| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 277350.a1 |
277350a1 |
277350.a |
277350a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{9} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$71084160$ |
$3.277870$ |
$10397587781/192$ |
$0.94821$ |
$5.39689$ |
$1$ |
$[1, 1, 0, -128991825, 563823367125]$ |
\(y^2+xy=x^3+x^2-128991825x+563823367125\) |
60.2.0.a.1 |
$[ ]$ |
$1$ |
| 277350.b1 |
277350b1 |
277350.b |
277350b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{3} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$1.451219973$ |
$1$ |
|
$4$ |
$330624$ |
$0.592551$ |
$10397587781/192$ |
$0.94821$ |
$2.82578$ |
$1$ |
$[1, 1, 0, -2790, -57900]$ |
\(y^2+xy=x^3+x^2-2790x-57900\) |
60.2.0.a.1 |
$[(-31, 16)]$ |
$1$ |
| 277350.c1 |
277350c1 |
277350.c |
277350c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{2} \cdot 5^{3} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$0.328673782$ |
$1$ |
|
$6$ |
$1774080$ |
$1.527929$ |
$-456533/774$ |
$0.80440$ |
$3.33482$ |
$1$ |
$[1, 1, 0, -14830, 1371850]$ |
\(y^2+xy=x^3+x^2-14830x+1371850\) |
1720.2.0.? |
$[(211, 2668)]$ |
$1$ |
| 277350.d1 |
277350d1 |
277350.d |
277350d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{6} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6209280$ |
$2.119148$ |
$1685159/8256$ |
$0.89017$ |
$3.87548$ |
$1$ |
$[1, 1, 0, 114600, 40848000]$ |
\(y^2+xy=x^3+x^2+114600x+40848000\) |
516.2.0.? |
$[ ]$ |
$1$ |
| 277350.e1 |
277350e2 |
277350.e |
277350e |
$2$ |
$13$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{26} \cdot 5^{6} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$22360$ |
$336$ |
$9$ |
$96.02698389$ |
$1$ |
|
$0$ |
$586010880$ |
$4.478989$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$6.22431$ |
$1$ |
$[1, 1, 0, -3778363125, -100700446073625]$ |
\(y^2+xy=x^3+x^2-3778363125x-100700446073625\) |
8.2.0.a.1, 13.28.0.a.2, 65.56.0-13.a.2.1, 104.56.1.?, 520.112.1.?, $\ldots$ |
$[(3016864996273808765226644786435268628837290585/69765241863286715119, 164747217721372405827208990503148714279595313908104868910764669646780/69765241863286715119)]$ |
$1$ |
| 277350.e2 |
277350e1 |
277350.e |
277350e |
$2$ |
$13$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 5^{6} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$22360$ |
$336$ |
$9$ |
$7.386691069$ |
$1$ |
|
$2$ |
$45077760$ |
$3.196510$ |
$-140246460241/73728$ |
$0.99918$ |
$5.21931$ |
$1$ |
$[1, 1, 0, -61410875, 185290540125]$ |
\(y^2+xy=x^3+x^2-61410875x+185290540125\) |
8.2.0.a.1, 13.28.0.a.1, 65.56.0-13.a.1.1, 104.56.1.?, 520.112.1.?, $\ldots$ |
$[(15335, 1680545)]$ |
$1$ |
| 277350.f1 |
277350f1 |
277350.f |
277350f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{2} \cdot 5^{6} \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.282082356$ |
$1$ |
|
$10$ |
$172032$ |
$0.427193$ |
$-294937/18$ |
$0.85517$ |
$2.38360$ |
$1$ |
$[1, 1, 0, -425, 3375]$ |
\(y^2+xy=x^3+x^2-425x+3375\) |
8.2.0.a.1 |
$[(5, 35), (11, 8)]$ |
$1$ |
| 277350.g1 |
277350g1 |
277350.g |
277350g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{11} \cdot 43^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$3.522344626$ |
$1$ |
|
$2$ |
$3810240$ |
$2.021667$ |
$-126504750721/675000$ |
$0.98499$ |
$4.01133$ |
$1$ |
$[1, 1, 0, -393875, -95746875]$ |
\(y^2+xy=x^3+x^2-393875x-95746875\) |
120.2.0.? |
$[(15175, 1860225)]$ |
$1$ |
| 277350.h1 |
277350h1 |
277350.h |
277350h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{4} \cdot 5^{10} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.058386279$ |
$1$ |
|
$2$ |
$22192128$ |
$2.953220$ |
$6401711/101250$ |
$0.92118$ |
$4.68275$ |
$1$ |
$[1, 1, 0, 2194725, -6420713625]$ |
\(y^2+xy=x^3+x^2+2194725x-6420713625\) |
8.2.0.a.1 |
$[(46995, 10169115)]$ |
$1$ |
| 277350.i1 |
277350i1 |
277350.i |
277350i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{11} \cdot 3^{13} \cdot 5^{3} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$4.464172225$ |
$1$ |
|
$2$ |
$1441440$ |
$1.537580$ |
$-404513626133/3265173504$ |
$1.02446$ |
$3.33369$ |
$1$ |
$[1, 1, 0, -9455, 1364325]$ |
\(y^2+xy=x^3+x^2-9455x+1364325\) |
120.2.0.? |
$[(-65, 1340)]$ |
$1$ |
| 277350.j1 |
277350j1 |
277350.j |
277350j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{11} \cdot 3^{13} \cdot 5^{9} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$309909600$ |
$4.222900$ |
$-404513626133/3265173504$ |
$1.02446$ |
$5.90480$ |
$1$ |
$[1, 1, 0, -437081450, -13598510083500]$ |
\(y^2+xy=x^3+x^2-437081450x-13598510083500\) |
120.2.0.? |
$[ ]$ |
$1$ |
| 277350.k1 |
277350k1 |
277350.k |
277350k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$2.497647878$ |
$1$ |
|
$2$ |
$60318720$ |
$3.533512$ |
$-9137635610327905/1128492$ |
$0.98656$ |
$5.76029$ |
$1$ |
$[1, 1, 0, -588699450, 5497550514000]$ |
\(y^2+xy=x^3+x^2-588699450x+5497550514000\) |
86.2.0.? |
$[(26226, 2832498)]$ |
$1$ |
| 277350.l1 |
277350l2 |
277350.l |
277350l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{7} \cdot 3^{2} \cdot 5^{9} \cdot 43^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$28.18321899$ |
$1$ |
|
$0$ |
$99348480$ |
$3.645630$ |
$20170293914861/3938458752$ |
$0.96698$ |
$5.40072$ |
$1$ |
$[1, 1, 0, -131071950, -470203303500]$ |
\(y^2+xy=x^3+x^2-131071950x-470203303500\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[(101659654757001/66053, 867262312948719573627/66053)]$ |
$1$ |
| 277350.l2 |
277350l1 |
277350.l |
277350l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{14} \cdot 3 \cdot 5^{9} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$56.36643798$ |
$1$ |
|
$1$ |
$49674240$ |
$3.299057$ |
$42838260499/90882048$ |
$0.94610$ |
$4.98789$ |
$1$ |
$[1, 1, 0, 16848050, -43454103500]$ |
\(y^2+xy=x^3+x^2+16848050x-43454103500\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[(82454852518848128170012789/127223428293, 855228370574245014359669772522392957756/127223428293)]$ |
$1$ |
| 277350.m1 |
277350m1 |
277350.m |
277350m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$2.259389469$ |
$1$ |
|
$2$ |
$37449216$ |
$3.104019$ |
$974603041/552960$ |
$0.97675$ |
$4.82276$ |
$1$ |
$[1, 1, 0, -11719000, 2156104000]$ |
\(y^2+xy=x^3+x^2-11719000x+2156104000\) |
60.2.0.a.1 |
$[(56240, 13284680)]$ |
$1$ |
| 277350.n1 |
277350n2 |
277350.n |
277350n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{17} \cdot 3^{8} \cdot 5^{9} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1720$ |
$12$ |
$0$ |
$119.8989852$ |
$1$ |
|
$0$ |
$965099520$ |
$4.914131$ |
$37767168555963845320349/1590072311808$ |
$1.08147$ |
$7.10425$ |
$1$ |
$[1, 1, 0, -161551314325, -24992805586857875]$ |
\(y^2+xy=x^3+x^2-161551314325x-24992805586857875\) |
2.3.0.a.1, 40.6.0.b.1, 344.6.0.?, 860.6.0.?, 1720.12.0.? |
$[(24221200937572951932625499849197753025590762541506737721/4954114920277664119460977, 107099838472569938050133712819731106451264910338184059144229982700141728934614919558/4954114920277664119460977)]$ |
$1$ |
| 277350.n2 |
277350n1 |
277350.n |
277350n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{34} \cdot 3^{4} \cdot 5^{9} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1720$ |
$12$ |
$0$ |
$59.94949263$ |
$1$ |
|
$1$ |
$482549760$ |
$4.567558$ |
$-9177493130077937309/59837484367872$ |
$1.06161$ |
$6.44111$ |
$1$ |
$[1, 1, 0, -10081234325, -391792543657875]$ |
\(y^2+xy=x^3+x^2-10081234325x-391792543657875\) |
2.3.0.a.1, 40.6.0.c.1, 344.6.0.?, 430.6.0.?, 1720.12.0.? |
$[(377930922372981644518459581185/630539178541, 230865154775503757024612787202472510621474270/630539178541)]$ |
$1$ |
| 277350.o1 |
277350o2 |
277350.o |
277350o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{8} \cdot 43^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$14.95657318$ |
$1$ |
|
$6$ |
$21288960$ |
$2.937641$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.98890$ |
$1$ |
$[1, 1, 0, -23460150, 43715152500]$ |
\(y^2+xy=x^3+x^2-23460150x+43715152500\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(3221, 38143), (5263325/44, 410293575/44)]$ |
$1$ |
| 277350.o2 |
277350o1 |
277350.o |
277350o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 43^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$3.739143295$ |
$1$ |
|
$11$ |
$10644480$ |
$2.591068$ |
$-2305199161/1981440$ |
$0.87827$ |
$4.36388$ |
$1$ |
$[1, 1, 0, -1272150, 870124500]$ |
\(y^2+xy=x^3+x^2-1272150x+870124500\) |
2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? |
$[(-4, 29586), (72095/2, 19249955/2)]$ |
$1$ |
| 277350.p1 |
277350p1 |
277350.p |
277350p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{16} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$468357120$ |
$4.448547$ |
$408076159454905367161/1190206406250000$ |
$1.01605$ |
$6.35774$ |
$1$ |
$[1, 1, 0, -7143034650, 231776551714500]$ |
\(y^2+xy=x^3+x^2-7143034650x+231776551714500\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 277350.p2 |
277350p2 |
277350.p |
277350p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{2} \cdot 3^{22} \cdot 5^{11} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$936714240$ |
$4.795120$ |
$-86193969101536367161/725294740213012500$ |
$1.03975$ |
$6.45258$ |
$1$ |
$[1, 1, 0, -4253972150, 420989922027000]$ |
\(y^2+xy=x^3+x^2-4253972150x+420989922027000\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 277350.q1 |
277350q1 |
277350.q |
277350q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{2} \cdot 3 \cdot 5^{3} \cdot 43^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$1.874990709$ |
$1$ |
|
$8$ |
$2427264$ |
$1.903294$ |
$523181/12$ |
$0.82007$ |
$3.83671$ |
$1$ |
$[1, 1, 0, -190485, 31279425]$ |
\(y^2+xy=x^3+x^2-190485x+31279425\) |
60.2.0.a.1 |
$[(770, 18105), (2609/5, 436313/5)]$ |
$1$ |
| 277350.r1 |
277350r1 |
277350.r |
277350r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{2} \cdot 3 \cdot 5^{9} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$1.734478008$ |
$1$ |
|
$4$ |
$282240$ |
$0.827412$ |
$523181/12$ |
$0.82007$ |
$2.80658$ |
$1$ |
$[1, 1, 0, -2575, -50375]$ |
\(y^2+xy=x^3+x^2-2575x-50375\) |
60.2.0.a.1 |
$[(60, 95)]$ |
$1$ |
| 277350.s1 |
277350s1 |
277350.s |
277350s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{22} \cdot 3 \cdot 5^{10} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$18.50952915$ |
$1$ |
|
$0$ |
$116812080$ |
$3.889965$ |
$-7373425/12582912$ |
$1.08154$ |
$5.58419$ |
$1$ |
$[1, 1, 0, -19669700, 1823661474000]$ |
\(y^2+xy=x^3+x^2-19669700x+1823661474000\) |
6.2.0.a.1 |
$[(741273888424/717, 637948242479765948/717)]$ |
$1$ |
| 277350.t1 |
277350t1 |
277350.t |
277350t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{22} \cdot 3 \cdot 5^{4} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$7.240999923$ |
$1$ |
|
$0$ |
$543312$ |
$1.204643$ |
$-7373425/12582912$ |
$1.08154$ |
$3.01308$ |
$1$ |
$[1, 1, 0, -425, -183675]$ |
\(y^2+xy=x^3+x^2-425x-183675\) |
6.2.0.a.1 |
$[(37074/25, 553407/25)]$ |
$1$ |
| 277350.u1 |
277350u1 |
277350.u |
277350u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$35.49881880$ |
$1$ |
|
$0$ |
$38142720$ |
$3.359585$ |
$148877/314928$ |
$1.13644$ |
$5.07634$ |
$1$ |
$[1, 1, 0, 2194725, -75651433875]$ |
\(y^2+xy=x^3+x^2+2194725x-75651433875\) |
516.2.0.? |
$[(929688274579407974/13352381, 657028936064893408332935541/13352381)]$ |
$1$ |
| 277350.v1 |
277350v1 |
277350.v |
277350v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{5} \cdot 3^{4} \cdot 5^{6} \cdot 43^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$9.091452300$ |
$1$ |
|
$0$ |
$1290240$ |
$1.574898$ |
$-719292433/2592$ |
$1.01779$ |
$3.59860$ |
$1$ |
$[1, 1, 0, -70300, -7226000]$ |
\(y^2+xy=x^3+x^2-70300x-7226000\) |
8.2.0.a.1 |
$[(88795/17, 1924205/17)]$ |
$1$ |
| 277350.w1 |
277350w1 |
277350.w |
277350w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{6} \cdot 43^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$24.39082299$ |
$1$ |
|
$7$ |
$46362624$ |
$3.336124$ |
$778510269523657/1540767744$ |
$1.00479$ |
$5.30695$ |
$1$ |
$[1, 1, 0, -88591175, -320434996875]$ |
\(y^2+xy=x^3+x^2-88591175x-320434996875\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[(-5465, 25845), (-169437845/178, 131610035105/178)]$ |
$1$ |
| 277350.w2 |
277350w2 |
277350.w |
277350w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{14} \cdot 5^{6} \cdot 43^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$97.56329196$ |
$1$ |
|
$4$ |
$92725248$ |
$3.682701$ |
$-230042158153417/1131994839168$ |
$1.03167$ |
$5.38934$ |
$1$ |
$[1, 1, 0, -59007175, -537847812875]$ |
\(y^2+xy=x^3+x^2-59007175x-537847812875\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[(22055, 2970485), (1083001984336355/140086, 35160484865237835985835/140086)]$ |
$1$ |
| 277350.x1 |
277350x4 |
277350.x |
277350x |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$5160$ |
$288$ |
$5$ |
$8.362982456$ |
$1$ |
|
$0$ |
$6451200$ |
$2.346622$ |
$502270291349/1889568$ |
$1.07575$ |
$4.33558$ |
$1$ |
$[1, 1, 0, -1531010, -727411500]$ |
\(y^2+xy=x^3+x^2-1531010x-727411500\) |
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, $\ldots$ |
$[(-787085/33, 66741955/33)]$ |
$1$ |
| 277350.x2 |
277350x2 |
277350.x |
277350x |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2 \cdot 3^{2} \cdot 5^{3} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$5160$ |
$288$ |
$5$ |
$1.672596491$ |
$1$ |
|
$2$ |
$1290240$ |
$1.541903$ |
$131872229/18$ |
$1.12852$ |
$3.67771$ |
$1$ |
$[1, 1, 0, -98035, 11772475]$ |
\(y^2+xy=x^3+x^2-98035x+11772475\) |
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, $\ldots$ |
$[(469, 8086)]$ |
$1$ |
| 277350.x3 |
277350x3 |
277350.x |
277350x |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{3} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$5160$ |
$288$ |
$5$ |
$16.72596491$ |
$1$ |
|
$1$ |
$3225600$ |
$2.000050$ |
$-19465109/248832$ |
$1.09754$ |
$3.77555$ |
$1$ |
$[1, 1, 0, -51810, -21833100]$ |
\(y^2+xy=x^3+x^2-51810x-21833100\) |
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, $\ldots$ |
$[(201208180/401, 2751372300470/401)]$ |
$1$ |
| 277350.x4 |
277350x1 |
277350.x |
277350x |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{3} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$5160$ |
$288$ |
$5$ |
$3.345192982$ |
$1$ |
|
$3$ |
$645120$ |
$1.195330$ |
$-24389/12$ |
$1.10339$ |
$3.04098$ |
$1$ |
$[1, 1, 0, -5585, 216225]$ |
\(y^2+xy=x^3+x^2-5585x+216225\) |
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, $\ldots$ |
$[(0, 465)]$ |
$1$ |
| 277350.y1 |
277350y1 |
277350.y |
277350y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{10} \cdot 5^{3} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$4.209585930$ |
$1$ |
|
$2$ |
$12418560$ |
$2.605663$ |
$556832393083/325005696$ |
$1.02028$ |
$4.34380$ |
$1$ |
$[1, 1, 0, 1584555, 71772525]$ |
\(y^2+xy=x^3+x^2+1584555x+71772525\) |
1720.2.0.? |
$[(1515, 76395)]$ |
$1$ |
| 277350.z1 |
277350z1 |
277350.z |
277350z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 5^{6} \cdot 43^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$332881920$ |
$4.055527$ |
$-1687532377/30233088$ |
$1.09909$ |
$5.74319$ |
$1$ |
$[1, 1, 0, -172720675, -4939253637875]$ |
\(y^2+xy=x^3+x^2-172720675x-4939253637875\) |
8.2.0.a.1 |
$[ ]$ |
$1$ |
| 277350.ba1 |
277350ba2 |
277350.ba |
277350ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{3} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1720$ |
$12$ |
$0$ |
$6.420736285$ |
$1$ |
|
$0$ |
$5677056$ |
$2.158211$ |
$4582567781/1198152$ |
$0.96780$ |
$3.96082$ |
$1$ |
$[1, 1, 0, -319915, 51433525]$ |
\(y^2+xy=x^3+x^2-319915x+51433525\) |
2.3.0.a.1, 40.6.0.b.1, 344.6.0.?, 860.6.0.?, 1720.12.0.? |
$[(18995/11, 2904775/11)]$ |
$1$ |
| 277350.ba2 |
277350ba1 |
277350.ba |
277350ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1720$ |
$12$ |
$0$ |
$3.210368142$ |
$1$ |
|
$3$ |
$2838528$ |
$1.811638$ |
$17373979/24768$ |
$0.93316$ |
$3.54637$ |
$1$ |
$[1, 1, 0, 49885, 5208525]$ |
\(y^2+xy=x^3+x^2+49885x+5208525\) |
2.3.0.a.1, 40.6.0.c.1, 344.6.0.?, 430.6.0.?, 1720.12.0.? |
$[(10445, 1062575)]$ |
$1$ |
| 277350.bb1 |
277350bb2 |
277350.bb |
277350bb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8110080$ |
$2.466351$ |
$262147686417280027/22500$ |
$1.10979$ |
$4.87096$ |
$1$ |
$[1, 0, 1, -14333401, 20885608448]$ |
\(y^2+xy+y=x^3-14333401x+20885608448\) |
2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 516.12.0.? |
$[ ]$ |
$1$ |
| 277350.bb2 |
277350bb1 |
277350.bb |
277350bb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{14} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4055040$ |
$2.119778$ |
$64014401080027/18750000$ |
$1.00053$ |
$4.20731$ |
$1$ |
$[1, 0, 1, -895901, 326233448]$ |
\(y^2+xy+y=x^3-895901x+326233448\) |
2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.? |
$[ ]$ |
$1$ |
| 277350.bc1 |
277350bc7 |
277350.bc |
277350bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{9} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$384$ |
$5$ |
$4.150549440$ |
$1$ |
|
$0$ |
$46448640$ |
$3.249485$ |
$16778985534208729/81000$ |
$1.08181$ |
$5.55195$ |
$2$ |
$[1, 0, 1, -246542001, 1489973337148]$ |
\(y^2+xy+y=x^3-246542001x+1489973337148\) |
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, $\ldots$ |
$[(38327/2, 649497/2)]$ |
$1$ |
| 277350.bc2 |
277350bc8 |
277350.bc |
277350bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{18} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$384$ |
$5$ |
$16.60219776$ |
$1$ |
|
$0$ |
$46448640$ |
$3.249485$ |
$10316097499609/5859375000$ |
$1.13600$ |
$4.96197$ |
$2$ |
$[1, 0, 1, -20964001, 5026645148]$ |
\(y^2+xy+y=x^3-20964001x+5026645148\) |
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, $\ldots$ |
$[(638198961/176, 15668089227167/176)]$ |
$1$ |
| 277350.bc3 |
277350bc6 |
277350.bc |
277350bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{12} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$5160$ |
$384$ |
$5$ |
$8.301098881$ |
$1$ |
|
$2$ |
$23224320$ |
$2.902912$ |
$4102915888729/9000000$ |
$1.05221$ |
$4.88840$ |
$1$ |
$[1, 0, 1, -15417001, 23254087148]$ |
\(y^2+xy+y=x^3-15417001x+23254087148\) |
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, $\ldots$ |
$[(616441/16, 34788491/16)]$ |
$1$ |
| 277350.bc4 |
277350bc5 |
277350.bc |
277350bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{10} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$384$ |
$5$ |
$5.534065921$ |
$1$ |
|
$2$ |
$15482880$ |
$2.700180$ |
$2656166199049/33750$ |
$1.05017$ |
$4.85371$ |
$2$ |
$[1, 0, 1, -13336876, -18747796852]$ |
\(y^2+xy+y=x^3-13336876x-18747796852\) |
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, $\ldots$ |
$[(20536, 2882492)]$ |
$1$ |
| 277350.bc5 |
277350bc4 |
277350.bc |
277350bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2 \cdot 3^{12} \cdot 5^{7} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$384$ |
$5$ |
$1.383516480$ |
$1$ |
|
$6$ |
$15482880$ |
$2.700180$ |
$35578826569/5314410$ |
$1.03393$ |
$4.50959$ |
$2$ |
$[1, 0, 1, -3167376, 1868553148]$ |
\(y^2+xy+y=x^3-3167376x+1868553148\) |
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, $\ldots$ |
$[(2132, 68271)]$ |
$1$ |
| 277350.bc6 |
277350bc2 |
277350.bc |
277350bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{8} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$5160$ |
$384$ |
$5$ |
$2.767032960$ |
$1$ |
|
$8$ |
$7741440$ |
$2.353603$ |
$702595369/72900$ |
$1.00457$ |
$4.19644$ |
$1$ |
$[1, 0, 1, -856126, -276286852]$ |
\(y^2+xy+y=x^3-856126x-276286852\) |
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, $\ldots$ |
$[(-413, 2831)]$ |
$1$ |
| 277350.bc7 |
277350bc3 |
277350.bc |
277350bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{9} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$384$ |
$5$ |
$16.60219776$ |
$1$ |
|
$1$ |
$11612160$ |
$2.556339$ |
$-273359449/1536000$ |
$1.04920$ |
$4.31031$ |
$2$ |
$[1, 0, 1, -625001, 622327148]$ |
\(y^2+xy+y=x^3-625001x+622327148\) |
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, $\ldots$ |
$[(595439267/341, 14288335692666/341)]$ |
$1$ |
| 277350.bc8 |
277350bc1 |
277350.bc |
277350bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$384$ |
$5$ |
$5.534065921$ |
$1$ |
|
$3$ |
$3870720$ |
$2.007030$ |
$357911/2160$ |
$0.99689$ |
$3.77048$ |
$2$ |
$[1, 0, 1, 68374, -21124852]$ |
\(y^2+xy+y=x^3+68374x-21124852\) |
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, $\ldots$ |
$[(5097, 361801)]$ |
$1$ |
| 277350.bd1 |
277350bd1 |
277350.bd |
277350bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{2} \cdot 3^{5} \cdot 5^{6} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$2.295784767$ |
$1$ |
|
$4$ |
$7983360$ |
$2.306641$ |
$-338608873/41796$ |
$0.90085$ |
$4.15362$ |
$1$ |
$[1, 0, 1, -671226, -233205152]$ |
\(y^2+xy+y=x^3-671226x-233205152\) |
516.2.0.? |
$[(971, 5061)]$ |
$1$ |
| 277350.be1 |
277350be1 |
277350.be |
277350be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{53} \cdot 3^{8} \cdot 5^{15} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$52.59934639$ |
$1$ |
|
$0$ |
$47389224960$ |
$6.679787$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$8.25241$ |
$1$ |
$[1, 0, 1, 5557629553349, 33306640876850888198]$ |
\(y^2+xy+y=x^3+5557629553349x+33306640876850888198\) |
1720.2.0.? |
$[(-32980419688295902998607298/4448854411, 388097219395081726481766437056590797636/4448854411)]$ |
$1$ |
| 277350.bf1 |
277350bf1 |
277350.bf |
277350bf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$4.063822506$ |
$1$ |
|
$0$ |
$5322240$ |
$2.169132$ |
$-75988526665/3566592$ |
$0.91245$ |
$4.06270$ |
$1$ |
$[1, 0, 1, -477081, -131916932]$ |
\(y^2+xy+y=x^3-477081x-131916932\) |
86.2.0.? |
$[(22211/5, 1453194/5)]$ |
$1$ |