| 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 |
| 3072.1-c1 |
3072.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3072.1 |
\( 2^{10} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$1.15227$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$2.345364298$ |
1.354096709 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 8 a - 8\) , \( -8\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(8a-8\right){x}-8$ |
| 576.1-a1 |
576.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
576.1 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{8} \) |
$0.87554$ |
$(a+1), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$4.690728597$ |
1.172682149 |
\( \frac{97336}{81} \) |
\( \bigl[i + 1\) , \( -i\) , \( 0\) , \( -2\) , \( i\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-i{x}^{2}-2{x}+i$ |
| 9216.6-d1 |
9216.6-d |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
9216.6 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$2.31645$ |
$(a), (-a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.345364298$ |
1.772928762 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+8{x}-8$ |
| 288.2-a3 |
288.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{8} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.337900933$ |
$4.690728597$ |
1.120765359 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 2\) , \( 1\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+2{x}+1$ |
| 9216.2-c1 |
9216.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
9216.2 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$2.90383$ |
$(-a), (a-1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.345364298$ |
1.414307886 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+8{x}-8$ |
| 9216.1-h1 |
9216.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{-19}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$3.81637$ |
$(2), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$4.187809134$ |
$2.345364298$ |
9.013228486 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 576.2-a1 |
576.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-5}) \) |
$2$ |
$[0, 1]$ |
576.2 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$1.95776$ |
$(2,a+1), (3,a+1), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$4.690728597$ |
2.097757601 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 96.1-b1 |
96.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-6}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$1.37029$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$4.690728597$ |
1.914981930 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 288.1-d1 |
288.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-10}) \) |
$2$ |
$[0, 1]$ |
288.1 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$2.32818$ |
$(2,a), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$4.690728597$ |
2.966677250 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 9216.1-f1 |
9216.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-43}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$5.74128$ |
$(2), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.735707422$ |
$2.345364298$ |
2.483205115 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 576.1-b1 |
576.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-13}) \) |
$2$ |
$[0, 1]$ |
576.1 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$3.15679$ |
$(2,a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.166478915$ |
$4.690728597$ |
5.637065639 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 288.2-b1 |
288.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-14}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$2.75474$ |
$(2,a), (3,a+1), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$4.690728597$ |
2.507299900 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 9216.1-j1 |
9216.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{-67}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$7.16657$ |
$(2), (3)$ |
$0 \le r \le 1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
|
\( 2^{2} \) |
$1$ |
$2.345364298$ |
7.121662976 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 576.2-a1 |
576.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-17}) \) |
$2$ |
$[0, 1]$ |
576.2 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$3.60993$ |
$(2,a+1), (3,a+1), (3,a+2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.679954700$ |
$4.690728597$ |
3.822464069 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 192.1-b1 |
192.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-21}) \) |
$2$ |
$[0, 1]$ |
192.1 |
\( 2^{6} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$3.04862$ |
$(2,a+1), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$4.690728597$ |
2.047201796 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 288.1-a1 |
288.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-22}) \) |
$2$ |
$[0, 1]$ |
288.1 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$3.45325$ |
$(2,a), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.143225230$ |
$4.690728597$ |
4.573205920 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 288.2-a1 |
288.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-26}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$3.75408$ |
$(2,a), (3,a+1), (3,a+2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.791250808$ |
$4.690728597$ |
6.591283965 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 96.1-c1 |
96.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-30}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$3.06406$ |
$(2,a), (3,a)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1.786566211$ |
$4.690728597$ |
6.120103766 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 96.1-g1 |
96.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-42}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$3.62544$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$3.018256793$ |
$4.690728597$ |
4.369199173 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 96.1-c1 |
96.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-114}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$5.97295$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$2.201678084$ |
$4.690728597$ |
7.738052757 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 96.1-d1 |
96.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$0 \le r \le 2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
5.689651475 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 96.1-c1 |
96.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-186}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$7.62944$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$6.713470397$ |
$9.381457194$ |
4.618074209 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 96.1-c1 |
96.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-222}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$8.33514$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
1.259284360 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 96.1-c1 |
96.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-246}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$8.77413$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
1.196279728 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 288.1-c1 |
288.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
288.1 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{8} \) |
$1.04119$ |
$(a), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$8.017247373$ |
1.417262496 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 2\) , \( -1\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+2{x}-1$ |
| 192.1-b2 |
192.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
192.1 |
\( 2^{6} \cdot 3 \) |
\( 2^{6} \cdot 3^{8} \) |
$1.15227$ |
$(a+1), (a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.620169672$ |
$8.017247373$ |
1.435308265 |
\( \frac{97336}{81} \) |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -8 a + 13\) , \( 7 a - 13\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-8a+13\right){x}+7a-13$ |
| 96.1-b2 |
96.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{8} \) |
$1.37029$ |
$(-a+2), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$8.017247373$ |
1.636513767 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -38 a + 93\) , \( 159 a - 390\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-38a+93\right){x}+159a-390$ |
| 576.1-c1 |
576.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{7}) \) |
$2$ |
$[2, 0]$ |
576.1 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{8} \) |
$2.31645$ |
$(a+3), (-a+2), (-a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$8.017247373$ |
1.515117339 |
\( \frac{97336}{81} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -90 a + 250\) , \( 579 a - 1524\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-90a+250\right){x}+579a-1524$ |
| 288.1-q1 |
288.1-q |
$4$ |
$4$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
288.1 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$2.32818$ |
$(2,a), (3,a+1), (3,a+2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.574377078$ |
$8.017247373$ |
2.912409105 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+8{x}-8$ |
| 192.1-c1 |
192.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{15}) \) |
$2$ |
$[2, 0]$ |
192.1 |
\( 2^{6} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$2.57656$ |
$(2,a+1), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$8.017247373$ |
2.070044370 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+8{x}-8$ |
| 576.1-d2 |
576.1-d |
$8$ |
$16$ |
\(\Q(\zeta_{24})^+\) |
$4$ |
$[4, 0]$ |
576.1 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{16} \) |
$9.49364$ |
$(a^3-4a+1), (a^2-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.620169672$ |
$64.27625544$ |
3.321848692 |
\( \frac{97336}{81} \) |
\( \bigl[a^{3} - 3 a\) , \( -1\) , \( 0\) , \( 2\) , \( -1\bigr] \) |
${y}^2+\left(a^{3}-3a\right){x}{y}={x}^{3}-{x}^{2}+2{x}-1$ |
*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.
