| 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 |
| 50176.1-a1 |
50176.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.282042978$ |
$3.733127567$ |
4.211609669 |
\( \frac{25344}{7} a - \frac{13696}{7} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 4 i - 1\) , \( 3 i\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(4i-1\right){x}+3i$ |
| 50176.1-a2 |
50176.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{23} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.282042978$ |
$1.866563783$ |
4.211609669 |
\( -\frac{47800}{49} a - \frac{7304}{7} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -6 i - 11\) , \( 9 i + 22\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-6i-11\right){x}+9i+22$ |
| 50176.1-b1 |
50176.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{26} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.261235310$ |
2.261235310 |
\( -\frac{4}{7} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 0\) , \( -8 i + 8\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}-8i+8$ |
| 50176.1-b2 |
50176.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{28} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.130617655$ |
2.261235310 |
\( \frac{3543122}{49} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -80 i\) , \( -168 i + 168\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}-80i{x}-168i+168$ |
| 50176.1-c1 |
50176.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.282042978$ |
$3.733127567$ |
4.211609669 |
\( -\frac{25344}{7} a - \frac{13696}{7} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -4 i - 1\) , \( 3 i\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-4i-1\right){x}+3i$ |
| 50176.1-c2 |
50176.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{23} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.282042978$ |
$1.866563783$ |
4.211609669 |
\( \frac{47800}{49} a - \frac{7304}{7} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 6 i - 11\) , \( 9 i - 22\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(6i-11\right){x}+9i-22$ |
| 50176.1-d1 |
50176.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{20} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.423394148$ |
$3.005903014$ |
5.090726994 |
\( \frac{19872}{7} a + \frac{15296}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -6 i - 1\) , \( 6 i - 3\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-6i-1\right){x}+6i-3$ |
| 50176.1-d2 |
50176.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{25} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.423394148$ |
$1.502951507$ |
5.090726994 |
\( -\frac{694948}{49} a + \frac{30148}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -26 i - 21\) , \( -62 i - 15\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-26i-21\right){x}-62i-15$ |
| 50176.1-e1 |
50176.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{22} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.839949937$ |
2.839949937 |
\( \frac{432}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -2 i\) , \( -4 i - 4\bigr] \) |
${y}^2={x}^{3}-2i{x}-4i-4$ |
| 50176.1-e2 |
50176.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{28} \cdot 7^{8} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.709987484$ |
2.839949937 |
\( \frac{11090466}{2401} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 118 i\) , \( 276 i + 276\bigr] \) |
${y}^2={x}^{3}+118i{x}+276i+276$ |
| 50176.1-e3 |
50176.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{26} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$1$ |
$1.419974968$ |
2.839949937 |
\( \frac{740772}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 38 i\) , \( -60 i - 60\bigr] \) |
${y}^2={x}^{3}+38i{x}-60i-60$ |
| 50176.1-e4 |
50176.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{28} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.709987484$ |
2.839949937 |
\( \frac{1443468546}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 598 i\) , \( -3980 i - 3980\bigr] \) |
${y}^2={x}^{3}+598i{x}-3980i-3980$ |
| 50176.1-f1 |
50176.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{20} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.423394148$ |
$3.005903014$ |
5.090726994 |
\( -\frac{19872}{7} a + \frac{15296}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 6 i - 1\) , \( -6 i - 3\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(6i-1\right){x}-6i-3$ |
| 50176.1-f2 |
50176.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{25} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.423394148$ |
$1.502951507$ |
5.090726994 |
\( \frac{694948}{49} a + \frac{30148}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 26 i - 21\) , \( 62 i - 15\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(26i-21\right){x}+62i-15$ |
| 50176.1-g1 |
50176.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{14} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.423201756$ |
$3.166057359$ |
5.359524144 |
\( \frac{108000}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 5\) , \( -2 i\bigr] \) |
${y}^2={x}^{3}+5{x}-2i$ |
| 50176.1-g2 |
50176.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.423201756$ |
$3.166057359$ |
5.359524144 |
\( \frac{432000}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -10\) , \( 12\bigr] \) |
${y}^2={x}^{3}-10{x}+12$ |
| 50176.1-h1 |
50176.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{14} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.207380562$ |
$3.166057359$ |
3.822636115 |
\( \frac{108000}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -5\) , \( 2\bigr] \) |
${y}^2={x}^{3}-5{x}+2$ |
| 50176.1-h2 |
50176.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.603690281$ |
$3.166057359$ |
3.822636115 |
\( \frac{432000}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 10\) , \( 12 i\bigr] \) |
${y}^2={x}^{3}+10{x}+12i$ |
| 50176.1-i1 |
50176.1-i |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{66} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{2} \) |
$1$ |
$0.154753348$ |
1.392780133 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -5456 i\) , \( -111840 i + 111840\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}-5456i{x}-111840i+111840$ |
| 50176.1-i2 |
50176.1-i |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{34} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.392780133$ |
1.392780133 |
\( -\frac{15625}{28} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -16 i\) , \( 32 i - 32\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}-16i{x}+32i-32$ |
| 50176.1-i3 |
50176.1-i |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{42} \cdot 7^{6} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.464260044$ |
1.392780133 |
\( \frac{9938375}{21952} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 144 i\) , \( -736 i + 736\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+144i{x}-736i+736$ |
| 50176.1-i4 |
50176.1-i |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{12} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.232130022$ |
1.392780133 |
\( \frac{4956477625}{941192} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -1136 i\) , \( -8928 i + 8928\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}-1136i{x}-8928i+8928$ |
| 50176.1-i5 |
50176.1-i |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{32} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.696390066$ |
1.392780133 |
\( \frac{128787625}{98} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -336 i\) , \( 1568 i - 1568\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}-336i{x}+1568i-1568$ |
| 50176.1-i6 |
50176.1-i |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{48} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.077376674$ |
1.392780133 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -87376 i\) , \( -7058656 i + 7058656\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}-87376i{x}-7058656i+7058656$ |
| 50176.1-j1 |
50176.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.628408333$ |
$3.528858290$ |
4.435127916 |
\( \frac{8000}{7} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 4 i\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+4i{x}$ |
| 50176.1-j2 |
50176.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.256816667$ |
$1.764429145$ |
4.435127916 |
\( \frac{125000}{49} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -16 i\) , \( -16 i + 16\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}-16i{x}-16i+16$ |
| 50176.1-k1 |
50176.1-k |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{66} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{2} \) |
$1$ |
$0.154753348$ |
1.392780133 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 5456 i\) , \( 111840 i + 111840\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+5456i{x}+111840i+111840$ |
| 50176.1-k2 |
50176.1-k |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{34} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.392780133$ |
1.392780133 |
\( -\frac{15625}{28} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 16 i\) , \( -32 i - 32\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+16i{x}-32i-32$ |
| 50176.1-k3 |
50176.1-k |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{42} \cdot 7^{6} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.464260044$ |
1.392780133 |
\( \frac{9938375}{21952} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( -144 i\) , \( 736 i + 736\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}-144i{x}+736i+736$ |
| 50176.1-k4 |
50176.1-k |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{12} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.232130022$ |
1.392780133 |
\( \frac{4956477625}{941192} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 1136 i\) , \( 8928 i + 8928\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+1136i{x}+8928i+8928$ |
| 50176.1-k5 |
50176.1-k |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{32} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.696390066$ |
1.392780133 |
\( \frac{128787625}{98} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 336 i\) , \( -1568 i - 1568\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+336i{x}-1568i-1568$ |
| 50176.1-k6 |
50176.1-k |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{48} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.077376674$ |
1.392780133 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 87376 i\) , \( 7058656 i + 7058656\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+87376i{x}+7058656i+7058656$ |
| 50176.1-l1 |
50176.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.628408333$ |
$3.528858290$ |
4.435127916 |
\( \frac{8000}{7} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -4 i\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}-4i{x}$ |
| 50176.1-l2 |
50176.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.256816667$ |
$1.764429145$ |
4.435127916 |
\( \frac{125000}{49} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 16 i\) , \( -16 i - 16\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+16i{x}-16i-16$ |
| 50176.1-m1 |
50176.1-m |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{20} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.789444093$ |
$3.005903014$ |
4.745984757 |
\( -\frac{19872}{7} a + \frac{15296}{7} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -6 i + 1\) , \( -3 i + 6\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-6i+1\right){x}-3i+6$ |
| 50176.1-m2 |
50176.1-m |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{25} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.578888186$ |
$1.502951507$ |
4.745984757 |
\( \frac{694948}{49} a + \frac{30148}{7} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -26 i + 21\) , \( -15 i - 62\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-26i+21\right){x}-15i-62$ |
| 50176.1-n1 |
50176.1-n |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{22} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.839949937$ |
2.839949937 |
\( \frac{432}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 2 i\) , \( 4 i - 4\bigr] \) |
${y}^2={x}^{3}+2i{x}+4i-4$ |
| 50176.1-n2 |
50176.1-n |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{28} \cdot 7^{8} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.709987484$ |
2.839949937 |
\( \frac{11090466}{2401} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -118 i\) , \( -276 i + 276\bigr] \) |
${y}^2={x}^{3}-118i{x}-276i+276$ |
| 50176.1-n3 |
50176.1-n |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{26} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$1$ |
$1.419974968$ |
2.839949937 |
\( \frac{740772}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -38 i\) , \( 60 i - 60\bigr] \) |
${y}^2={x}^{3}-38i{x}+60i-60$ |
| 50176.1-n4 |
50176.1-n |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{28} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.709987484$ |
2.839949937 |
\( \frac{1443468546}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -598 i\) , \( 3980 i - 3980\bigr] \) |
${y}^2={x}^{3}-598i{x}+3980i-3980$ |
| 50176.1-o1 |
50176.1-o |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{20} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.789444093$ |
$3.005903014$ |
4.745984757 |
\( \frac{19872}{7} a + \frac{15296}{7} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 6 i + 1\) , \( 3 i + 6\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(6i+1\right){x}+3i+6$ |
| 50176.1-o2 |
50176.1-o |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{25} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.578888186$ |
$1.502951507$ |
4.745984757 |
\( -\frac{694948}{49} a + \frac{30148}{7} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 26 i + 21\) , \( 15 i - 62\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(26i+21\right){x}+15i-62$ |
| 50176.1-p1 |
50176.1-p |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.733127567$ |
3.733127567 |
\( -\frac{25344}{7} a - \frac{13696}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 4 i + 1\) , \( 3\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(4i+1\right){x}+3$ |
| 50176.1-p2 |
50176.1-p |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{23} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.866563783$ |
3.733127567 |
\( \frac{47800}{49} a - \frac{7304}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -6 i + 11\) , \( 22 i + 9\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-6i+11\right){x}+22i+9$ |
| 50176.1-q1 |
50176.1-q |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{26} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.261235310$ |
2.261235310 |
\( -\frac{4}{7} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 0\) , \( 8 i + 8\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+8i+8$ |
| 50176.1-q2 |
50176.1-q |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{28} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.130617655$ |
2.261235310 |
\( \frac{3543122}{49} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 80 i\) , \( 168 i + 168\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+80i{x}+168i+168$ |
| 50176.1-r1 |
50176.1-r |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{2} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.733127567$ |
3.733127567 |
\( \frac{25344}{7} a - \frac{13696}{7} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -4 i + 1\) , \( -3\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-4i+1\right){x}-3$ |
| 50176.1-r2 |
50176.1-r |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{23} \cdot 7^{4} \) |
$2.67481$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.866563783$ |
3.733127567 |
\( -\frac{47800}{49} a - \frac{7304}{7} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 6 i + 11\) , \( 22 i - 9\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(6i+11\right){x}+22i-9$ |
*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.
