| 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 |
| 23548.4-a1 |
23548.4-a |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{12} \cdot 7^{3} \cdot 29^{4} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.2 |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.158249788$ |
$0.955387510$ |
2.742931213 |
\( -\frac{365388073}{1568} a - \frac{167933639}{3136} \) |
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( 44 a - 157\) , \( -249 a + 673\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(44a-157\right){x}-249a+673$ |
| 23548.4-a2 |
23548.4-a |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{4} \cdot 7 \cdot 29^{4} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.474749366$ |
$2.866162532$ |
2.742931213 |
\( -\frac{16967}{14} a - \frac{74761}{28} \) |
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( 4 a - 2\) , \( 4 a + 8\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(4a-2\right){x}+4a+8$ |
| 23548.4-b1 |
23548.4-b |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{12} \cdot 7^{3} \cdot 29^{10} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.177411006$ |
1.609321385 |
\( -\frac{365388073}{1568} a - \frac{167933639}{3136} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( -2290 a + 4142\) , \( 31452 a + 84812\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-2290a+4142\right){x}+31452a+84812$ |
| 23548.4-b2 |
23548.4-b |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{4} \cdot 7 \cdot 29^{10} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.532233020$ |
1.609321385 |
\( -\frac{16967}{14} a - \frac{74761}{28} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( -130 a - 23\) , \( 916 a - 383\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-130a-23\right){x}+916a-383$ |
| 23548.4-c1 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{36} \cdot 7^{2} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
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 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -1364 a + 5285\) , \( -87375 a - 28834\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-1364a+5285\right){x}-87375a-28834$ |
| 23548.4-c2 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{15} \cdot 7^{3} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.487682642$ |
2.211920557 |
\( \frac{10538337875}{200704} a - \frac{36575498625}{200704} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( -181 a - 351\) , \( -2365 a - 1861\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-181a-351\right){x}-2365a-1861$ |
| 23548.4-c3 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{15} \cdot 7^{3} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.487682642$ |
2.211920557 |
\( -\frac{10538337875}{200704} a - \frac{13018580375}{100352} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 360 a - 341\) , \( -3236 a + 621\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(360a-341\right){x}-3236a+621$ |
| 23548.4-c4 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{5} \cdot 7 \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.463047928$ |
2.211920557 |
\( \frac{831875}{112} a - \frac{499125}{56} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 10 a - 36\) , \( 34 a - 66\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(10a-36\right){x}+34a-66$ |
| 23548.4-c5 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{5} \cdot 7 \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.463047928$ |
2.211920557 |
\( -\frac{831875}{112} a - \frac{166375}{112} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( 9 a - 36\) , \( -45 a + 82\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(9a-36\right){x}-45a+82$ |
| 23548.4-c6 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{4} \cdot 7^{2} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
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 |
\( -\frac{15625}{28} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -4 a + 15\) , \( 25 a + 8\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-4a+15\right){x}+25a+8$ |
| 23548.4-c7 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{12} \cdot 7^{6} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
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 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( 36 a - 140\) , \( -575 a - 190\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(36a-140\right){x}-575a-190$ |
| 23548.4-c8 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{45} \cdot 7 \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.162560880$ |
2.211920557 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( 619 a + 754\) , \( -11835 a - 11630\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(619a+754\right){x}-11835a-11630$ |
| 23548.4-c9 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{45} \cdot 7 \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.162560880$ |
2.211920557 |
\( -\frac{70135314719125}{481036337152} a + \frac{179276652423375}{240518168576} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -1000 a + 724\) , \( -16576 a + 592\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1000a+724\right){x}-16576a+592$ |
| 23548.4-c10 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{6} \cdot 7^{12} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.243841321$ |
2.211920557 |
\( \frac{4956477625}{941192} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -284 a + 1100\) , \( -6975 a - 2302\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-284a+1100\right){x}-6975a-2302$ |
| 23548.4-c11 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{2} \cdot 7^{4} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.731523964$ |
2.211920557 |
\( \frac{128787625}{98} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -84 a + 325\) , \( 1225 a + 404\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-84a+325\right){x}+1225a+404$ |
| 23548.4-c12 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{18} \cdot 7^{4} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.081280440$ |
2.211920557 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -21844 a + 84645\) , \( -5514575 a - 1819810\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-21844a+84645\right){x}-5514575a-1819810$ |
| 23548.4-d1 |
23548.4-d |
$4$ |
$6$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{3} \cdot 7^{6} \cdot 29^{9} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.248477695$ |
3.380966687 |
\( \frac{6746318072769}{33461708} a - \frac{420474781814}{8365427} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 1349 a - 1756\) , \( 27475 a - 13785\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1349a-1756\right){x}+27475a-13785$ |
| 23548.4-d2 |
23548.4-d |
$4$ |
$6$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{9} \cdot 7 \cdot 29^{8} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.745433087$ |
3.380966687 |
\( \frac{49280957}{376768} a - \frac{47148135}{376768} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( 23 a + 16\) , \( -67 a - 266\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(23a+16\right){x}-67a-266$ |
| 23548.4-d3 |
23548.4-d |
$4$ |
$6$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{3} \cdot 7^{3} \cdot 29^{12} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.248477695$ |
3.380966687 |
\( -\frac{14447848488359}{116585370916} a + \frac{15361898912699}{116585370916} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( -207 a - 144\) , \( 2075 a + 6782\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(-207a-144\right){x}+2075a+6782$ |
| 23548.4-d4 |
23548.4-d |
$4$ |
$6$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{9} \cdot 7^{2} \cdot 29^{7} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.745433087$ |
3.380966687 |
\( -\frac{97185033}{12992} a + \frac{67308743}{6496} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 99 a - 66\) , \( -365 a - 97\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(99a-66\right){x}-365a-97$ |
| 23548.4-e1 |
23548.4-e |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{24} \cdot 7^{3} \cdot 29^{8} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.2 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.105295815$ |
2.865461566 |
\( -\frac{165663522483769}{12845056} a - \frac{3774681507845}{6422528} \) |
\( \bigl[1\) , \( 1\) , \( a + 1\) , \( -3582 a + 22008\) , \( -820723 a + 28909\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-3582a+22008\right){x}-820723a+28909$ |
| 23548.4-e2 |
23548.4-e |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{24} \cdot 7 \cdot 29^{8} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$1$ |
$0.315887445$ |
2.865461566 |
\( \frac{7943329}{1835008} a + \frac{16890565}{1835008} \) |
\( \bigl[1\) , \( 1\) , \( a + 1\) , \( 53 a + 38\) , \( -2666 a - 873\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(53a+38\right){x}-2666a-873$ |
| 23548.4-f1 |
23548.4-f |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{24} \cdot 7^{3} \cdot 29^{2} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$0.101573404$ |
$0.567035318$ |
9.404264700 |
\( -\frac{165663522483769}{12845056} a - \frac{3774681507845}{6422528} \) |
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -78 a - 671\) , \( -1420 a - 6391\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-78a-671\right){x}-1420a-6391$ |
| 23548.4-f2 |
23548.4-f |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{24} \cdot 7 \cdot 29^{2} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$0.033857801$ |
$1.701105955$ |
9.404264700 |
\( \frac{7943329}{1835008} a + \frac{16890565}{1835008} \) |
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -3 a - 1\) , \( -a - 25\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-3a-1\right){x}-a-25$ |
| 23548.4-g1 |
23548.4-g |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{23} \cdot 7^{2} \cdot 29^{7} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 11 \) |
$1$ |
$0.370029160$ |
6.153746571 |
\( \frac{289137704319}{851443712} a - \frac{174313988269}{425721856} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( 172 a - 124\) , \( -1985 a + 580\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(172a-124\right){x}-1985a+580$ |
| 23548.4-g2 |
23548.4-g |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{13} \cdot 7 \cdot 29^{8} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 11 \) |
$1$ |
$0.370029160$ |
6.153746571 |
\( -\frac{8110844618851}{12056576} a + \frac{4388346121625}{6028288} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -172 a - 1033\) , \( -3332 a - 12611\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-172a-1033\right){x}-3332a-12611$ |
*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.
