| 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 |
| 98.1-a1 |
98.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2^{3} \cdot 7^{10} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.4.2 |
$1$ |
\( 1 \) |
$1$ |
$4.836684019$ |
0.987283991 |
\( -\frac{129673510094310233841}{67228} a - \frac{158816966443070820361}{33614} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 9533 a - 23398\) , \( -702502 a + 1720850\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(9533a-23398\right){x}-702502a+1720850$ |
| 98.1-a2 |
98.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2^{15} \cdot 7^{2} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.4.1 |
$1$ |
\( 1 \) |
$1$ |
$4.836684019$ |
0.987283991 |
\( -\frac{1438226488809}{1792} a + \frac{1761459673691}{896} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -136 a - 334\) , \( 2056 a + 5036\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-136a-334\right){x}+2056a+5036$ |
| 98.1-b1 |
98.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2 \cdot 7^{2} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 1 \) |
$0.782186096$ |
$44.58780634$ |
1.582005772 |
\( \frac{14841}{14} a - \frac{2603}{7} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 3 a - 9\) , \( -5 a + 12\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(3a-9\right){x}-5a+12$ |
| 98.1-b2 |
98.1-b |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2^{3} \cdot 7^{6} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$0.260728698$ |
$4.954200705$ |
1.582005772 |
\( \frac{4041775873}{1372} a + \frac{4951039391}{686} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -32 a + 76\) , \( 52 a - 128\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-32a+76\right){x}+52a-128$ |
| 98.1-c1 |
98.1-c |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2 \cdot 7^{2} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 1 \) |
$1$ |
$14.92998070$ |
3.047569549 |
\( -\frac{14841}{14} a - \frac{2603}{7} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( 1\) , \( -1\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+{x}-1$ |
| 98.1-c2 |
98.1-c |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2^{3} \cdot 7^{6} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3^{2} \) |
$1$ |
$14.92998070$ |
3.047569549 |
\( -\frac{4041775873}{1372} a + \frac{4951039391}{686} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( 15 a - 34\) , \( -60 a + 148\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(15a-34\right){x}-60a+148$ |
| 98.1-d1 |
98.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$7.027708105$ |
1.434524910 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 3411 a - 8354\) , \( -169592 a + 415414\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(3411a-8354\right){x}-169592a+415414$ |
| 98.1-d2 |
98.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{4} \cdot 7^{2} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \) |
$1$ |
$7.027708105$ |
1.434524910 |
\( -\frac{15625}{28} \) |
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 11 a - 24\) , \( 60 a - 146\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(11a-24\right){x}+60a-146$ |
| 98.1-d3 |
98.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{12} \cdot 7^{6} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$7.027708105$ |
1.434524910 |
\( \frac{9938375}{21952} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 89 a + 221\) , \( 1228 a + 3009\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(89a+221\right){x}+1228a+3009$ |
| 98.1-d4 |
98.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{6} \cdot 7^{12} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$7.027708105$ |
1.434524910 |
\( \frac{4956477625}{941192} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -711 a - 1739\) , \( 13100 a + 32089\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-711a-1739\right){x}+13100a+32089$ |
| 98.1-d5 |
98.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{2} \cdot 7^{4} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \) |
$1$ |
$7.027708105$ |
1.434524910 |
\( \frac{128787625}{98} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -211 a - 514\) , \( -2636 a - 6456\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-211a-514\right){x}-2636a-6456$ |
| 98.1-d6 |
98.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{4} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$7.027708105$ |
1.434524910 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -54611 a - 133794\) , \( 10864248 a + 26611894\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-54611a-133794\right){x}+10864248a+26611894$ |
| 98.1-e1 |
98.1-e |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2^{3} \cdot 7^{10} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.2 |
$1$ |
\( 3 \) |
$6.297923914$ |
$0.290484141$ |
2.240605853 |
\( \frac{129673510094310233841}{67228} a - \frac{158816966443070820361}{33614} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 947 a - 2798\) , \( 29407 a - 75417\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(947a-2798\right){x}+29407a-75417$ |
| 98.1-e2 |
98.1-e |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2^{15} \cdot 7^{2} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 3 \cdot 5 \) |
$1.259584782$ |
$7.262103526$ |
2.240605853 |
\( \frac{1438226488809}{1792} a + \frac{1761459673691}{896} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -23 a - 58\) , \( 107 a + 243\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-23a-58\right){x}+107a+243$ |
| 98.1-f1 |
98.1-f |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2^{3} \cdot 7^{10} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.4.2 |
$1$ |
\( 1 \) |
$1$ |
$4.836684019$ |
0.987283991 |
\( \frac{129673510094310233841}{67228} a - \frac{158816966443070820361}{33614} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -9533 a - 23398\) , \( 702502 a + 1720850\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-9533a-23398\right){x}+702502a+1720850$ |
| 98.1-f2 |
98.1-f |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2^{15} \cdot 7^{2} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.4.1 |
$1$ |
\( 1 \) |
$1$ |
$4.836684019$ |
0.987283991 |
\( \frac{1438226488809}{1792} a + \frac{1761459673691}{896} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 141 a - 337\) , \( -2393 a + 5867\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(141a-337\right){x}-2393a+5867$ |
| 98.1-g1 |
98.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \) |
$13.29619660$ |
$0.436190660$ |
1.183854065 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -171\) , \( -874\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-171{x}-874$ |
| 98.1-g2 |
98.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{4} \cdot 7^{2} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \) |
$1.477355178$ |
$35.33144352$ |
1.183854065 |
\( -\frac{15625}{28} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( 0\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}$ |
| 98.1-g3 |
98.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{12} \cdot 7^{6} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$4.432065534$ |
$3.925715946$ |
1.183854065 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 4\) , \( -6\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+4{x}-6$ |
| 98.1-g4 |
98.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{6} \cdot 7^{12} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$2.216032767$ |
$3.925715946$ |
1.183854065 |
\( \frac{4956477625}{941192} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -36\) , \( -70\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-36{x}-70$ |
| 98.1-g5 |
98.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{2} \cdot 7^{4} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \) |
$0.738677589$ |
$35.33144352$ |
1.183854065 |
\( \frac{128787625}{98} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -11\) , \( 12\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-11{x}+12$ |
| 98.1-g6 |
98.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{4} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \) |
$6.648098301$ |
$0.436190660$ |
1.183854065 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -2731\) , \( -55146\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-2731{x}-55146$ |
| 98.1-h1 |
98.1-h |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2 \cdot 7^{2} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 1 \) |
$0.782186096$ |
$44.58780634$ |
1.582005772 |
\( -\frac{14841}{14} a - \frac{2603}{7} \) |
\( \bigl[a + 1\) , \( 0\) , \( 1\) , \( -4 a - 9\) , \( 5 a + 12\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-4a-9\right){x}+5a+12$ |
| 98.1-h2 |
98.1-h |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2^{3} \cdot 7^{6} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$0.260728698$ |
$4.954200705$ |
1.582005772 |
\( -\frac{4041775873}{1372} a + \frac{4951039391}{686} \) |
\( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 31 a + 76\) , \( -52 a - 128\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(31a+76\right){x}-52a-128$ |
| 98.1-i1 |
98.1-i |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2 \cdot 7^{2} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 1 \) |
$1$ |
$14.92998070$ |
3.047569549 |
\( \frac{14841}{14} a - \frac{2603}{7} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( -a + 1\) , \( -1\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-a+1\right){x}-1$ |
| 98.1-i2 |
98.1-i |
$2$ |
$3$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2^{3} \cdot 7^{6} \) |
$1.37737$ |
$(-a+2), (7)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3^{2} \) |
$1$ |
$14.92998070$ |
3.047569549 |
\( \frac{4041775873}{1372} a + \frac{4951039391}{686} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( -16 a - 34\) , \( 60 a + 148\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-16a-34\right){x}+60a+148$ |
| 98.1-j1 |
98.1-j |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2^{3} \cdot 7^{10} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.2 |
$1$ |
\( 3 \) |
$6.297923914$ |
$0.290484141$ |
2.240605853 |
\( -\frac{129673510094310233841}{67228} a - \frac{158816966443070820361}{33614} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -948 a - 2798\) , \( -29408 a - 75417\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-948a-2798\right){x}-29408a-75417$ |
| 98.1-j2 |
98.1-j |
$2$ |
$5$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( - 2^{15} \cdot 7^{2} \) |
$1.37737$ |
$(-a+2), (7)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 3 \cdot 5 \) |
$1.259584782$ |
$7.262103526$ |
2.240605853 |
\( -\frac{1438226488809}{1792} a + \frac{1761459673691}{896} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 22 a - 58\) , \( -108 a + 243\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(22a-58\right){x}-108a+243$ |
*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.
