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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
83391.a1 |
83391j1 |
83391.a |
83391j |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{3} \cdot 7 \cdot 11 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8778$ |
$2$ |
$0$ |
$3.070735316$ |
$1$ |
|
$0$ |
$777600$ |
$1.734545$ |
$170990840664064/39501$ |
$[0, -1, 1, -417436, -103669470]$ |
\(y^2+y=x^3-x^2-417436x-103669470\) |
8778.2.0.? |
$[(-18268/7, 370/7)]$ |
83391.b1 |
83391k1 |
83391.b |
83391k |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{3} \cdot 7 \cdot 11^{5} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8778$ |
$2$ |
$0$ |
$0.354279275$ |
$1$ |
|
$4$ |
$134400$ |
$0.871860$ |
$81520685056/30438639$ |
$[0, -1, 1, -1716, -15730]$ |
\(y^2+y=x^3-x^2-1716x-15730\) |
8778.2.0.? |
$[(-25, 104)]$ |
83391.c1 |
83391i4 |
83391.c |
83391i |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{2} \cdot 7 \cdot 11^{4} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11704$ |
$48$ |
$0$ |
$1.886799908$ |
$1$ |
|
$2$ |
$1013760$ |
$2.184090$ |
$28808239025774377/17525277$ |
$[1, 1, 1, -2305534, 1346466182]$ |
\(y^2+xy+y=x^3+x^2-2305534x+1346466182\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 76.12.0.?, 88.12.0.?, $\ldots$ |
$[(644, 11049)]$ |
83391.c2 |
83391i3 |
83391.c |
83391i |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 11 \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11704$ |
$48$ |
$0$ |
$1.886799908$ |
$1$ |
|
$2$ |
$1013760$ |
$2.184090$ |
$79690191516937/30977171379$ |
$[1, 1, 1, -323644, -40739854]$ |
\(y^2+xy+y=x^3+x^2-323644x-40739854\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0.h.1, 56.12.0-4.c.1.5, 76.12.0.?, $\ldots$ |
$[(-192, 3886)]$ |
83391.c3 |
83391i2 |
83391.c |
83391i |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 11^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5852$ |
$48$ |
$0$ |
$3.773599816$ |
$1$ |
|
$4$ |
$506880$ |
$1.837515$ |
$7158927499417/173369889$ |
$[1, 1, 1, -144949, 20731226]$ |
\(y^2+xy+y=x^3+x^2-144949x+20731226\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 44.12.0.a.1, 76.12.0.?, 308.24.0.?, $\ldots$ |
$[(1136, 35814)]$ |
83391.c4 |
83391i1 |
83391.c |
83391i |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{8} \cdot 7 \cdot 11 \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11704$ |
$48$ |
$0$ |
$7.547199632$ |
$1$ |
|
$1$ |
$253440$ |
$1.490942$ |
$4657463/9598743$ |
$[1, 1, 1, 1256, 1022792]$ |
\(y^2+xy+y=x^3+x^2+1256x+1022792\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 88.12.0.?, 152.12.0.?, $\ldots$ |
$[(13472/7, 1570449/7)]$ |
83391.d1 |
83391f1 |
83391.d |
83391f |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{5} \cdot 11 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17556$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1094400$ |
$2.181942$ |
$6869835701/4991679$ |
$[1, 1, 1, 271645, -27436282]$ |
\(y^2+xy+y=x^3+x^2+271645x-27436282\) |
17556.2.0.? |
$[]$ |
83391.e1 |
83391l4 |
83391.e |
83391l |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{28} \cdot 7 \cdot 11^{2} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$14837760$ |
$3.534660$ |
$705629104434579771433/368156220977687373$ |
$[1, 1, 1, -66956302, -66188478106]$ |
\(y^2+xy+y=x^3+x^2-66956302x-66188478106\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 266.6.0.?, 456.24.0.?, $\ldots$ |
$[]$ |
83391.e2 |
83391l2 |
83391.e |
83391l |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{14} \cdot 7^{2} \cdot 11^{4} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7418880$ |
$3.188087$ |
$128058892751492323993/1238715547642881$ |
$[1, 1, 1, -37908437, 89066550746]$ |
\(y^2+xy+y=x^3+x^2-37908437x+89066550746\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 228.24.0.?, 532.24.0.?, $\ldots$ |
$[]$ |
83391.e3 |
83391l1 |
83391.e |
83391l |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{7} \cdot 7^{4} \cdot 11^{2} \cdot 19^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3709440$ |
$2.841511$ |
$127164651399625564873/12072019113$ |
$[1, 1, 1, -37819992, 89506334664]$ |
\(y^2+xy+y=x^3+x^2-37819992x+89506334664\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 114.6.0.?, 168.24.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
83391.e4 |
83391l3 |
83391.e |
83391l |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{7} \cdot 7 \cdot 11^{8} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14837760$ |
$3.534660$ |
$-2550558824302680073/427664014254832509$ |
$[1, 1, 1, -10275692, 216177177746]$ |
\(y^2+xy+y=x^3+x^2-10275692x+216177177746\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
83391.f1 |
83391e1 |
83391.f |
83391e |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3 \cdot 7^{2} \cdot 11^{9} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1254$ |
$2$ |
$0$ |
$0.882252240$ |
$1$ |
|
$4$ |
$3369600$ |
$2.618362$ |
$5900696781553664/6585747900963$ |
$[0, -1, 1, 1359045, -588100063]$ |
\(y^2+y=x^3-x^2+1359045x-588100063\) |
1254.2.0.? |
$[(14111, 1681718)]$ |
83391.g1 |
83391b1 |
83391.g |
83391b |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{7} \cdot 7^{5} \cdot 11^{3} \cdot 19^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8778$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$29635200$ |
$3.938892$ |
$108564537417325852524544/43731285645734113581$ |
$[0, -1, 1, -358780331, 1442180061803]$ |
\(y^2+y=x^3-x^2-358780331x+1442180061803\) |
8778.2.0.? |
$[]$ |
83391.h1 |
83391a1 |
83391.h |
83391a |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{8} \cdot 7 \cdot 11 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$154$ |
$2$ |
$0$ |
$0.937388586$ |
$1$ |
|
$0$ |
$590976$ |
$2.019173$ |
$1216000000000/505197$ |
$[0, -1, 1, -571583, 166459610]$ |
\(y^2+y=x^3-x^2-571583x+166459610\) |
154.2.0.? |
$[(1325/2, 29237/2)]$ |
83391.i1 |
83391g2 |
83391.i |
83391g |
$2$ |
$3$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3 \cdot 7^{6} \cdot 11^{3} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1254$ |
$16$ |
$0$ |
$0.437441582$ |
$1$ |
|
$4$ |
$1088640$ |
$2.240891$ |
$-2359010787328000/8925676683$ |
$[0, -1, 1, -1001173, 387169956]$ |
\(y^2+y=x^3-x^2-1001173x+387169956\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 66.8.0-3.a.1.1, 1254.16.0.? |
$[(564, 1263)]$ |
83391.i2 |
83391g1 |
83391.i |
83391g |
$2$ |
$3$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{2} \cdot 11 \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1254$ |
$16$ |
$0$ |
$1.312324747$ |
$1$ |
|
$0$ |
$362880$ |
$1.691584$ |
$49836032000/99819027$ |
$[0, -1, 1, 27677, 2771019]$ |
\(y^2+y=x^3-x^2+27677x+2771019\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 66.8.0-3.a.1.2, 1254.16.0.? |
$[(1173/2, 48009/2)]$ |
83391.j1 |
83391c1 |
83391.j |
83391c |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{11} \cdot 7^{3} \cdot 11 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8778$ |
$2$ |
$0$ |
$3.142862947$ |
$1$ |
|
$2$ |
$950400$ |
$2.129459$ |
$69203793903616/12699136989$ |
$[0, -1, 1, -308775, 54677765]$ |
\(y^2+y=x^3-x^2-308775x+54677765\) |
8778.2.0.? |
$[(-595, 5234)]$ |
83391.k1 |
83391d1 |
83391.k |
83391d |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{2} \cdot 7 \cdot 11^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$154$ |
$2$ |
$0$ |
$1.031988976$ |
$1$ |
|
$4$ |
$30240$ |
$0.436282$ |
$438908059648/83853$ |
$[0, -1, 1, -1127, -14191]$ |
\(y^2+y=x^3-x^2-1127x-14191\) |
154.2.0.? |
$[(-19, 1)]$ |
83391.l1 |
83391n1 |
83391.l |
83391n |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{8} \cdot 7 \cdot 11 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$154$ |
$2$ |
$0$ |
$0.982296566$ |
$1$ |
|
$4$ |
$31104$ |
$0.546953$ |
$1216000000000/505197$ |
$[0, 1, 1, -1583, -24769]$ |
\(y^2+y=x^3+x^2-1583x-24769\) |
154.2.0.? |
$[(-23, 1)]$ |
83391.m1 |
83391q1 |
83391.m |
83391q |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3 \cdot 7 \cdot 11 \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8778$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$74880$ |
$0.880004$ |
$16777216/4389$ |
$[0, 1, 1, -1925, -24712]$ |
\(y^2+y=x^3+x^2-1925x-24712\) |
8778.2.0.? |
$[]$ |
83391.n1 |
83391o1 |
83391.n |
83391o |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{2} \cdot 7 \cdot 11^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$154$ |
$2$ |
$0$ |
$2.657304193$ |
$1$ |
|
$2$ |
$574560$ |
$1.908503$ |
$438908059648/83853$ |
$[0, 1, 1, -406967, 99775904]$ |
\(y^2+y=x^3+x^2-406967x+99775904\) |
154.2.0.? |
$[(352, 511)]$ |
83391.o1 |
83391h4 |
83391.o |
83391h |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{3} \cdot 7^{4} \cdot 11 \cdot 19^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$35112$ |
$48$ |
$0$ |
$20.88870806$ |
$1$ |
|
$2$ |
$2488320$ |
$2.467617$ |
$3015048057243061393/13548843$ |
$[1, 1, 0, -10865024, 13780073217]$ |
\(y^2+xy=x^3+x^2-10865024x+13780073217\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 1064.24.0.?, 1848.24.0.?, 2508.24.0.?, $\ldots$ |
$[(22668579571/490, 3405417447095861/490)]$ |
83391.o2 |
83391h3 |
83391.o |
83391h |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{12} \cdot 7 \cdot 11^{4} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$35112$ |
$48$ |
$0$ |
$20.88870806$ |
$1$ |
|
$0$ |
$2488320$ |
$2.467617$ |
$1827347754908593/1034850081573$ |
$[1, 1, 0, -919474, 49274323]$ |
\(y^2+xy=x^3+x^2-919474x+49274323\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 266.6.0.?, 532.24.0.?, 1848.24.0.?, $\ldots$ |
$[(12922295099/370, 1466501695972817/370)]$ |
83391.o3 |
83391h2 |
83391.o |
83391h |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$17556$ |
$48$ |
$0$ |
$10.44435403$ |
$1$ |
|
$2$ |
$1244160$ |
$2.121044$ |
$737219801902753/1560329001$ |
$[1, 1, 0, -679409, 214871160]$ |
\(y^2+xy=x^3+x^2-679409x+214871160\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 532.24.0.?, 924.24.0.?, 2508.24.0.?, $\ldots$ |
$[(674248/37, -4474828/37)]$ |
83391.o4 |
83391h1 |
83391.o |
83391h |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{3} \cdot 7 \cdot 11 \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$35112$ |
$48$ |
$0$ |
$20.88870806$ |
$1$ |
|
$1$ |
$622080$ |
$1.774469$ |
$-50529889873/270937359$ |
$[1, 1, 0, -27804, 5705955]$ |
\(y^2+xy=x^3+x^2-27804x+5705955\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 462.6.0.?, 532.12.0.?, $\ldots$ |
$[(-738025270/1813, 5627524197415/1813)]$ |
83391.p1 |
83391r6 |
83391.p |
83391r |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{8} \cdot 7 \cdot 11^{2} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$70224$ |
$192$ |
$1$ |
$1.906369246$ |
$1$ |
|
$8$ |
$1105920$ |
$2.095009$ |
$10206027697760497/5557167$ |
$[1, 0, 1, -1631367, 801865639]$ |
\(y^2+xy+y=x^3-1631367x+801865639\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0.h.1, 48.24.0.e.2, $\ldots$ |
$[(731, -69), (5003/2, 209427/2)]$ |
83391.p2 |
83391r4 |
83391.p |
83391r |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 11^{4} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$35112$ |
$192$ |
$1$ |
$7.625476987$ |
$1$ |
|
$8$ |
$552960$ |
$1.748436$ |
$2533811507137/58110129$ |
$[1, 0, 1, -102532, 12375245]$ |
\(y^2+xy+y=x^3-102532x+12375245\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.1, 28.24.0.c.1, 76.24.0.?, $\ldots$ |
$[(-65, 4364), (79, 2144)]$ |
83391.p3 |
83391r2 |
83391.p |
83391r |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 11^{2} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$35112$ |
$192$ |
$1$ |
$7.625476987$ |
$1$ |
|
$10$ |
$276480$ |
$1.401863$ |
$6570725617/2614689$ |
$[1, 0, 1, -14087, -360835]$ |
\(y^2+xy+y=x^3-14087x-360835\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 56.24.0.m.1, 76.24.0.?, $\ldots$ |
$[(149, 849), (10005, 995689)]$ |
83391.p4 |
83391r1 |
83391.p |
83391r |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3 \cdot 7^{2} \cdot 11 \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$70224$ |
$192$ |
$1$ |
$30.50190794$ |
$1$ |
|
$3$ |
$138240$ |
$1.055288$ |
$4354703137/1617$ |
$[1, 0, 1, -12282, -524729]$ |
\(y^2+xy+y=x^3-12282x-524729\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.e.1, 66.6.0.a.1, $\ldots$ |
$[(511, 11000), (22519/3, 3342280/3)]$ |
83391.p5 |
83391r5 |
83391.p |
83391r |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{2} \cdot 7 \cdot 11^{8} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$70224$ |
$192$ |
$1$ |
$30.50190794$ |
$1$ |
|
$0$ |
$1105920$ |
$2.095009$ |
$3288008303/13504609503$ |
$[1, 0, 1, 11183, 38347751]$ |
\(y^2+xy+y=x^3+11183x+38347751\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 24.24.0.bz.2, $\ldots$ |
$[(139/2, 49675/2), (1399/2, 72385/2)]$ |
83391.p6 |
83391r3 |
83391.p |
83391r |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3 \cdot 7^{8} \cdot 11 \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$70224$ |
$192$ |
$1$ |
$7.625476987$ |
$1$ |
|
$2$ |
$552960$ |
$1.748436$ |
$221115865823/190238433$ |
$[1, 0, 1, 45478, -2600479]$ |
\(y^2+xy+y=x^3+45478x-2600479\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bz.1, 76.12.0.?, $\ldots$ |
$[(353, 7404), (8377/9, 1268398/9)]$ |
83391.q1 |
83391p1 |
83391.q |
83391p |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{5} \cdot 11 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17556$ |
$2$ |
$0$ |
$0.440758773$ |
$1$ |
|
$2$ |
$57600$ |
$0.709723$ |
$6869835701/4991679$ |
$[1, 0, 1, 752, 4079]$ |
\(y^2+xy+y=x^3+752x+4079\) |
17556.2.0.? |
$[(49, 374)]$ |
83391.r1 |
83391m2 |
83391.r |
83391m |
$2$ |
$5$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3 \cdot 7 \cdot 11^{5} \cdot 19^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$43890$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$9360000$ |
$2.902351$ |
$15985030403346927616/8374342621029$ |
$[0, -1, 1, -18945400, 31731716595]$ |
\(y^2+y=x^3-x^2-18945400x+31731716595\) |
5.12.0.a.2, 95.24.0.?, 2310.24.0.?, 8778.2.0.?, 43890.48.1.? |
$[]$ |
83391.r2 |
83391m1 |
83391.r |
83391m |
$2$ |
$5$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{5} \cdot 7^{5} \cdot 11 \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$43890$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1872000$ |
$2.097630$ |
$723570336280576/853577109$ |
$[0, -1, 1, -675190, -213101205]$ |
\(y^2+y=x^3-x^2-675190x-213101205\) |
5.12.0.a.1, 95.24.0.?, 2310.24.0.?, 8778.2.0.?, 43890.48.1.? |
$[]$ |
83391.s1 |
83391t1 |
83391.s |
83391t |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{3} \cdot 7 \cdot 11^{5} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8778$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2553600$ |
$2.344078$ |
$81520685056/30438639$ |
$[0, 1, 1, -619596, 111607679]$ |
\(y^2+y=x^3+x^2-619596x+111607679\) |
8778.2.0.? |
$[]$ |
83391.t1 |
83391s1 |
83391.t |
83391s |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{7} \cdot 7 \cdot 11 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8778$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1330560$ |
$1.940182$ |
$9061356040192/1155048741$ |
$[0, 1, 1, -156794, 21049385]$ |
\(y^2+y=x^3+x^2-156794x+21049385\) |
8778.2.0.? |
$[]$ |