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 |
306850.a1 |
306850a1 |
306850.a |
306850a |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{10} \cdot 17 \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6289920$ |
$1.963743$ |
$84375/272$ |
$1.04213$ |
$3.69030$ |
$[1, -1, 0, 70508, -15423584]$ |
\(y^2+xy=x^3-x^2+70508x-15423584\) |
68.2.0.a.1 |
$[]$ |
306850.b1 |
306850b1 |
306850.b |
306850b |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{12} \cdot 5^{2} \cdot 17 \cdot 19^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$0.895106571$ |
$1$ |
|
$10$ |
$653184$ |
$1.089409$ |
$57498298465/69632$ |
$0.90671$ |
$3.14796$ |
$[1, 0, 1, -11921, 499428]$ |
\(y^2+xy+y=x^3-11921x+499428\) |
34.2.0.a.1 |
$[(11, 602), (106, 602)]$ |
306850.c1 |
306850c2 |
306850.c |
306850c |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{6} \cdot 5^{2} \cdot 17^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9690$ |
$16$ |
$0$ |
$0.261018153$ |
$1$ |
|
$8$ |
$248832$ |
$0.547283$ |
$2857621945/314432$ |
$0.84721$ |
$2.44426$ |
$[1, 0, 1, -616, 5238]$ |
\(y^2+xy+y=x^3-616x+5238\) |
3.4.0.a.1, 34.2.0.a.1, 102.8.0.?, 285.8.0.?, 9690.16.0.? |
$[(1, 67)]$ |
306850.c2 |
306850c1 |
306850.c |
306850c |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9690$ |
$16$ |
$0$ |
$0.783054461$ |
$1$ |
|
$4$ |
$82944$ |
$-0.002023$ |
$34001545/68$ |
$0.78432$ |
$2.09351$ |
$[1, 0, 1, -141, -652]$ |
\(y^2+xy+y=x^3-141x-652\) |
3.4.0.a.1, 34.2.0.a.1, 102.8.0.?, 285.8.0.?, 9690.16.0.? |
$[(-7, 4)]$ |
306850.d1 |
306850d2 |
306850.d |
306850d |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{12} \cdot 5^{10} \cdot 17 \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9690$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4354560$ |
$2.011208$ |
$33876280148425/69632$ |
$0.94160$ |
$4.20583$ |
$[1, 0, 1, -1025951, 399893298]$ |
\(y^2+xy+y=x^3-1025951x+399893298\) |
3.4.0.a.1, 34.2.0.a.1, 102.8.0.?, 285.8.0.?, 9690.16.0.? |
$[]$ |
306850.d2 |
306850d1 |
306850.d |
306850d |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{4} \cdot 5^{10} \cdot 17^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9690$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$1.461903$ |
$142862425/78608$ |
$0.88297$ |
$3.22624$ |
$[1, 0, 1, -16576, 180798]$ |
\(y^2+xy+y=x^3-16576x+180798\) |
3.4.0.a.1, 34.2.0.a.1, 102.8.0.?, 285.8.0.?, 9690.16.0.? |
$[]$ |
306850.e1 |
306850e1 |
306850.e |
306850e |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{8} \cdot 17 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$0.947301221$ |
$1$ |
|
$4$ |
$4432320$ |
$2.140850$ |
$1155865/68$ |
$0.72556$ |
$3.98852$ |
$[1, 0, 1, -410826, -96096952]$ |
\(y^2+xy+y=x^3-410826x-96096952\) |
34.2.0.a.1 |
$[(752, 4136)]$ |
306850.f1 |
306850f3 |
306850.f |
306850f |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{24} \cdot 5^{12} \cdot 17 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$38760$ |
$384$ |
$9$ |
$1$ |
$4$ |
$2$ |
$1$ |
$69672960$ |
$3.394417$ |
$8010684753304969/4456448000000$ |
$1.04256$ |
$5.06112$ |
$[1, 0, 1, -37620901, 17467058448]$ |
\(y^2+xy+y=x^3-37620901x+17467058448\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[]$ |
306850.f2 |
306850f1 |
306850.f |
306850f |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{8} \cdot 17^{3} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$38760$ |
$384$ |
$9$ |
$1$ |
$4$ |
$2$ |
$1$ |
$23224320$ |
$2.845108$ |
$1841373668746009/31443200$ |
$0.98941$ |
$4.94475$ |
$[1, 0, 1, -23045526, -42583486552]$ |
\(y^2+xy+y=x^3-23045526x-42583486552\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[]$ |
306850.f3 |
306850f2 |
306850.f |
306850f |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{10} \cdot 17^{6} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$38760$ |
$384$ |
$9$ |
$1$ |
$4$ |
$2$ |
$0$ |
$46448640$ |
$3.191681$ |
$-1673672305534489/241375690000$ |
$0.99210$ |
$4.95480$ |
$[1, 0, 1, -22323526, -45376182552]$ |
\(y^2+xy+y=x^3-22323526x-45376182552\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[]$ |
306850.f4 |
306850f4 |
306850.f |
306850f |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{12} \cdot 5^{18} \cdot 17^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$38760$ |
$384$ |
$9$ |
$1$ |
$4$ |
$2$ |
$0$ |
$139345920$ |
$3.740990$ |
$479958568556831351/289000000000000$ |
$1.05690$ |
$5.38508$ |
$[1, 0, 1, 147211099, 138347186448]$ |
\(y^2+xy+y=x^3+147211099x+138347186448\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[]$ |
306850.g1 |
306850g1 |
306850.g |
306850g |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{7} \cdot 5^{6} \cdot 17^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$74.14068093$ |
$1$ |
|
$0$ |
$12065760$ |
$2.671741$ |
$-30508741009/628864$ |
$0.90469$ |
$4.54234$ |
$[1, 0, 1, -4183276, -3351721302]$ |
\(y^2+xy+y=x^3-4183276x-3351721302\) |
136.2.0.? |
$[(156984244715735389435902029466172/30475000793507, 1964372964061258153686037994342637786746305645271/30475000793507)]$ |
306850.h1 |
306850h2 |
306850.h |
306850h |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{6} \cdot 5^{8} \cdot 17^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$102$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23639040$ |
$2.824223$ |
$2857621945/314432$ |
$0.84721$ |
$4.60691$ |
$[1, 0, 1, -5555076, -4535584702]$ |
\(y^2+xy+y=x^3-5555076x-4535584702\) |
3.8.0-3.a.1.1, 34.2.0.a.1, 102.16.0.? |
$[]$ |
306850.h2 |
306850h1 |
306850.h |
306850h |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{8} \cdot 17 \cdot 19^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$102$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7879680$ |
$2.274914$ |
$34001545/68$ |
$0.78432$ |
$4.25617$ |
$[1, 0, 1, -1268201, 548649048]$ |
\(y^2+xy+y=x^3-1268201x+548649048\) |
3.8.0-3.a.1.2, 34.2.0.a.1, 102.16.0.? |
$[]$ |
306850.i1 |
306850i1 |
306850.i |
306850i |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{4} \cdot 5^{8} \cdot 17 \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$12920$ |
$48$ |
$0$ |
$6.231952614$ |
$1$ |
|
$11$ |
$2322432$ |
$1.737648$ |
$47045881/6800$ |
$0.98870$ |
$3.56099$ |
$[1, 0, 1, -67876, -5901102]$ |
\(y^2+xy+y=x^3-67876x-5901102\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 68.12.0.e.1, 340.24.0.?, $\ldots$ |
$[(-179, 811), (297, 251)]$ |
306850.i2 |
306850i2 |
306850.i |
306850i |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{2} \cdot 5^{10} \cdot 17^{2} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$12920$ |
$48$ |
$0$ |
$6.231952614$ |
$1$ |
|
$12$ |
$4644864$ |
$2.084221$ |
$214921799/722500$ |
$0.91035$ |
$3.80553$ |
$[1, 0, 1, 112624, -31893102]$ |
\(y^2+xy+y=x^3+112624x-31893102\) |
2.3.0.a.1, 4.6.0.a.1, 68.12.0.d.1, 380.12.0.?, 680.24.0.?, $\ldots$ |
$[(737, 20881), (296, 5086)]$ |
306850.j1 |
306850j2 |
306850.j |
306850j |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{12} \cdot 5^{4} \cdot 17 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$102$ |
$16$ |
$0$ |
$10.16018673$ |
$1$ |
|
$0$ |
$16547328$ |
$2.678711$ |
$33876280148425/69632$ |
$0.94160$ |
$4.83983$ |
$[1, 0, 1, -14814726, -21948870952]$ |
\(y^2+xy+y=x^3-14814726x-21948870952\) |
3.8.0-3.a.1.1, 34.2.0.a.1, 102.16.0.? |
$[(-319811/12, 1638751/12)]$ |
306850.j2 |
306850j1 |
306850.j |
306850j |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{4} \cdot 5^{4} \cdot 17^{3} \cdot 19^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$102$ |
$16$ |
$0$ |
$3.386728912$ |
$1$ |
|
$4$ |
$5515776$ |
$2.129402$ |
$142862425/78608$ |
$0.88297$ |
$3.86024$ |
$[1, 0, 1, -239351, -10016502]$ |
\(y^2+xy+y=x^3-239351x-10016502\) |
3.8.0-3.a.1.2, 34.2.0.a.1, 102.16.0.? |
$[(-268, 6041)]$ |
306850.k1 |
306850k1 |
306850.k |
306850k |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$1.451300526$ |
$1$ |
|
$10$ |
$46656$ |
$-0.136088$ |
$1155865/68$ |
$0.72556$ |
$1.82586$ |
$[1, 0, 1, -46, 108]$ |
\(y^2+xy+y=x^3-46x+108\) |
34.2.0.a.1 |
$[(3, -1), (1, 7)]$ |
306850.l1 |
306850l1 |
306850.l |
306850l |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{12} \cdot 5^{8} \cdot 17 \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$44.82960285$ |
$1$ |
|
$0$ |
$62052480$ |
$3.366348$ |
$57498298465/69632$ |
$0.90671$ |
$5.31061$ |
$[1, 0, 1, -107582701, -429057956952]$ |
\(y^2+xy+y=x^3-107582701x-429057956952\) |
34.2.0.a.1 |
$[(27856039083074073562/16373033, 146030496571443050409953977823/16373033)]$ |
306850.m1 |
306850m1 |
306850.m |
306850m |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{2} \cdot 5^{8} \cdot 17 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$2.901207274$ |
$1$ |
|
$4$ |
$6566400$ |
$2.069305$ |
$3767855/24548$ |
$0.78320$ |
$3.80020$ |
$[1, 1, 0, 85550, -30811000]$ |
\(y^2+xy=x^3+x^2+85550x-30811000\) |
68.2.0.a.1 |
$[(226, 248)]$ |
306850.n1 |
306850n1 |
306850.n |
306850n |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{5} \cdot 5^{9} \cdot 17 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12920$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1200000$ |
$1.520039$ |
$-7610498063/544$ |
$0.87976$ |
$3.64657$ |
$[1, 1, 0, -97325, -11727875]$ |
\(y^2+xy=x^3+x^2-97325x-11727875\) |
12920.2.0.? |
$[]$ |
306850.o1 |
306850o1 |
306850.o |
306850o |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{12} \cdot 17^{6} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$3.392276436$ |
$1$ |
|
$2$ |
$137106432$ |
$3.842133$ |
$-50927708432449/3017196125000$ |
$0.98322$ |
$5.49401$ |
$[1, 1, 0, -49624150, 1368007749500]$ |
\(y^2+xy=x^3+x^2-49624150x+1368007749500\) |
3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.2, 24.8.0.a.1, 120.16.0.? |
$[(521795, 376627615)]$ |
306850.o2 |
306850o2 |
306850.o |
306850o |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2 \cdot 5^{24} \cdot 17^{2} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$10.17682931$ |
$1$ |
|
$2$ |
$411319296$ |
$4.391434$ |
$36957286372120991/2204895019531250$ |
$1.01143$ |
$6.01440$ |
$[1, 1, 0, 445938600, -36623319353750]$ |
\(y^2+xy=x^3+x^2+445938600x-36623319353750\) |
3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.1, 24.8.0.a.1, 120.16.0.? |
$[(521625, 376736075)]$ |
306850.p1 |
306850p1 |
306850.p |
306850p |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2 \cdot 5^{6} \cdot 17^{2} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3502080$ |
$2.037617$ |
$-5714497/578$ |
$0.80064$ |
$3.87299$ |
$[1, 1, 0, -239350, -48951250]$ |
\(y^2+xy=x^3+x^2-239350x-48951250\) |
8.2.0.a.1 |
$[]$ |
306850.q1 |
306850q1 |
306850.q |
306850q |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{5} \cdot 5^{3} \cdot 17 \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12920$ |
$2$ |
$0$ |
$4.115030571$ |
$1$ |
|
$0$ |
$4560000$ |
$2.187538$ |
$-7610498063/544$ |
$0.87976$ |
$4.28057$ |
$[1, 1, 0, -1405380, 640721200]$ |
\(y^2+xy=x^3+x^2-1405380x+640721200\) |
12920.2.0.? |
$[(17829/5, 123473/5)]$ |
306850.r1 |
306850r1 |
306850.r |
306850r |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{26} \cdot 5^{8} \cdot 17 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$224078400$ |
$3.989128$ |
$304828451519675625/1140850688$ |
$1.04990$ |
$6.07004$ |
$[1, -1, 0, -2634552617, -52047698305459]$ |
\(y^2+xy=x^3-x^2-2634552617x-52047698305459\) |
34.2.0.a.1 |
$[]$ |
306850.s1 |
306850s1 |
306850.s |
306850s |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{6} \cdot 17 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$2.863857989$ |
$1$ |
|
$2$ |
$151200$ |
$0.392897$ |
$175959/136$ |
$0.95336$ |
$2.18642$ |
$[1, -1, 0, 208, 616]$ |
\(y^2+xy=x^3-x^2+208x+616\) |
136.2.0.? |
$[(3, 34)]$ |
306850.t1 |
306850t1 |
306850.t |
306850t |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{22} \cdot 5^{4} \cdot 17 \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36115200$ |
$3.208344$ |
$298512353025/71303168$ |
$1.08556$ |
$4.93143$ |
$[1, -1, 0, -21788042, -29992105484]$ |
\(y^2+xy=x^3-x^2-21788042x-29992105484\) |
34.2.0.a.1 |
$[]$ |
306850.u1 |
306850u1 |
306850.u |
306850u |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{2} \cdot 17^{7} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$35.58919180$ |
$1$ |
|
$0$ |
$35852544$ |
$3.047348$ |
$21283385568710625/1641354692$ |
$1.03981$ |
$5.09502$ |
$[1, -1, 0, -43393892, -110006730244]$ |
\(y^2+xy=x^3-x^2-43393892x-110006730244\) |
34.2.0.a.1 |
$[(-14241258888510295/1939519, -733882430892423173536/1939519)]$ |
306850.v1 |
306850v1 |
306850.v |
306850v |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{21} \cdot 5^{9} \cdot 17^{2} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$74692800$ |
$3.600433$ |
$-7207577665461/606076928$ |
$1.11611$ |
$5.36502$ |
$[1, -1, 0, -129302867, -605616704459]$ |
\(y^2+xy=x^3-x^2-129302867x-605616704459\) |
40.2.0.a.1 |
$[]$ |
306850.w1 |
306850w1 |
306850.w |
306850w |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{4} \cdot 5^{4} \cdot 17^{3} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$0.374661051$ |
$1$ |
|
$16$ |
$259200$ |
$0.706561$ |
$883911825/78608$ |
$0.87336$ |
$2.60616$ |
$[1, -1, 0, -1217, 15341]$ |
\(y^2+xy=x^3-x^2-1217x+15341\) |
34.2.0.a.1 |
$[(-26, 183), (25, -4)]$ |
306850.x1 |
306850x1 |
306850.x |
306850x |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$1.284390766$ |
$1$ |
|
$2$ |
$51840$ |
$-0.078418$ |
$5635305/68$ |
$0.81058$ |
$1.95125$ |
$[1, -1, 0, -77, -239]$ |
\(y^2+xy=x^3-x^2-77x-239\) |
34.2.0.a.1 |
$[(-5, 4)]$ |
306850.y1 |
306850y1 |
306850.y |
306850y |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{20} \cdot 5^{8} \cdot 17 \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1296000$ |
$1.644512$ |
$30803056785/17825792$ |
$1.22601$ |
$3.39678$ |
$[1, -1, 0, -33992, 4416]$ |
\(y^2+xy=x^3-x^2-33992x+4416\) |
34.2.0.a.1 |
$[]$ |
306850.z1 |
306850z2 |
306850.z |
306850z |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{4} \cdot 5^{10} \cdot 17^{2} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1292$ |
$12$ |
$0$ |
$2.456638080$ |
$1$ |
|
$4$ |
$13271040$ |
$2.789185$ |
$479111271672249/54910000$ |
$0.95769$ |
$4.83819$ |
$[1, -1, 0, -14712442, 21722299716]$ |
\(y^2+xy=x^3-x^2-14712442x+21722299716\) |
2.3.0.a.1, 68.6.0.c.1, 76.6.0.?, 1292.12.0.? |
$[(2264, 2618)]$ |
306850.z2 |
306850z1 |
306850.z |
306850z |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{8} \cdot 17 \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1292$ |
$12$ |
$0$ |
$4.913276161$ |
$1$ |
|
$3$ |
$6635520$ |
$2.442612$ |
$147951952569/39276800$ |
$0.86544$ |
$4.19843$ |
$[1, -1, 0, -994442, 281065716]$ |
\(y^2+xy=x^3-x^2-994442x+281065716\) |
2.3.0.a.1, 34.6.0.a.1, 76.6.0.?, 1292.12.0.? |
$[(2484, 113358)]$ |
306850.ba1 |
306850ba1 |
306850.ba |
306850ba |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{4} \cdot 5^{10} \cdot 17^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$8.436816705$ |
$1$ |
|
$2$ |
$24624000$ |
$2.983501$ |
$883911825/78608$ |
$0.87336$ |
$4.76882$ |
$[1, -1, 0, -10985117, -12889360459]$ |
\(y^2+xy=x^3-x^2-10985117x-12889360459\) |
34.2.0.a.1 |
$[(232033, 111642183)]$ |
306850.bb1 |
306850bb1 |
306850.bb |
306850bb |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{8} \cdot 17 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4924800$ |
$2.198521$ |
$5635305/68$ |
$0.81058$ |
$4.11391$ |
$[1, -1, 0, -696617, 221618041]$ |
\(y^2+xy=x^3-x^2-696617x+221618041\) |
34.2.0.a.1 |
$[]$ |
306850.bc1 |
306850bc1 |
306850.bc |
306850bc |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{20} \cdot 5^{2} \cdot 17 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$13.31791946$ |
$1$ |
|
$0$ |
$4924800$ |
$2.312012$ |
$30803056785/17825792$ |
$1.22601$ |
$4.03077$ |
$[1, -1, 0, -490847, 346701]$ |
\(y^2+xy=x^3-x^2-490847x+346701\) |
34.2.0.a.1 |
$[(-13274162/141, 16312955333/141)]$ |
306850.bd1 |
306850bd1 |
306850.bd |
306850bd |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{6} \cdot 5^{6} \cdot 17 \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$6.136737311$ |
$1$ |
|
$1$ |
$5529600$ |
$2.242252$ |
$216973458729/392768$ |
$0.97816$ |
$4.22873$ |
$[1, -1, 0, -1129817, 461791341]$ |
\(y^2+xy=x^3-x^2-1129817x+461791341\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(68663/11, 1985279/11)]$ |
306850.bd2 |
306850bd2 |
306850.bd |
306850bd |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{6} \cdot 17^{2} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$12.27347462$ |
$1$ |
|
$0$ |
$11059200$ |
$2.588825$ |
$-68367756969/301302152$ |
$1.06591$ |
$4.30778$ |
$[1, -1, 0, -768817, 761782341]$ |
\(y^2+xy=x^3-x^2-768817x+761782341\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(-1162279/53, 4759672756/53)]$ |
306850.be1 |
306850be1 |
306850.be |
306850be |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{21} \cdot 5^{3} \cdot 17^{2} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$786240$ |
$1.323494$ |
$-7207577665461/606076928$ |
$1.11611$ |
$3.20236$ |
$[1, -1, 0, -14327, 709981]$ |
\(y^2+xy=x^3-x^2-14327x+709981\) |
40.2.0.a.1 |
$[]$ |
306850.bf1 |
306850bf1 |
306850.bf |
306850bf |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{26} \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$3.448239716$ |
$1$ |
|
$2$ |
$2358720$ |
$1.712191$ |
$304828451519675625/1140850688$ |
$1.04990$ |
$3.90738$ |
$[1, -1, 0, -291917, 60779621]$ |
\(y^2+xy=x^3-x^2-291917x+60779621\) |
34.2.0.a.1 |
$[(313, -136)]$ |
306850.bg1 |
306850bg1 |
306850.bg |
306850bg |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{22} \cdot 5^{10} \cdot 17 \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$5.649221710$ |
$1$ |
|
$2$ |
$9504000$ |
$2.540840$ |
$298512353025/71303168$ |
$1.08556$ |
$4.29743$ |
$[1, -1, 0, -1508867, 547059541]$ |
\(y^2+xy=x^3-x^2-1508867x+547059541\) |
34.2.0.a.1 |
$[(-1325, 15454)]$ |
306850.bh1 |
306850bh1 |
306850.bh |
306850bh |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{8} \cdot 17^{7} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$34$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9434880$ |
$2.379848$ |
$21283385568710625/1641354692$ |
$1.03981$ |
$4.46102$ |
$[1, -1, 0, -3005117, 2005737041]$ |
\(y^2+xy=x^3-x^2-3005117x+2005737041\) |
34.2.0.a.1 |
$[]$ |
306850.bi1 |
306850bi2 |
306850.bi |
306850bi |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{8} \cdot 17^{2} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$890880$ |
$1.167982$ |
$827936019/28900$ |
$0.89345$ |
$3.08881$ |
$[1, -1, 0, -9292, -331884]$ |
\(y^2+xy=x^3-x^2-9292x-331884\) |
2.3.0.a.1, 76.6.0.?, 340.6.0.?, 6460.12.0.? |
$[]$ |
306850.bi2 |
306850bi1 |
306850.bi |
306850bi |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{7} \cdot 17 \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6460$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$445440$ |
$0.821409$ |
$9261/1360$ |
$0.83085$ |
$2.62432$ |
$[1, -1, 0, 208, -18384]$ |
\(y^2+xy=x^3-x^2+208x-18384\) |
2.3.0.a.1, 76.6.0.?, 340.6.0.?, 3230.6.0.?, 6460.12.0.? |
$[]$ |
306850.bj1 |
306850bj1 |
306850.bj |
306850bj |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{23} \cdot 5^{3} \cdot 17 \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12920$ |
$2$ |
$0$ |
$10.47415229$ |
$1$ |
|
$0$ |
$21535360$ |
$2.860382$ |
$86175179713/142606336$ |
$0.93031$ |
$4.52175$ |
$[1, 0, 1, 3155854, 2942851588]$ |
\(y^2+xy+y=x^3+3155854x+2942851588\) |
12920.2.0.? |
$[(68728/3, 18453937/3)]$ |
306850.bk1 |
306850bk1 |
306850.bk |
306850bk |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{5} \cdot 5^{8} \cdot 17^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$41.06559356$ |
$1$ |
|
$0$ |
$10782720$ |
$2.687347$ |
$-2856825358594046013529/231200$ |
$1.00074$ |
$5.14080$ |
$[1, 0, 1, -52621401, -146928038052]$ |
\(y^2+xy+y=x^3-52621401x-146928038052\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 285.8.0.?, 2280.16.0.? |
$[(13005015214170957702/16057691, 46280239007971989675443026386/16057691)]$ |
306850.bk2 |
306850bk2 |
306850.bk |
306850bk |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{15} \cdot 5^{12} \cdot 17^{6} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$13.68853118$ |
$1$ |
|
$0$ |
$32348160$ |
$3.236652$ |
$-2847937787543324889289/12358435328000000$ |
$1.00081$ |
$5.14115$ |
$[1, 0, 1, -52566776, -147248287802]$ |
\(y^2+xy+y=x^3-52566776x-147248287802\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 285.8.0.?, 2280.16.0.? |
$[(37433308/47, 202258363863/47)]$ |