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 |
63426.a1 |
63426h1 |
63426.a |
63426h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{5} \cdot 3^{10} \cdot 11 \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2728$ |
$2$ |
$0$ |
$2.185317999$ |
$1$ |
|
$0$ |
$140800$ |
$0.985545$ |
$-104553677431/20785248$ |
$0.94374$ |
$3.25298$ |
$[1, 1, 0, -3042, -76140]$ |
\(y^2+xy=x^3+x^2-3042x-76140\) |
2728.2.0.? |
$[(639/2, 14427/2)]$ |
63426.b1 |
63426f2 |
63426.b |
63426f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 11^{2} \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4092$ |
$12$ |
$0$ |
$1.928239494$ |
$1$ |
|
$2$ |
$1474560$ |
$2.300694$ |
$2061621066895417/43751664$ |
$0.95281$ |
$5.05228$ |
$[1, 1, 0, -2548111, -1566614795]$ |
\(y^2+xy=x^3+x^2-2548111x-1566614795\) |
2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.? |
$[(4306, 257317)]$ |
63426.b2 |
63426f1 |
63426.b |
63426f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11 \cdot 31^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4092$ |
$12$ |
$0$ |
$3.856478989$ |
$1$ |
|
$3$ |
$737280$ |
$1.954119$ |
$558051585337/73066752$ |
$0.90054$ |
$4.30939$ |
$[1, 1, 0, -164831, -22726011]$ |
\(y^2+xy=x^3+x^2-164831x-22726011\) |
2.3.0.a.1, 66.6.0.a.1, 124.6.0.?, 4092.12.0.? |
$[(1237, 40224)]$ |
63426.c1 |
63426a1 |
63426.c |
63426a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 11^{3} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.508124581$ |
$1$ |
|
$2$ |
$892800$ |
$2.049759$ |
$2136551/431244$ |
$0.94797$ |
$4.33169$ |
$[1, 1, 0, 25447, -29126271]$ |
\(y^2+xy=x^3+x^2+25447x-29126271\) |
22.2.0.a.1 |
$[(400, 6527)]$ |
63426.d1 |
63426c1 |
63426.d |
63426c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 11^{3} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10713600$ |
$3.300797$ |
$-201673154403670009/20120120064$ |
$1.00408$ |
$6.08788$ |
$[1, 1, 0, -115861543, -480107158859]$ |
\(y^2+xy=x^3+x^2-115861543x-480107158859\) |
22.2.0.a.1 |
$[]$ |
63426.e1 |
63426e3 |
63426.e |
63426e |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{6} \cdot 3 \cdot 11^{3} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$8184$ |
$96$ |
$1$ |
$1.299036898$ |
$1$ |
|
$7$ |
$345600$ |
$1.606916$ |
$57736239625/255552$ |
$0.99775$ |
$4.10423$ |
$[1, 1, 0, -77380, 8221072]$ |
\(y^2+xy=x^3+x^2-77380x+8221072\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(183, 389)]$ |
63426.e2 |
63426e4 |
63426.e |
63426e |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{2} \cdot 11^{6} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$8184$ |
$96$ |
$1$ |
$2.598073797$ |
$1$ |
|
$4$ |
$691200$ |
$1.953489$ |
$-7357983625/127552392$ |
$1.05287$ |
$4.22835$ |
$[1, 1, 0, -38940, 16439544]$ |
\(y^2+xy=x^3+x^2-38940x+16439544\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(-65, 4357)]$ |
63426.e3 |
63426e1 |
63426.e |
63426e |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 11 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$8184$ |
$96$ |
$1$ |
$3.897110696$ |
$1$ |
|
$3$ |
$115200$ |
$1.057610$ |
$18609625/1188$ |
$0.92581$ |
$3.37714$ |
$[1, 1, 0, -5305, -142511]$ |
\(y^2+xy=x^3+x^2-5305x-142511\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(1485, 56437)]$ |
63426.e4 |
63426e2 |
63426.e |
63426e |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2 \cdot 3^{6} \cdot 11^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$8184$ |
$96$ |
$1$ |
$7.794221392$ |
$1$ |
|
$0$ |
$230400$ |
$1.404184$ |
$9938375/176418$ |
$1.01160$ |
$3.62701$ |
$[1, 1, 0, 4305, -590337]$ |
\(y^2+xy=x^3+x^2+4305x-590337\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(72703/7, 19374445/7)]$ |
63426.f1 |
63426d1 |
63426.f |
63426d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{28} \cdot 3^{2} \cdot 11 \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5832960$ |
$2.985184$ |
$-26269282691257/26575110144$ |
$0.97484$ |
$5.37025$ |
$[1, 1, 0, -5873171, 9079412397]$ |
\(y^2+xy=x^3+x^2-5873171x+9079412397\) |
22.2.0.a.1 |
$[]$ |
63426.g1 |
63426b1 |
63426.g |
63426b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11 \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$3.742135986$ |
$1$ |
|
$2$ |
$595200$ |
$1.833565$ |
$-33874537/25344$ |
$0.85126$ |
$4.12745$ |
$[1, 1, 0, -63926, 9393492]$ |
\(y^2+xy=x^3+x^2-63926x+9393492\) |
22.2.0.a.1 |
$[(188, 1922)]$ |
63426.h1 |
63426g1 |
63426.h |
63426g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{5} \cdot 3^{12} \cdot 11 \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$3.869398589$ |
$1$ |
|
$2$ |
$122400$ |
$0.844269$ |
$100699396871/187067232$ |
$0.94688$ |
$2.98404$ |
$[1, 1, 0, 957, 17325]$ |
\(y^2+xy=x^3+x^2+957x+17325\) |
88.2.0.? |
$[(1275, 44925)]$ |
63426.i1 |
63426o1 |
63426.i |
63426o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{2} \cdot 3 \cdot 11^{3} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8184$ |
$12$ |
$0$ |
$2.492480933$ |
$1$ |
|
$3$ |
$1105920$ |
$1.785767$ |
$27027009001/15349092$ |
$1.12011$ |
$4.03559$ |
$[1, 0, 1, -60083, -778918]$ |
\(y^2+xy+y=x^3-60083x-778918\) |
2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.? |
$[(266, 1308)]$ |
63426.i2 |
63426o2 |
63426.i |
63426o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2 \cdot 3^{2} \cdot 11^{6} \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8184$ |
$12$ |
$0$ |
$4.984961867$ |
$1$ |
|
$2$ |
$2211840$ |
$2.132339$ |
$1676253304439/988531038$ |
$0.96793$ |
$4.40886$ |
$[1, 0, 1, 237827, -6141298]$ |
\(y^2+xy+y=x^3+237827x-6141298\) |
2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.? |
$[(9010, 851993)]$ |
63426.j1 |
63426n1 |
63426.j |
63426n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{5} \cdot 3^{10} \cdot 11 \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2728$ |
$2$ |
$0$ |
$1.369277967$ |
$1$ |
|
$4$ |
$4364800$ |
$2.702538$ |
$-104553677431/20785248$ |
$0.94374$ |
$5.11630$ |
$[1, 0, 1, -2923863, 2230278682]$ |
\(y^2+xy+y=x^3-2923863x+2230278682\) |
2728.2.0.? |
$[(80, 44646)]$ |
63426.k1 |
63426q1 |
63426.k |
63426q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{4} \cdot 11 \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.422228$ |
$4657463/220968$ |
$0.87375$ |
$3.64926$ |
$[1, 0, 1, 3343, -669364]$ |
\(y^2+xy+y=x^3+3343x-669364\) |
2728.2.0.? |
$[]$ |
63426.l1 |
63426p1 |
63426.l |
63426p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 11^{3} \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.248524418$ |
$1$ |
|
$18$ |
$28800$ |
$0.332766$ |
$2136551/431244$ |
$0.94797$ |
$2.46836$ |
$[1, 0, 1, 26, 980]$ |
\(y^2+xy+y=x^3+26x+980\) |
22.2.0.a.1 |
$[(-8, 20), (25, 119)]$ |
63426.m1 |
63426k1 |
63426.m |
63426k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 11^{3} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.434987829$ |
$1$ |
|
$6$ |
$345600$ |
$1.583805$ |
$-201673154403670009/20120120064$ |
$1.00408$ |
$4.22456$ |
$[1, 0, 1, -120564, 16104178]$ |
\(y^2+xy+y=x^3-120564x+16104178\) |
22.2.0.a.1 |
$[(209, 111)]$ |
63426.n1 |
63426j1 |
63426.n |
63426j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{10} \cdot 3^{11} \cdot 11 \cdot 31^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8184$ |
$12$ |
$0$ |
$5.160502535$ |
$1$ |
|
$1$ |
$6758400$ |
$3.057945$ |
$7219775199978393625/1917563839488$ |
$0.99118$ |
$5.79033$ |
$[1, 0, 1, -38695166, -92629349008]$ |
\(y^2+xy+y=x^3-38695166x-92629349008\) |
2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.? |
$[(93723/2, 27461987/2)]$ |
63426.n2 |
63426j2 |
63426.n |
63426j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{5} \cdot 3^{22} \cdot 11^{2} \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8184$ |
$12$ |
$0$ |
$10.32100507$ |
$1$ |
|
$0$ |
$13516800$ |
$3.404518$ |
$-4866890555501529625/3766731346987488$ |
$1.04572$ |
$5.83144$ |
$[1, 0, 1, -33928606, -116298179344]$ |
\(y^2+xy+y=x^3-33928606x-116298179344\) |
2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.? |
$[(228373/4, 96758879/4)]$ |
63426.o1 |
63426l1 |
63426.o |
63426l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{13} \cdot 3^{8} \cdot 11^{3} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2728$ |
$2$ |
$0$ |
$7.468336537$ |
$1$ |
|
$2$ |
$7188480$ |
$3.121494$ |
$-22724271869580547993/2217684344832$ |
$0.99564$ |
$5.89404$ |
$[1, 0, 1, -56708150, -164386227256]$ |
\(y^2+xy+y=x^3-56708150x-164386227256\) |
2728.2.0.? |
$[(330726, 189981460)]$ |
63426.p1 |
63426m1 |
63426.p |
63426m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{28} \cdot 3^{2} \cdot 11 \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$6.813553149$ |
$1$ |
|
$0$ |
$188160$ |
$1.268190$ |
$-26269282691257/26575110144$ |
$0.97484$ |
$3.50693$ |
$[1, 0, 1, -6112, -305362]$ |
\(y^2+xy+y=x^3-6112x-305362\) |
22.2.0.a.1 |
$[(131761/37, -1578169/37)]$ |
63426.q1 |
63426r1 |
63426.q |
63426r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11 \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19200$ |
$0.116571$ |
$-33874537/25344$ |
$0.85126$ |
$2.26413$ |
$[1, 0, 1, -67, -322]$ |
\(y^2+xy+y=x^3-67x-322\) |
22.2.0.a.1 |
$[]$ |
63426.r1 |
63426i1 |
63426.r |
63426i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{5} \cdot 3^{12} \cdot 11 \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3794400$ |
$2.561264$ |
$100699396871/187067232$ |
$0.94688$ |
$4.84736$ |
$[1, 0, 1, 919176, -504177626]$ |
\(y^2+xy+y=x^3+919176x-504177626\) |
88.2.0.? |
$[]$ |
63426.s1 |
63426x3 |
63426.s |
63426x |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{2} \cdot 3 \cdot 11^{5} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.2 |
2B, 5B.4.2 |
$40920$ |
$288$ |
$5$ |
$6.012376310$ |
$1$ |
|
$1$ |
$2880000$ |
$2.464848$ |
$112763292123580561/1932612$ |
$1.06379$ |
$5.41418$ |
$[1, 1, 1, -9672485, 11574547271]$ |
\(y^2+xy+y=x^3+x^2-9672485x+11574547271\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.d.1, 10.36.0.a.1, 40.72.1.t.1, $\ldots$ |
$[(81755/7, 2865766/7)]$ |
63426.s2 |
63426x4 |
63426.s |
63426x |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2 \cdot 3^{2} \cdot 11^{10} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.2 |
2B, 5B.4.2 |
$40920$ |
$288$ |
$5$ |
$12.02475262$ |
$1$ |
|
$0$ |
$5760000$ |
$2.811420$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$5.41456$ |
$[1, 1, 1, -9662875, 11598706811]$ |
\(y^2+xy+y=x^3+x^2-9662875x+11598706811\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.a.1, 10.36.0.a.1, 40.72.1.c.2, $\ldots$ |
$[(8249931/70, 3241568119/70)]$ |
63426.s3 |
63426x1 |
63426.s |
63426x |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{10} \cdot 3^{5} \cdot 11 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.1 |
2B, 5B.4.1 |
$40920$ |
$288$ |
$5$ |
$1.202475262$ |
$1$ |
|
$7$ |
$576000$ |
$1.660128$ |
$10091699281/2737152$ |
$1.07340$ |
$3.94650$ |
$[1, 1, 1, -43265, -2542849]$ |
\(y^2+xy+y=x^3+x^2-43265x-2542849\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.d.1, 10.36.0.a.2, 40.72.1.t.2, $\ldots$ |
$[(431, 7472)]$ |
63426.s4 |
63426x2 |
63426.s |
63426x |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{5} \cdot 3^{10} \cdot 11^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.1 |
2B, 5B.4.1 |
$40920$ |
$288$ |
$5$ |
$2.404950524$ |
$1$ |
|
$4$ |
$1152000$ |
$2.006702$ |
$168105213359/228637728$ |
$1.10021$ |
$4.22804$ |
$[1, 1, 1, 110495, -16381249]$ |
\(y^2+xy+y=x^3+x^2+110495x-16381249\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.a.1, 10.36.0.a.2, 40.72.1.c.1, $\ldots$ |
$[(369, 8464)]$ |
63426.t1 |
63426ba2 |
63426.t |
63426ba |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 11^{3} \cdot 31^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2046$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12052800$ |
$3.209293$ |
$-640929697062433/47916$ |
$1.01031$ |
$6.18883$ |
$[1, 1, 1, -168100062, 838810174215]$ |
\(y^2+xy+y=x^3+x^2-168100062x+838810174215\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 93.8.0.?, 2046.16.0.? |
$[]$ |
63426.t2 |
63426ba1 |
63426.t |
63426ba |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 11 \cdot 31^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2046$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4017600$ |
$2.659988$ |
$-877078753/513216$ |
$0.93202$ |
$5.03098$ |
$[1, 1, 1, -1866282, 1390884087]$ |
\(y^2+xy+y=x^3+x^2-1866282x+1390884087\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 93.8.0.?, 2046.16.0.? |
$[]$ |
63426.u1 |
63426v2 |
63426.u |
63426v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 11^{6} \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4092$ |
$12$ |
$0$ |
$3.751348359$ |
$1$ |
|
$2$ |
$20643840$ |
$3.636257$ |
$120737856347074599697/67244278190817024$ |
$1.13457$ |
$6.04506$ |
$[1, 1, 1, -98953229, 73424872451]$ |
\(y^2+xy+y=x^3+x^2-98953229x+73424872451\) |
2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.? |
$[(-4777, 663556)]$ |
63426.u2 |
63426v1 |
63426.u |
63426v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{16} \cdot 3^{7} \cdot 11^{3} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4092$ |
$12$ |
$0$ |
$7.502696718$ |
$1$ |
|
$1$ |
$10321920$ |
$3.289680$ |
$28035534600833657617/183328572506112$ |
$1.08759$ |
$5.91302$ |
$[1, 1, 1, -60820749, -181559394813]$ |
\(y^2+xy+y=x^3+x^2-60820749x-181559394813\) |
2.3.0.a.1, 66.6.0.a.1, 124.6.0.?, 4092.12.0.? |
$[(38211/2, 2606457/2)]$ |
63426.v1 |
63426w4 |
63426.v |
63426w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{2} \cdot 3 \cdot 11 \cdot 31^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$8184$ |
$48$ |
$0$ |
$11.53776249$ |
$1$ |
|
$0$ |
$983040$ |
$2.139233$ |
$41973665875777/121904772$ |
$0.92912$ |
$4.70010$ |
$[1, 1, 1, -695784, 222536805]$ |
\(y^2+xy+y=x^3+x^2-695784x+222536805\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 66.6.0.a.1, 124.12.0.?, $\ldots$ |
$[(148089/7, 54506733/7)]$ |
63426.v2 |
63426w3 |
63426.v |
63426w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 11^{4} \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$8184$ |
$48$ |
$0$ |
$11.53776249$ |
$1$ |
|
$0$ |
$983040$ |
$2.139233$ |
$35394167353537/147054204$ |
$0.92800$ |
$4.68468$ |
$[1, 1, 1, -657344, -204669979]$ |
\(y^2+xy+y=x^3+x^2-657344x-204669979\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 124.24.0.?, 264.24.0.?, 8184.48.0.? |
$[(4143309/37, 8018263387/37)]$ |
63426.v3 |
63426w2 |
63426.v |
63426w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4092$ |
$48$ |
$0$ |
$5.768881245$ |
$1$ |
|
$4$ |
$491520$ |
$1.792658$ |
$29019350017/16744464$ |
$0.97210$ |
$4.04202$ |
$[1, 1, 1, -61524, 292101]$ |
\(y^2+xy+y=x^3+x^2-61524x+292101\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 124.24.0.?, 132.24.0.?, 4092.48.0.? |
$[(2983, 160901)]$ |
63426.v4 |
63426w1 |
63426.v |
63426w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{8} \cdot 3 \cdot 11 \cdot 31^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$8184$ |
$48$ |
$0$ |
$11.53776249$ |
$1$ |
|
$3$ |
$245760$ |
$1.446085$ |
$451217663/261888$ |
$0.93506$ |
$3.66547$ |
$[1, 1, 1, 15356, 46085]$ |
\(y^2+xy+y=x^3+x^2+15356x+46085\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 248.24.0.?, 264.24.0.?, 2046.6.0.?, $\ldots$ |
$[(267241/19, 137653963/19)]$ |
63426.w1 |
63426s1 |
63426.w |
63426s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{16} \cdot 3^{14} \cdot 11 \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11665920$ |
$3.374176$ |
$9079504214351/3448023220224$ |
$1.05025$ |
$5.76922$ |
$[1, 1, 1, 4121709, -82442241135]$ |
\(y^2+xy+y=x^3+x^2+4121709x-82442241135\) |
22.2.0.a.1 |
$[]$ |
63426.x1 |
63426y1 |
63426.x |
63426y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 11^{7} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.266654388$ |
$1$ |
|
$6$ |
$3333120$ |
$2.840519$ |
$-26069917217089/2806152624$ |
$0.96146$ |
$5.29357$ |
$[1, 1, 1, -5858276, 5941101845]$ |
\(y^2+xy+y=x^3+x^2-5858276x+5941101845\) |
22.2.0.a.1 |
$[(-561, 95419)]$ |
63426.y1 |
63426t1 |
63426.y |
63426t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{2} \cdot 11^{5} \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2728$ |
$2$ |
$0$ |
$2.654346169$ |
$1$ |
|
$4$ |
$4047360$ |
$2.866802$ |
$-16338724609375/11595672$ |
$1.08500$ |
$5.54655$ |
$[1, 1, 1, -15748888, 24064158785]$ |
\(y^2+xy+y=x^3+x^2-15748888x+24064158785\) |
2728.2.0.? |
$[(-4405, 91575)]$ |
63426.z1 |
63426u1 |
63426.z |
63426u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2 \cdot 3^{8} \cdot 11 \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2728$ |
$2$ |
$0$ |
$11.80194590$ |
$1$ |
|
$0$ |
$1290240$ |
$2.256844$ |
$-2754008142913/4300092522$ |
$0.93170$ |
$4.57203$ |
$[1, 1, 1, -280632, 109921059]$ |
\(y^2+xy+y=x^3+x^2-280632x+109921059\) |
2728.2.0.? |
$[(-8031941/214, 122387982179/214)]$ |
63426.ba1 |
63426z1 |
63426.ba |
63426z |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{6} \cdot 3^{12} \cdot 11^{5} \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2046$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1814400$ |
$2.183422$ |
$-624757597087742358817/5477702687424$ |
$1.03238$ |
$4.95150$ |
$[1, 1, 1, -1757534, -897555877]$ |
\(y^2+xy+y=x^3+x^2-1757534x-897555877\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 93.8.0.?, 2046.16.0.? |
$[]$ |
63426.ba2 |
63426z2 |
63426.ba |
63426z |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 11^{15} \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2046$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5443200$ |
$2.732731$ |
$-84958867781400698977/1353428406890670924$ |
$1.06131$ |
$5.07410$ |
$[1, 1, 1, -903794, -1766763637]$ |
\(y^2+xy+y=x^3+x^2-903794x-1766763637\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 93.8.0.?, 2046.16.0.? |
$[]$ |
63426.bb1 |
63426bc2 |
63426.bb |
63426bc |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 11^{3} \cdot 31^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$66$ |
$16$ |
$0$ |
$7.852972113$ |
$1$ |
|
$0$ |
$388800$ |
$1.492300$ |
$-640929697062433/47916$ |
$1.01031$ |
$4.32551$ |
$[1, 0, 0, -174922, -28173424]$ |
\(y^2+xy=x^3-174922x-28173424\) |
3.8.0-3.a.1.1, 22.2.0.a.1, 66.16.0-66.a.1.1 |
$[(3491/2, 172531/2)]$ |
63426.bb2 |
63426bc1 |
63426.bb |
63426bc |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 11 \cdot 31^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$66$ |
$16$ |
$0$ |
$2.617657371$ |
$1$ |
|
$6$ |
$129600$ |
$0.942994$ |
$-877078753/513216$ |
$0.93202$ |
$3.16765$ |
$[1, 0, 0, -1942, -46876]$ |
\(y^2+xy=x^3-1942x-46876\) |
3.8.0-3.a.1.2, 22.2.0.a.1, 66.16.0-66.a.1.4 |
$[(152, 1706)]$ |
63426.bc1 |
63426bi4 |
63426.bc |
63426bi |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{6} \cdot 3 \cdot 11 \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.112 |
2B |
$16368$ |
$192$ |
$1$ |
$25.77261559$ |
$4$ |
$2$ |
$0$ |
$5898240$ |
$3.127300$ |
$4708545773991716929537/65472$ |
$1.01410$ |
$6.37637$ |
$[1, 0, 0, -335565844, -2366027948080]$ |
\(y^2+xy=x^3-335565844x-2366027948080\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.h.1.9, 124.12.0.?, $\ldots$ |
$[(356894598004/1845, 209380239473568668/1845)]$ |
63426.bc2 |
63426bi6 |
63426.bc |
63426bi |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 31^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.211 |
2B |
$16368$ |
$192$ |
$1$ |
$12.88630779$ |
$1$ |
|
$0$ |
$11796480$ |
$3.473873$ |
$31368919137792368257/7430386718185992$ |
$1.00272$ |
$5.92317$ |
$[1, 0, 0, -63141564, 148417258248]$ |
\(y^2+xy=x^3-63141564x+148417258248\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0-8.r.1.1, 124.12.0.?, $\ldots$ |
$[(3302142/13, 5525501886/13)]$ |
63426.bc3 |
63426bi3 |
63426.bc |
63426bi |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 11^{4} \cdot 31^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.77 |
2Cs |
$8184$ |
$192$ |
$1$ |
$6.443153899$ |
$1$ |
|
$4$ |
$5898240$ |
$3.127300$ |
$1200862149227882497/70094268661824$ |
$1.07552$ |
$5.62810$ |
$[1, 0, 0, -21280404, -35830451376]$ |
\(y^2+xy=x^3-21280404x-35830451376\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.c.1.1, 124.24.0.?, 248.96.0.?, $\ldots$ |
$[(19164, 2558412)]$ |
63426.bc4 |
63426bi2 |
63426.bc |
63426bi |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 11^{2} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.78 |
2Cs |
$8184$ |
$192$ |
$1$ |
$12.88630779$ |
$1$ |
|
$2$ |
$2949120$ |
$2.780727$ |
$1149550394446181377/4286582784$ |
$1.02254$ |
$5.62416$ |
$[1, 0, 0, -20972884, -36970428016]$ |
\(y^2+xy=x^3-20972884x-36970428016\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.h.1.1, 124.24.0.?, 132.24.0.?, $\ldots$ |
$[(9958328/41, 14688966796/41)]$ |
63426.bc5 |
63426bi1 |
63426.bc |
63426bi |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{24} \cdot 3 \cdot 11 \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.90 |
2B |
$16368$ |
$192$ |
$1$ |
$6.443153899$ |
$1$ |
|
$1$ |
$1474560$ |
$2.434151$ |
$-268498407453697/17163091968$ |
$0.94248$ |
$4.87741$ |
$[1, 0, 0, -1291604, -595486320]$ |
\(y^2+xy=x^3-1291604x-595486320\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.h.1.1, 124.12.0.?, $\ldots$ |
$[(110020/9, 8624800/9)]$ |
63426.bc6 |
63426bi5 |
63426.bc |
63426bi |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{8} \cdot 11^{8} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.209 |
2B |
$16368$ |
$192$ |
$1$ |
$3.221576949$ |
$1$ |
|
$4$ |
$11796480$ |
$3.473873$ |
$478591624936623743/10812469457036808$ |
$1.07128$ |
$5.87397$ |
$[1, 0, 0, 15660436, -147118425960]$ |
\(y^2+xy=x^3+15660436x-147118425960\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.k.1.3, 124.12.0.?, 248.96.0.?, $\ldots$ |
$[(5302, 288838)]$ |