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 |
498525.a1 |
498525a1 |
498525.a |
498525a |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{2} \cdot 5^{3} \cdot 17^{4} \cdot 23^{2} \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.375232302$ |
$1$ |
|
$46$ |
$1893888$ |
$1.156740$ |
$176232255488/4761$ |
$0.92876$ |
$3.20565$ |
$[0, -1, 1, -25528, 1578408]$ |
\(y^2+y=x^3-x^2-25528x+1578408\) |
10.2.0.a.1 |
$[(91, 25), (82, 172), (142, 892)]$ |
498525.b1 |
498525b1 |
498525.b |
498525b |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{10} \cdot 5^{3} \cdot 17^{2} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1.375335471$ |
$1$ |
|
$14$ |
$1267200$ |
$1.033813$ |
$187005022208/31236921$ |
$0.89963$ |
$2.77826$ |
$[0, -1, 1, -3938, -78922]$ |
\(y^2+y=x^3-x^2-3938x-78922\) |
10.2.0.a.1 |
$[(206, 2794), (-37, 121)]$ |
498525.c1 |
498525c1 |
498525.c |
498525c |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{11} \cdot 5^{4} \cdot 17^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$9.880382795$ |
$1$ |
|
$0$ |
$5393520$ |
$1.702583$ |
$-65017139200/93710763$ |
$0.95899$ |
$3.34760$ |
$[0, -1, 1, -31308, -3973282]$ |
\(y^2+y=x^3-x^2-31308x-3973282\) |
6.2.0.a.1 |
$[(88064/7, 25990070/7)]$ |
498525.d1 |
498525d1 |
498525.d |
498525d |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{4} \cdot 5^{7} \cdot 17^{6} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$3.268323602$ |
$1$ |
|
$2$ |
$11022336$ |
$2.190483$ |
$2887553024/4927635$ |
$0.92737$ |
$3.74307$ |
$[0, -1, 1, 214342, -53392282]$ |
\(y^2+y=x^3-x^2+214342x-53392282\) |
230.2.0.? |
$[(212, 1237)]$ |
498525.e1 |
498525e1 |
498525.e |
498525e |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3 \cdot 5^{12} \cdot 17^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2346$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24551424$ |
$2.324280$ |
$71163817984/18328125$ |
$0.83161$ |
$3.93647$ |
$[0, 1, 1, -623758, -141462356]$ |
\(y^2+y=x^3+x^2-623758x-141462356\) |
2346.2.0.? |
$[]$ |
498525.f1 |
498525f1 |
498525.f |
498525f |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{11} \cdot 5^{4} \cdot 17^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$91689840$ |
$3.119190$ |
$-65017139200/93710763$ |
$0.95899$ |
$4.64334$ |
$[0, 1, 1, -9048108, -19575021706]$ |
\(y^2+y=x^3+x^2-9048108x-19575021706\) |
6.2.0.a.1 |
$[]$ |
498525.g1 |
498525g1 |
498525.g |
498525g |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{5} \cdot 5^{8} \cdot 17^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2346$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$29859840$ |
$2.675716$ |
$833131367796736/2375325$ |
$0.91098$ |
$4.65052$ |
$[0, 1, 1, -14163408, -20521005406]$ |
\(y^2+y=x^3+x^2-14163408x-20521005406\) |
2346.2.0.? |
$[]$ |
498525.h1 |
498525h1 |
498525.h |
498525h |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{10} \cdot 5^{3} \cdot 17^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.373070288$ |
$1$ |
|
$6$ |
$21542400$ |
$2.450420$ |
$187005022208/31236921$ |
$0.89963$ |
$4.07400$ |
$[0, 1, 1, -1138178, -394571446]$ |
\(y^2+y=x^3+x^2-1138178x-394571446\) |
10.2.0.a.1 |
$[(-482, 6502)]$ |
498525.i1 |
498525i1 |
498525.i |
498525i |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{2} \cdot 5^{3} \cdot 17^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32196096$ |
$2.573349$ |
$176232255488/4761$ |
$0.92876$ |
$4.50139$ |
$[0, 1, 1, -7377688, 7710453784]$ |
\(y^2+y=x^3+x^2-7377688x+7710453784\) |
10.2.0.a.1 |
$[]$ |
498525.j1 |
498525j1 |
498525.j |
498525j |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{4} \cdot 5^{2} \cdot 17^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$1.230121560$ |
$1$ |
|
$4$ |
$1880064$ |
$1.503832$ |
$3016755625/538407$ |
$0.96308$ |
$3.20484$ |
$[1, 1, 1, -25438, 1288076]$ |
\(y^2+xy+y=x^3+x^2-25438x+1288076\) |
92.2.0.? |
$[(-16, 1308)]$ |
498525.k1 |
498525k1 |
498525.k |
498525k |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{17} \cdot 5^{9} \cdot 17^{8} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1380$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$274665600$ |
$4.124580$ |
$2215374238595683/1571248363221$ |
$1.04758$ |
$5.52501$ |
$[1, 1, 1, 648656737, 3020363110406]$ |
\(y^2+xy+y=x^3+x^2+648656737x+3020363110406\) |
1380.2.0.? |
$[]$ |
498525.l1 |
498525l1 |
498525.l |
498525l |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3 \cdot 5^{9} \cdot 17^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$7.748034201$ |
$1$ |
|
$3$ |
$2073600$ |
$1.671125$ |
$148877/69$ |
$0.80204$ |
$3.30770$ |
$[1, 1, 1, -39888, 1351656]$ |
\(y^2+xy+y=x^3+x^2-39888x+1351656\) |
2.3.0.a.1, 20.6.0.b.1, 276.6.0.?, 690.6.0.?, 1380.12.0.? |
$[(2244, 104792)]$ |
498525.l2 |
498525l2 |
498525.l |
498525l |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{2} \cdot 5^{9} \cdot 17^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$3.874017100$ |
$1$ |
|
$4$ |
$4147200$ |
$2.017700$ |
$6539203/4761$ |
$0.87814$ |
$3.59601$ |
$[1, 1, 1, 140737, 10382906]$ |
\(y^2+xy+y=x^3+x^2+140737x+10382906\) |
2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.? |
$[(-54, 1648)]$ |
498525.m1 |
498525m4 |
498525.m |
498525m |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{4} \cdot 5^{7} \cdot 17^{7} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$46920$ |
$48$ |
$0$ |
$2.461170437$ |
$1$ |
|
$2$ |
$15925248$ |
$2.738270$ |
$18653901818761/1926705285$ |
$0.99070$ |
$4.36094$ |
$[1, 1, 1, -3991963, -2784174844]$ |
\(y^2+xy+y=x^3+x^2-3991963x-2784174844\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 170.6.0.?, 340.24.0.?, 552.24.0.?, $\ldots$ |
$[(7940, 678792)]$ |
498525.m2 |
498525m2 |
498525.m |
498525m |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{2} \cdot 5^{8} \cdot 17^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$23460$ |
$48$ |
$0$ |
$4.922340875$ |
$1$ |
|
$4$ |
$7962624$ |
$2.391697$ |
$229333309561/34398225$ |
$0.84331$ |
$4.02567$ |
$[1, 1, 1, -921338, 292591406]$ |
\(y^2+xy+y=x^3+x^2-921338x+292591406\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 276.24.0.?, 340.24.0.?, 23460.48.0.? |
$[(-246, 22582)]$ |
498525.m3 |
498525m1 |
498525.m |
498525m |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3 \cdot 5^{7} \cdot 17^{7} \cdot 23 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$46920$ |
$48$ |
$0$ |
$9.844681751$ |
$1$ |
|
$3$ |
$3981312$ |
$2.045124$ |
$203401212841/5865$ |
$0.83810$ |
$4.01652$ |
$[1, 1, 1, -885213, 320190906]$ |
\(y^2+xy+y=x^3+x^2-885213x+320190906\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 552.24.0.?, 680.24.0.?, 11730.6.0.?, $\ldots$ |
$[(35354/7, 2482740/7)]$ |
498525.m4 |
498525m3 |
498525.m |
498525m |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3 \cdot 5^{10} \cdot 17^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$46920$ |
$48$ |
$0$ |
$2.461170437$ |
$4$ |
$2$ |
$2$ |
$15925248$ |
$2.738270$ |
$1137566234519/3601843125$ |
$0.88594$ |
$4.26189$ |
$[1, 1, 1, 1571287, 1603712156]$ |
\(y^2+xy+y=x^3+x^2+1571287x+1603712156\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 276.12.0.?, 340.12.0.?, $\ldots$ |
$[(4030, 268922)]$ |
498525.n1 |
498525n2 |
498525.n |
498525n |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{8} \cdot 5^{9} \cdot 17^{3} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7820$ |
$12$ |
$0$ |
$1.168402725$ |
$1$ |
|
$6$ |
$4718592$ |
$1.970718$ |
$27371591781353/433846125$ |
$1.06148$ |
$3.74230$ |
$[1, 1, 1, -266838, 52211406]$ |
\(y^2+xy+y=x^3+x^2-266838x+52211406\) |
2.3.0.a.1, 170.6.0.?, 460.6.0.?, 1564.6.0.?, 7820.12.0.? |
$[(240, 1317)]$ |
498525.n2 |
498525n1 |
498525.n |
498525n |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{4} \cdot 5^{12} \cdot 17^{3} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7820$ |
$12$ |
$0$ |
$2.336805450$ |
$1$ |
|
$5$ |
$2359296$ |
$1.624146$ |
$-2571353/29109375$ |
$0.97807$ |
$3.26216$ |
$[1, 1, 1, -1213, 2273906]$ |
\(y^2+xy+y=x^3+x^2-1213x+2273906\) |
2.3.0.a.1, 340.6.0.?, 460.6.0.?, 782.6.0.?, 7820.12.0.? |
$[(-50, 1512)]$ |
498525.o1 |
498525o1 |
498525.o |
498525o |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3 \cdot 5^{9} \cdot 17^{2} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1380$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$328320$ |
$0.715434$ |
$22627/69$ |
$0.69983$ |
$2.41091$ |
$[1, 1, 1, 487, -8344]$ |
\(y^2+xy+y=x^3+x^2+487x-8344\) |
1380.2.0.? |
$[]$ |
498525.p1 |
498525p1 |
498525.p |
498525p |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{16} \cdot 5^{8} \cdot 17^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$7.702880805$ |
$1$ |
|
$0$ |
$49766400$ |
$2.914375$ |
$2534167381585/990074583$ |
$0.97681$ |
$4.45414$ |
$[1, 1, 1, -6000513, 3222256656]$ |
\(y^2+xy+y=x^3+x^2-6000513x+3222256656\) |
92.2.0.? |
$[(6221/4, 1958217/4)]$ |
498525.q1 |
498525q1 |
498525.q |
498525q |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{8} \cdot 5^{8} \cdot 17^{6} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$0.552140031$ |
$1$ |
|
$20$ |
$59904000$ |
$3.203640$ |
$15721420060947505/79827687$ |
$1.00581$ |
$5.11979$ |
$[1, 0, 0, -110257263, 445602957642]$ |
\(y^2+xy=x^3-110257263x+445602957642\) |
92.2.0.? |
$[(7827, 245349), (4377, 214299)]$ |
498525.r1 |
498525r2 |
498525.r |
498525r |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3 \cdot 5^{6} \cdot 17^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2838528$ |
$1.693932$ |
$413493625/1587$ |
$0.92463$ |
$3.54407$ |
$[1, 0, 0, -112138, -14414983]$ |
\(y^2+xy=x^3-112138x-14414983\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[]$ |
498525.r2 |
498525r1 |
498525.r |
498525r |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{2} \cdot 5^{6} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1419264$ |
$1.347359$ |
$-15625/207$ |
$0.99061$ |
$3.00975$ |
$[1, 0, 0, -3763, -434608]$ |
\(y^2+xy=x^3-3763x-434608\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[]$ |
498525.s1 |
498525s1 |
498525.s |
498525s |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3 \cdot 5^{9} \cdot 17^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1380$ |
$2$ |
$0$ |
$17.89924207$ |
$1$ |
|
$0$ |
$5581440$ |
$2.132042$ |
$22627/69$ |
$0.69983$ |
$3.70665$ |
$[1, 0, 0, 140737, -41978358]$ |
\(y^2+xy=x^3+140737x-41978358\) |
1380.2.0.? |
$[(435156417/911, 9833095514244/911)]$ |
498525.t1 |
498525t2 |
498525.t |
498525t |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{2} \cdot 5^{3} \cdot 17^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3833856$ |
$1.934738$ |
$126581624261/17288847$ |
$0.85976$ |
$3.61234$ |
$[1, 0, 0, -151153, 19757822]$ |
\(y^2+xy=x^3-151153x+19757822\) |
2.3.0.a.1, 60.6.0.c.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[]$ |
498525.t2 |
498525t1 |
498525.t |
498525t |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3 \cdot 5^{3} \cdot 17^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1916928$ |
$1.588163$ |
$124251499/458643$ |
$0.82167$ |
$3.21263$ |
$[1, 0, 0, 15022, 1644747]$ |
\(y^2+xy=x^3+15022x+1644747\) |
2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[]$ |
498525.u1 |
498525u1 |
498525.u |
498525u |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{11} \cdot 5^{6} \cdot 17^{13} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4692$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$153280512$ |
$3.824894$ |
$383757181824152375/1671876092836413$ |
$1.00161$ |
$5.26097$ |
$[1, 0, 0, 109382737, -1125031266858]$ |
\(y^2+xy=x^3+109382737x-1125031266858\) |
4692.2.0.? |
$[]$ |
498525.v1 |
498525v2 |
498525.v |
498525v |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{2} \cdot 5^{12} \cdot 17^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23460$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$23887872$ |
$2.771980$ |
$991653330582361/54984375$ |
$0.90524$ |
$4.66380$ |
$[1, 0, 0, -15010088, -22383419583]$ |
\(y^2+xy=x^3-15010088x-22383419583\) |
2.3.0.a.1, 60.6.0.c.1, 1564.6.0.?, 23460.12.0.? |
$[]$ |
498525.v2 |
498525v1 |
498525.v |
498525v |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3 \cdot 5^{9} \cdot 17^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23460$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$11943936$ |
$2.425404$ |
$-203401212841/57330375$ |
$0.84547$ |
$4.04676$ |
$[1, 0, 0, -885213, -390989208]$ |
\(y^2+xy=x^3-885213x-390989208\) |
2.3.0.a.1, 30.6.0.a.1, 1564.6.0.?, 23460.12.0.? |
$[]$ |
498525.w1 |
498525w2 |
498525.w |
498525w |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{8} \cdot 5^{9} \cdot 17^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7820$ |
$12$ |
$0$ |
$3.699582215$ |
$1$ |
|
$4$ |
$80216064$ |
$3.387325$ |
$27371591781353/433846125$ |
$1.06148$ |
$5.03804$ |
$[1, 0, 0, -77116188, 257054451867]$ |
\(y^2+xy=x^3-77116188x+257054451867\) |
2.3.0.a.1, 170.6.0.?, 460.6.0.?, 1564.6.0.?, 7820.12.0.? |
$[(891, 434355)]$ |
498525.w2 |
498525w1 |
498525.w |
498525w |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{4} \cdot 5^{12} \cdot 17^{9} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7820$ |
$12$ |
$0$ |
$7.399164431$ |
$1$ |
|
$3$ |
$40108032$ |
$3.040752$ |
$-2571353/29109375$ |
$0.97807$ |
$4.55790$ |
$[1, 0, 0, -350563, 11174154992]$ |
\(y^2+xy=x^3-350563x+11174154992\) |
2.3.0.a.1, 340.6.0.?, 460.6.0.?, 782.6.0.?, 7820.12.0.? |
$[(1193, 111002)]$ |
498525.x1 |
498525x1 |
498525.x |
498525x |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{17} \cdot 5^{9} \cdot 17^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1380$ |
$2$ |
$0$ |
$1.669599196$ |
$1$ |
|
$4$ |
$16156800$ |
$2.707977$ |
$2215374238595683/1571248363221$ |
$1.04758$ |
$4.22927$ |
$[1, 0, 0, 2244487, 614901642]$ |
\(y^2+xy=x^3+2244487x+614901642\) |
1380.2.0.? |
$[(5377, 407374)]$ |
498525.y1 |
498525y2 |
498525.y |
498525y |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{6} \cdot 5^{9} \cdot 17^{6} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$10.81909027$ |
$1$ |
|
$6$ |
$12288000$ |
$2.478146$ |
$201333092381/16767$ |
$0.94917$ |
$4.38377$ |
$[1, 0, 0, -4411013, -3565899858]$ |
\(y^2+xy=x^3-4411013x-3565899858\) |
2.3.0.a.1, 60.6.0.c.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[(-1217, 175), (36799/2, 6819437/2)]$ |
498525.y2 |
498525y1 |
498525.y |
498525y |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{3} \cdot 5^{9} \cdot 17^{6} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$10.81909027$ |
$1$ |
|
$7$ |
$6144000$ |
$2.131573$ |
$-39651821/14283$ |
$0.87476$ |
$3.77028$ |
$[1, 0, 0, -256638, -63761733]$ |
\(y^2+xy=x^3-256638x-63761733\) |
2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[(9102, 862449), (891, 19929)]$ |
498525.z1 |
498525z2 |
498525.z |
498525z |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{2} \cdot 5^{3} \cdot 17^{14} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$77856768$ |
$3.448463$ |
$23496599666153583269/763866367061823$ |
$1.04982$ |
$5.06357$ |
$[1, 0, 0, -86224023, -299396218338]$ |
\(y^2+xy=x^3-86224023x-299396218338\) |
2.3.0.a.1, 60.6.0.c.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[]$ |
498525.z2 |
498525z1 |
498525.z |
498525z |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3 \cdot 5^{3} \cdot 17^{10} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$38928384$ |
$3.101891$ |
$174592522712971/37092316455507$ |
$1.08627$ |
$4.61332$ |
$[1, 0, 0, 1682552, -16073327113]$ |
\(y^2+xy=x^3+1682552x-16073327113\) |
2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[]$ |
498525.ba1 |
498525ba1 |
498525.ba |
498525ba |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{4} \cdot 5^{4} \cdot 17^{6} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$0.875789355$ |
$1$ |
|
$6$ |
$4257792$ |
$1.912632$ |
$78605490625/985527$ |
$1.01365$ |
$3.69870$ |
$[1, 0, 0, -220513, 39404042]$ |
\(y^2+xy=x^3-220513x+39404042\) |
92.2.0.? |
$[(347, 1994)]$ |
498525.bb1 |
498525bb3 |
498525.bb |
498525bb |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{5} \cdot 5^{18} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$46920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147456000$ |
$3.507599$ |
$3026030815665395929/1364501953125$ |
$1.01324$ |
$5.27537$ |
$[1, 0, 0, -217714688, 1235959008867]$ |
\(y^2+xy=x^3-217714688x+1235959008867\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 136.12.0.?, 138.6.0.?, $\ldots$ |
$[]$ |
498525.bb2 |
498525bb4 |
498525.bb |
498525bb |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{20} \cdot 5^{9} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$46920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147456000$ |
$3.507599$ |
$502552788401502649/10024505152875$ |
$1.00677$ |
$5.13852$ |
$[1, 0, 0, -119671438, -495137480383]$ |
\(y^2+xy=x^3-119671438x-495137480383\) |
2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.1, 120.12.0.?, 460.12.0.?, $\ldots$ |
$[]$ |
498525.bb3 |
498525bb2 |
498525.bb |
498525bb |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{10} \cdot 5^{12} \cdot 17^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$23460$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$73728000$ |
$3.161026$ |
$1159246431432649/488076890625$ |
$0.99697$ |
$4.67570$ |
$[1, 0, 0, -15812063, 12631003992]$ |
\(y^2+xy=x^3-15812063x+12631003992\) |
2.6.0.a.1, 60.12.0.b.1, 68.12.0-2.a.1.1, 276.12.0.?, 460.12.0.?, $\ldots$ |
$[]$ |
498525.bb4 |
498525bb1 |
498525.bb |
498525bb |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{5} \cdot 5^{9} \cdot 17^{6} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$46920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864000$ |
$2.814453$ |
$10519294081031/8500170375$ |
$0.97609$ |
$4.31728$ |
$[1, 0, 0, 3298062, 1451580867]$ |
\(y^2+xy=x^3+3298062x+1451580867\) |
2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 60.12.0.g.1, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
498525.bc1 |
498525bc1 |
498525.bc |
498525bc |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{3} \cdot 5^{10} \cdot 17^{8} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$74468160$ |
$3.253590$ |
$-13926400000/7555707$ |
$1.02901$ |
$4.78517$ |
$[0, -1, 1, -20470833, -49615187182]$ |
\(y^2+y=x^3-x^2-20470833x-49615187182\) |
6.2.0.a.1 |
$[]$ |
498525.bd1 |
498525bd1 |
498525.bd |
498525bd |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3 \cdot 5^{8} \cdot 17^{6} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4354560$ |
$2.091602$ |
$-6439567360/1587$ |
$0.99159$ |
$3.99873$ |
$[0, -1, 1, -818833, -284982432]$ |
\(y^2+y=x^3-x^2-818833x-284982432\) |
6.2.0.a.1 |
$[]$ |
498525.be1 |
498525be1 |
498525.be |
498525be |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{3} \cdot 5^{4} \cdot 17^{2} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$876096$ |
$1.032263$ |
$-13926400000/7555707$ |
$1.02901$ |
$2.75337$ |
$[0, -1, 1, -2833, -79857]$ |
\(y^2+y=x^3-x^2-2833x-79857\) |
6.2.0.a.1 |
$[]$ |
498525.bf1 |
498525bf1 |
498525.bf |
498525bf |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{3} \cdot 5^{6} \cdot 17^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2346$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15876096$ |
$2.655327$ |
$106227040256/621$ |
$1.03210$ |
$4.61487$ |
$[0, -1, 1, -12118733, -16233931507]$ |
\(y^2+y=x^3-x^2-12118733x-16233931507\) |
2346.2.0.? |
$[]$ |
498525.bg1 |
498525bg1 |
498525.bg |
498525bg |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{2} \cdot 5^{11} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9185280$ |
$2.473209$ |
$-43258336804864/646875$ |
$1.00304$ |
$4.42506$ |
$[0, -1, 1, -5283883, -4673259582]$ |
\(y^2+y=x^3-x^2-5283883x-4673259582\) |
230.2.0.? |
$[]$ |
498525.bh1 |
498525bh1 |
498525.bh |
498525bh |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 3^{5} \cdot 5^{10} \cdot 17^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2346$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1597440$ |
$1.494493$ |
$24693014528/3493125$ |
$0.89020$ |
$3.20792$ |
$[0, -1, 1, -25783, -1376532]$ |
\(y^2+y=x^3-x^2-25783x-1376532\) |
2346.2.0.? |
$[]$ |
498525.bi1 |
498525bi2 |
498525.bi |
498525bi |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{3} \cdot 5^{4} \cdot 17^{6} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$102$ |
$16$ |
$0$ |
$3.599282217$ |
$1$ |
|
$0$ |
$16796160$ |
$2.538399$ |
$-43894892953600/3996969003$ |
$1.04704$ |
$4.19196$ |
$[0, -1, 1, -1815883, -1012633857]$ |
\(y^2+y=x^3-x^2-1815883x-1012633857\) |
3.4.0.a.1, 6.8.0.b.1, 51.8.0-3.a.1.1, 102.16.0.? |
$[(17683/3, 1478944/3)]$ |
498525.bi2 |
498525bi1 |
498525.bi |
498525bi |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 3^{9} \cdot 5^{4} \cdot 17^{6} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$102$ |
$16$ |
$0$ |
$10.79784665$ |
$1$ |
|
$0$ |
$5598720$ |
$1.989092$ |
$17983078400/10412307$ |
$1.34813$ |
$3.58627$ |
$[0, -1, 1, 134867, 390618]$ |
\(y^2+y=x^3-x^2+134867x+390618\) |
3.4.0.a.1, 6.8.0.b.1, 51.8.0-3.a.1.2, 102.16.0.? |
$[(738466/99, 3213881081/99)]$ |