| 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 |
| 12544.2-k1 |
12544.2-k |
$10$ |
$18$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
12544.2 |
\( 2^{8} \cdot 7^{2} \) |
\( 2^{60} \cdot 7^{2} \) |
$1.63798$ |
$(-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{2} \) |
$6.314005577$ |
$0.218854283$ |
3.191239339 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-2728{x}+55920$ |
| 98.1-a1 |
98.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$0.56231$ |
$(a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \) |
$1$ |
$0.875417135$ |
0.437708567 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -170\) , \( 874\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-170{x}+874$ |
| 1792.5-b1 |
1792.5-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1792.5 |
\( 2^{8} \cdot 7 \) |
\( 2^{60} \cdot 7^{2} \) |
$1.53823$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \) |
$3.507207167$ |
$0.218854283$ |
2.320905398 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-2728{x}+55920$ |
| 784.1-c1 |
784.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
784.1 |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{48} \cdot 7^{2} \) |
$1.33740$ |
$(a), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{2} \) |
$1$ |
$0.437708567$ |
2.785560266 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -682\) , \( -6990\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-682{x}-6990$ |
| 12544.1-l1 |
12544.1-l |
$6$ |
$18$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
12544.1 |
\( 2^{8} \cdot 7^{2} \) |
\( 2^{60} \cdot 7^{2} \) |
$3.13649$ |
$(2), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$36$ |
\( 2^{2} \) |
$1$ |
$0.218854283$ |
4.751067554 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-2728{x}+55920$ |
| 12544.2-b1 |
12544.2-b |
$6$ |
$18$ |
\(\Q(\sqrt{-19}) \) |
$2$ |
$[0, 1]$ |
12544.2 |
\( 2^{8} \cdot 7^{2} \) |
\( 2^{60} \cdot 7^{2} \) |
$4.12216$ |
$(-a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$25.91219860$ |
$0.218854283$ |
5.204062531 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \) |
${y}^2={x}^3-{x}^2-2728{x}+55920$ |
| 98.2-b1 |
98.2-b |
$6$ |
$18$ |
\(\Q(\sqrt{-5}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$1.25736$ |
$(2,a+1), (7,a+3), (7,a+4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.875417135$ |
3.523486001 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -168\) , \( 875\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2-168{x}+875$ |
| 784.2-e1 |
784.2-e |
$6$ |
$18$ |
\(\Q(\sqrt{-6}) \) |
$2$ |
$[0, 1]$ |
784.2 |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{60} \cdot 7^{2} \) |
$2.31645$ |
$(2,a), (a+1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$13.29619660$ |
$0.437708567$ |
4.751895113 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \) |
${y}^2={x}^3-{x}^2-2728{x}+55920$ |
| 784.2-c1 |
784.2-c |
$6$ |
$18$ |
\(\Q(\sqrt{-10}) \) |
$2$ |
$[0, 1]$ |
784.2 |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{60} \cdot 7^{2} \) |
$2.99053$ |
$(2,a), (7,a+2), (7,a+5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$11.98137391$ |
$0.437708567$ |
3.316818178 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \) |
${y}^2={x}^3-{x}^2-2728{x}+55920$ |
| 12544.1-d1 |
12544.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{-43}) \) |
$2$ |
$[0, 1]$ |
12544.1 |
\( 2^{8} \cdot 7^{2} \) |
\( 2^{60} \cdot 7^{2} \) |
$6.20129$ |
$(2), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$36$ |
\( 2^{2} \) |
$1$ |
$0.218854283$ |
2.402997508 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \) |
${y}^2={x}^3-{x}^2-2728{x}+55920$ |
| 98.2-b1 |
98.2-b |
$6$ |
$18$ |
\(\Q(\sqrt{-13}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$2.02743$ |
$(2,a+1), (7,a+1), (7,a+6)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.875417135$ |
2.185173255 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -167\) , \( 1043\bigr] \) |
${y}^2+a{x}{y}={x}^3-167{x}+1043$ |
| 112.1-e1 |
112.1-e |
$6$ |
$18$ |
\(\Q(\sqrt{-14}) \) |
$2$ |
$[0, 1]$ |
112.1 |
\( 2^{4} \cdot 7 \) |
\( 2^{60} \cdot 7^{2} \) |
$2.17539$ |
$(2,a), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$12.63051067$ |
$0.437708567$ |
5.910196647 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \) |
${y}^2={x}^3-{x}^2-2728{x}+55920$ |
| 98.2-b1 |
98.2-b |
$6$ |
$18$ |
\(\Q(\sqrt{-17}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$2.31846$ |
$(2,a+1), (7,a+2), (7,a+5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2 \) |
$22.21188743$ |
$0.875417135$ |
4.716024430 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -167\) , \( 1043\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2-167{x}+1043$ |
| 14.1-d1 |
14.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{-21}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 7^{2} \) |
$1.58420$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.875417135$ |
3.438570245 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -147\) , \( 1211\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2-147{x}+1211$ |
| 784.1-c1 |
784.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-22}) \) |
$2$ |
$[0, 1]$ |
784.1 |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{60} \cdot 7^{2} \) |
$4.43567$ |
$(2,a), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$25.04165481$ |
$0.437708567$ |
9.347526888 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \) |
${y}^2={x}^3-{x}^2-2728{x}+55920$ |
| 784.2-j1 |
784.2-j |
$6$ |
$18$ |
\(\Q(\sqrt{-26}) \) |
$2$ |
$[0, 1]$ |
784.2 |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{60} \cdot 7^{2} \) |
$4.82208$ |
$(2,a), (7,a+3), (7,a+4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$74.32372836$ |
$0.437708567$ |
12.76015225 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \) |
${y}^2={x}^3-{x}^2-2728{x}+55920$ |
| 784.1-k1 |
784.1-k |
$6$ |
$18$ |
\(\Q(\sqrt{-30}) \) |
$2$ |
$[0, 1]$ |
784.1 |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{60} \cdot 7^{2} \) |
$5.17974$ |
$(2,a), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3Cs |
$36$ |
\( 2^{2} \) |
$1$ |
$0.437708567$ |
2.876914273 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \) |
${y}^2={x}^3-{x}^2-2728{x}+55920$ |
| 98.2-a1 |
98.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-33}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$3.23022$ |
$(2,a+1), (7,a+3), (7,a+4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2 \) |
$7.868447511$ |
$0.875417135$ |
4.796308581 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -142\) , \( 1356\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2-142{x}+1356$ |
| 98.1-b1 |
98.1-b |
$6$ |
$18$ |
\(\Q(\sqrt{-37}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$3.42039$ |
$(2,a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$2.817069585$ |
$0.875417135$ |
7.297670676 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -142\) , \( 1356\bigr] \) |
${y}^2+a{x}{y}={x}^3-142{x}+1356$ |
| 98.2-a1 |
98.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-41}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$3.60053$ |
$(2,a+1), (7,a+1), (7,a+6)$ |
$0 \le r \le 1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
|
\( 2 \) |
$1$ |
$0.875417135$ |
7.021517895 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -142\) , \( 1356\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2-142{x}+1356$ |
| 98.1-a1 |
98.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-53}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$4.09367$ |
$(2,a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$7.993964870$ |
$0.875417135$ |
17.30261916 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -94\) , \( 1501\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2-94{x}+1501$ |
| 98.1-c1 |
98.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-57}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$4.24534$ |
$(2,a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$36$ |
\( 2 \) |
$1$ |
$0.875417135$ |
2.087132978 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -93\) , \( 1595\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2-93{x}+1595$ |
| 98.2-a1 |
98.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-61}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$4.39177$ |
$(2,a+1), (7,a+3), (7,a+4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.875417135$ |
1.008771107 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -93\) , \( 1595\bigr] \) |
${y}^2+a{x}{y}={x}^3-93{x}+1595$ |
| 98.1-h1 |
98.1-h |
$6$ |
$18$ |
\(\Q(\sqrt{-65}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$4.53348$ |
$(2,a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$36$ |
\( 2 \) |
$1$ |
$0.875417135$ |
1.954478376 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -93\) , \( 1595\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2-93{x}+1595$ |
| 98.2-a1 |
98.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-69}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$4.67089$ |
$(2,a+1), (7,a+1), (7,a+6)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.875417135$ |
3.793962190 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -25\) , \( 1689\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2-25{x}+1689$ |
| 98.2-a1 |
98.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-73}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$4.80437$ |
$(2,a+1), (7,a+2), (7,a+5)$ |
$0 \le r \le 1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
|
\( 2 \) |
$1$ |
$0.875417135$ |
3.743250955 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -23\) , \( 1690\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-23{x}+1690$ |
| 14.1-d1 |
14.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{-77}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 7^{2} \) |
$3.03351$ |
$(2,a+1), (7,a)$ |
$0 \le r \le 2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.875417135$ |
7.182938978 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -21\) , \( 1691\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2-21{x}+1691$ |
| 98.1-a1 |
98.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-85}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$5.18423$ |
$(2,a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$6.462644431$ |
$0.875417135$ |
11.04557547 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -20\) , \( 1712\bigr] \) |
${y}^2+a{x}{y}={x}^3-20{x}+1712$ |
| 98.2-c1 |
98.2-c |
$6$ |
$18$ |
\(\Q(\sqrt{-89}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$5.30481$ |
$(2,a+1), (7,a+3), (7,a+4)$ |
$0 \le r \le 1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
|
\( 2 \) |
$1$ |
$0.875417135$ |
10.07601692 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -20\) , \( 1712\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2-20{x}+1712$ |
| 98.1-a1 |
98.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-93}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$5.42271$ |
$(2,a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$10.62213171$ |
$0.875417135$ |
17.35632430 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 72\) , \( 1733\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2+72{x}+1733$ |
| 98.2-a1 |
98.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-97}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$5.53810$ |
$(2,a+1), (7,a+1), (7,a+6)$ |
$0 \le r \le 1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
|
\( 2 \) |
$1$ |
$0.875417135$ |
3.340478536 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 74\) , \( 1734\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+74{x}+1734$ |
| 98.2-b1 |
98.2-b |
$6$ |
$18$ |
\(\Q(\sqrt{-101}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$5.65114$ |
$(2,a+1), (7,a+2), (7,a+5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$9$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.875417135$ |
7.055688112 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 76\) , \( 1735\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+76{x}+1735$ |
| 14.1-c1 |
14.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 7^{2} \) |
$3.54238$ |
$(2,a+1), (7,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \) |
$6.531492681$ |
$0.875417135$ |
4.463986012 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 77\) , \( 1659\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+77{x}+1659$ |
| 98.1-b1 |
98.1-b |
$6$ |
$18$ |
\(\Q(\sqrt{-109}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$5.87068$ |
$(2,a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$6.242595907$ |
$0.875417135$ |
9.421922389 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 77\) , \( 1659\bigr] \) |
${y}^2+a{x}{y}={x}^3+77{x}+1659$ |
| 98.1-d1 |
98.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{-113}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$5.97743$ |
$(2,a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$36$ |
\( 2 \) |
$1$ |
$0.875417135$ |
1.482341701 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 77\) , \( 1659\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2+77{x}+1659$ |
| 98.2-b1 |
98.2-b |
$6$ |
$18$ |
\(\Q(\sqrt{-129}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$6.38660$ |
$(2,a+1), (7,a+2), (7,a+5)$ |
$0 \le r \le 1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
|
\( 2 \) |
$1$ |
$1.750834270$ |
3.716531963 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 198\) , \( 1388\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+198{x}+1388$ |
| 14.1-c1 |
14.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-133}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 7^{2} \) |
$3.98682$ |
$(2,a+1), (7,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.875417135$ |
1.366349265 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 198\) , \( 1388\bigr] \) |
${y}^2+a{x}{y}={x}^3+198{x}+1388$ |
| 98.1-d1 |
98.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{-137}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$6.58166$ |
$(2,a+1), (7)$ |
$0 \le r \le 2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$144$ |
\( 2 \) |
$1$ |
$1.750834270$ |
5.385019198 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 198\) , \( 1388\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2+198{x}+1388$ |
| 98.1-c1 |
98.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-141}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$6.67705$ |
$(2,a+1), (7)$ |
$0 \le r \le 1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
|
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$1.750834270$ |
17.30654560 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 338\) , \( 1191\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2+338{x}+1191$ |
| 98.2-a1 |
98.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-145}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$6.77110$ |
$(2,a+1), (7,a+3), (7,a+4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2 \) |
$16.35778132$ |
$1.750834270$ |
4.756805911 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 340\) , \( 1192\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+340{x}+1192$ |
| 98.1-b1 |
98.1-b |
$6$ |
$18$ |
\(\Q(\sqrt{-149}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$6.86386$ |
$(2,a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$22.61171955$ |
$1.750834270$ |
29.18959064 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 342\) , \( 1193\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+342{x}+1193$ |
| 98.2-b1 |
98.2-b |
$6$ |
$18$ |
\(\Q(\sqrt{-157}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$7.04571$ |
$(2,a+1), (7,a+2), (7,a+5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$1.750834270$ |
0.628793040 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 343\) , \( 851\bigr] \) |
${y}^2+a{x}{y}={x}^3+343{x}+851$ |
| 14.1-c1 |
14.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-161}) \) |
$2$ |
$[0, 1]$ |
14.1 |
\( 2 \cdot 7 \) |
\( 2^{36} \cdot 7^{2} \) |
$4.38645$ |
$(2,a+1), (7,a)$ |
$0 \le r \le 1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
|
\( 2^{2} \) |
$1$ |
$0.875417135$ |
9.392800206 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 343\) , \( 851\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2+343{x}+851$ |
| 98.1-g1 |
98.1-g |
$6$ |
$18$ |
\(\Q(\sqrt{-165}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$7.22299$ |
$(2,a+1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{2} \cdot 3^{2} \) |
$2.948159951$ |
$1.750834270$ |
14.46627144 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 507\) , \( 509\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2+507{x}+509$ |
| 98.2-b1 |
98.2-b |
$6$ |
$18$ |
\(\Q(\sqrt{-173}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$7.39602$ |
$(2,a+1), (7,a+3), (7,a+4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$1.750834270$ |
0.599010590 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 511\) , \( 511\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+511{x}+511$ |
| 98.1-f1 |
98.1-f |
$6$ |
$18$ |
\(\Q(\sqrt{-177}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$7.48104$ |
$(2,a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$36$ |
\( 2 \) |
$1$ |
$1.750834270$ |
1.184406862 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 512\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+512{x}$ |
| 98.2-b1 |
98.2-b |
$6$ |
$18$ |
\(\Q(\sqrt{-181}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$7.56509$ |
$(2,a+1), (7,a+1), (7,a+6)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$1.750834270$ |
0.585623188 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 512\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^3+512{x}$ |
| 98.2-b1 |
98.2-b |
$6$ |
$18$ |
\(\Q(\sqrt{-185}) \) |
$2$ |
$[0, 1]$ |
98.2 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$7.64823$ |
$(2,a+1), (7,a+2), (7,a+5)$ |
$0 \le r \le 1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
|
\( 2 \) |
$1$ |
$1.750834270$ |
11.83481892 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 512\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2+512{x}$ |
| 98.1-c1 |
98.1-c |
$6$ |
$18$ |
\(\Q(\sqrt{-193}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$7.81185$ |
$(2,a+1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
$36$ |
\( 2 \) |
$1$ |
$1.750834270$ |
1.134250276 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 702\) , \( -510\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+702{x}-510$ |
| 98.1-b1 |
98.1-b |
$6$ |
$18$ |
\(\Q(\sqrt{-197}) \) |
$2$ |
$[0, 1]$ |
98.1 |
\( 2 \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$7.89238$ |
$(2,a+1), (7)$ |
$0 \le r \le 1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3Cs |
|
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$1.750834270$ |
29.63656292 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 704\) , \( -509\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+704{x}-509$ |
*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.
