| 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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 112710.a1 |
112710h2 |
112710.a |
112710h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13^{6} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$1.317597506$ |
$1$ |
|
$18$ |
$700416$ |
$1.431553$ |
$217482980991353/23168683200$ |
$1.01911$ |
$3.56867$ |
$[1, 1, 0, -21298, -1089548]$ |
\(y^2+xy=x^3+x^2-21298x-1089548\) |
2.3.0.a.1, 204.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[(171, 467), (-84, 382)]$ |
| 112710.a2 |
112710h1 |
112710.a |
112710h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5 \cdot 13^{3} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$1.317597506$ |
$1$ |
|
$17$ |
$350208$ |
$1.084978$ |
$2777652643193/404951040$ |
$0.92087$ |
$3.19381$ |
$[1, 1, 0, -4978, 114868]$ |
\(y^2+xy=x^3+x^2-4978x+114868\) |
2.3.0.a.1, 204.6.0.?, 780.6.0.?, 2210.6.0.?, 13260.12.0.? |
$[(1, 331), (27, 19)]$ |
| 112710.b1 |
112710c1 |
112710.b |
112710c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$3.740348510$ |
$1$ |
|
$2$ |
$746496$ |
$1.473900$ |
$-8035466932025641/526500000000$ |
$0.95582$ |
$3.64462$ |
$[1, 1, 0, -27588, -1872432]$ |
\(y^2+xy=x^3+x^2-27588x-1872432\) |
260.2.0.? |
$[(408, 7212)]$ |
| 112710.c1 |
112710a1 |
112710.c |
112710a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3 \cdot 5^{10} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1.782896629$ |
$1$ |
|
$4$ |
$375840$ |
$1.276503$ |
$-26082839807821801/761718750$ |
$0.96049$ |
$3.73662$ |
$[1, 1, 0, -40848, 3160758]$ |
\(y^2+xy=x^3+x^2-40848x+3160758\) |
312.2.0.? |
$[(-211, 1668)]$ |
| 112710.d1 |
112710f4 |
112710.d |
112710f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{15} \cdot 3^{6} \cdot 5 \cdot 13^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$26520$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$22394880$ |
$3.421993$ |
$73474353581350183614361/576510977802240$ |
$1.05636$ |
$5.98754$ |
$[1, 1, 0, -252174903, -1541443352427]$ |
\(y^2+xy=x^3+x^2-252174903x-1541443352427\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 51.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 112710.d2 |
112710f3 |
112710.d |
112710f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{30} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$26520$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$11197440$ |
$3.075420$ |
$-16818951115904497561/1592332281446400$ |
$1.03465$ |
$5.27999$ |
$[1, 1, 0, -15426103, -25161987947]$ |
\(y^2+xy=x^3+x^2-15426103x-25161987947\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.c.1, 51.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 112710.d3 |
112710f2 |
112710.d |
112710f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{5} \cdot 3^{18} \cdot 5^{3} \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$26520$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$7464960$ |
$2.872688$ |
$453198971846635561/261896250564000$ |
$1.11183$ |
$4.95629$ |
$[1, 1, 0, -4624728, 142180128]$ |
\(y^2+xy=x^3+x^2-4624728x+142180128\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 51.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 112710.d4 |
112710f1 |
112710.d |
112710f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$26520$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3732480$ |
$2.526112$ |
$7064514799444439/4094064000000$ |
$1.10261$ |
$4.59856$ |
$[1, 1, 0, 1155272, 18488128]$ |
\(y^2+xy=x^3+x^2+1155272x+18488128\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.c.1, 51.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 112710.e1 |
112710g2 |
112710.e |
112710g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5 \cdot 13^{3} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26520$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2985984$ |
$2.351433$ |
$-1629871520330191321/4481880$ |
$0.95862$ |
$5.06632$ |
$[1, 1, 0, -7085563, -7262502443]$ |
\(y^2+xy=x^3+x^2-7085563x-7262502443\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 1560.8.0.?, 26520.16.0.? |
$[]$ |
| 112710.e2 |
112710g1 |
112710.e |
112710g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{3} \cdot 13 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26520$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$995328$ |
$1.802126$ |
$-2768178670921/431115750$ |
$0.88091$ |
$3.94468$ |
$[1, 1, 0, -84538, -10693358]$ |
\(y^2+xy=x^3+x^2-84538x-10693358\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 1560.8.0.?, 26520.16.0.? |
$[]$ |
| 112710.f1 |
112710d1 |
112710.f |
112710d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{3} \cdot 13 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$8840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1327104$ |
$1.941658$ |
$11301253512121/2899962000$ |
$0.89577$ |
$4.04513$ |
$[1, 1, 0, -135113, -14317707]$ |
\(y^2+xy=x^3+x^2-135113x-14317707\) |
2.3.0.a.1, 4.6.0.b.1, 136.12.0.?, 520.12.0.?, 2210.6.0.?, $\ldots$ |
$[]$ |
| 112710.f2 |
112710d2 |
112710.f |
112710d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 13^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$8840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2654208$ |
$2.288231$ |
$169286748026759/247257562500$ |
$0.92774$ |
$4.31402$ |
$[1, 1, 0, 333067, -91192863]$ |
\(y^2+xy=x^3+x^2+333067x-91192863\) |
2.3.0.a.1, 4.6.0.a.1, 68.12.0-4.a.1.1, 260.12.0.?, 4420.24.0.?, $\ldots$ |
$[]$ |
| 112710.g1 |
112710e1 |
112710.g |
112710e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{5} \cdot 5^{9} \cdot 13^{7} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$243855360$ |
$4.525505$ |
$-83485496408692606522088834521/64803530931750000000$ |
$1.03577$ |
$7.18618$ |
$[1, 1, 0, -26314408763, 1642993826673117]$ |
\(y^2+xy=x^3+x^2-26314408763x+1642993826673117\) |
26520.2.0.? |
$[]$ |
| 112710.h1 |
112710b1 |
112710.h |
112710b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$0.560318149$ |
$1$ |
|
$4$ |
$41472$ |
$0.099747$ |
$18576359/84240$ |
$0.82570$ |
$2.09120$ |
$[1, 1, 0, 37, 237]$ |
\(y^2+xy=x^3+x^2+37x+237\) |
260.2.0.? |
$[(2, 17)]$ |
| 112710.i1 |
112710l1 |
112710.i |
112710l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{40} \cdot 3^{4} \cdot 5^{3} \cdot 13^{7} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$2.382190870$ |
$1$ |
|
$4$ |
$140313600$ |
$4.199852$ |
$27959890153001923297218599/698551331180400082944000$ |
$1.08244$ |
$6.33286$ |
$[1, 1, 0, 276398583, 11486046058821]$ |
\(y^2+xy=x^3+x^2+276398583x+11486046058821\) |
260.2.0.? |
$[(80562, 23552679)]$ |
| 112710.j1 |
112710j4 |
112710.j |
112710j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{4} \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6553600$ |
$2.613869$ |
$71647584155243142409/10140000$ |
$1.03753$ |
$5.39155$ |
$[1, 1, 0, -25006742, 48121568244]$ |
\(y^2+xy=x^3+x^2-25006742x+48121568244\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 112710.j2 |
112710j3 |
112710.j |
112710j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{5} \cdot 3^{4} \cdot 5 \cdot 13^{8} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6553600$ |
$2.613869$ |
$26465989780414729/10571870144160$ |
$1.02500$ |
$4.71211$ |
$[1, 1, 0, -1794262, 514103476]$ |
\(y^2+xy=x^3+x^2-1794262x+514103476\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 112710.j3 |
112710j2 |
112710.j |
112710j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3276800$ |
$2.267296$ |
$17496824387403529/6580454400$ |
$1.00721$ |
$4.67653$ |
$[1, 1, 0, -1563062, 751268436]$ |
\(y^2+xy=x^3+x^2-1563062x+751268436\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 60.12.0.b.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 112710.j4 |
112710j1 |
112710.j |
112710j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1638400$ |
$1.920723$ |
$-2656166199049/2658140160$ |
$0.97703$ |
$4.00696$ |
$[1, 1, 0, -83382, 15275604]$ |
\(y^2+xy=x^3+x^2-83382x+15275604\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$ |
$[]$ |
| 112710.k1 |
112710m1 |
112710.k |
112710m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{5} \cdot 3^{8} \cdot 5 \cdot 13 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$9.379722294$ |
$1$ |
|
$0$ |
$3427200$ |
$2.218815$ |
$-32232581852761/13646880$ |
$0.92093$ |
$4.62240$ |
$[1, 1, 0, -1266837, -549548019]$ |
\(y^2+xy=x^3+x^2-1266837x-549548019\) |
520.2.0.? |
$[(3401205/44, 4311107139/44)]$ |
| 112710.l1 |
112710k1 |
112710.l |
112710k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{5} \cdot 3^{13} \cdot 5^{3} \cdot 13 \cdot 17^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35942400$ |
$3.379456$ |
$127591024063258622231/117712954934172000$ |
$1.08074$ |
$5.44116$ |
$[1, 1, 0, 30310748, 49525284016]$ |
\(y^2+xy=x^3+x^2+30310748x+49525284016\) |
26520.2.0.? |
$[]$ |
| 112710.m1 |
112710q3 |
112710.m |
112710q |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{3} \cdot 13 \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$9$ |
$6.299043018$ |
$1$ |
|
$3$ |
$9953280$ |
$2.996544$ |
$507102228823216499929/2648775168000$ |
$0.98241$ |
$5.55978$ |
$[1, 1, 0, -48012587, -128069780739]$ |
\(y^2+xy=x^3+x^2-48012587x-128069780739\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[(69990, 18387021)]$ |
| 112710.m2 |
112710q4 |
112710.m |
112710q |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$9$ |
$3.149521509$ |
$1$ |
|
$4$ |
$19906560$ |
$3.343117$ |
$-481184224995688814809/36713242449000000$ |
$0.98351$ |
$5.56591$ |
$[1, 1, 0, -47180267, -132722948931]$ |
\(y^2+xy=x^3+x^2-47180267x-132722948931\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.1, $\ldots$ |
$[(8518, 284741)]$ |
| 112710.m3 |
112710q1 |
112710.m |
112710q |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5 \cdot 13^{3} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$9$ |
$2.099681006$ |
$1$ |
|
$5$ |
$3317760$ |
$2.447239$ |
$2749236527524969/1587903192720$ |
$1.00701$ |
$4.51743$ |
$[1, 1, 0, -843452, -13491456]$ |
\(y^2+xy=x^3+x^2-843452x-13491456\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[(-745, 14588)]$ |
| 112710.m4 |
112710q2 |
112710.m |
112710q |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 13^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$9$ |
$1.049840503$ |
$1$ |
|
$6$ |
$6635520$ |
$2.793812$ |
$175381844946241751/101691694692900$ |
$1.02427$ |
$4.87468$ |
$[1, 1, 0, 3370168, -103662924]$ |
\(y^2+xy=x^3+x^2+3370168x-103662924\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.2, $\ldots$ |
$[(970, 63384)]$ |
| 112710.n1 |
112710r1 |
112710.n |
112710r |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13260$ |
$16$ |
$0$ |
$0.621505586$ |
$1$ |
|
$4$ |
$31104$ |
$0.182069$ |
$-215038729/189540$ |
$0.82743$ |
$2.21604$ |
$[1, 1, 0, -82, 424]$ |
\(y^2+xy=x^3+x^2-82x+424\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 260.2.0.?, 780.8.0.?, 13260.16.0.? |
$[(10, 22)]$ |
| 112710.n2 |
112710r2 |
112710.n |
112710r |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13260$ |
$16$ |
$0$ |
$0.207168528$ |
$1$ |
|
$6$ |
$93312$ |
$0.731376$ |
$121644944711/158184000$ |
$0.90075$ |
$2.70031$ |
$[1, 1, 0, 683, -7379]$ |
\(y^2+xy=x^3+x^2+683x-7379\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 260.2.0.?, 780.8.0.?, 13260.16.0.? |
$[(82, 739)]$ |
| 112710.o1 |
112710t1 |
112710.o |
112710t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{5} \cdot 13^{9} \cdot 17^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$0.341329124$ |
$1$ |
|
$20$ |
$49351680$ |
$3.808514$ |
$-2017434532214148121/76352395485600000$ |
$1.02812$ |
$5.93246$ |
$[1, 1, 0, -50298577, 1118799483541]$ |
\(y^2+xy=x^3+x^2-50298577x+1118799483541\) |
260.2.0.? |
$[(16882, 2245759), (1266/5, 132062899/5)]$ |
| 112710.p1 |
112710n1 |
112710.p |
112710n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{4} \cdot 5^{5} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$0.642711929$ |
$1$ |
|
$4$ |
$100800$ |
$0.810984$ |
$172991854871/421200000$ |
$0.91040$ |
$2.81179$ |
$[1, 1, 0, 768, 14976]$ |
\(y^2+xy=x^3+x^2+768x+14976\) |
520.2.0.? |
$[(-3, 114)]$ |
| 112710.q1 |
112710o4 |
112710.q |
112710o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{20} \cdot 5 \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$12.81317214$ |
$1$ |
|
$0$ |
$14745600$ |
$3.220184$ |
$3221338935539503699129/200350631681460$ |
$0.98911$ |
$5.71871$ |
$[1, 1, 0, -88920537, -322758546111]$ |
\(y^2+xy=x^3+x^2-88920537x-322758546111\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 170.6.0.?, 340.24.0.?, $\ldots$ |
$[(882295/9, 21163463/9)]$ |
| 112710.q2 |
112710o3 |
112710.q |
112710o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{5} \cdot 5^{4} \cdot 13^{8} \cdot 17^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$3.203293036$ |
$1$ |
|
$10$ |
$14745600$ |
$3.220184$ |
$120859257477573578809/8424459021127500$ |
$1.14097$ |
$5.43650$ |
$[1, 1, 0, -29768017, 58615358521]$ |
\(y^2+xy=x^3+x^2-29768017x+58615358521\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 204.24.0.?, 680.24.0.?, $\ldots$ |
$[(4320, 101099)]$ |
| 112710.q3 |
112710o2 |
112710.q |
112710o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 13^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1020$ |
$48$ |
$0$ |
$6.406586072$ |
$1$ |
|
$4$ |
$7372800$ |
$2.873608$ |
$936615448738871929/194959225328400$ |
$1.08144$ |
$5.01869$ |
$[1, 1, 0, -5890837, -4406070371]$ |
\(y^2+xy=x^3+x^2-5890837x-4406070371\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.6, 204.24.0.?, 340.24.0.?, $\ldots$ |
$[(6950, 535427)]$ |
| 112710.q4 |
112710o1 |
112710.q |
112710o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 5 \cdot 13^{2} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2040$ |
$48$ |
$0$ |
$12.81317214$ |
$1$ |
|
$1$ |
$3686400$ |
$2.527035$ |
$2266209994236551/4390344840960$ |
$0.94508$ |
$4.57419$ |
$[1, 1, 0, 790843, -414434739]$ |
\(y^2+xy=x^3+x^2+790843x-414434739\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 30.6.0.a.1, 60.12.0.g.1, $\ldots$ |
$[(3885690/49, 8312683611/49)]$ |
| 112710.r1 |
112710p1 |
112710.r |
112710p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 13 \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$5.138383712$ |
$1$ |
|
$2$ |
$3231360$ |
$2.456688$ |
$-62736640489/14976000$ |
$0.90669$ |
$4.60257$ |
$[1, 1, 0, -1045752, -489633984]$ |
\(y^2+xy=x^3+x^2-1045752x-489633984\) |
260.2.0.? |
$[(4272, 268104)]$ |
| 112710.s1 |
112710i1 |
112710.s |
112710i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3 \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$279072$ |
$1.251503$ |
$87822908801351/79872000000$ |
$0.94838$ |
$3.24716$ |
$[1, 1, 0, 6123, -136851]$ |
\(y^2+xy=x^3+x^2+6123x-136851\) |
312.2.0.? |
$[]$ |
| 112710.t1 |
112710u1 |
112710.t |
112710u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{5} \cdot 5^{2} \cdot 13^{5} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4773600$ |
$2.539387$ |
$-2045682844201/18044839800$ |
$0.94717$ |
$4.62495$ |
$[1, 1, 0, -505322, 557011884]$ |
\(y^2+xy=x^3+x^2-505322x+557011884\) |
312.2.0.? |
$[]$ |
| 112710.u1 |
112710s1 |
112710.u |
112710s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1.267580721$ |
$1$ |
|
$7$ |
$1032192$ |
$1.774702$ |
$39335220262729/23271300$ |
$0.89733$ |
$4.15234$ |
$[1, 1, 0, -204762, 35559936]$ |
\(y^2+xy=x^3+x^2-204762x+35559936\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[(282, 444)]$ |
| 112710.u2 |
112710s2 |
112710.u |
112710s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$2.535161443$ |
$1$ |
|
$4$ |
$2064384$ |
$2.121277$ |
$-21413157997609/30812096250$ |
$0.91261$ |
$4.20743$ |
$[1, 1, 0, -167192, 49062594]$ |
\(y^2+xy=x^3+x^2-167192x+49062594\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(-7, 7091)]$ |
| 112710.v1 |
112710z1 |
112710.v |
112710z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3 \cdot 5^{6} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$25.27510511$ |
$1$ |
|
$0$ |
$4744224$ |
$2.668110$ |
$87822908801351/79872000000$ |
$0.94838$ |
$4.70851$ |
$[1, 0, 1, 1769396, -684735094]$ |
\(y^2+xy+y=x^3+1769396x-684735094\) |
312.2.0.? |
$[(923225082528/13799, 910932918919052927/13799)]$ |
| 112710.w1 |
112710be1 |
112710.w |
112710be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{5} \cdot 5^{2} \cdot 13^{5} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.143124268$ |
$1$ |
|
$8$ |
$280800$ |
$1.122778$ |
$-2045682844201/18044839800$ |
$0.94717$ |
$3.16360$ |
$[1, 0, 1, -1749, 113272]$ |
\(y^2+xy+y=x^3-1749x+113272\) |
312.2.0.? |
$[(26, 279)]$ |
| 112710.x1 |
112710bh1 |
112710.x |
112710bh |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$190080$ |
$1.040083$ |
$-62736640489/14976000$ |
$0.90669$ |
$3.14122$ |
$[1, 0, 1, -3619, -99874]$ |
\(y^2+xy+y=x^3-3619x-99874\) |
260.2.0.? |
$[]$ |
| 112710.y1 |
112710ba1 |
112710.y |
112710ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{6} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$7.021749900$ |
$1$ |
|
$3$ |
$15482880$ |
$3.248032$ |
$9923129938500427467001/59574528000000$ |
$0.99298$ |
$5.81543$ |
$[1, 0, 1, -129381694, -566452339024]$ |
\(y^2+xy+y=x^3-129381694x-566452339024\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[(96418, 29672228)]$ |
| 112710.y2 |
112710ba2 |
112710.y |
112710ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5^{12} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$14.04349980$ |
$1$ |
|
$0$ |
$30965760$ |
$3.594608$ |
$-9380102000370554601721/770302406250000000$ |
$0.99410$ |
$5.82200$ |
$[1, 0, 1, -126977214, -588517771088]$ |
\(y^2+xy+y=x^3-126977214x-588517771088\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(763689986/89, 20918952779076/89)]$ |
| 112710.z1 |
112710bf1 |
112710.z |
112710bf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{4} \cdot 5^{5} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1713600$ |
$2.227589$ |
$172991854871/421200000$ |
$0.91040$ |
$4.27314$ |
$[1, 0, 1, 221801, 72024122]$ |
\(y^2+xy+y=x^3+221801x+72024122\) |
520.2.0.? |
$[]$ |
| 112710.ba1 |
112710bc1 |
112710.ba |
112710bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{5} \cdot 13^{9} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$0.983358454$ |
$1$ |
|
$2$ |
$2903040$ |
$2.391907$ |
$-2017434532214148121/76352395485600000$ |
$1.02812$ |
$4.47111$ |
$[1, 0, 1, -174044, 227712026]$ |
\(y^2+xy+y=x^3-174044x+227712026\) |
260.2.0.? |
$[(1409, 52023)]$ |
| 112710.bb1 |
112710bb1 |
112710.bb |
112710bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3 \cdot 5 \cdot 13^{3} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$1.778190060$ |
$1$ |
|
$2$ |
$276480$ |
$1.267225$ |
$-594823321/1120470$ |
$0.94169$ |
$3.32267$ |
$[1, 0, 1, -5064, 285652]$ |
\(y^2+xy+y=x^3-5064x+285652\) |
26520.2.0.? |
$[(58, 404)]$ |
| 112710.bc1 |
112710bd1 |
112710.bc |
112710bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{5} \cdot 13^{5} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$1.778876012$ |
$1$ |
|
$2$ |
$4147200$ |
$2.528564$ |
$6176736766011239/4260587175000$ |
$0.95458$ |
$4.58702$ |
$[1, 0, 1, 1104696, -195699698]$ |
\(y^2+xy+y=x^3+1104696x-195699698\) |
26520.2.0.? |
$[(908, 38994)]$ |
| 112710.bd1 |
112710v2 |
112710.bd |
112710v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$788480$ |
$1.668442$ |
$68523370149961/243360$ |
$0.97981$ |
$4.20006$ |
$[1, 0, 1, -246379, -47091274]$ |
\(y^2+xy+y=x^3-246379x-47091274\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
| 112710.bd2 |
112710v1 |
112710.bd |
112710v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$394240$ |
$1.321869$ |
$-16022066761/998400$ |
$0.92192$ |
$3.49009$ |
$[1, 0, 1, -15179, -758794]$ |
\(y^2+xy+y=x^3-15179x-758794\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
| 112710.be1 |
112710bg1 |
112710.be |
112710bg |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$780$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$528768$ |
$1.598677$ |
$-215038729/189540$ |
$0.82743$ |
$3.67739$ |
$[1, 0, 1, -23849, 2249696]$ |
\(y^2+xy+y=x^3-23849x+2249696\) |
3.8.0-3.a.1.2, 260.2.0.?, 780.16.0.? |
$[]$ |
