| 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 |
| 23548.6-a1 |
23548.6-a |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{12} \cdot 7^{3} \cdot 29^{4} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.2 |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.158249788$ |
$0.955387510$ |
2.742931213 |
\( \frac{365388073}{1568} a - \frac{898709785}{3136} \) |
\( \bigl[1\) , \( a\) , \( a + 1\) , \( -45 a - 113\) , \( 248 a + 424\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-45a-113\right){x}+248a+424$ |
| 23548.6-a2 |
23548.6-a |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{4} \cdot 7 \cdot 29^{4} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.474749366$ |
$2.866162532$ |
2.742931213 |
\( \frac{16967}{14} a - \frac{108695}{28} \) |
\( \bigl[1\) , \( a\) , \( a + 1\) , \( -5 a + 2\) , \( -5 a + 12\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-5a+2\right){x}-5a+12$ |
| 23548.6-b1 |
23548.6-b |
$4$ |
$6$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{9} \cdot 7 \cdot 29^{8} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.745433087$ |
3.380966687 |
\( -\frac{49280957}{376768} a + \frac{1066411}{188384} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( -23 a + 39\) , \( 67 a - 333\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-23a+39\right){x}+67a-333$ |
| 23548.6-b2 |
23548.6-b |
$4$ |
$6$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{3} \cdot 7^{3} \cdot 29^{12} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.248477695$ |
3.380966687 |
\( \frac{14447848488359}{116585370916} a + \frac{228512606085}{29146342729} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( 207 a - 351\) , \( -2075 a + 8857\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(207a-351\right){x}-2075a+8857$ |
| 23548.6-b3 |
23548.6-b |
$4$ |
$6$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{9} \cdot 7^{2} \cdot 29^{7} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.745433087$ |
3.380966687 |
\( \frac{97185033}{12992} a + \frac{37432453}{12992} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -97 a + 33\) , \( 267 a - 429\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-97a+33\right){x}+267a-429$ |
| 23548.6-b4 |
23548.6-b |
$4$ |
$6$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{3} \cdot 7^{6} \cdot 29^{9} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.248477695$ |
3.380966687 |
\( -\frac{6746318072769}{33461708} a + \frac{5064418945513}{33461708} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -1347 a - 407\) , \( -28823 a + 13283\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1347a-407\right){x}-28823a+13283$ |
| 23548.6-c1 |
23548.6-c |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{24} \cdot 7^{3} \cdot 29^{8} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.2 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.105295815$ |
2.865461566 |
\( \frac{165663522483769}{12845056} a - \frac{173212885499459}{12845056} \) |
\( \bigl[1\) , \( 1\) , \( a\) , \( 3581 a + 18427\) , \( 820722 a - 791813\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(3581a+18427\right){x}+820722a-791813$ |
| 23548.6-c2 |
23548.6-c |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{24} \cdot 7 \cdot 29^{8} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$1$ |
$0.315887445$ |
2.865461566 |
\( -\frac{7943329}{1835008} a + \frac{12416947}{917504} \) |
\( \bigl[1\) , \( 1\) , \( a\) , \( -54 a + 92\) , \( 2665 a - 3538\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-54a+92\right){x}+2665a-3538$ |
| 23548.6-d1 |
23548.6-d |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{12} \cdot 7^{3} \cdot 29^{10} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.177411006$ |
1.609321385 |
\( \frac{365388073}{1568} a - \frac{898709785}{3136} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( 2290 a + 1852\) , \( -31452 a + 116264\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(2290a+1852\right){x}-31452a+116264$ |
| 23548.6-d2 |
23548.6-d |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{4} \cdot 7 \cdot 29^{10} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.532233020$ |
1.609321385 |
\( \frac{16967}{14} a - \frac{108695}{28} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( 130 a - 153\) , \( -916 a + 533\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(130a-153\right){x}-916a+533$ |
| 23548.6-e1 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{36} \cdot 7^{2} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$1$ |
$0.162560880$ |
2.211920557 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( 1364 a + 3921\) , \( 87375 a - 116209\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(1364a+3921\right){x}+87375a-116209$ |
| 23548.6-e2 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{15} \cdot 7^{3} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.487682642$ |
2.211920557 |
\( \frac{10538337875}{200704} a - \frac{36575498625}{200704} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( -358 a + 18\) , \( 2877 a - 2597\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-358a+18\right){x}+2877a-2597$ |
| 23548.6-e3 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{15} \cdot 7^{3} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.487682642$ |
2.211920557 |
\( -\frac{10538337875}{200704} a - \frac{13018580375}{100352} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( 181 a - 532\) , \( 2365 a - 4226\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(181a-532\right){x}+2365a-4226$ |
| 23548.6-e4 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{5} \cdot 7 \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.463047928$ |
2.211920557 |
\( \frac{831875}{112} a - \frac{499125}{56} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( -9 a - 27\) , \( 45 a + 37\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(-9a-27\right){x}+45a+37$ |
| 23548.6-e5 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{5} \cdot 7 \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.463047928$ |
2.211920557 |
\( -\frac{831875}{112} a - \frac{166375}{112} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( -8 a - 27\) , \( -43 a - 59\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-8a-27\right){x}-43a-59$ |
| 23548.6-e6 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{4} \cdot 7^{2} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.463047928$ |
2.211920557 |
\( -\frac{15625}{28} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( 4 a + 11\) , \( -25 a + 33\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(4a+11\right){x}-25a+33$ |
| 23548.6-e7 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{12} \cdot 7^{6} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.487682642$ |
2.211920557 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -36 a - 104\) , \( 575 a - 765\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-36a-104\right){x}+575a-765$ |
| 23548.6-e8 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{45} \cdot 7 \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.162560880$ |
2.211920557 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 1002 a - 277\) , \( 17577 a - 16261\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(1002a-277\right){x}+17577a-16261$ |
| 23548.6-e9 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{45} \cdot 7 \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.162560880$ |
2.211920557 |
\( -\frac{70135314719125}{481036337152} a + \frac{179276652423375}{240518168576} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( -619 a + 1373\) , \( 11835 a - 23465\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(-619a+1373\right){x}+11835a-23465$ |
| 23548.6-e10 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{6} \cdot 7^{12} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.243841321$ |
2.211920557 |
\( \frac{4956477625}{941192} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( 284 a + 816\) , \( 6975 a - 9277\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(284a+816\right){x}+6975a-9277$ |
| 23548.6-e11 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{2} \cdot 7^{4} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.731523964$ |
2.211920557 |
\( \frac{128787625}{98} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( 84 a + 241\) , \( -1225 a + 1629\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(84a+241\right){x}-1225a+1629$ |
| 23548.6-e12 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{18} \cdot 7^{4} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.081280440$ |
2.211920557 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( 21844 a + 62801\) , \( 5514575 a - 7334385\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(21844a+62801\right){x}+5514575a-7334385$ |
| 23548.6-f1 |
23548.6-f |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{24} \cdot 7^{3} \cdot 29^{2} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$0.101573404$ |
$0.567035318$ |
9.404264700 |
\( \frac{165663522483769}{12845056} a - \frac{173212885499459}{12845056} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( 77 a - 748\) , \( 1419 a - 7810\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(77a-748\right){x}+1419a-7810$ |
| 23548.6-f2 |
23548.6-f |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{24} \cdot 7 \cdot 29^{2} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$0.033857801$ |
$1.701105955$ |
9.404264700 |
\( -\frac{7943329}{1835008} a + \frac{12416947}{917504} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( 2 a - 3\) , \( -25\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(2a-3\right){x}-25$ |
| 23548.6-g1 |
23548.6-g |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{23} \cdot 7^{2} \cdot 29^{7} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 11 \) |
$1$ |
$0.370029160$ |
6.153746571 |
\( -\frac{289137704319}{851443712} a - \frac{8498610317}{121634816} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -173 a + 48\) , \( 1984 a - 1405\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-173a+48\right){x}+1984a-1405$ |
| 23548.6-g2 |
23548.6-g |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{13} \cdot 7 \cdot 29^{8} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 11 \) |
$1$ |
$0.370029160$ |
6.153746571 |
\( \frac{8110844618851}{12056576} a + \frac{665847624399}{12056576} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 172 a - 1205\) , \( 3332 a - 15943\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(172a-1205\right){x}+3332a-15943$ |
*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.
