ |
1.408654298 |
\( -\frac{5843225847599263}{2813671875} a + \frac{1325318676913732}{562734375} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( 15866 a - 34859\) , \( -1529256 a + 2299145\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(15866a-34859\right){x}-1529256a+2299145$ |
| 91875.2-e1 |
91875.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{14} \cdot 7^{10} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.152491300$ |
1.408654298 |
\( \frac{303198851501317}{2334744405} a - \frac{4670421018040}{51883209} \) |
\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 2256 a - 5516\) , \( -87870 a + 148764\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(2256a-5516\right){x}-87870a+148764$ |
| 91875.2-e2 |
91875.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{16} \cdot 7^{8} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.304982601$ |
1.408654298 |
\( -\frac{235781279}{540225} a + \frac{795180959}{540225} \) |
\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 381 a - 516\) , \( 2130 a + 639\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(381a-516\right){x}+2130a+639$ |
| 91875.2-e3 |
91875.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{20} \cdot 7^{10} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.152491300$ |
1.408654298 |
\( \frac{7585530915997}{10809001875} a + \frac{1331480018088}{720600125} \) |
\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -1494 a + 2484\) , \( 21630 a + 2514\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-1494a+2484\right){x}+21630a+2514$ |
| 91875.2-e4 |
91875.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{14} \cdot 7^{4} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.609965203$ |
1.408654298 |
\( -\frac{422992079}{735} a + 36048 \) |
\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 381 a - 391\) , \( 3255 a - 1736\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(381a-391\right){x}+3255a-1736$ |
| 91875.2-e5 |
91875.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3 \cdot 5^{16} \cdot 7^{17} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.076245650$ |
1.408654298 |
\( -\frac{86328897673234900807}{2492469792720075} a + \frac{135392152641489561347}{2492469792720075} \) |
\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -13994 a + 18109\) , \( -281495 a - 619361\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-13994a+18109\right){x}-281495a-619361$ |
| 91875.2-e6 |
91875.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3 \cdot 5^{28} \cdot 7^{5} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.076245650$ |
1.408654298 |
\( \frac{5843225847599263}{2813671875} a + \frac{783367536969397}{2813671875} \) |
\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -18994 a + 34859\) , \( 1529255 a + 769889\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-18994a+34859\right){x}+1529255a+769889$ |
| 91875.2-f1 |
91875.2-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{12} \cdot 5^{6} \cdot 7^{4} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.042300511$ |
$1.093395684$ |
5.127003008 |
\( \frac{300763}{35721} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 7 a - 7\) , \( 102\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(7a-7\right){x}+102$ |
| 91875.2-f2 |
91875.2-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
91875.2 |
\( 3 \cdot 5^{4} \cdot 7^{2} \) |
\( 3^{6} \cdot 5^{6} \cdot 7^{2} \) |
$2.69463$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.169202044$ |
$2.186791368$ |
5.127003008 |
\( \frac{5177717}{189} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -18 a + 18\) , \( 27\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-18a+18\right){x}+27$ |
*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.
