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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
50430.a1 |
50430d2 |
50430.a |
50430d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{9} \cdot 3 \cdot 5^{3} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4920$ |
$16$ |
$0$ |
$5.219494819$ |
$1$ |
|
$0$ |
$27216$ |
$0.437742$ |
$-13410393529/192000$ |
$[1, 1, 0, -588, -5808]$ |
\(y^2+xy=x^3+x^2-588x-5808\) |
3.4.0.a.1, 120.8.0.?, 123.8.0.?, 4920.16.0.? |
$[(127/2, 623/2)]$ |
50430.a2 |
50430d1 |
50430.a |
50430d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4920$ |
$16$ |
$0$ |
$1.739831606$ |
$1$ |
|
$2$ |
$9072$ |
$-0.111564$ |
$1221431/1080$ |
$[1, 1, 0, 27, -27]$ |
\(y^2+xy=x^3+x^2+27x-27\) |
3.4.0.a.1, 120.8.0.?, 123.8.0.?, 4920.16.0.? |
$[(1, 1)]$ |
50430.b1 |
50430b1 |
50430.b |
50430b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{6} \cdot 3^{17} \cdot 5^{2} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$2.681708307$ |
$1$ |
|
$2$ |
$274176$ |
$1.657084$ |
$65412215191030009/206624260800$ |
$[1, 1, 0, -99808, -12145088]$ |
\(y^2+xy=x^3+x^2-99808x-12145088\) |
12.2.0.a.1 |
$[(-184, 272)]$ |
50430.c1 |
50430a4 |
50430.c |
50430a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{4} \cdot 41^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4920$ |
$48$ |
$0$ |
$10.79675327$ |
$1$ |
|
$0$ |
$1290240$ |
$2.458435$ |
$15989485458638089/615000$ |
$[1, 1, 0, -8822763, 10083162117]$ |
\(y^2+xy=x^3+x^2-8822763x+10083162117\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(626969/17, 161930076/17)]$ |
50430.c2 |
50430a3 |
50430.c |
50430a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 41^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4920$ |
$48$ |
$0$ |
$2.699188319$ |
$4$ |
$2$ |
$2$ |
$1290240$ |
$2.458435$ |
$16327137318409/9155465640$ |
$[1, 1, 0, -888443, -57140907]$ |
\(y^2+xy=x^3+x^2-888443x-57140907\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[(1397, 37124)]$ |
50430.c3 |
50430a2 |
50430.c |
50430a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 41^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4920$ |
$48$ |
$0$ |
$5.398376638$ |
$1$ |
|
$4$ |
$645120$ |
$2.111862$ |
$3921141001609/24206400$ |
$[1, 1, 0, -552243, 156884013]$ |
\(y^2+xy=x^3+x^2-552243x+156884013\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 328.12.0.?, $\ldots$ |
$[(1454, 48573)]$ |
50430.c4 |
50430a1 |
50430.c |
50430a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5 \cdot 41^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4920$ |
$48$ |
$0$ |
$10.79675327$ |
$1$ |
|
$1$ |
$322560$ |
$1.765287$ |
$-68417929/2519040$ |
$[1, 1, 0, -14323, 5298157]$ |
\(y^2+xy=x^3+x^2-14323x+5298157\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(292518/29, 154843129/29)]$ |
50430.d1 |
50430c2 |
50430.d |
50430c |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{3} \cdot 41^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4920$ |
$16$ |
$0$ |
$14.84805591$ |
$1$ |
|
$0$ |
$9072000$ |
$3.190838$ |
$-144612187806169/68599001088000$ |
$[1, 1, 0, -1838208, -27481817088]$ |
\(y^2+xy=x^3+x^2-1838208x-27481817088\) |
3.4.0.a.1, 120.8.0.?, 123.8.0.?, 4920.16.0.? |
$[(1587090757/372, 61909246696853/372)]$ |
50430.d2 |
50430c1 |
50430.d |
50430c |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{5} \cdot 3^{15} \cdot 5 \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4920$ |
$16$ |
$0$ |
$4.949351971$ |
$1$ |
|
$0$ |
$3024000$ |
$2.641529$ |
$198257271191/94128829920$ |
$[1, 1, 0, 204207, 1016816373]$ |
\(y^2+xy=x^3+x^2+204207x+1016816373\) |
3.4.0.a.1, 120.8.0.?, 123.8.0.?, 4920.16.0.? |
$[(-5057/3, 734618/3)]$ |
50430.e1 |
50430e2 |
50430.e |
50430e |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2 \cdot 3^{5} \cdot 5 \cdot 41^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$4920$ |
$48$ |
$1$ |
$115.3735327$ |
$1$ |
|
$0$ |
$11480000$ |
$3.321190$ |
$-28375136749115729/2430$ |
$[1, 1, 0, -437948443, -3527808962093]$ |
\(y^2+xy=x^3+x^2-437948443x-3527808962093\) |
5.6.0.a.1, 120.12.0.?, 205.24.0.?, 4920.48.1.? |
$[(22703536469326385812536167573249320472922668952284069/946015698091704643654324, 1089639267600559895887117977672698155921428032390870245923585950258130784214885/946015698091704643654324)]$ |
50430.e2 |
50430e1 |
50430.e |
50430e |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{5} \cdot 3 \cdot 5^{5} \cdot 41^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$4920$ |
$48$ |
$1$ |
$23.07470654$ |
$1$ |
|
$0$ |
$2296000$ |
$2.516472$ |
$-9129329/300000$ |
$[1, 1, 0, -300093, -481116003]$ |
\(y^2+xy=x^3+x^2-300093x-481116003\) |
5.6.0.a.1, 120.12.0.?, 205.24.0.?, 4920.48.1.? |
$[(2120149291429/34124, 2777069094972595355/34124)]$ |
50430.f1 |
50430f7 |
50430.f |
50430f |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{3} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4920$ |
$384$ |
$5$ |
$5.703772592$ |
$4$ |
$2$ |
$0$ |
$1658880$ |
$2.420952$ |
$16778985534208729/81000$ |
$[1, 1, 0, -8965648, -10336598792]$ |
\(y^2+xy=x^3+x^2-8965648x-10336598792\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(29983/2, 4660007/2)]$ |
50430.f2 |
50430f8 |
50430.f |
50430f |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{12} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4920$ |
$384$ |
$5$ |
$22.81509037$ |
$1$ |
|
$0$ |
$1658880$ |
$2.420952$ |
$10316097499609/5859375000$ |
$[1, 1, 0, -762368, -35188728]$ |
\(y^2+xy=x^3+x^2-762368x-35188728\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[(274126432441/12040, 125291282491613169/12040)]$ |
50430.f3 |
50430f6 |
50430.f |
50430f |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$4920$ |
$384$ |
$5$ |
$11.40754518$ |
$1$ |
|
$2$ |
$829440$ |
$2.074379$ |
$4102915888729/9000000$ |
$[1, 1, 0, -560648, -161505792]$ |
\(y^2+xy=x^3+x^2-560648x-161505792\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ |
$[(2430304/31, 3562290288/31)]$ |
50430.f4 |
50430f5 |
50430.f |
50430f |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{4} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4920$ |
$384$ |
$5$ |
$7.605030123$ |
$1$ |
|
$0$ |
$552960$ |
$1.871645$ |
$2656166199049/33750$ |
$[1, 1, 0, -485003, 129803103]$ |
\(y^2+xy=x^3+x^2-485003x+129803103\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(90757/7, 25326846/7)]$ |
50430.f5 |
50430f4 |
50430.f |
50430f |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2 \cdot 3^{12} \cdot 5 \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4920$ |
$384$ |
$5$ |
$1.901257530$ |
$4$ |
$2$ |
$6$ |
$552960$ |
$1.871645$ |
$35578826569/5314410$ |
$[1, 1, 0, -115183, -13007933]$ |
\(y^2+xy=x^3+x^2-115183x-13007933\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(-243, 962)]$ |
50430.f6 |
50430f2 |
50430.f |
50430f |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$4920$ |
$384$ |
$5$ |
$3.802515061$ |
$1$ |
|
$6$ |
$276480$ |
$1.525072$ |
$702595369/72900$ |
$[1, 1, 0, -31133, 1902537]$ |
\(y^2+xy=x^3+x^2-31133x+1902537\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$ |
$[(136, 387)]$ |
50430.f7 |
50430f3 |
50430.f |
50430f |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4920$ |
$384$ |
$5$ |
$22.81509037$ |
$1$ |
|
$1$ |
$414720$ |
$1.727804$ |
$-273359449/1536000$ |
$[1, 1, 0, -22728, -4325568]$ |
\(y^2+xy=x^3+x^2-22728x-4325568\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(54728702288/9331, 12072133839150216/9331)]$ |
50430.f8 |
50430f1 |
50430.f |
50430f |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5 \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4920$ |
$384$ |
$5$ |
$7.605030123$ |
$1$ |
|
$1$ |
$138240$ |
$1.178499$ |
$357911/2160$ |
$[1, 1, 0, 2487, 147573]$ |
\(y^2+xy=x^3+x^2+2487x+147573\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(-1186/7, 97413/7)]$ |
50430.g1 |
50430g2 |
50430.g |
50430g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{18} \cdot 3 \cdot 5^{6} \cdot 41^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$492$ |
$16$ |
$0$ |
$21.66094694$ |
$1$ |
|
$0$ |
$17853696$ |
$3.720104$ |
$21236169302809/12288000000$ |
$[1, 1, 0, -137108278, 6654619732]$ |
\(y^2+xy=x^3+x^2-137108278x+6654619732\) |
3.4.0.a.1, 12.8.0.b.1, 123.8.0.?, 492.16.0.? |
$[(-453984956036/6243, 38704597925130374/6243)]$ |
50430.g2 |
50430g1 |
50430.g |
50430g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 41^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$492$ |
$16$ |
$0$ |
$7.220315647$ |
$1$ |
|
$0$ |
$5951232$ |
$3.170799$ |
$7002221518249/43200$ |
$[1, 1, 0, -94721863, 354791200693]$ |
\(y^2+xy=x^3+x^2-94721863x+354791200693\) |
3.4.0.a.1, 12.8.0.b.1, 123.8.0.?, 492.16.0.? |
$[(49606/3, 297211/3)]$ |
50430.h1 |
50430h1 |
50430.h |
50430h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 41^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$328$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$430080$ |
$1.876450$ |
$16022066761/8302500$ |
$[1, 1, 0, -88287, -3301839]$ |
\(y^2+xy=x^3+x^2-88287x-3301839\) |
2.3.0.a.1, 8.6.0.d.1, 82.6.0.?, 328.12.0.? |
$[]$ |
50430.h2 |
50430h2 |
50430.h |
50430h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{2} \cdot 41^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$328$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$860160$ |
$2.223022$ |
$851701809239/551452050$ |
$[1, 1, 0, 331963, -25238889]$ |
\(y^2+xy=x^3+x^2+331963x-25238889\) |
2.3.0.a.1, 8.6.0.a.1, 164.6.0.?, 328.12.0.? |
$[]$ |
50430.i1 |
50430i1 |
50430.i |
50430i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{13} \cdot 3^{5} \cdot 5^{15} \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$10.67466718$ |
$1$ |
|
$0$ |
$228337200$ |
$4.724358$ |
$-540598825531316542089721/60750000000000000$ |
$[1, 1, 0, -33921424347, 2404910084618781]$ |
\(y^2+xy=x^3+x^2-33921424347x+2404910084618781\) |
120.2.0.? |
$[(7740373/13, 67571445388/13)]$ |
50430.j1 |
50430m2 |
50430.j |
50430m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{18} \cdot 3 \cdot 5^{6} \cdot 41^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$12$ |
$16$ |
$0$ |
$2.625288422$ |
$1$ |
|
$0$ |
$435456$ |
$1.863317$ |
$21236169302809/12288000000$ |
$[1, 0, 1, -81564, 90586]$ |
\(y^2+xy+y=x^3-81564x+90586\) |
3.8.0-3.a.1.1, 12.16.0-12.b.1.2 |
$[(-2183/3, 67261/3)]$ |
50430.j2 |
50430m1 |
50430.j |
50430m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 41^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$12$ |
$16$ |
$0$ |
$0.875096140$ |
$1$ |
|
$8$ |
$145152$ |
$1.314013$ |
$7002221518249/43200$ |
$[1, 0, 1, -56349, 5143672]$ |
\(y^2+xy+y=x^3-56349x+5143672\) |
3.8.0-3.a.1.2, 12.16.0-12.b.1.4 |
$[(131, 54)]$ |
50430.k1 |
50430j2 |
50430.k |
50430j |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2 \cdot 3^{5} \cdot 5 \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$4920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$280000$ |
$1.464405$ |
$-28375136749115729/2430$ |
$[1, 0, 1, -260529, -51205334]$ |
\(y^2+xy+y=x^3-260529x-51205334\) |
5.6.0.a.1, 120.12.0.?, 205.24.0.?, 4920.48.1.? |
$[]$ |
50430.k2 |
50430j1 |
50430.k |
50430j |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{5} \cdot 3 \cdot 5^{5} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$4920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$56000$ |
$0.659686$ |
$-9129329/300000$ |
$[1, 0, 1, -179, -6994]$ |
\(y^2+xy+y=x^3-179x-6994\) |
5.6.0.a.1, 120.12.0.?, 205.24.0.?, 4920.48.1.? |
$[]$ |
50430.l1 |
50430k1 |
50430.l |
50430k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{6} \cdot 3^{17} \cdot 5^{2} \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1.873360824$ |
$1$ |
|
$4$ |
$11241216$ |
$3.513870$ |
$65412215191030009/206624260800$ |
$[1, 0, 1, -167778124, -834199386934]$ |
\(y^2+xy+y=x^3-167778124x-834199386934\) |
12.2.0.a.1 |
$[(-7607, 47543)]$ |
50430.m1 |
50430l2 |
50430.m |
50430l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{9} \cdot 3 \cdot 5^{3} \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$120$ |
$16$ |
$0$ |
$79.98197068$ |
$1$ |
|
$0$ |
$1115856$ |
$2.294529$ |
$-13410393529/192000$ |
$[1, 0, 1, -989304, -383479994]$ |
\(y^2+xy+y=x^3-989304x-383479994\) |
3.8.0-3.a.1.1, 120.16.0.? |
$[(45355357702636645875413154362476675/3967203508897578, 8893280662907554051834480942618816332694517370905339/3967203508897578)]$ |
50430.m2 |
50430l1 |
50430.m |
50430l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5 \cdot 41^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120$ |
$16$ |
$0$ |
$26.66065689$ |
$1$ |
|
$2$ |
$371952$ |
$1.745222$ |
$1221431/1080$ |
$[1, 0, 1, 44511, -2622548]$ |
\(y^2+xy+y=x^3+44511x-2622548\) |
3.8.0-3.a.1.2, 120.16.0.? |
$[(537383251379/43306, 459653750178741135/43306)]$ |
50430.n1 |
50430o1 |
50430.n |
50430o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{13} \cdot 3^{5} \cdot 5^{15} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.404764039$ |
$1$ |
|
$4$ |
$5569200$ |
$2.867569$ |
$-540598825531316542089721/60750000000000000$ |
$[1, 0, 1, -20179313, 34892243588]$ |
\(y^2+xy+y=x^3-20179313x+34892243588\) |
120.2.0.? |
$[(3354, 68635)]$ |
50430.o1 |
50430n2 |
50430.o |
50430n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{3} \cdot 41^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1640$ |
$12$ |
$0$ |
$1.233984558$ |
$1$ |
|
$6$ |
$1290240$ |
$2.490788$ |
$305106651317161/2757260250$ |
$[1, 0, 1, -2357638, 1382242406]$ |
\(y^2+xy+y=x^3-2357638x+1382242406\) |
2.3.0.a.1, 40.6.0.b.1, 164.6.0.?, 1640.12.0.? |
$[(1042, 7043)]$ |
50430.o2 |
50430n1 |
50430.o |
50430n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 41^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1640$ |
$12$ |
$0$ |
$0.616992279$ |
$1$ |
|
$9$ |
$645120$ |
$2.144215$ |
$392383937161/207562500$ |
$[1, 0, 1, -256388, -14668594]$ |
\(y^2+xy+y=x^3-256388x-14668594\) |
2.3.0.a.1, 40.6.0.c.1, 82.6.0.?, 1640.12.0.? |
$[(-393, 5239)]$ |
50430.p1 |
50430r1 |
50430.p |
50430r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5 \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4920$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$201600$ |
$1.414442$ |
$-1027243729/4920$ |
$[1, 1, 1, -35336, -2581951]$ |
\(y^2+xy+y=x^3+x^2-35336x-2581951\) |
4920.2.0.? |
$[]$ |
50430.q1 |
50430p2 |
50430.q |
50430p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5 \cdot 41^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$820$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$3778560$ |
$2.890152$ |
$200098975049/10628820$ |
$[1, 1, 1, -8398311, 8923998729]$ |
\(y^2+xy+y=x^3+x^2-8398311x+8923998729\) |
2.3.0.a.1, 20.6.0.d.1, 164.6.0.?, 410.6.0.?, 820.12.0.? |
$[]$ |
50430.q2 |
50430p1 |
50430.q |
50430p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 41^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$820$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1889280$ |
$2.543575$ |
$1154320649/291600$ |
$[1, 1, 1, -1506211, -534719311]$ |
\(y^2+xy+y=x^3+x^2-1506211x-534719311\) |
2.3.0.a.1, 20.6.0.d.1, 82.6.0.?, 820.12.0.? |
$[]$ |
50430.r1 |
50430q2 |
50430.r |
50430q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2 \cdot 3^{12} \cdot 5^{7} \cdot 41^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1640$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$22579200$ |
$3.817623$ |
$64143574428979927522369/139586300156250$ |
$[1, 1, 1, -1401880071, 20202310100979]$ |
\(y^2+xy+y=x^3+x^2-1401880071x+20202310100979\) |
2.3.0.a.1, 40.6.0.b.1, 164.6.0.?, 1640.12.0.? |
$[]$ |
50430.r2 |
50430q1 |
50430.r |
50430q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{14} \cdot 41^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1640$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$11289600$ |
$3.471050$ |
$16192145593815022369/729711914062500$ |
$[1, 1, 1, -88598821, 308200413479]$ |
\(y^2+xy+y=x^3+x^2-88598821x+308200413479\) |
2.3.0.a.1, 40.6.0.c.1, 82.6.0.?, 1640.12.0.? |
$[]$ |
50430.s1 |
50430t1 |
50430.s |
50430t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{11} \cdot 3^{13} \cdot 5 \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$8.750842513$ |
$1$ |
|
$0$ |
$9849840$ |
$3.115650$ |
$-466393214209/16325867520$ |
$[1, 1, 1, -3229236, 17512933749]$ |
\(y^2+xy+y=x^3+x^2-3229236x+17512933749\) |
120.2.0.? |
$[(1429/3, 3518651/3)]$ |
50430.t1 |
50430s3 |
50430.t |
50430s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 41^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2460$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$5806080$ |
$2.942173$ |
$229545811016693569/155072250000$ |
$[1, 1, 1, -21442871, -38205021571]$ |
\(y^2+xy+y=x^3+x^2-21442871x-38205021571\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 20.6.0.b.1, 60.48.0-60.p.1.2, $\ldots$ |
$[]$ |
50430.t2 |
50430s4 |
50430.t |
50430s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 5^{3} \cdot 41^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2460$ |
$96$ |
$1$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$11612160$ |
$3.288746$ |
$-119305480789133569/192379221760500$ |
$[1, 1, 1, -17240371, -53621472571]$ |
\(y^2+xy+y=x^3+x^2-17240371x-53621472571\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 20.6.0.a.1, $\ldots$ |
$[]$ |
50430.t3 |
50430s1 |
50430.t |
50430s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 41^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2460$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1935360$ |
$2.392864$ |
$15195864748609/3060633600$ |
$[1, 1, 1, -867431, 250717853]$ |
\(y^2+xy+y=x^3+x^2-867431x+250717853\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 20.6.0.b.1, 60.48.0-60.p.1.1, $\ldots$ |
$[]$ |
50430.t4 |
50430s2 |
50430.t |
50430s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 41^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2460$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3870720$ |
$2.739441$ |
$140859621945791/285872742720$ |
$[1, 1, 1, 1822169, 1499768093]$ |
\(y^2+xy+y=x^3+x^2+1822169x+1499768093\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 20.6.0.a.1, $\ldots$ |
$[]$ |
50430.u1 |
50430u2 |
50430.u |
50430u |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2 \cdot 3 \cdot 5 \cdot 41^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$34440$ |
$96$ |
$2$ |
$3.877431464$ |
$49$ |
$7$ |
$0$ |
$23049600$ |
$3.812023$ |
$-192081665892474305747281/5842628216430$ |
$[1, 1, 1, -2020637680, -34961596366945]$ |
\(y^2+xy+y=x^3+x^2-2020637680x-34961596366945\) |
7.24.0.a.2, 287.48.0.?, 840.48.0.?, 4920.2.0.?, 34440.96.2.? |
$[(900285/4, 345768001/4)]$ |
50430.u2 |
50430u1 |
50430.u |
50430u |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{7} \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$34440$ |
$96$ |
$2$ |
$0.553918780$ |
$1$ |
|
$2$ |
$3292800$ |
$2.839069$ |
$1354330706847119/896670000000$ |
$[1, 1, 1, 3874670, -1112637025]$ |
\(y^2+xy+y=x^3+x^2+3874670x-1112637025\) |
7.24.0.a.1, 287.48.0.?, 840.48.0.?, 4920.2.0.?, 34440.96.2.? |
$[(3693, 250303)]$ |
50430.v1 |
50430v1 |
50430.v |
50430v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 41^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$330624$ |
$1.685545$ |
$2825761/300$ |
$[1, 1, 1, -58870, -4992505]$ |
\(y^2+xy+y=x^3+x^2-58870x-4992505\) |
12.2.0.a.1 |
$[]$ |
50430.w1 |
50430y1 |
50430.w |
50430y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( - 2^{11} \cdot 3^{13} \cdot 5 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.118256419$ |
$1$ |
|
$10$ |
$240240$ |
$1.258865$ |
$-466393214209/16325867520$ |
$[1, 0, 0, -1921, 253961]$ |
\(y^2+xy=x^3-1921x+253961\) |
120.2.0.? |
$[(38, 467)]$ |
50430.x1 |
50430w2 |
50430.x |
50430w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5 \cdot 41^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$820$ |
$12$ |
$0$ |
$0.937158832$ |
$1$ |
|
$4$ |
$92160$ |
$1.033363$ |
$200098975049/10628820$ |
$[1, 0, 0, -4996, 129116]$ |
\(y^2+xy=x^3-4996x+129116\) |
2.3.0.a.1, 20.6.0.d.1, 164.6.0.?, 410.6.0.?, 820.12.0.? |
$[(68, 290)]$ |
50430.x2 |
50430w1 |
50430.x |
50430w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 41^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$820$ |
$12$ |
$0$ |
$0.468579416$ |
$1$ |
|
$9$ |
$46080$ |
$0.686790$ |
$1154320649/291600$ |
$[1, 0, 0, -896, -7824]$ |
\(y^2+xy=x^3-896x-7824\) |
2.3.0.a.1, 20.6.0.d.1, 82.6.0.?, 820.12.0.? |
$[(-14, 52)]$ |