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 |
22400.7-a1 |
22400.7-a |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{33} \cdot 5^{12} \cdot 7^{3} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{4} \) |
$1.603213731$ |
$0.238537141$ |
2.312695188 |
\( \frac{185012985079}{78400000} a - \frac{650824056453}{196000000} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -592 a + 871\) , \( -2901 a - 10540\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-592a+871\right){x}-2901a-10540$ |
22400.7-a2 |
22400.7-a |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{39} \cdot 5^{6} \cdot 7^{6} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \) |
$3.206427462$ |
$0.238537141$ |
2.312695188 |
\( -\frac{9103345957169}{11239424000} a - \frac{4743040859549}{5619712000} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -281 a + 823\) , \( -4977 a - 6181\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-281a+823\right){x}-4977a-6181$ |
22400.7-a3 |
22400.7-a |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{39} \cdot 5^{4} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$0.534404577$ |
$0.715611424$ |
2.312695188 |
\( -\frac{3747996503}{9175040} a + \frac{81235193761}{45875200} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 48 a - 89\) , \( 107 a - 44\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(48a-89\right){x}+107a-44$ |
22400.7-a4 |
22400.7-a |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{73} \cdot 5^{2} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$9.619282387$ |
$0.079512380$ |
2.312695188 |
\( \frac{41282203518025836237719}{630503947831869440} a + \frac{73009411794585148408203}{315251973915934720} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -11131 a - 8627\) , \( -807247 a + 7749\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-11131a-8627\right){x}-807247a+7749$ |
22400.7-a5 |
22400.7-a |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{33} \cdot 5^{2} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1.068809154$ |
$0.715611424$ |
2.312695188 |
\( -\frac{13113497519}{17920} a + \frac{6018146637}{17920} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 159 a + 143\) , \( 887 a - 2333\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(159a+143\right){x}+887a-2333$ |
22400.7-a6 |
22400.7-a |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{47} \cdot 5^{4} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$4.809641193$ |
$0.079512380$ |
2.312695188 |
\( \frac{810722517917135481181}{23488102400} a + \frac{525145258848812643673}{11744051200} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -48092 a + 75371\) , \( -1549501 a - 7917940\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-48092a+75371\right){x}-1549501a-7917940$ |
22400.7-b1 |
22400.7-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{23} \cdot 5^{2} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.268506281$ |
0.811886680 |
\( -\frac{92065654374401}{280} a - 328860957952 \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -5228 a - 2240\) , \( -225350 a + 75230\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-5228a-2240\right){x}-225350a+75230$ |
22400.7-b2 |
22400.7-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{28} \cdot 5^{4} \cdot 7^{4} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.537012562$ |
0.811886680 |
\( \frac{44957682561}{78400} a - \frac{22448742401}{39200} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -328 a - 140\) , \( -3590 a + 1310\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-328a-140\right){x}-3590a+1310$ |
22400.7-b3 |
22400.7-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{25} \cdot 5^{16} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.268506281$ |
0.811886680 |
\( -\frac{1106567639419}{175000000} a - \frac{2848222090671}{87500000} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -651 a - 592\) , \( -11801 a - 1658\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-651a-592\right){x}-11801a-1658$ |
22400.7-b4 |
22400.7-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{32} \cdot 5^{8} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.537012562$ |
0.811886680 |
\( -\frac{7930761861}{17920000} a + \frac{410560681}{1280000} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 19 a - 122\) , \( -529 a + 686\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(19a-122\right){x}-529a+686$ |
22400.7-b5 |
22400.7-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{43} \cdot 5^{4} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.537012562$ |
0.811886680 |
\( \frac{9917005311763}{2936012800} a + \frac{1614739002967}{1468006400} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -135 a + 180\) , \( 251 a + 972\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-135a+180\right){x}+251a+972$ |
22400.7-b6 |
22400.7-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{29} \cdot 5^{2} \cdot 7^{8} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.537012562$ |
0.811886680 |
\( \frac{1245024751}{3073280} a + \frac{717420015}{614656} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -94 a + 138\) , \( -260 a - 20\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-94a+138\right){x}-260a-20$ |
22400.7-c1 |
22400.7-c |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{21} \cdot 5^{4} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.604822983$ |
$1.617690403$ |
2.958452916 |
\( -\frac{213679549}{5600} a - \frac{145076817}{5600} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -16 a - 25\) , \( -56 a - 19\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-16a-25\right){x}-56a-19$ |
22400.7-c2 |
22400.7-c |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{27} \cdot 5^{2} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.302411491$ |
$1.617690403$ |
2.958452916 |
\( -\frac{797873}{5120} a + \frac{1748809}{7168} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -8 a - 1\) , \( -11 a - 20\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-8a-1\right){x}-11a-20$ |
22400.7-d1 |
22400.7-d |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{21} \cdot 5^{4} \cdot 7^{3} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.383560264$ |
$1.428132098$ |
3.312630161 |
\( -\frac{2539645}{3136} a + \frac{256038103}{78400} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 16 a + 7\) , \( 8 a - 51\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(16a+7\right){x}+8a-51$ |
22400.7-d2 |
22400.7-d |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{15} \cdot 5^{2} \cdot 7^{6} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.767120528$ |
$1.428132098$ |
3.312630161 |
\( \frac{160514353}{13720} a + \frac{206785941}{13720} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -9 a + 43\) , \( 95 a - 5\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-9a+43\right){x}+95a-5$ |
22400.7-e1 |
22400.7-e |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{19} \cdot 5^{4} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.257479238$ |
$2.326904652$ |
3.623195484 |
\( \frac{1457}{140} a - \frac{6159}{700} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 0\) , \( 4 a - 12\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+4a-12$ |
22400.7-e2 |
22400.7-e |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{17} \cdot 5^{2} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.514958476$ |
$2.326904652$ |
3.623195484 |
\( \frac{1889729}{70} a + \frac{191899}{10} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -8 a - 12\) , \( -20 a - 8\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-8a-12\right){x}-20a-8$ |
22400.7-f1 |
22400.7-f |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{31} \cdot 5^{4} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.132856079$ |
1.712717404 |
\( -\frac{82248083}{179200} a + \frac{347879361}{179200} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -6 a - 34\) , \( 4 a - 48\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-6a-34\right){x}+4a-48$ |
22400.7-f2 |
22400.7-f |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{29} \cdot 5^{2} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.132856079$ |
1.712717404 |
\( \frac{105641161}{2240} a + \frac{136495}{28} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 49 a - 68\) , \( 201 a - 112\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(49a-68\right){x}+201a-112$ |
22400.7-g1 |
22400.7-g |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{17} \cdot 5^{4} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.421990124$ |
$2.502092659$ |
3.192615688 |
\( \frac{103823}{70} a + \frac{103823}{350} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -3 a + 5\) , \( -3 a + 1\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a+5\right){x}-3a+1$ |
22400.7-g2 |
22400.7-g |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{19} \cdot 5^{2} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.210995062$ |
$2.502092659$ |
3.192615688 |
\( -\frac{154207}{140} a + \frac{171741}{140} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -9\) , \( -a - 8\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}-9{x}-a-8$ |
22400.7-h1 |
22400.7-h |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{23} \cdot 5^{2} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$2.042234365$ |
$0.268506281$ |
3.316125759 |
\( \frac{92065654374401}{280} a - \frac{184146722600961}{280} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 1492 a + 7467\) , \( 211017 a - 209936\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(1492a+7467\right){x}+211017a-209936$ |
22400.7-h2 |
22400.7-h |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{25} \cdot 5^{16} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$4.084468731$ |
$0.268506281$ |
3.316125759 |
\( \frac{1106567639419}{175000000} a - \frac{6803011820761}{175000000} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 405 a + 933\) , \( 10708 a - 16352\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(405a+933\right){x}+10708a-16352$ |
22400.7-h3 |
22400.7-h |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{32} \cdot 5^{8} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$2.042234365$ |
$0.537012562$ |
3.316125759 |
\( \frac{7930761861}{17920000} a - \frac{2182912327}{17920000} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 85 a - 27\) , \( 596 a - 96\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(85a-27\right){x}+596a-96$ |
22400.7-h4 |
22400.7-h |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{28} \cdot 5^{4} \cdot 7^{4} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1.021117182$ |
$0.537012562$ |
3.316125759 |
\( -\frac{44957682561}{78400} a + \frac{60197759}{78400} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 92 a + 467\) , \( 3257 a - 3296\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(92a+467\right){x}+3257a-3296$ |
22400.7-h5 |
22400.7-h |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{29} \cdot 5^{2} \cdot 7^{8} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.510558591$ |
$0.537012562$ |
3.316125759 |
\( -\frac{1245024751}{3073280} a + \frac{2416062413}{1536640} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -100 a + 131\) , \( 328 a - 467\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-100a+131\right){x}+328a-467$ |
22400.7-h6 |
22400.7-h |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{43} \cdot 5^{4} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.021117182$ |
$0.537012562$ |
3.316125759 |
\( -\frac{9917005311763}{2936012800} a + \frac{13146483317697}{2936012800} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -129 a + 187\) , \( 87 a + 1171\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-129a+187\right){x}+87a+1171$ |
22400.7-i1 |
22400.7-i |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 5^{4} \cdot 7^{4} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.346848112$ |
$1.702706066$ |
3.571494468 |
\( \frac{13179}{19600} a + \frac{89927}{19600} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -3 a\) , \( -3 a + 28\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}-3a{x}-3a+28$ |
22400.7-i2 |
22400.7-i |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{23} \cdot 5^{2} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.693696225$ |
$1.702706066$ |
3.571494468 |
\( -\frac{6821623}{8960} a + \frac{55209257}{1792} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 14 a - 30\) , \( -48 a + 44\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(14a-30\right){x}-48a+44$ |
22400.7-i3 |
22400.7-i |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 5^{8} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.693696225$ |
$1.702706066$ |
3.571494468 |
\( \frac{477521691}{17500} a + \frac{802743911}{17500} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 26 a - 18\) , \( 42 a + 12\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(26a-18\right){x}+42a+12$ |
22400.7-i4 |
22400.7-i |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{17} \cdot 5^{2} \cdot 7^{8} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.173424056$ |
$0.851353033$ |
3.571494468 |
\( -\frac{1321487249}{48020} a + \frac{754040943}{9604} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -103 a + 100\) , \( -123 a + 668\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-103a+100\right){x}-123a+668$ |
22400.7-j1 |
22400.7-j |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{28} \cdot 5^{2} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.308129490$ |
1.977705894 |
\( \frac{385902711}{8960} a - \frac{838409589}{4480} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -8 a - 65\) , \( -62 a - 211\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-8a-65\right){x}-62a-211$ |
22400.7-j2 |
22400.7-j |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{28} \cdot 5^{2} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.308129490$ |
1.977705894 |
\( -\frac{385902711}{8960} a - \frac{1290916467}{8960} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 46 a + 13\) , \( 22 a + 209\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(46a+13\right){x}+22a+209$ |
22400.7-j3 |
22400.7-j |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{26} \cdot 5^{4} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.308129490$ |
1.977705894 |
\( \frac{1367631}{2800} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -11 a + 16\) , \( 35 a - 14\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-11a+16\right){x}+35a-14$ |
22400.7-j4 |
22400.7-j |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{22} \cdot 5^{8} \cdot 7^{4} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.654064745$ |
1.977705894 |
\( \frac{611960049}{122500} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 89 a - 124\) , \( 407 a - 330\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(89a-124\right){x}+407a-330$ |
22400.7-j5 |
22400.7-j |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{20} \cdot 5^{16} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$0.327032372$ |
1.977705894 |
\( \frac{74565301329}{5468750} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 439 a - 614\) , \( -4955 a + 2876\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(439a-614\right){x}-4955a+2876$ |
22400.7-j6 |
22400.7-j |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{20} \cdot 5^{4} \cdot 7^{8} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.327032372$ |
1.977705894 |
\( \frac{2121328796049}{120050} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 1339 a - 1874\) , \( 28857 a - 19680\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(1339a-1874\right){x}+28857a-19680$ |
22400.7-k1 |
22400.7-k |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{19} \cdot 5^{4} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 7 \) |
$0.203840522$ |
$1.421498015$ |
6.133039862 |
\( -\frac{15989226301}{22400} a - \frac{6703640913}{22400} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -9 a + 83\) , \( 193 a - 31\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-9a+83\right){x}+193a-31$ |
22400.7-k2 |
22400.7-k |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{29} \cdot 5^{2} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 7 \) |
$0.101920261$ |
$1.421498015$ |
6.133039862 |
\( \frac{348212521}{573440} a - \frac{17351351}{114688} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 11 a + 3\) , \( 15 a + 23\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(11a+3\right){x}+15a+23$ |
22400.7-l1 |
22400.7-l |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{33} \cdot 5^{2} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.715611424$ |
3.245708337 |
\( \frac{13113497519}{17920} a - \frac{3547675441}{8960} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -99 a - 227\) , \( 747 a + 1187\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-99a-227\right){x}+747a+1187$ |
22400.7-l2 |
22400.7-l |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{39} \cdot 5^{6} \cdot 7^{6} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.238537141$ |
3.245708337 |
\( \frac{9103345957169}{11239424000} a - \frac{2655632525181}{1605632000} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -584 a + 388\) , \( -3807 a + 13169\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-584a+388\right){x}-3807a+13169$ |
22400.7-l3 |
22400.7-l |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{33} \cdot 5^{12} \cdot 7^{3} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.238537141$ |
3.245708337 |
\( -\frac{185012985079}{78400000} a - \frac{376583187511}{392000000} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -624 a + 828\) , \( -685 a + 13323\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-624a+828\right){x}-685a+13323$ |
22400.7-l4 |
22400.7-l |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{39} \cdot 5^{4} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.715611424$ |
3.245708337 |
\( \frac{3747996503}{9175040} a + \frac{31247605623}{22937600} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 61 a - 67\) , \( 93 a - 131\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(61a-67\right){x}+93a-131$ |
22400.7-l5 |
22400.7-l |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{73} \cdot 5^{2} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$1$ |
$0.079512380$ |
3.245708337 |
\( -\frac{41282203518025836237719}{630503947831869440} a + \frac{37460205421439226610825}{126100789566373888} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 5891 a + 15963\) , \( -693027 a + 970909\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(5891a+15963\right){x}-693027a+970909$ |
22400.7-l6 |
22400.7-l |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{47} \cdot 5^{4} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$1$ |
$0.079512380$ |
3.245708337 |
\( -\frac{810722517917135481181}{23488102400} a + \frac{1861013035614760768527}{23488102400} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -53749 a + 67203\) , \( -56785 a + 8996823\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-53749a+67203\right){x}-56785a+8996823$ |
22400.7-m1 |
22400.7-m |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{38} \cdot 5^{2} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 5 \) |
$0.192170278$ |
$1.014067406$ |
5.892424295 |
\( \frac{741041193}{36700160} a + \frac{196817993}{7340032} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -5 a - 10\) , \( -85 a + 94\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-5a-10\right){x}-85a+94$ |
22400.7-m2 |
22400.7-m |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{23} \cdot 5^{8} \cdot 7 \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 5 \) |
$0.192170278$ |
$1.014067406$ |
5.892424295 |
\( \frac{68488403}{140000} a + \frac{540576223}{140000} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -25 a - 37\) , \( -101 a + 3\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-25a-37\right){x}-101a+3$ |
22400.7-m3 |
22400.7-m |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{28} \cdot 5^{4} \cdot 7^{2} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \cdot 5 \) |
$0.384340557$ |
$1.014067406$ |
5.892424295 |
\( -\frac{523907907}{179200} a + \frac{3285243089}{179200} \) |
\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -56 a + 55\) , \( -24 a + 265\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-56a+55\right){x}-24a+265$ |
22400.7-m4 |
22400.7-m |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
22400.7 |
\( 2^{7} \cdot 5^{2} \cdot 7 \) |
\( 2^{23} \cdot 5^{2} \cdot 7^{4} \) |
$2.89234$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.768681115$ |
$0.507033703$ |
5.892424295 |
\( -\frac{739298508457}{7840} a + \frac{457662685527}{1568} \) |
\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -856 a + 855\) , \( -2584 a + 17225\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-856a+855\right){x}-2584a+17225$ |
*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.