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 |
54150.a1 |
54150n1 |
54150.a |
54150n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{4} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$0.738568458$ |
$1$ |
|
$6$ |
$691200$ |
$1.935263$ |
$-23891790625/1181952$ |
$1.01527$ |
$4.41150$ |
$[1, 1, 0, -185200, -32038400]$ |
\(y^2+xy=x^3+x^2-185200x-32038400\) |
228.2.0.? |
$[(720, 14080)]$ |
54150.b1 |
54150j1 |
54150.b |
54150j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{5} \cdot 5^{6} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1036800$ |
$2.096249$ |
$96386901625/18468$ |
$0.97983$ |
$4.82727$ |
$[1, 1, 0, -862075, 307671625]$ |
\(y^2+xy=x^3+x^2-862075x+307671625\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[]$ |
54150.b2 |
54150j2 |
54150.b |
54150j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2 \cdot 3^{10} \cdot 5^{6} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2073600$ |
$2.442822$ |
$-69173457625/42633378$ |
$0.99175$ |
$4.86336$ |
$[1, 1, 0, -771825, 374727375]$ |
\(y^2+xy=x^3+x^2-771825x+374727375\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[]$ |
54150.c1 |
54150i2 |
54150.c |
54150i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3317760$ |
$2.720928$ |
$468898230633769/5540400$ |
$0.97926$ |
$5.60618$ |
$[1, 1, 0, -14607150, -21493885500]$ |
\(y^2+xy=x^3+x^2-14607150x-21493885500\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
54150.c2 |
54150i1 |
54150.c |
54150i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1658880$ |
$2.374355$ |
$-105756712489/12476160$ |
$0.92671$ |
$4.85280$ |
$[1, 1, 0, -889150, -354447500]$ |
\(y^2+xy=x^3+x^2-889150x-354447500\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
54150.d1 |
54150h2 |
54150.d |
54150h |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{10} \cdot 19^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1140$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$12960000$ |
$3.430885$ |
$-1389310279182025/267418692$ |
$1.01569$ |
$6.29651$ |
$[1, 1, 0, -179376575, 924770189625]$ |
\(y^2+xy=x^3+x^2-179376575x+924770189625\) |
5.12.0.a.2, 60.24.0-5.a.2.4, 95.24.0.?, 228.2.0.?, 1140.48.1.? |
$[]$ |
54150.d2 |
54150h1 |
54150.d |
54150h |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{15} \cdot 5^{2} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1140$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2592000$ |
$2.626167$ |
$480705753733655/279172334592$ |
$1.08504$ |
$5.01782$ |
$[1, 1, 0, 1722685, -51097395]$ |
\(y^2+xy=x^3+x^2+1722685x-51097395\) |
5.12.0.a.1, 60.24.0-5.a.1.4, 95.24.0.?, 228.2.0.?, 1140.48.1.? |
$[]$ |
54150.e1 |
54150m4 |
54150.e |
54150m |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$2280$ |
$288$ |
$5$ |
$9.785150430$ |
$1$ |
|
$0$ |
$576000$ |
$1.938240$ |
$502270291349/1889568$ |
$1.07575$ |
$4.53574$ |
$[1, 1, 0, -298915, -62822675]$ |
\(y^2+xy=x^3+x^2-298915x-62822675\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 40.72.1.bf.1, $\ldots$ |
$[(299369/11, 157796521/11)]$ |
54150.e2 |
54150m2 |
54150.e |
54150m |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2 \cdot 3^{2} \cdot 5^{3} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$2280$ |
$288$ |
$5$ |
$1.957030086$ |
$1$ |
|
$4$ |
$115200$ |
$1.133522$ |
$131872229/18$ |
$1.12852$ |
$3.77928$ |
$[1, 1, 0, -19140, 1011150]$ |
\(y^2+xy=x^3+x^2-19140x+1011150\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 40.72.1.bf.2, $\ldots$ |
$[(75, 30)]$ |
54150.e3 |
54150m3 |
54150.e |
54150m |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{3} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$2280$ |
$288$ |
$5$ |
$4.892575215$ |
$1$ |
|
$3$ |
$288000$ |
$1.591667$ |
$-19465109/248832$ |
$1.09754$ |
$3.89178$ |
$[1, 1, 0, -10115, -1885875]$ |
\(y^2+xy=x^3+x^2-10115x-1885875\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 30.72.1.i.1, $\ldots$ |
$[(2449, 119891)]$ |
54150.e4 |
54150m1 |
54150.e |
54150m |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{3} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$2280$ |
$288$ |
$5$ |
$0.978515043$ |
$1$ |
|
$7$ |
$57600$ |
$0.786948$ |
$-24389/12$ |
$1.10339$ |
$3.04712$ |
$[1, 1, 0, -1090, 18400]$ |
\(y^2+xy=x^3+x^2-1090x+18400\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 30.72.1.i.2, $\ldots$ |
$[(-21, 191)]$ |
54150.f1 |
54150d1 |
54150.f |
54150d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2 \cdot 3^{4} \cdot 5^{2} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.264606632$ |
$1$ |
|
$0$ |
$164160$ |
$1.334135$ |
$95/162$ |
$1.32287$ |
$3.60717$ |
$[1, 1, 0, 715, 399255]$ |
\(y^2+xy=x^3+x^2+715x+399255\) |
8.2.0.a.1 |
$[(239/2, 6259/2)]$ |
54150.g1 |
54150e1 |
54150.g |
54150e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{6} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3939840$ |
$2.935394$ |
$-1100553625/62208$ |
$1.03685$ |
$5.50605$ |
$[1, 1, 0, -9841950, -12455167500]$ |
\(y^2+xy=x^3+x^2-9841950x-12455167500\) |
6.2.0.a.1 |
$[]$ |
54150.h1 |
54150b2 |
54150.h |
54150b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2 \cdot 3^{2} \cdot 5^{15} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1.676811264$ |
$1$ |
|
$4$ |
$933120$ |
$2.142467$ |
$-27692833539889/35156250$ |
$1.02575$ |
$4.80652$ |
$[1, 1, 0, -798900, -275478750]$ |
\(y^2+xy=x^3+x^2-798900x-275478750\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 24.8.0-3.a.1.7, 40.2.0.a.1, 120.16.0.? |
$[(1215, 22830)]$ |
54150.h2 |
54150b1 |
54150.h |
54150b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{9} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.558937088$ |
$1$ |
|
$4$ |
$311040$ |
$1.593161$ |
$129205871/729000$ |
$0.99633$ |
$3.87910$ |
$[1, 1, 0, 13350, -1750500]$ |
\(y^2+xy=x^3+x^2+13350x-1750500\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 24.8.0-3.a.1.8, 40.2.0.a.1, 120.16.0.? |
$[(1005, 31560)]$ |
54150.i1 |
54150a1 |
54150.i |
54150a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{22} \cdot 3 \cdot 5^{8} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.215398276$ |
$1$ |
|
$0$ |
$7223040$ |
$3.227978$ |
$-41081844659329/314572800$ |
$0.99577$ |
$5.92429$ |
$[1, 1, 0, -46194650, 121624564500]$ |
\(y^2+xy=x^3+x^2-46194650x+121624564500\) |
6.2.0.a.1 |
$[(18180/7, 110835570/7)]$ |
54150.j1 |
54150f2 |
54150.j |
54150f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{12} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$2.525005$ |
$6947097508441/10687500$ |
$0.95430$ |
$5.21974$ |
$[1, 1, 0, -3587625, -2613540375]$ |
\(y^2+xy=x^3+x^2-3587625x-2613540375\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
54150.j2 |
54150f1 |
54150.j |
54150f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{9} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$829440$ |
$2.178429$ |
$-594823321/2166000$ |
$1.06643$ |
$4.54276$ |
$[1, 1, 0, -158125, -65421875]$ |
\(y^2+xy=x^3+x^2-158125x-65421875\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
54150.k1 |
54150c2 |
54150.k |
54150c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.306943951$ |
$1$ |
|
$6$ |
$491520$ |
$2.016109$ |
$276288773643091/41990400$ |
$1.02053$ |
$4.74722$ |
$[1, 1, 0, -644525, 198868125]$ |
\(y^2+xy=x^3+x^2-644525x+198868125\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(490, 755)]$ |
54150.k2 |
54150c1 |
54150.k |
54150c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{7} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$2.613887903$ |
$1$ |
|
$5$ |
$245760$ |
$1.669535$ |
$-50284268371/26542080$ |
$0.98280$ |
$4.01661$ |
$[1, 1, 0, -36525, 3700125]$ |
\(y^2+xy=x^3+x^2-36525x+3700125\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[(26, 1651)]$ |
54150.l1 |
54150g2 |
54150.l |
54150g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{7} \cdot 3 \cdot 5^{12} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5806080$ |
$2.946457$ |
$882774443450089/2166000000$ |
$0.98264$ |
$5.66423$ |
$[1, 1, 0, -18036650, 29413612500]$ |
\(y^2+xy=x^3+x^2-18036650x+29413612500\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[]$ |
54150.l2 |
54150g1 |
54150.l |
54150g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{9} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2903040$ |
$2.599880$ |
$-53540005609/350208000$ |
$0.96547$ |
$5.00360$ |
$[1, 1, 0, -708650, 805084500]$ |
\(y^2+xy=x^3+x^2-708650x+805084500\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[]$ |
54150.m1 |
54150l1 |
54150.m |
54150l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2 \cdot 3^{4} \cdot 5^{8} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.340373477$ |
$1$ |
|
$2$ |
$43200$ |
$0.666636$ |
$95/162$ |
$1.32287$ |
$2.87227$ |
$[1, 1, 0, 50, -7250]$ |
\(y^2+xy=x^3+x^2+50x-7250\) |
8.2.0.a.1 |
$[(85, 745)]$ |
54150.n1 |
54150k1 |
54150.n |
54150k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{13} \cdot 3^{4} \cdot 5^{9} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$539136$ |
$1.637560$ |
$-9082538350921/82944000$ |
$0.98732$ |
$4.16519$ |
$[1, 1, 0, -77375, 8317125]$ |
\(y^2+xy=x^3+x^2-77375x+8317125\) |
40.2.0.a.1 |
$[]$ |
54150.o1 |
54150u2 |
54150.o |
54150u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{6} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$0.353494234$ |
$1$ |
|
$36$ |
$573440$ |
$1.758192$ |
$248028267187/76527504$ |
$1.06020$ |
$4.10356$ |
$[1, 0, 1, -62176, 4071998]$ |
\(y^2+xy+y=x^3-62176x+4071998\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[(37, 1331), (-8, 2141)]$ |
54150.o2 |
54150u1 |
54150.o |
54150u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1.413976938$ |
$1$ |
|
$21$ |
$286720$ |
$1.411619$ |
$14580432307/559872$ |
$1.02951$ |
$3.84356$ |
$[1, 0, 1, -24176, -1400002]$ |
\(y^2+xy+y=x^3-24176x-1400002\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(-87, 259), (-78, 151)]$ |
54150.p1 |
54150bd4 |
54150.p |
54150bd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{20} \cdot 5^{7} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$2.497058975$ |
$1$ |
|
$4$ |
$77414400$ |
$4.350342$ |
$207530301091125281552569/805586668007040$ |
$1.05095$ |
$7.43270$ |
$[1, 0, 1, -11131827776, 452059378589198]$ |
\(y^2+xy+y=x^3-11131827776x+452059378589198\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 76.12.0.?, $\ldots$ |
$[(48822, 4970926)]$ |
54150.p2 |
54150bd3 |
54150.p |
54150bd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{5} \cdot 5^{10} \cdot 19^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$9.988235900$ |
$1$ |
|
$0$ |
$77414400$ |
$4.350342$ |
$1412712966892699019449/330160465517040000$ |
$1.04349$ |
$6.97490$ |
$[1, 0, 1, -2109715776, -28798258786802]$ |
\(y^2+xy+y=x^3-2109715776x-28798258786802\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(-1514782/7, 904854378/7)]$ |
54150.p3 |
54150bd2 |
54150.p |
54150bd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{8} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2280$ |
$48$ |
$0$ |
$4.994117950$ |
$1$ |
|
$6$ |
$38707200$ |
$4.003769$ |
$52974743974734147769/3152005008998400$ |
$1.02895$ |
$6.67366$ |
$[1, 0, 1, -706147776, 6841139869198]$ |
\(y^2+xy+y=x^3-706147776x+6841139869198\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 60.12.0.b.1, 76.12.0.?, $\ldots$ |
$[(11522, 478551)]$ |
54150.p4 |
54150bd1 |
54150.p |
54150bd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{28} \cdot 3^{5} \cdot 5^{7} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$2.497058975$ |
$1$ |
|
$7$ |
$19353600$ |
$3.657200$ |
$5495662324535111/117739817533440$ |
$1.03950$ |
$6.16083$ |
$[1, 0, 1, 33180224, 441516701198]$ |
\(y^2+xy+y=x^3+33180224x+441516701198\) |
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, $\ldots$ |
$[(-5708, 260066)]$ |
54150.q1 |
54150s1 |
54150.q |
54150s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 5^{7} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$656640$ |
$2.056976$ |
$463391/1440$ |
$0.86766$ |
$4.37939$ |
$[1, 0, 1, 103599, -26821052]$ |
\(y^2+xy+y=x^3+103599x-26821052\) |
40.2.0.a.1 |
$[]$ |
54150.r1 |
54150bk1 |
54150.r |
54150bk |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{19} \cdot 3^{4} \cdot 5^{8} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$492480$ |
$1.814766$ |
$-1843005386785/42467328$ |
$0.99644$ |
$4.31633$ |
$[1, 0, 1, -132951, -19037702]$ |
\(y^2+xy+y=x^3-132951x-19037702\) |
8.2.0.a.1 |
$[]$ |
54150.s1 |
54150bg1 |
54150.s |
54150bg |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{4} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$5.082053012$ |
$1$ |
|
$2$ |
$459648$ |
$1.797873$ |
$-3258025/1152$ |
$1.09878$ |
$4.17145$ |
$[1, 0, 1, -67876, -8644702]$ |
\(y^2+xy+y=x^3-67876x-8644702\) |
8.2.0.a.1 |
$[(312, 601)]$ |
54150.t1 |
54150z1 |
54150.t |
54150z |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$22.70948734$ |
$1$ |
|
$0$ |
$4333824$ |
$2.940792$ |
$-14899652746105/1492992$ |
$1.04152$ |
$5.77969$ |
$[1, 0, 1, -27435286, -55318180312]$ |
\(y^2+xy+y=x^3-27435286x-55318180312\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 285.8.0.?, 2280.16.0.? |
$[(31389380467/218, 5557675934421799/218)]$ |
54150.t2 |
54150z2 |
54150.t |
54150z |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{33} \cdot 3^{2} \cdot 5^{2} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$68.12846202$ |
$1$ |
|
$0$ |
$13001472$ |
$3.490097$ |
$4847542295/77309411328$ |
$1.18091$ |
$5.98091$ |
$[1, 0, 1, 1886939, -165616661872]$ |
\(y^2+xy+y=x^3+1886939x-165616661872\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 285.8.0.?, 2280.16.0.? |
$[(385130331551655390689230514907/763610498318, 238860979296335477740944997352330140309382669/763610498318)]$ |
54150.u1 |
54150x4 |
54150.u |
54150x |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{8} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$15.29344957$ |
$1$ |
|
$0$ |
$7464960$ |
$3.396038$ |
$46237740924063961/1806561830400$ |
$1.00221$ |
$6.02741$ |
$[1, 0, 1, -67484626, 206046130148]$ |
\(y^2+xy+y=x^3-67484626x+206046130148\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 24.48.0-24.ca.1.6, $\ldots$ |
$[(48102573/52, 301474997923/52)]$ |
54150.u2 |
54150x2 |
54150.u |
54150x |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$5.097816523$ |
$1$ |
|
$2$ |
$2488320$ |
$2.846733$ |
$148212258825961/1218375000$ |
$0.97315$ |
$5.50051$ |
$[1, 0, 1, -9950251, -11995613602]$ |
\(y^2+xy+y=x^3-9950251x-11995613602\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 24.48.0-24.ca.1.14, $\ldots$ |
$[(17212, 2208581)]$ |
54150.u3 |
54150x1 |
54150.u |
54150x |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{9} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$2.548908261$ |
$1$ |
|
$5$ |
$1244160$ |
$2.500156$ |
$-1263214441/110808000$ |
$0.98712$ |
$4.89085$ |
$[1, 0, 1, -203251, -435671602]$ |
\(y^2+xy+y=x^3-203251x-435671602\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 24.48.0-24.cd.1.2, 190.6.0.?, $\ldots$ |
$[(967, 16016)]$ |
54150.u4 |
54150x3 |
54150.u |
54150x |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{18} \cdot 3^{2} \cdot 5^{7} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$7.646724785$ |
$1$ |
|
$1$ |
$3732480$ |
$3.049465$ |
$918046641959/80912056320$ |
$1.02394$ |
$5.49456$ |
$[1, 0, 1, 1827374, 11695282148]$ |
\(y^2+xy+y=x^3+1827374x+11695282148\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 24.48.0-24.cd.1.6, 190.6.0.?, $\ldots$ |
$[(272997/4, 142707799/4)]$ |
54150.v1 |
54150q2 |
54150.v |
54150q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.391718$ |
$781484460931/900$ |
$0.98883$ |
$4.20885$ |
$[1, 0, 1, -91151, -10599802]$ |
\(y^2+xy+y=x^3-91151x-10599802\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
54150.v2 |
54150q1 |
54150.v |
54150q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.045145$ |
$-186169411/6480$ |
$0.91957$ |
$3.44883$ |
$[1, 0, 1, -5651, -168802]$ |
\(y^2+xy+y=x^3-5651x-168802\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[]$ |
54150.w1 |
54150y2 |
54150.w |
54150y |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{2} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1140$ |
$16$ |
$0$ |
$1.493942360$ |
$1$ |
|
$0$ |
$311040$ |
$1.611038$ |
$-1392225385/1316928$ |
$0.92383$ |
$3.93673$ |
$[1, 0, 1, -24556, 2401898]$ |
\(y^2+xy+y=x^3-24556x+2401898\) |
3.4.0.a.1, 60.8.0-3.a.1.4, 228.8.0.?, 285.8.0.?, 1140.16.0.? |
$[(1657/3, 52373/3)]$ |
54150.w2 |
54150y1 |
54150.w |
54150y |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1140$ |
$16$ |
$0$ |
$0.497980786$ |
$1$ |
|
$2$ |
$103680$ |
$1.061731$ |
$1503815/2052$ |
$0.84655$ |
$3.24922$ |
$[1, 0, 1, 2519, -56512]$ |
\(y^2+xy+y=x^3+2519x-56512\) |
3.4.0.a.1, 60.8.0-3.a.1.3, 228.8.0.?, 285.8.0.?, 1140.16.0.? |
$[(163, 2084)]$ |
54150.x1 |
54150ba1 |
54150.x |
54150ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2 \cdot 3^{10} \cdot 5^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.328999084$ |
$1$ |
|
$4$ |
$34560$ |
$0.448750$ |
$-442458985/118098$ |
$0.93891$ |
$2.69690$ |
$[1, 0, 1, -331, 2768]$ |
\(y^2+xy+y=x^3-331x+2768\) |
8.2.0.a.1 |
$[(16, 32)]$ |
54150.y1 |
54150bi2 |
54150.y |
54150bi |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{3} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$691200$ |
$1.988146$ |
$14809006736693/34656$ |
$1.03845$ |
$4.84620$ |
$[1, 0, 1, -923446, -341634712]$ |
\(y^2+xy+y=x^3-923446x-341634712\) |
2.3.0.a.1, 120.6.0.?, 380.6.0.?, 456.6.0.?, 2280.12.0.? |
$[]$ |
54150.y2 |
54150bi1 |
54150.y |
54150bi |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$345600$ |
$1.641573$ |
$-3491055413/175104$ |
$0.98978$ |
$4.08748$ |
$[1, 0, 1, -57046, -5471512]$ |
\(y^2+xy+y=x^3-57046x-5471512\) |
2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.? |
$[]$ |
54150.z1 |
54150bj2 |
54150.z |
54150bj |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2 \cdot 3^{14} \cdot 5^{9} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4838400$ |
$2.960873$ |
$428831641421/181752822$ |
$0.98464$ |
$5.40721$ |
$[1, 0, 1, -7089326, -3759073702]$ |
\(y^2+xy+y=x^3-7089326x-3759073702\) |
2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[]$ |
54150.z2 |
54150bj1 |
54150.z |
54150bj |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{9} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2419200$ |
$2.614300$ |
$3936827539/3158028$ |
$0.95500$ |
$4.97685$ |
$[1, 0, 1, 1484424, -432458702]$ |
\(y^2+xy+y=x^3+1484424x-432458702\) |
2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[]$ |
54150.ba1 |
54150bh1 |
54150.ba |
54150bh |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{16} \cdot 3 \cdot 5^{8} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1382400$ |
$2.487034$ |
$272199695/3735552$ |
$0.95892$ |
$4.87060$ |
$[1, 0, 1, 356299, 390170048]$ |
\(y^2+xy+y=x^3+356299x+390170048\) |
228.2.0.? |
$[]$ |
54150.bb1 |
54150o2 |
54150.bb |
54150o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{10} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3502080$ |
$2.914291$ |
$4904335099/1822500$ |
$0.97209$ |
$5.36446$ |
$[1, 0, 1, -6069501, 3442461148]$ |
\(y^2+xy+y=x^3-6069501x+3442461148\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[]$ |