| 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 |
| 256.1-a1 |
256.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{32} \) |
$1.92485$ |
$(2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.1 |
$4$ |
\( 2^{2} \) |
$1$ |
$0.980251637$ |
2.912450549 |
\( -\frac{1030301}{16} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -168 a - 368\) , \( -2160 a - 4736\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-168a-368\right){x}-2160a-4736$ |
| 256.1-a2 |
256.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{64} \) |
$1.92485$ |
$(2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.2 |
$4$ |
\( 2^{2} \) |
$1$ |
$0.980251637$ |
2.912450549 |
\( \frac{237176659}{1048576} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 1032 a + 2272\) , \( 77520 a + 169984\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(1032a+2272\right){x}+77520a+169984$ |
| 256.1-b1 |
256.1-b |
$2$ |
$7$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{16} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$7$ |
7B |
$1$ |
\( 2 \) |
$1.290254109$ |
$3.491576629$ |
3.346245661 |
\( -58240 a - 127696 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 0\) , \( 20 a - 64\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+20a-64$ |
| 256.1-b2 |
256.1-b |
$2$ |
$7$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{16} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$7$ |
7B |
$1$ |
\( 2 \) |
$0.184322015$ |
$24.44103640$ |
3.346245661 |
\( 58240 a - 185936 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 0\) , \( 20 a + 44\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+20a+44$ |
| 256.1-c1 |
256.1-c |
$1$ |
$1$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{20} \) |
$1.92485$ |
$(2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$6.800993897$ |
2.525825723 |
\( -164 a + 100 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -a + 3\) , \( -a + 3\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-a+3\right){x}-a+3$ |
| 256.1-d1 |
256.1-d |
$4$ |
$15$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$3, 5$ |
3B, 5B |
$1$ |
\( 2 \) |
$0.556634139$ |
$4.826130850$ |
1.995399799 |
\( -1407628760845 a - 3086342051803 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -2 a - 73\) , \( 495 a - 1241\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a-73\right){x}+495a-1241$ |
| 256.1-d2 |
256.1-d |
$4$ |
$15$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$3, 5$ |
3B, 5B |
$1$ |
\( 2 \) |
$0.185544713$ |
$14.47839255$ |
1.995399799 |
\( -3515 a - 7688 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -2 a + 7\) , \( -17 a + 55\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a+7\right){x}-17a+55$ |
| 256.1-d3 |
256.1-d |
$4$ |
$15$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$3, 5$ |
3B, 5B |
$1$ |
\( 2 \) |
$2.783170698$ |
$0.965226170$ |
1.995399799 |
\( 1407628760845 a - 4493970812648 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 2 a - 75\) , \( 495 a + 746\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(2a-75\right){x}+495a+746$ |
| 256.1-d4 |
256.1-d |
$4$ |
$15$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$3, 5$ |
3B, 5B |
$1$ |
\( 2 \) |
$0.927723566$ |
$2.895678510$ |
1.995399799 |
\( 3515 a - 11203 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 2 a + 5\) , \( -17 a - 38\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(2a+5\right){x}-17a-38$ |
| 256.1-e1 |
256.1-e |
$1$ |
$1$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{20} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$0.376173555$ |
$11.17632471$ |
3.122829444 |
\( 164 a - 64 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( a + 2\) , \( -a - 2\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(a+2\right){x}-a-2$ |
| 256.1-f1 |
256.1-f |
$2$ |
$5$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{32} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 2 \) |
$1.267823744$ |
$3.458538483$ |
3.256960458 |
\( -\frac{1030301}{16} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a - 31\) , \( -39 a + 4\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a-31\right){x}-39a+4$ |
| 256.1-f2 |
256.1-f |
$2$ |
$5$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{64} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 2 \) |
$6.339118722$ |
$0.691707696$ |
3.256960458 |
\( \frac{237176659}{1048576} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 209\) , \( 1161 a - 476\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+209\right){x}+1161a-476$ |
| 256.1-g1 |
256.1-g |
$1$ |
$1$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{20} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$0.376173555$ |
$11.17632471$ |
3.122829444 |
\( -164 a + 100 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -a + 3\) , \( a - 3\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-a+3\right){x}+a-3$ |
| 256.1-h1 |
256.1-h |
$4$ |
$15$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.92485$ |
$(2)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$3, 5$ |
3B, 5B |
$1$ |
\( 2^{2} \) |
$0.103947800$ |
$9.111716899$ |
2.814080433 |
\( -1407628760845 a - 3086342051803 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -404 a - 888\) , \( 6724 a + 14760\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-404a-888\right){x}+6724a+14760$ |
| 256.1-h2 |
256.1-h |
$4$ |
$15$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.92485$ |
$(2)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$3, 5$ |
3B, 5B |
$1$ |
\( 2^{2} \) |
$0.103947800$ |
$9.111716899$ |
2.814080433 |
\( -3515 a - 7688 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -4 a - 8\) , \( 4 a + 8\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-4a-8\right){x}+4a+8$ |
| 256.1-h3 |
256.1-h |
$4$ |
$15$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.92485$ |
$(2)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$3, 5$ |
3B, 5B |
$1$ |
\( 2^{2} \) |
$0.103947800$ |
$9.111716899$ |
2.814080433 |
\( 1407628760845 a - 4493970812648 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 406 a - 1293\) , \( -7129 a + 22777\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(406a-1293\right){x}-7129a+22777$ |
| 256.1-h4 |
256.1-h |
$4$ |
$15$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.92485$ |
$(2)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$3, 5$ |
3B, 5B |
$1$ |
\( 2^{2} \) |
$0.103947800$ |
$9.111716899$ |
2.814080433 |
\( 3515 a - 11203 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 6 a - 13\) , \( -9 a + 25\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-13\right){x}-9a+25$ |
| 256.1-i1 |
256.1-i |
$4$ |
$15$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$3, 5$ |
3B, 5B |
$1$ |
\( 2 \) |
$2.783170698$ |
$0.965226170$ |
1.995399799 |
\( -1407628760845 a - 3086342051803 \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -2 a - 73\) , \( -495 a + 1241\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a-73\right){x}-495a+1241$ |
| 256.1-i2 |
256.1-i |
$4$ |
$15$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$3, 5$ |
3B, 5B |
$1$ |
\( 2 \) |
$0.927723566$ |
$2.895678510$ |
1.995399799 |
\( -3515 a - 7688 \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -2 a + 7\) , \( 17 a - 55\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a+7\right){x}+17a-55$ |
| 256.1-i3 |
256.1-i |
$4$ |
$15$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$3, 5$ |
3B, 5B |
$1$ |
\( 2 \) |
$0.556634139$ |
$4.826130850$ |
1.995399799 |
\( 1407628760845 a - 4493970812648 \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 2 a - 75\) , \( -495 a - 746\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(2a-75\right){x}-495a-746$ |
| 256.1-i4 |
256.1-i |
$4$ |
$15$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$3, 5$ |
3B, 5B |
$1$ |
\( 2 \) |
$0.185544713$ |
$14.47839255$ |
1.995399799 |
\( 3515 a - 11203 \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 2 a + 5\) , \( 17 a + 38\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(2a+5\right){x}+17a+38$ |
| 256.1-j1 |
256.1-j |
$1$ |
$1$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{20} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$0.139431063$ |
$14.93171855$ |
3.092860446 |
\( -164 a + 100 \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -3 a - 3\) , \( 7 a + 14\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-3a-3\right){x}+7a+14$ |
| 256.1-k1 |
256.1-k |
$2$ |
$7$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{16} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$7$ |
7B |
$1$ |
\( 2 \) |
$0.184322015$ |
$24.44103640$ |
3.346245661 |
\( -58240 a - 127696 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 0\) , \( -20 a + 64\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-20a+64$ |
| 256.1-k2 |
256.1-k |
$2$ |
$7$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{16} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$7$ |
7B |
$1$ |
\( 2 \) |
$1.290254109$ |
$3.491576629$ |
3.346245661 |
\( 58240 a - 185936 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 0\) , \( -20 a - 44\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-20a-44$ |
| 256.1-l1 |
256.1-l |
$1$ |
$1$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{20} \) |
$1.92485$ |
$(2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$6.800993897$ |
2.525825723 |
\( 164 a - 64 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( a + 2\) , \( a + 2\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(a+2\right){x}+a+2$ |
| 256.1-m1 |
256.1-m |
$2$ |
$5$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{32} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 2 \) |
$1.267823744$ |
$3.458538483$ |
3.256960458 |
\( -\frac{1030301}{16} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a - 31\) , \( 39 a - 4\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-31\right){x}+39a-4$ |
| 256.1-m2 |
256.1-m |
$2$ |
$5$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{64} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 2 \) |
$6.339118722$ |
$0.691707696$ |
3.256960458 |
\( \frac{237176659}{1048576} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 209\) , \( -1161 a + 476\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+209\right){x}-1161a+476$ |
| 256.1-n1 |
256.1-n |
$1$ |
$1$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{20} \) |
$1.92485$ |
$(2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$0.139431063$ |
$14.93171855$ |
3.092860446 |
\( 164 a - 64 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 3 a - 6\) , \( -7 a + 21\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(3a-6\right){x}-7a+21$ |
| 256.1-o1 |
256.1-o |
$2$ |
$7$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{16} \) |
$1.92485$ |
$(2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$7$ |
7B |
$1$ |
\( 1 \) |
$1$ |
$14.06852494$ |
2.612459497 |
\( -58240 a - 127696 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -2 a - 1\) , \( 3 a + 7\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a-1\right){x}+3a+7$ |
| 256.1-o2 |
256.1-o |
$2$ |
$7$ |
\(\Q(\sqrt{29}) \) |
$2$ |
$[2, 0]$ |
256.1 |
\( 2^{8} \) |
\( 2^{16} \) |
$1.92485$ |
$(2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$7$ |
7B |
$1$ |
\( 1 \) |
$1$ |
$14.06852494$ |
2.612459497 |
\( 58240 a - 185936 \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 2 a - 3\) , \( -3 a + 10\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(2a-3\right){x}-3a+10$ |
*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.
