| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 83205.a1 |
83205x1 |
83205.a |
83205x |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{12} \cdot 5^{2} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17031168$ |
$3.272369$ |
$-645008376471556096/783675$ |
$1.01002$ |
$6.19353$ |
$1$ |
$[0, 0, 1, -299543547, -1995437208780]$ |
\(y^2+y=x^3-299543547x-1995437208780\) |
86.2.0.? |
$[ ]$ |
$1$ |
| 83205.b1 |
83205w1 |
83205.b |
83205w |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{12} \cdot 5^{2} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2838528$ |
$2.242352$ |
$99897344/783675$ |
$0.89128$ |
$4.42302$ |
$1$ |
$[0, 0, 1, 160863, 87994372]$ |
\(y^2+y=x^3+160863x+87994372\) |
86.2.0.? |
$[ ]$ |
$1$ |
| 83205.c1 |
83205k1 |
83205.c |
83205k |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{6} \cdot 5^{7} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3034080$ |
$2.678310$ |
$19630919/78125$ |
$0.90056$ |
$4.87639$ |
$1$ |
$[1, -1, 1, 1147882, -1147828894]$ |
\(y^2+xy+y=x^3-x^2+1147882x-1147828894\) |
20.2.0.a.1 |
$[ ]$ |
$1$ |
| 83205.d1 |
83205d2 |
83205.d |
83205d |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{9} \cdot 5^{7} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$99348480$ |
$4.261139$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$7.31644$ |
$1$ |
$[1, -1, 1, -20801294723, -1154733349581044]$ |
\(y^2+xy+y=x^3-x^2-20801294723x-1154733349581044\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 83205.d2 |
83205d1 |
83205.d |
83205d |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{9} \cdot 5^{14} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$49674240$ |
$3.914562$ |
$1953326569433829507/262451171875$ |
$1.01058$ |
$6.58225$ |
$1$ |
$[1, -1, 1, -1300122848, -18041242862294]$ |
\(y^2+xy+y=x^3-x^2-1300122848x-18041242862294\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 83205.e1 |
83205b1 |
83205.e |
83205b |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{9} \cdot 5 \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$2.611152112$ |
$1$ |
|
$8$ |
$20160$ |
$0.307421$ |
$31347/5$ |
$0.67020$ |
$2.45058$ |
$1$ |
$[1, -1, 1, -218, -998]$ |
\(y^2+xy+y=x^3-x^2-218x-998\) |
60.2.0.a.1 |
$[(-8, 17), (20, 38)]$ |
$1$ |
| 83205.f1 |
83205a1 |
83205.f |
83205a |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{3} \cdot 5 \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$6.242235751$ |
$1$ |
|
$2$ |
$288960$ |
$1.638716$ |
$31347/5$ |
$0.67020$ |
$3.86072$ |
$1$ |
$[1, -1, 1, -44723, -3087108]$ |
\(y^2+xy+y=x^3-x^2-44723x-3087108\) |
60.2.0.a.1 |
$[(396, 6219)]$ |
$1$ |
| 83205.g1 |
83205j1 |
83205.g |
83205j |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{21} \cdot 5 \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$10402560$ |
$3.291893$ |
$539033907481/71744535$ |
$0.95490$ |
$5.62221$ |
$1$ |
$[1, -1, 1, -34630268, 68838843912]$ |
\(y^2+xy+y=x^3-x^2-34630268x+68838843912\) |
60.2.0.a.1 |
$[ ]$ |
$1$ |
| 83205.h1 |
83205c2 |
83205.h |
83205c |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{9} \cdot 5 \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1419264$ |
$2.322311$ |
$2315685267/9245$ |
$1.00157$ |
$4.76806$ |
$1$ |
$[1, -1, 1, -1376003, -618774524]$ |
\(y^2+xy+y=x^3-x^2-1376003x-618774524\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 83205.h2 |
83205c1 |
83205.h |
83205c |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{9} \cdot 5^{2} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$709632$ |
$1.975739$ |
$1860867/1075$ |
$0.91503$ |
$4.13902$ |
$1$ |
$[1, -1, 1, -127928, 769906]$ |
\(y^2+xy+y=x^3-x^2-127928x+769906\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 83205.i1 |
83205p2 |
83205.i |
83205p |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{11} \cdot 5^{10} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$0.577502442$ |
$1$ |
|
$8$ |
$1337600$ |
$2.101421$ |
$206246988924787/2373046875$ |
$1.00677$ |
$4.48716$ |
$1$ |
$[1, -1, 1, -476357, -125162044]$ |
\(y^2+xy+y=x^3-x^2-476357x-125162044\) |
2.3.0.a.1, 60.6.0.d.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-384, 1204)]$ |
$1$ |
| 83205.i2 |
83205p1 |
83205.i |
83205p |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{16} \cdot 5^{5} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1.155004885$ |
$1$ |
|
$7$ |
$668800$ |
$1.754847$ |
$-444194947/184528125$ |
$1.05268$ |
$3.91601$ |
$1$ |
$[1, -1, 1, -6152, -4977646]$ |
\(y^2+xy+y=x^3-x^2-6152x-4977646\) |
2.3.0.a.1, 60.6.0.d.1, 430.6.0.?, 516.6.0.?, 2580.12.0.? |
$[(312, 4681)]$ |
$1$ |
| 83205.j1 |
83205u8 |
83205.j |
83205u |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{10} \cdot 5 \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$20640$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$0$ |
$2580480$ |
$2.720776$ |
$1114544804970241/405$ |
$1.07354$ |
$5.63207$ |
$2$ |
$[1, -1, 1, -35944907, -82938676714]$ |
\(y^2+xy+y=x^3-x^2-35944907x-82938676714\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[ ]$ |
$1$ |
| 83205.j2 |
83205u6 |
83205.j |
83205u |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{14} \cdot 5^{2} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.123 |
2Cs |
$10320$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$2$ |
$1290240$ |
$2.374203$ |
$272223782641/164025$ |
$1.03897$ |
$4.89791$ |
$1$ |
$[1, -1, 1, -2246882, -1295101744]$ |
\(y^2+xy+y=x^3-x^2-2246882x-1295101744\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$ |
$[ ]$ |
$1$ |
| 83205.j3 |
83205u7 |
83205.j |
83205u |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{22} \cdot 5 \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$20640$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2580480$ |
$2.720776$ |
$-147281603041/215233605$ |
$1.05949$ |
$4.95491$ |
$2$ |
$[1, -1, 1, -1830857, -1789838674]$ |
\(y^2+xy+y=x^3-x^2-1830857x-1789838674\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[ ]$ |
$1$ |
| 83205.j4 |
83205u4 |
83205.j |
83205u |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{7} \cdot 5 \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$20640$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$645120$ |
$2.027630$ |
$56667352321/15$ |
$1.03019$ |
$4.75938$ |
$2$ |
$[1, -1, 1, -1331627, 591787964]$ |
\(y^2+xy+y=x^3-x^2-1331627x+591787964\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$ |
$[ ]$ |
$1$ |
| 83205.j5 |
83205u3 |
83205.j |
83205u |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{10} \cdot 5^{4} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.44 |
2Cs |
$10320$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$645120$ |
$2.027630$ |
$111284641/50625$ |
$1.02534$ |
$4.20922$ |
$1$ |
$[1, -1, 1, -166757, -12080644]$ |
\(y^2+xy+y=x^3-x^2-166757x-12080644\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$ |
$[ ]$ |
$1$ |
| 83205.j6 |
83205u2 |
83205.j |
83205u |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{8} \cdot 5^{2} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.3 |
2Cs |
$10320$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$322560$ |
$1.681055$ |
$13997521/225$ |
$0.96230$ |
$4.02622$ |
$1$ |
$[1, -1, 1, -83552, 9186554]$ |
\(y^2+xy+y=x^3-x^2-83552x+9186554\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$ |
$[ ]$ |
$1$ |
| 83205.j7 |
83205u1 |
83205.j |
83205u |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{7} \cdot 5 \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$20640$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$161280$ |
$1.334482$ |
$-1/15$ |
$1.19808$ |
$3.47087$ |
$2$ |
$[1, -1, 1, -347, 400106]$ |
\(y^2+xy+y=x^3-x^2-347x+400106\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$ |
$[ ]$ |
$1$ |
| 83205.j8 |
83205u5 |
83205.j |
83205u |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{8} \cdot 5^{8} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$20640$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$2.374203$ |
$4733169839/3515625$ |
$1.05585$ |
$4.54025$ |
$2$ |
$[1, -1, 1, 582088, -91158676]$ |
\(y^2+xy+y=x^3-x^2+582088x-91158676\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 83205.k1 |
83205o1 |
83205.k |
83205o |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{11} \cdot 5^{5} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$0.748720272$ |
$1$ |
|
$4$ |
$5779200$ |
$2.919147$ |
$7037694889/759375$ |
$0.91796$ |
$5.23925$ |
$1$ |
$[1, -1, 1, -8154437, 8086114086]$ |
\(y^2+xy+y=x^3-x^2-8154437x+8086114086\) |
60.2.0.a.1 |
$[(3236, 123189)]$ |
$1$ |
| 83205.l1 |
83205l1 |
83205.l |
83205l |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{6} \cdot 5^{4} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$2.960078088$ |
$1$ |
|
$0$ |
$473088$ |
$1.985695$ |
$-56623104/26875$ |
$0.99851$ |
$4.20244$ |
$1$ |
$[0, 0, 1, -133128, -25223596]$ |
\(y^2+y=x^3-133128x-25223596\) |
86.2.0.? |
$[(7009/4, 46193/4)]$ |
$1$ |
| 83205.m1 |
83205q1 |
83205.m |
83205q |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{18} \cdot 5^{8} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$22708224$ |
$3.595665$ |
$660867352100864/8926548046875$ |
$1.07121$ |
$5.86014$ |
$1$ |
$[0, 0, 1, 30197868, 301898156512]$ |
\(y^2+y=x^3+30197868x+301898156512\) |
86.2.0.? |
$[ ]$ |
$1$ |
| 83205.n1 |
83205n1 |
83205.n |
83205n |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{11} \cdot 5^{5} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$5.005903228$ |
$1$ |
|
$2$ |
$134400$ |
$1.038548$ |
$7037694889/759375$ |
$0.91796$ |
$3.24728$ |
$1$ |
$[1, -1, 0, -4410, -100575]$ |
\(y^2+xy=x^3-x^2-4410x-100575\) |
60.2.0.a.1 |
$[(112, 839)]$ |
$1$ |
| 83205.o1 |
83205m4 |
83205.o |
83205m |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{7} \cdot 5^{4} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$6.408972218$ |
$1$ |
|
$2$ |
$2601984$ |
$2.616550$ |
$36097320816649/80625$ |
$0.94094$ |
$5.32931$ |
$2$ |
$[1, -1, 0, -11457675, 14930534736]$ |
\(y^2+xy=x^3-x^2-11457675x+14930534736\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[(156, 114582)]$ |
$1$ |
| 83205.o2 |
83205m3 |
83205.o |
83205m |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{7} \cdot 5 \cdot 43^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$25.63588887$ |
$1$ |
|
$0$ |
$2601984$ |
$2.616550$ |
$184122897769/51282015$ |
$1.05622$ |
$4.86340$ |
$2$ |
$[1, -1, 0, -1972305, -767353230]$ |
\(y^2+xy=x^3-x^2-1972305x-767353230\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.3, 60.12.0.h.1, $\ldots$ |
$[(-49235990117/10682, 2446818923658157/10682)]$ |
$1$ |
| 83205.o3 |
83205m2 |
83205.o |
83205m |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{8} \cdot 5^{2} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$12.81794443$ |
$1$ |
|
$2$ |
$1300992$ |
$2.269978$ |
$9116230969/416025$ |
$0.87424$ |
$4.59810$ |
$1$ |
$[1, -1, 0, -724230, 227861775]$ |
\(y^2+xy=x^3-x^2-724230x+227861775\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.2, 60.24.0-60.a.1.8, 172.12.0.?, $\ldots$ |
$[(85422/49, 1670590641/49)]$ |
$1$ |
| 83205.o4 |
83205m1 |
83205.o |
83205m |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{10} \cdot 5 \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$6.408972218$ |
$1$ |
|
$1$ |
$650496$ |
$1.923403$ |
$357911/17415$ |
$0.85974$ |
$4.09272$ |
$2$ |
$[1, -1, 0, 24615, 13542336]$ |
\(y^2+xy=x^3-x^2+24615x+13542336\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[(171924/13, 71437254/13)]$ |
$1$ |
| 83205.p1 |
83205i2 |
83205.p |
83205i |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{11} \cdot 5^{10} \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57516800$ |
$3.982021$ |
$206246988924787/2373046875$ |
$1.00677$ |
$6.47914$ |
$1$ |
$[1, -1, 0, -880783515, 9960947229856]$ |
\(y^2+xy=x^3-x^2-880783515x+9960947229856\) |
2.3.0.a.1, 60.6.0.d.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 83205.p2 |
83205i1 |
83205.p |
83205i |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{16} \cdot 5^{5} \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$28758400$ |
$3.635448$ |
$-444194947/184528125$ |
$1.05268$ |
$5.90798$ |
$1$ |
$[1, -1, 0, -11374470, 395882798575]$ |
\(y^2+xy=x^3-x^2-11374470x+395882798575\) |
2.3.0.a.1, 60.6.0.d.1, 430.6.0.?, 516.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 83205.q1 |
83205h2 |
83205.q |
83205h |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{3} \cdot 5^{7} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$3.490616694$ |
$1$ |
|
$0$ |
$33116160$ |
$3.711830$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.73461$ |
$1$ |
$[1, -1, 0, -2311254969, 42768672254658]$ |
\(y^2+xy=x^3-x^2-2311254969x+42768672254658\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(229363/2, 79277637/2)]$ |
$1$ |
| 83205.q2 |
83205h1 |
83205.q |
83205h |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{3} \cdot 5^{14} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1.745308347$ |
$1$ |
|
$5$ |
$16558080$ |
$3.365257$ |
$1953326569433829507/262451171875$ |
$1.01058$ |
$6.00042$ |
$1$ |
$[1, -1, 0, -144458094, 668242332783]$ |
\(y^2+xy=x^3-x^2-144458094x+668242332783\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(50622, 11068689)]$ |
$1$ |
| 83205.r1 |
83205t1 |
83205.r |
83205t |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{9} \cdot 5^{2} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1064448$ |
$2.072559$ |
$1263214441/29025$ |
$0.85169$ |
$4.42365$ |
$1$ |
$[1, -1, 0, -374769, 86629608]$ |
\(y^2+xy=x^3-x^2-374769x+86629608\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 83205.r2 |
83205t2 |
83205.r |
83205t |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{12} \cdot 5 \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2128896$ |
$2.419132$ |
$1685159/6739605$ |
$1.19354$ |
$4.61971$ |
$1$ |
$[1, -1, 0, 41256, 268099713]$ |
\(y^2+xy=x^3-x^2+41256x+268099713\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 83205.s1 |
83205f1 |
83205.s |
83205f |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{3} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$1.424477334$ |
$1$ |
|
$2$ |
$6720$ |
$-0.241885$ |
$31347/5$ |
$0.67020$ |
$1.86874$ |
$1$ |
$[1, -1, 0, -24, 45]$ |
\(y^2+xy=x^3-x^2-24x+45\) |
60.2.0.a.1 |
$[(4, -1)]$ |
$1$ |
| 83205.t1 |
83205r1 |
83205.t |
83205r |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{21} \cdot 5 \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$241920$ |
$1.411293$ |
$539033907481/71744535$ |
$0.95490$ |
$3.63023$ |
$1$ |
$[1, -1, 0, -18729, -861030]$ |
\(y^2+xy=x^3-x^2-18729x-861030\) |
60.2.0.a.1 |
$[ ]$ |
$1$ |
| 83205.u1 |
83205e1 |
83205.u |
83205e |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{9} \cdot 5 \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$866880$ |
$2.188023$ |
$31347/5$ |
$0.67020$ |
$4.44256$ |
$1$ |
$[1, -1, 0, -402504, 83754413]$ |
\(y^2+xy=x^3-x^2-402504x+83754413\) |
60.2.0.a.1 |
$[ ]$ |
$1$ |
| 83205.v1 |
83205g2 |
83205.v |
83205g |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{3} \cdot 5 \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$10.71647430$ |
$1$ |
|
$0$ |
$473088$ |
$1.773006$ |
$2315685267/9245$ |
$1.00157$ |
$4.18623$ |
$1$ |
$[1, -1, 0, -152889, 22968538]$ |
\(y^2+xy=x^3-x^2-152889x+22968538\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(3358961/8, 6142474987/8)]$ |
$1$ |
| 83205.v2 |
83205g1 |
83205.v |
83205g |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{3} \cdot 5^{2} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$5.358237151$ |
$1$ |
|
$1$ |
$236544$ |
$1.426434$ |
$1860867/1075$ |
$0.91503$ |
$3.55719$ |
$1$ |
$[1, -1, 0, -14214, -23777]$ |
\(y^2+xy=x^3-x^2-14214x-23777\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-381/14, 172775/14)]$ |
$1$ |
| 83205.w1 |
83205s1 |
83205.w |
83205s |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{6} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$70560$ |
$0.797709$ |
$19630919/78125$ |
$0.90056$ |
$2.88442$ |
$1$ |
$[1, -1, 0, 621, 14278]$ |
\(y^2+xy=x^3-x^2+621x+14278\) |
20.2.0.a.1 |
$[ ]$ |
$1$ |
| 83205.x1 |
83205v1 |
83205.x |
83205v |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 3^{20} \cdot 5^{2} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$39739392$ |
$3.716183$ |
$-522547125460258816/9506987907075$ |
$1.00952$ |
$6.17768$ |
$1$ |
$[0, 0, 1, -279241527, 1824062772285]$ |
\(y^2+y=x^3-279241527x+1824062772285\) |
86.2.0.? |
$[ ]$ |
$1$ |
