| 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 |
| 147456.1-a1 |
147456.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{8} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.221783341$ |
$1.417237291$ |
5.807120594 |
\( \frac{10336}{3} a - 1344 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -23 a + 28\) , \( 22 a + 51\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-23a+28\right){x}+22a+51$ |
| 147456.1-a2 |
147456.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{7} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.221783341$ |
$2.834474582$ |
5.807120594 |
\( -\frac{4736}{3} a + \frac{2176}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 7 a - 2\) , \( 4 a + 3\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(7a-2\right){x}+4a+3$ |
| 147456.1-b1 |
147456.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{8} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.574421854$ |
$2.834474582$ |
3.760130219 |
\( \frac{10336}{3} a - 1344 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 8 a - 1\) , \( -a + 7\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a-1\right){x}-a+7$ |
| 147456.1-b2 |
147456.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{7} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.148843708$ |
$1.417237291$ |
3.760130219 |
\( -\frac{4736}{3} a + \frac{2176}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -7 a - 16\) , \( 14 a + 49\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-7a-16\right){x}+14a+49$ |
| 147456.1-c1 |
147456.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{6} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.600644157$ |
1.848264670 |
\( 128 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a\) , \( -30 a + 15\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+9a{x}-30a+15$ |
| 147456.1-c2 |
147456.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{6} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$3.201288314$ |
1.848264670 |
\( 10976 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a\) , \( -12 a + 6\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-6a{x}-12a+6$ |
| 147456.1-d1 |
147456.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{6} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.669035392$ |
$3.201288314$ |
4.946217913 |
\( 128 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 3 a\) , \( -6 a + 3\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+3a{x}-6a+3$ |
| 147456.1-d2 |
147456.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{6} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.338070784$ |
$1.600644157$ |
4.946217913 |
\( 10976 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -27 a\) , \( -42 a + 21\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-27a{x}-42a+21$ |
| 147456.1-e1 |
147456.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{7} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.221783341$ |
$2.834474582$ |
5.807120594 |
\( \frac{4736}{3} a - \frac{2560}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 3 a - 6\) , \( 9\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(3a-6\right){x}+9$ |
| 147456.1-e2 |
147456.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{8} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.221783341$ |
$1.417237291$ |
5.807120594 |
\( -\frac{10336}{3} a + \frac{6304}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -27 a + 24\) , \( -18 a + 45\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-27a+24\right){x}-18a+45$ |
| 147456.1-f1 |
147456.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{7} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.148843708$ |
$1.417237291$ |
3.760130219 |
\( \frac{4736}{3} a - \frac{2560}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -23 a + 16\) , \( -14 a + 63\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-23a+16\right){x}-14a+63$ |
| 147456.1-f2 |
147456.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{8} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.574421854$ |
$2.834474582$ |
3.760130219 |
\( -\frac{10336}{3} a + \frac{6304}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 7 a + 1\) , \( a + 6\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(7a+1\right){x}+a+6$ |
| 147456.1-g1 |
147456.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{6} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.955972523$ |
$1.523255234$ |
3.362927102 |
\( 3456 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -24\) , \( 32\bigr] \) |
${y}^2={x}^{3}-24{x}+32$ |
| 147456.1-g2 |
147456.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{6} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.477986261$ |
$3.046510469$ |
3.362927102 |
\( 23328 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -9\) , \( -10\bigr] \) |
${y}^2={x}^{3}-9{x}-10$ |
| 147456.1-h1 |
147456.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{6} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.597136445$ |
$3.046510469$ |
4.201221868 |
\( 3456 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -6 a + 6\) , \( 4\bigr] \) |
${y}^2={x}^{3}+\left(-6a+6\right){x}+4$ |
| 147456.1-h2 |
147456.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{6} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.298568222$ |
$1.523255234$ |
4.201221868 |
\( 23328 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -36 a + 36\) , \( -80\bigr] \) |
${y}^2={x}^{3}+\left(-36a+36\right){x}-80$ |
| 147456.1-i1 |
147456.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{12} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.873430633$ |
$1.000900822$ |
4.037837393 |
\( -\frac{32224}{27} a + \frac{76576}{27} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -43 a + 56\) , \( 14 a - 131\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-43a+56\right){x}+14a-131$ |
| 147456.1-i2 |
147456.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.436715316$ |
$2.001801645$ |
4.037837393 |
\( \frac{290176}{9} a + \frac{48640}{9} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -13 a + 26\) , \( 32 a + 1\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-13a+26\right){x}+32a+1$ |
| 147456.1-j1 |
147456.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{3} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.329914840$ |
$2.065124897$ |
6.293721614 |
\( 10272 a - 15648 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 21 a - 12\) , \( 38 a - 9\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(21a-12\right){x}+38a-9$ |
| 147456.1-j2 |
147456.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{3} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.329914840$ |
$4.130249794$ |
6.293721614 |
\( 384 a - 768 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a - 2\) , \( 1\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a-2\right){x}+1$ |
| 147456.1-k1 |
147456.1-k |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$2.384600830$ |
1.376749931 |
\( 10272 a - 15648 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 9 a + 6\) , \( -12 a + 22\bigr] \) |
${y}^2={x}^{3}+\left(9a+6\right){x}-12a+22$ |
| 147456.1-k2 |
147456.1-k |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.192300415$ |
1.376749931 |
\( 384 a - 768 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 24 a - 24\) , \( -96 a + 64\bigr] \) |
${y}^2={x}^{3}+\left(24a-24\right){x}-96a+64$ |
| 147456.1-l1 |
147456.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.708687946$ |
$1.192300415$ |
4.704872026 |
\( 10272 a - 15648 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 36 a + 24\) , \( -96 a + 176\bigr] \) |
${y}^2={x}^{3}+\left(36a+24\right){x}-96a+176$ |
| 147456.1-l2 |
147456.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.854343973$ |
$2.384600830$ |
4.704872026 |
\( 384 a - 768 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 6 a - 6\) , \( -12 a + 8\bigr] \) |
${y}^2={x}^{3}+\left(6a-6\right){x}-12a+8$ |
| 147456.1-m1 |
147456.1-m |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{3} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.130249794$ |
2.384600830 |
\( 10272 a - 15648 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 6 a - 3\) , \( a + 3\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-3\right){x}+a+3$ |
| 147456.1-m2 |
147456.1-m |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{3} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.065124897$ |
2.384600830 |
\( 384 a - 768 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a - 8\) , \( 6 a + 17\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-8\right){x}+6a+17$ |
| 147456.1-n1 |
147456.1-n |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{12} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.980802845$ |
$2.001801645$ |
4.534215143 |
\( -\frac{32224}{27} a + \frac{76576}{27} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -10 a + 14\) , \( -2 a - 4\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-10a+14\right){x}-2a-4$ |
| 147456.1-n2 |
147456.1-n |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.961605690$ |
$1.000900822$ |
4.534215143 |
\( \frac{290176}{9} a + \frac{48640}{9} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -55 a + 104\) , \( 250 a + 167\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-55a+104\right){x}+250a+167$ |
| 147456.1-o1 |
147456.1-o |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{10} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.700582340$ |
$2.478326877$ |
4.009748527 |
\( \frac{4000}{9} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a - 5\) , \( -7 a + 6\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-5\right){x}-7a+6$ |
| 147456.1-o2 |
147456.1-o |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{8} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.401164680$ |
$1.239163438$ |
4.009748527 |
\( \frac{16000}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 40\) , \( -106 a + 33\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+40\right){x}-106a+33$ |
| 147456.1-p1 |
147456.1-p |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{18} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.593183812$ |
1.369899334 |
\( -\frac{219488}{729} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 76\) , \( -790 a + 357\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+76\right){x}-790a+357$ |
| 147456.1-p2 |
147456.1-p |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{12} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.186367624$ |
1.369899334 |
\( \frac{19056256}{27} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 106\) , \( -520 a + 207\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+106\right){x}-520a+207$ |
| 147456.1-q1 |
147456.1-q |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{18} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.771151770$ |
$1.186367624$ |
4.852599265 |
\( -\frac{219488}{729} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -18 a\) , \( -108 a + 54\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-18a{x}-108a+54$ |
| 147456.1-q2 |
147456.1-q |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{12} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.542303541$ |
$0.593183812$ |
4.852599265 |
\( \frac{19056256}{27} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -423 a\) , \( -4158 a + 2079\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-423a{x}-4158a+2079$ |
| 147456.1-r1 |
147456.1-r |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{10} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.239163438$ |
2.861725379 |
\( \frac{4000}{9} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 21 a\) , \( -54 a + 27\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+21a{x}-54a+27$ |
| 147456.1-r2 |
147456.1-r |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{8} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.478326877$ |
2.861725379 |
\( \frac{16000}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -9 a\) , \( -18 a + 9\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-9a{x}-18a+9$ |
| 147456.1-s1 |
147456.1-s |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{3} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.329914840$ |
$2.065124897$ |
6.293721614 |
\( -10272 a - 5376 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 9 a + 12\) , \( -38 a + 29\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(9a+12\right){x}-38a+29$ |
| 147456.1-s2 |
147456.1-s |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{3} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.329914840$ |
$4.130249794$ |
6.293721614 |
\( -384 a - 384 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -a + 2\) , \( 1\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a+2\right){x}+1$ |
| 147456.1-t1 |
147456.1-t |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$2.384600830$ |
1.376749931 |
\( -10272 a - 5376 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 15 a - 6\) , \( 12 a + 10\bigr] \) |
${y}^2={x}^{3}+\left(15a-6\right){x}+12a+10$ |
| 147456.1-t2 |
147456.1-t |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.192300415$ |
1.376749931 |
\( -384 a - 384 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 24\) , \( 96 a - 32\bigr] \) |
${y}^2={x}^{3}+24{x}+96a-32$ |
| 147456.1-u1 |
147456.1-u |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{12} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.873430633$ |
$1.000900822$ |
4.037837393 |
\( \frac{32224}{27} a + \frac{4928}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -55 a + 44\) , \( -26 a - 61\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-55a+44\right){x}-26a-61$ |
| 147456.1-u2 |
147456.1-u |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.436715316$ |
$2.001801645$ |
4.037837393 |
\( -\frac{290176}{9} a + \frac{338816}{9} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -25 a + 14\) , \( -44 a + 59\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-25a+14\right){x}-44a+59$ |
| 147456.1-v1 |
147456.1-v |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{12} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.980802845$ |
$2.001801645$ |
4.534215143 |
\( \frac{32224}{27} a + \frac{4928}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 4 a - 14\) , \( 2 a - 6\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-14\right){x}+2a-6$ |
| 147456.1-v2 |
147456.1-v |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.961605690$ |
$1.000900822$ |
4.534215143 |
\( -\frac{290176}{9} a + \frac{338816}{9} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 49 a - 104\) , \( -250 a + 417\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(49a-104\right){x}-250a+417$ |
| 147456.1-w1 |
147456.1-w |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.708687946$ |
$1.192300415$ |
4.704872026 |
\( -10272 a - 5376 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 60 a - 24\) , \( 96 a + 80\bigr] \) |
${y}^2={x}^{3}+\left(60a-24\right){x}+96a+80$ |
| 147456.1-w2 |
147456.1-w |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.854343973$ |
$2.384600830$ |
4.704872026 |
\( -384 a - 384 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 6\) , \( 12 a - 4\bigr] \) |
${y}^2={x}^{3}+6{x}+12a-4$ |
| 147456.1-x1 |
147456.1-x |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{3} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.130249794$ |
2.384600830 |
\( -10272 a - 5376 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -4 a + 2\) , \( -6 a + 6\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-4a+2\right){x}-6a+6$ |
| 147456.1-x2 |
147456.1-x |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{3} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.065124897$ |
2.384600830 |
\( -384 a - 384 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a - 8\) , \( -6 a + 15\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a-8\right){x}-6a+15$ |
| 147456.1-y1 |
147456.1-y |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$2.384600830$ |
1.376749931 |
\( -10272 a - 5376 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 15 a - 6\) , \( -12 a - 10\bigr] \) |
${y}^2={x}^{3}+\left(15a-6\right){x}-12a-10$ |
| 147456.1-y2 |
147456.1-y |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147456.1 |
\( 2^{14} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{9} \) |
$3.03295$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.192300415$ |
1.376749931 |
\( -384 a - 384 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 24\) , \( -96 a + 32\bigr] \) |
${y}^2={x}^{3}+24{x}-96a+32$ |
*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.
