| 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 |
| 412200.a1 |
412200a1 |
412200.a |
412200a |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{10} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1832$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4546560$ |
$1.872967$ |
$-5882450/2061$ |
$0.83228$ |
$3.58656$ |
$[0, 0, 0, -91875, -13581250]$ |
\(y^2=x^3-91875x-13581250\) |
1832.2.0.? |
$[ ]$ |
| 412200.b1 |
412200b1 |
412200.b |
412200b |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 229 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1374$ |
$2$ |
$0$ |
$1.091666987$ |
$1$ |
|
$12$ |
$221184$ |
$0.479874$ |
$-864000/229$ |
$0.74609$ |
$2.30264$ |
$[0, 0, 0, -375, 3375]$ |
\(y^2=x^3-375x+3375\) |
1374.2.0.? |
$[(-15, 75), (10, 25)]$ |
| 412200.c1 |
412200c1 |
412200.c |
412200c |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 229 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$458$ |
$2$ |
$0$ |
$3.167946661$ |
$1$ |
|
$2$ |
$815360$ |
$1.165308$ |
$8586756/229$ |
$0.75440$ |
$3.02767$ |
$[0, 0, 0, -9675, 357750]$ |
\(y^2=x^3-9675x+357750\) |
458.2.0.? |
$[(31, 296)]$ |
| 412200.d1 |
412200d1 |
412200.d |
412200d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2748$ |
$12$ |
$0$ |
$1.337880651$ |
$1$ |
|
$7$ |
$835584$ |
$1.330873$ |
$2110056448/166941$ |
$0.84764$ |
$3.13172$ |
$[0, 0, 0, -15150, -666875]$ |
\(y^2=x^3-15150x-666875\) |
2.3.0.a.1, 12.6.0.c.1, 458.6.0.?, 2748.12.0.? |
$[(-70, 225)]$ |
| 412200.d2 |
412200d2 |
412200.d |
412200d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2748$ |
$12$ |
$0$ |
$2.675761303$ |
$1$ |
|
$7$ |
$1671168$ |
$1.677446$ |
$133846832/1415907$ |
$0.85922$ |
$3.35326$ |
$[0, 0, 0, 15225, -3005750]$ |
\(y^2=x^3+15225x-3005750\) |
2.3.0.a.1, 6.6.0.a.1, 916.6.0.?, 2748.12.0.? |
$[(335, 6300)]$ |
| 412200.e1 |
412200e2 |
412200.e |
412200e |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2748$ |
$12$ |
$0$ |
$2.393721254$ |
$1$ |
|
$5$ |
$3145728$ |
$1.882179$ |
$739674007504/1288125$ |
$0.83819$ |
$3.79936$ |
$[0, 0, 0, -269175, -53671750]$ |
\(y^2=x^3-269175x-53671750\) |
2.3.0.a.1, 12.6.0.c.1, 458.6.0.?, 2748.12.0.? |
$[(-295, 250)]$ |
| 412200.e2 |
412200e1 |
412200.e |
412200e |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2748$ |
$12$ |
$0$ |
$4.787442509$ |
$1$ |
|
$3$ |
$1572864$ |
$1.535606$ |
$-934979584/3933075$ |
$0.82770$ |
$3.23216$ |
$[0, 0, 0, -11550, -1373875]$ |
\(y^2=x^3-11550x-1373875\) |
2.3.0.a.1, 6.6.0.a.1, 916.6.0.?, 2748.12.0.? |
$[(770, 21125)]$ |
| 412200.f1 |
412200f1 |
412200.f |
412200f |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 229 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1374$ |
$2$ |
$0$ |
$3.044774395$ |
$1$ |
|
$2$ |
$663552$ |
$1.029181$ |
$-864000/229$ |
$0.74609$ |
$2.81247$ |
$[0, 0, 0, -3375, -91125]$ |
\(y^2=x^3-3375x-91125\) |
1374.2.0.? |
$[(70, 125)]$ |
| 412200.g1 |
412200g2 |
412200.g |
412200g |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{12} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$5.696028520$ |
$1$ |
|
$1$ |
$9732096$ |
$2.433559$ |
$5742523604164/2608453125$ |
$0.89166$ |
$4.06510$ |
$[0, 0, 0, -846075, 138919750]$ |
\(y^2=x^3-846075x+138919750\) |
2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? |
$[(-1135/2, 150975/2)]$ |
| 412200.g2 |
412200g1 |
412200.g |
412200g |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{9} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$2.848014260$ |
$1$ |
|
$3$ |
$4866048$ |
$2.086983$ |
$237900617264/176988375$ |
$0.85381$ |
$3.71163$ |
$[0, 0, 0, 184425, 16290250]$ |
\(y^2=x^3+184425x+16290250\) |
2.3.0.a.1, 30.6.0.a.1, 916.6.0.?, 13740.12.0.? |
$[(1730, 74250)]$ |
| 412200.h1 |
412200h1 |
412200.h |
412200h |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 229 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1374$ |
$2$ |
$0$ |
$2.379796375$ |
$1$ |
|
$12$ |
$442368$ |
$1.003981$ |
$-4000000/6183$ |
$0.82253$ |
$2.74750$ |
$[0, 0, 0, -1875, 59875]$ |
\(y^2=x^3-1875x+59875\) |
1374.2.0.? |
$[(5, 225), (30, 175)]$ |
| 412200.i1 |
412200i1 |
412200.i |
412200i |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 229 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1374$ |
$2$ |
$0$ |
$1.207676560$ |
$1$ |
|
$12$ |
$286720$ |
$0.813874$ |
$340736/687$ |
$0.68402$ |
$2.52680$ |
$[0, 0, 0, 825, 14375]$ |
\(y^2=x^3+825x+14375\) |
1374.2.0.? |
$[(25, 225), (-11, 63)]$ |
| 412200.j1 |
412200j1 |
412200.j |
412200j |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{10} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1832$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1551360$ |
$1.707718$ |
$1796850/229$ |
$0.70994$ |
$3.45822$ |
$[0, 0, 0, -61875, -5231250]$ |
\(y^2=x^3-61875x-5231250\) |
1832.2.0.? |
$[ ]$ |
| 412200.k1 |
412200k1 |
412200.k |
412200k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$1.024680155$ |
$1$ |
|
$7$ |
$761856$ |
$1.279736$ |
$2508888064/51525$ |
$0.78645$ |
$3.14511$ |
$[0, 0, 0, -16050, 768625]$ |
\(y^2=x^3-16050x+768625\) |
2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? |
$[(20, 675)]$ |
| 412200.k2 |
412200k2 |
412200.k |
412200k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{7} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$2.049360311$ |
$1$ |
|
$7$ |
$1523712$ |
$1.626308$ |
$21296/786615$ |
$0.89667$ |
$3.31215$ |
$[0, 0, 0, 825, 2304250]$ |
\(y^2=x^3+825x+2304250\) |
2.3.0.a.1, 30.6.0.a.1, 916.6.0.?, 13740.12.0.? |
$[(95, 1800)]$ |
| 412200.l1 |
412200l2 |
412200.l |
412200l |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{7} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4580$ |
$12$ |
$0$ |
$1.458779354$ |
$1$ |
|
$7$ |
$5308416$ |
$2.074688$ |
$4831626541264/21238605$ |
$0.85659$ |
$3.94452$ |
$[0, 0, 0, -503175, 136858250]$ |
\(y^2=x^3-503175x+136858250\) |
2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.? |
$[(385, 450)]$ |
| 412200.l2 |
412200l1 |
412200.l |
412200l |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{8} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4580$ |
$12$ |
$0$ |
$2.917558708$ |
$1$ |
|
$5$ |
$2654208$ |
$1.728115$ |
$65239066624/37561725$ |
$0.92910$ |
$3.39712$ |
$[0, 0, 0, -47550, -284875]$ |
\(y^2=x^3-47550x-284875\) |
2.3.0.a.1, 20.6.0.c.1, 458.6.0.?, 4580.12.0.? |
$[(-190, 1375)]$ |
| 412200.m1 |
412200m1 |
412200.m |
412200m |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{17} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6870$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12570624$ |
$2.519562$ |
$13103599840256/33544921875$ |
$0.91074$ |
$4.11687$ |
$[0, 0, 0, 701700, -418619500]$ |
\(y^2=x^3+701700x-418619500\) |
6870.2.0.? |
$[ ]$ |
| 412200.n1 |
412200n1 |
412200.n |
412200n |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{11} \cdot 3^{22} \cdot 5^{2} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1832$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3244032$ |
$2.059811$ |
$16342754821390/9857699109$ |
$0.94538$ |
$3.70168$ |
$[0, 0, 0, 176685, -5879410]$ |
\(y^2=x^3+176685x-5879410\) |
1832.2.0.? |
$[ ]$ |
| 412200.o1 |
412200o1 |
412200.o |
412200o |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$458$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$518400$ |
$0.975799$ |
$810448/229$ |
$0.68054$ |
$2.73788$ |
$[0, 0, 0, -2775, 40250]$ |
\(y^2=x^3-2775x+40250\) |
458.2.0.? |
$[ ]$ |
| 412200.p1 |
412200p2 |
412200.p |
412200p |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 229^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4580$ |
$12$ |
$0$ |
$5.513605785$ |
$1$ |
|
$9$ |
$497664$ |
$1.126764$ |
$100615028/52441$ |
$0.80852$ |
$2.84458$ |
$[0, 0, 0, -4395, 35350]$ |
\(y^2=x^3-4395x+35350\) |
2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.? |
$[(-25, 360), (1055, 34200)]$ |
| 412200.p2 |
412200p1 |
412200.p |
412200p |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 229 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4580$ |
$12$ |
$0$ |
$5.513605785$ |
$1$ |
|
$9$ |
$248832$ |
$0.780191$ |
$202389392/229$ |
$0.75510$ |
$2.79141$ |
$[0, 0, 0, -3495, 79450]$ |
\(y^2=x^3-3495x+79450\) |
2.3.0.a.1, 20.6.0.c.1, 916.6.0.?, 2290.6.0.?, 4580.12.0.? |
$[(30, 40), (51, 184)]$ |
| 412200.q1 |
412200q2 |
412200.q |
412200q |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{9} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4580$ |
$12$ |
$0$ |
$6.216014874$ |
$1$ |
|
$3$ |
$2488320$ |
$1.931484$ |
$100615028/52441$ |
$0.80852$ |
$3.59146$ |
$[0, 0, 0, -109875, 4418750]$ |
\(y^2=x^3-109875x+4418750\) |
2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.? |
$[(-334, 1964)]$ |
| 412200.q2 |
412200q1 |
412200.q |
412200q |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4580$ |
$12$ |
$0$ |
$3.108007437$ |
$1$ |
|
$5$ |
$1244160$ |
$1.584911$ |
$202389392/229$ |
$0.75510$ |
$3.53829$ |
$[0, 0, 0, -87375, 9931250]$ |
\(y^2=x^3-87375x+9931250\) |
2.3.0.a.1, 20.6.0.c.1, 916.6.0.?, 2290.6.0.?, 4580.12.0.? |
$[(166, 36)]$ |
| 412200.r1 |
412200r2 |
412200.r |
412200r |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{12} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$27480$ |
$12$ |
$0$ |
$9.003105764$ |
$1$ |
|
$1$ |
$2727936$ |
$2.023869$ |
$49727699684406/3578125$ |
$0.99637$ |
$4.03075$ |
$[0, 0, 0, -729675, 239891750]$ |
\(y^2=x^3-729675x+239891750\) |
2.3.0.a.1, 60.6.0.c.1, 5496.6.0.?, 9160.6.0.?, 27480.12.0.? |
$[(8849/2, 777793/2)]$ |
| 412200.r2 |
412200r1 |
412200.r |
412200r |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{9} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$27480$ |
$12$ |
$0$ |
$4.501552882$ |
$1$ |
|
$3$ |
$1363968$ |
$1.677296$ |
$-19895760972/6555125$ |
$0.89060$ |
$3.40687$ |
$[0, 0, 0, -42675, 4250750]$ |
\(y^2=x^3-42675x+4250750\) |
2.3.0.a.1, 30.6.0.a.1, 5496.6.0.?, 9160.6.0.?, 27480.12.0.? |
$[(2155, 99600)]$ |
| 412200.s1 |
412200s2 |
412200.s |
412200s |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{12} \cdot 229 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$27480$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$8183808$ |
$2.573174$ |
$49727699684406/3578125$ |
$0.99637$ |
$4.54058$ |
$[0, 0, 0, -6567075, -6477077250]$ |
\(y^2=x^3-6567075x-6477077250\) |
2.3.0.a.1, 60.6.0.c.1, 5496.6.0.?, 9160.6.0.?, 27480.12.0.? |
$[ ]$ |
| 412200.s2 |
412200s1 |
412200.s |
412200s |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{9} \cdot 229^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$27480$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4091904$ |
$2.226601$ |
$-19895760972/6555125$ |
$0.89060$ |
$3.91670$ |
$[0, 0, 0, -384075, -114770250]$ |
\(y^2=x^3-384075x-114770250\) |
2.3.0.a.1, 30.6.0.a.1, 5496.6.0.?, 9160.6.0.?, 27480.12.0.? |
$[ ]$ |
| 412200.t1 |
412200t1 |
412200.t |
412200t |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{12} \cdot 229^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72990720$ |
$3.611931$ |
$-40512898726157491456/265681431062859375$ |
$1.03969$ |
$5.15739$ |
$[0, 0, 0, -40567575, 349249478375]$ |
\(y^2=x^3-40567575x+349249478375\) |
1374.2.0.? |
$[ ]$ |
| 412200.u1 |
412200u1 |
412200.u |
412200u |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 229 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6870$ |
$2$ |
$0$ |
$0.262560489$ |
$1$ |
|
$8$ |
$559104$ |
$0.967912$ |
$-189637632/1145$ |
$0.75478$ |
$2.90571$ |
$[0, 0, 0, -5700, 166500]$ |
\(y^2=x^3-5700x+166500\) |
6870.2.0.? |
$[(30, 150)]$ |
| 412200.v1 |
412200v1 |
412200.v |
412200v |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{11} \cdot 3^{22} \cdot 5^{8} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1832$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$16220160$ |
$2.864529$ |
$16342754821390/9857699109$ |
$0.94538$ |
$4.44856$ |
$[0, 0, 0, 4417125, -734926250]$ |
\(y^2=x^3+4417125x-734926250\) |
1832.2.0.? |
$[ ]$ |
| 412200.w1 |
412200w1 |
412200.w |
412200w |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6870$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1677312$ |
$1.517218$ |
$-189637632/1145$ |
$0.75478$ |
$3.41553$ |
$[0, 0, 0, -51300, -4495500]$ |
\(y^2=x^3-51300x-4495500\) |
6870.2.0.? |
$[ ]$ |
| 412200.x1 |
412200x2 |
412200.x |
412200x |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4580$ |
$12$ |
$0$ |
$1.411951702$ |
$1$ |
|
$3$ |
$2359296$ |
$1.893244$ |
$177194479824/6555125$ |
$0.92313$ |
$3.68884$ |
$[0, 0, 0, -167175, 25454250]$ |
\(y^2=x^3-167175x+25454250\) |
2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.? |
$[(-135, 6750)]$ |
| 412200.x2 |
412200x1 |
412200.x |
412200x |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{12} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4580$ |
$12$ |
$0$ |
$2.823903404$ |
$1$ |
|
$3$ |
$1179648$ |
$1.546671$ |
$11356637184/3578125$ |
$0.95007$ |
$3.26190$ |
$[0, 0, 0, -26550, -1123875]$ |
\(y^2=x^3-26550x-1123875\) |
2.3.0.a.1, 20.6.0.c.1, 458.6.0.?, 4580.12.0.? |
$[(270, 3375)]$ |
| 412200.y1 |
412200y2 |
412200.y |
412200y |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 229 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$1.849886$ |
$816376477264/463725$ |
$0.83917$ |
$3.80699$ |
$[0, 0, 0, -278175, 56443250]$ |
\(y^2=x^3-278175x+56443250\) |
2.3.0.a.1, 20.6.0.c.1, 458.6.0.?, 4580.12.0.? |
$[ ]$ |
| 412200.y2 |
412200y1 |
412200.y |
412200y |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 229^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.503313$ |
$5266130944/2359845$ |
$0.82382$ |
$3.20246$ |
$[0, 0, 0, -20550, 538625]$ |
\(y^2=x^3-20550x+538625\) |
2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.? |
$[ ]$ |
| 412200.z1 |
412200z1 |
412200.z |
412200z |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 229 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$458$ |
$2$ |
$0$ |
$13.40718352$ |
$1$ |
|
$4$ |
$336000$ |
$0.859747$ |
$24918016/229$ |
$0.76670$ |
$2.78840$ |
$[0, 0, 0, -3450, -77375]$ |
\(y^2=x^3-3450x-77375\) |
458.2.0.? |
$[(-36, 13), (144, 1553)]$ |
| 412200.ba1 |
412200ba1 |
412200.ba |
412200ba |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1832$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$310272$ |
$0.902998$ |
$1796850/229$ |
$0.70994$ |
$2.71134$ |
$[0, 0, 0, -2475, -41850]$ |
\(y^2=x^3-2475x-41850\) |
1832.2.0.? |
$[ ]$ |
| 412200.bb1 |
412200bb1 |
412200.bb |
412200bb |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{9} \cdot 229 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4580$ |
$2$ |
$0$ |
$9.693043676$ |
$1$ |
|
$0$ |
$1032192$ |
$1.471642$ |
$16078716/28625$ |
$0.74577$ |
$3.13269$ |
$[0, 0, 0, 11925, -722250]$ |
\(y^2=x^3+11925x-722250\) |
4580.2.0.? |
$[(224515/9, 106462700/9)]$ |
| 412200.bc1 |
412200bc1 |
412200.bc |
412200bc |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{8} \cdot 3^{15} \cdot 5^{9} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6870$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4976640$ |
$2.184052$ |
$853235323904/563425875$ |
$0.88945$ |
$3.81041$ |
$[0, 0, 0, 282300, -21683500]$ |
\(y^2=x^3+282300x-21683500\) |
6870.2.0.? |
$[ ]$ |
| 412200.bd1 |
412200bd1 |
412200.bd |
412200bd |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{4} \cdot 3^{17} \cdot 5^{8} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8110080$ |
$2.220512$ |
$-781902150202624/1014166575$ |
$0.89997$ |
$4.12366$ |
$[0, 0, 0, -1088175, -437403625]$ |
\(y^2=x^3-1088175x-437403625\) |
1374.2.0.? |
$[ ]$ |
| 412200.be1 |
412200be1 |
412200.be |
412200be |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$458$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1347840$ |
$1.562126$ |
$31665174628/229$ |
$0.86930$ |
$3.66287$ |
$[0, 0, 0, -149475, -22243250]$ |
\(y^2=x^3-149475x-22243250\) |
458.2.0.? |
$[ ]$ |
| 412200.bf1 |
412200bf1 |
412200.bf |
412200bf |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{12} \cdot 229 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1374$ |
$2$ |
$0$ |
$4.571415713$ |
$1$ |
|
$2$ |
$2211840$ |
$1.796259$ |
$91625216/96609375$ |
$0.90574$ |
$3.46974$ |
$[0, 0, 0, 5325, 6382375]$ |
\(y^2=x^3+5325x+6382375\) |
1374.2.0.? |
$[(251, 4851)]$ |
| 412200.bg1 |
412200bg3 |
412200.bg |
412200bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{14} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.16 |
2B |
$54960$ |
$192$ |
$3$ |
$11.87958607$ |
$1$ |
|
$1$ |
$31457280$ |
$2.881409$ |
$1112808378332164/586901953125$ |
$0.94114$ |
$4.47245$ |
$[0, 0, 0, -4896075, -1241482250]$ |
\(y^2=x^3-4896075x-1241482250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.4, 60.12.0-4.c.1.1, $\ldots$ |
$[(-14279890/83, 538475850/83)]$ |
| 412200.bg2 |
412200bg2 |
412200.bg |
412200bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{10} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.33 |
2Cs |
$27480$ |
$192$ |
$3$ |
$23.75917215$ |
$1$ |
|
$3$ |
$15728640$ |
$2.534836$ |
$2190677784534736/2654825625$ |
$0.90520$ |
$4.41761$ |
$[0, 0, 0, -3865575, -2922227750]$ |
\(y^2=x^3-3865575x-2922227750\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.3, 60.24.0-4.a.1.1, 120.48.0.?, $\ldots$ |
$[(630082974459/187, 500145786468913648/187)]$ |
| 412200.bg3 |
412200bg1 |
412200.bg |
412200bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.16 |
2B |
$54960$ |
$192$ |
$3$ |
$11.87958607$ |
$1$ |
|
$1$ |
$7864320$ |
$2.188263$ |
$35020250869651456/51525$ |
$0.94372$ |
$4.41754$ |
$[0, 0, 0, -3864450, -2924015375]$ |
\(y^2=x^3-3864450x-2924015375\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.4, 60.12.0-4.c.1.2, $\ldots$ |
$[(7903880/59, 561070125/59)]$ |
| 412200.bg4 |
412200bg4 |
412200.bg |
412200bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 229^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.9 |
2B |
$54960$ |
$192$ |
$3$ |
$11.87958607$ |
$1$ |
|
$3$ |
$31457280$ |
$2.881409$ |
$-220199214811684/618763158225$ |
$0.92579$ |
$4.48384$ |
$[0, 0, 0, -2853075, -4488565250]$ |
\(y^2=x^3-2853075x-4488565250\) |
2.3.0.a.1, 4.24.0-4.d.1.2, 60.48.0-60.h.1.1, 1832.48.0.?, 3664.96.0.?, $\ldots$ |
$[(72073319, 611873694828)]$ |
| 412200.bh1 |
412200bh3 |
412200.bh |
412200bh |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{9} \cdot 229^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$27480$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$125632512$ |
$3.671326$ |
$815033818893409512484/250599079081125$ |
$0.97823$ |
$5.51691$ |
$[0, 0, 0, -441333075, 3567651502750]$ |
\(y^2=x^3-441333075x+3567651502750\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.1, 20.12.0.g.1, $\ldots$ |
$[ ]$ |
| 412200.bh2 |
412200bh2 |
412200.bh |
412200bh |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{8} \cdot 3^{18} \cdot 5^{12} \cdot 229^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$13740$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$62816256$ |
$3.324749$ |
$1159695024024409936/435457773140625$ |
$1.00270$ |
$4.90269$ |
$[0, 0, 0, -31270575, 39883815250]$ |
\(y^2=x^3-31270575x+39883815250\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 60.24.0-20.b.1.2, 916.12.0.?, $\ldots$ |
$[ ]$ |
| 412200.bh3 |
412200bh1 |
412200.bh |
412200bh |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{18} \cdot 229 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$27480$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$31408128$ |
$2.978176$ |
$1557756837810558976/40757080078125$ |
$0.96501$ |
$4.71107$ |
$[0, 0, 0, -13692450, -19055637875]$ |
\(y^2=x^3-13692450x-19055637875\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.z.1, 60.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |