| 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 |
| 68970.a1 |
68970h1 |
68970.a |
68970h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 11^{8} \cdot 19^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.257099316$ |
$1$ |
|
$4$ |
$3548160$ |
$2.678543$ |
$11471891565431/3249137107800$ |
$1.00458$ |
$4.97649$ |
$[1, 1, 0, 281202, 1268553708]$ |
\(y^2+xy=x^3+x^2+281202x+1268553708\) |
152.2.0.? |
$[(5979, 462558)]$ |
| 68970.b1 |
68970g1 |
68970.b |
68970g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{19} \cdot 3^{2} \cdot 5^{8} \cdot 11^{4} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$5.139431744$ |
$1$ |
|
$2$ |
$5078016$ |
$2.770443$ |
$-5531219079301909346089/12642508800000000$ |
$1.02458$ |
$5.35481$ |
$[1, 1, 0, -9013413, -10439850483]$ |
\(y^2+xy=x^3+x^2-9013413x-10439850483\) |
152.2.0.? |
$[(50871, 11428002)]$ |
| 68970.c1 |
68970f1 |
68970.c |
68970f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{11} \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.548816013$ |
$1$ |
|
$4$ |
$152064$ |
$1.093735$ |
$37579769391791/28445644800$ |
$0.94380$ |
$3.23597$ |
$[1, 1, 0, 3452, 44752]$ |
\(y^2+xy=x^3+x^2+3452x+44752\) |
152.2.0.? |
$[(31, 412)]$ |
| 68970.d1 |
68970b1 |
68970.d |
68970b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{15} \cdot 3^{13} \cdot 5^{7} \cdot 11^{10} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2280$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49008960$ |
$4.040520$ |
$-4930125119275609518529/77547870720000000$ |
$1.02446$ |
$6.63788$ |
$[1, 1, 0, -1049591633, 13264402599573]$ |
\(y^2+xy=x^3+x^2-1049591633x+13264402599573\) |
2280.2.0.? |
$[]$ |
| 68970.e1 |
68970e4 |
68970.e |
68970e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2 \cdot 3 \cdot 5^{8} \cdot 11^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$5016$ |
$48$ |
$0$ |
$2.379064230$ |
$1$ |
|
$4$ |
$327680$ |
$1.561865$ |
$26487576322129/44531250$ |
$0.96284$ |
$4.06546$ |
$[1, 1, 0, -75143, 7885563]$ |
\(y^2+xy=x^3+x^2-75143x+7885563\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 88.24.0.?, 456.24.0.?, $\ldots$ |
$[(193, 690)]$ |
| 68970.e2 |
68970e2 |
68970.e |
68970e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$5016$ |
$48$ |
$0$ |
$1.189532115$ |
$1$ |
|
$12$ |
$163840$ |
$1.215292$ |
$14688124849/8122500$ |
$0.96350$ |
$3.39253$ |
$[1, 1, 0, -6173, 36777]$ |
\(y^2+xy=x^3+x^2-6173x+36777\) |
2.6.0.a.1, 8.12.0.b.1, 44.12.0-2.a.1.1, 88.24.0.?, 228.12.0.?, $\ldots$ |
$[(-44, 497)]$ |
| 68970.e3 |
68970e1 |
68970.e |
68970e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$5016$ |
$48$ |
$0$ |
$2.379064230$ |
$1$ |
|
$5$ |
$81920$ |
$0.868718$ |
$3301293169/22800$ |
$0.89080$ |
$3.25855$ |
$[1, 1, 0, -3753, -89547]$ |
\(y^2+xy=x^3+x^2-3753x-89547\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$ |
$[(-34, 3)]$ |
| 68970.e4 |
68970e3 |
68970.e |
68970e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 3^{4} \cdot 5^{2} \cdot 11^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$5016$ |
$48$ |
$0$ |
$0.594766057$ |
$1$ |
|
$8$ |
$327680$ |
$1.561865$ |
$871257511151/527800050$ |
$0.99326$ |
$3.75900$ |
$[1, 1, 0, 24077, 321127]$ |
\(y^2+xy=x^3+x^2+24077x+321127\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$ |
$[(39, 1130)]$ |
| 68970.f1 |
68970c4 |
68970.f |
68970c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 11^{10} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$737280$ |
$1.941832$ |
$7489156350944449/901299960$ |
$0.98106$ |
$4.57209$ |
$[1, 1, 0, -493198, -133507172]$ |
\(y^2+xy=x^3+x^2-493198x-133507172\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
| 68970.f2 |
68970c3 |
68970.f |
68970c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{3} \cdot 3 \cdot 5^{4} \cdot 11^{7} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$737280$ |
$1.941832$ |
$449613538734529/21502965000$ |
$0.91642$ |
$4.31962$ |
$[1, 1, 0, -193118, 31205772]$ |
\(y^2+xy=x^3+x^2-193118x+31205772\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
| 68970.f3 |
68970c2 |
68970.f |
68970c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11^{8} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$25080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$368640$ |
$1.595259$ |
$2325676477249/629006400$ |
$0.88548$ |
$3.84712$ |
$[1, 1, 0, -33398, -1728492]$ |
\(y^2+xy=x^3+x^2-33398x-1728492\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 264.24.0.?, 760.12.0.?, $\ldots$ |
$[]$ |
| 68970.f4 |
68970c1 |
68970.f |
68970c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3 \cdot 5 \cdot 11^{7} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$184320$ |
$1.248684$ |
$9407293631/12840960$ |
$0.84978$ |
$3.38006$ |
$[1, 1, 0, 5322, -171948]$ |
\(y^2+xy=x^3+x^2+5322x-171948\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
| 68970.g1 |
68970a2 |
68970.g |
68970a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 11^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4180$ |
$12$ |
$0$ |
$15.37335752$ |
$1$ |
|
$0$ |
$5406720$ |
$2.927944$ |
$2259741076336189979/12126827520$ |
$0.98829$ |
$5.73022$ |
$[1, 1, 0, -36387848, -84500367552]$ |
\(y^2+xy=x^3+x^2-36387848x-84500367552\) |
2.3.0.a.1, 220.6.0.?, 380.6.0.?, 836.6.0.?, 4180.12.0.? |
$[(34374293/49, 178711977170/49)]$ |
| 68970.g2 |
68970a1 |
68970.g |
68970a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{2} \cdot 11^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4180$ |
$12$ |
$0$ |
$7.686678761$ |
$1$ |
|
$3$ |
$2703360$ |
$2.581371$ |
$581325709271579/40343961600$ |
$0.94933$ |
$4.98835$ |
$[1, 1, 0, -2314248, -1272192192]$ |
\(y^2+xy=x^3+x^2-2314248x-1272192192\) |
2.3.0.a.1, 220.6.0.?, 380.6.0.?, 418.6.0.?, 4180.12.0.? |
$[(13749, 1595058)]$ |
| 68970.h1 |
68970d1 |
68970.h |
68970d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3^{2} \cdot 5^{2} \cdot 11^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$878592$ |
$1.936737$ |
$-18719599019209/35020800$ |
$0.91473$ |
$4.46505$ |
$[1, 1, 0, -331058, -73573452]$ |
\(y^2+xy=x^3+x^2-331058x-73573452\) |
152.2.0.? |
$[]$ |
| 68970.i1 |
68970p1 |
68970.i |
68970p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{14} \cdot 5^{6} \cdot 11^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1.885512842$ |
$1$ |
|
$2$ |
$8870400$ |
$3.076042$ |
$-11335027914992789161/45438205500000$ |
$0.98588$ |
$5.66036$ |
$[1, 1, 0, -28007872, 57237247456]$ |
\(y^2+xy=x^3+x^2-28007872x+57237247456\) |
152.2.0.? |
$[(2167, 80929)]$ |
| 68970.j1 |
68970o4 |
68970.j |
68970o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{5} \cdot 5 \cdot 11^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25080$ |
$48$ |
$0$ |
$16.82743955$ |
$4$ |
$2$ |
$0$ |
$5529600$ |
$2.686436$ |
$13209596798923694545921/92340$ |
$1.04393$ |
$5.86304$ |
$[1, 1, 0, -59590082, -177080195376]$ |
\(y^2+xy=x^3+x^2-59590082x-177080195376\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 152.12.0.?, $\ldots$ |
$[(16578025/29, 61016441323/29)]$ |
| 68970.j2 |
68970o3 |
68970.j |
68970o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 11^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25080$ |
$48$ |
$0$ |
$4.206859888$ |
$1$ |
|
$4$ |
$5529600$ |
$2.686436$ |
$3345930611358906241/165622259047500$ |
$1.08127$ |
$5.11978$ |
$[1, 1, 0, -3770362, -2696245064]$ |
\(y^2+xy=x^3+x^2-3770362x-2696245064\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 76.12.0.?, 120.12.0.?, $\ldots$ |
$[(2382, 41764)]$ |
| 68970.j3 |
68970o2 |
68970.j |
68970o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 11^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12540$ |
$48$ |
$0$ |
$8.413719777$ |
$1$ |
|
$4$ |
$2764800$ |
$2.339863$ |
$3225005357698077121/8526675600$ |
$1.01809$ |
$5.11648$ |
$[1, 1, 0, -3724382, -2768038236]$ |
\(y^2+xy=x^3+x^2-3724382x-2768038236\) |
2.6.0.a.1, 44.12.0-2.a.1.1, 60.12.0.b.1, 76.12.0.?, 660.24.0.?, $\ldots$ |
$[(19048, 2605406)]$ |
| 68970.j4 |
68970o1 |
68970.j |
68970o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5 \cdot 11^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25080$ |
$48$ |
$0$ |
$16.82743955$ |
$1$ |
|
$1$ |
$1382400$ |
$1.993288$ |
$-758575480593601/40535043840$ |
$0.98308$ |
$4.37450$ |
$[1, 1, 0, -229902, -44440524]$ |
\(y^2+xy=x^3+x^2-229902x-44440524\) |
2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 44.12.0-4.c.1.2, 60.12.0.g.1, $\ldots$ |
$[(76799420/127, 664685641798/127)]$ |
| 68970.k1 |
68970q1 |
68970.k |
68970q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{25} \cdot 3^{14} \cdot 5^{4} \cdot 11^{4} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7257600$ |
$2.996384$ |
$3292939724890125839639/1905816470814720000$ |
$1.13120$ |
$5.30791$ |
$[1, 1, 0, 7582463, 81276661]$ |
\(y^2+xy=x^3+x^2+7582463x+81276661\) |
152.2.0.? |
$[]$ |
| 68970.l1 |
68970k1 |
68970.l |
68970k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$5.865240700$ |
$1$ |
|
$2$ |
$8870400$ |
$3.174606$ |
$-7424865923464408587656521/33363583883827200$ |
$1.04373$ |
$6.00089$ |
$[1, 1, 0, -99428727, 381566704149]$ |
\(y^2+xy=x^3+x^2-99428727x+381566704149\) |
152.2.0.? |
$[(6285, 67368)]$ |
| 68970.m1 |
68970j1 |
68970.m |
68970j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{23} \cdot 3^{6} \cdot 5^{5} \cdot 11^{10} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$760$ |
$2$ |
$0$ |
$19.67909490$ |
$1$ |
|
$0$ |
$37160640$ |
$3.962883$ |
$4693907404762135439/131077531238400000$ |
$1.04386$ |
$6.35711$ |
$[1, 1, 0, 103255348, -2776077721776]$ |
\(y^2+xy=x^3+x^2+103255348x-2776077721776\) |
760.2.0.? |
$[(6548820647/97, 529699048285388/97)]$ |
| 68970.n1 |
68970m2 |
68970.n |
68970m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1.637460298$ |
$1$ |
|
$4$ |
$138240$ |
$0.902521$ |
$2992209121/54150$ |
$0.89013$ |
$3.24973$ |
$[1, 1, 0, -3632, 81426]$ |
\(y^2+xy=x^3+x^2-3632x+81426\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(7, 234)]$ |
| 68970.n2 |
68970m1 |
68970.n |
68970m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.818730149$ |
$1$ |
|
$7$ |
$69120$ |
$0.555947$ |
$-1/3420$ |
$1.10256$ |
$2.69081$ |
$[1, 1, 0, -2, 3744]$ |
\(y^2+xy=x^3+x^2-2x+3744\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[(-5, 63)]$ |
| 68970.o1 |
68970l1 |
68970.o |
68970l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 11^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1672$ |
$12$ |
$0$ |
$2.684145938$ |
$1$ |
|
$5$ |
$1935360$ |
$2.268730$ |
$5489125095409201/2330634240000$ |
$0.94667$ |
$4.54420$ |
$[1, 1, 0, -444677, 58713549]$ |
\(y^2+xy=x^3+x^2-444677x+58713549\) |
2.3.0.a.1, 8.6.0.d.1, 418.6.0.?, 1672.12.0.? |
$[(743, 11426)]$ |
| 68970.o2 |
68970l2 |
68970.o |
68970l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{7} \cdot 3^{4} \cdot 5^{2} \cdot 11^{12} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1672$ |
$12$ |
$0$ |
$5.368291876$ |
$1$ |
|
$2$ |
$3870720$ |
$2.615303$ |
$207053365326094799/165767088643200$ |
$0.96880$ |
$4.87003$ |
$[1, 1, 0, 1491323, 434684749]$ |
\(y^2+xy=x^3+x^2+1491323x+434684749\) |
2.3.0.a.1, 8.6.0.a.1, 836.6.0.?, 1672.12.0.? |
$[(103, 24226)]$ |
| 68970.p1 |
68970n1 |
68970.p |
68970n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{7} \cdot 3^{2} \cdot 5 \cdot 11^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$760$ |
$2$ |
$0$ |
$5.621311406$ |
$1$ |
|
$2$ |
$369600$ |
$1.521564$ |
$-234046560121/109440$ |
$0.87968$ |
$4.07154$ |
$[1, 1, 0, -76837, -8233331]$ |
\(y^2+xy=x^3+x^2-76837x-8233331\) |
760.2.0.? |
$[(11545, 1234417)]$ |
| 68970.q1 |
68970i1 |
68970.q |
68970i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{2} \cdot 11^{3} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8360$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$668160$ |
$1.653269$ |
$1409791893399845171/1795089600$ |
$1.04549$ |
$4.39653$ |
$[1, 1, 0, -256962, 50029236]$ |
\(y^2+xy=x^3+x^2-256962x+50029236\) |
2.3.0.a.1, 418.6.0.?, 440.6.0.?, 760.6.0.?, 8360.12.0.? |
$[]$ |
| 68970.q2 |
68970i2 |
68970.q |
68970i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{3} \cdot 3^{20} \cdot 5 \cdot 11^{3} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8360$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1336320$ |
$1.999842$ |
$-1373890970207112371/50349166750440$ |
$1.04614$ |
$4.39973$ |
$[1, 1, 0, -254762, 50930796]$ |
\(y^2+xy=x^3+x^2-254762x+50930796\) |
2.3.0.a.1, 440.6.0.?, 760.6.0.?, 836.6.0.?, 8360.12.0.? |
$[]$ |
| 68970.r1 |
68970bc1 |
68970.r |
68970bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{9} \cdot 3^{2} \cdot 5^{4} \cdot 11^{4} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$0.963047$ |
$-14235529/54720000$ |
$1.08346$ |
$3.12924$ |
$[1, 0, 1, -124, -43078]$ |
\(y^2+xy+y=x^3-124x-43078\) |
152.2.0.? |
$[]$ |
| 68970.s1 |
68970y2 |
68970.s |
68970y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2 \cdot 3^{7} \cdot 5^{2} \cdot 11^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.587242095$ |
$1$ |
|
$10$ |
$1433600$ |
$2.167019$ |
$1403607530712116449/39475350$ |
$1.20544$ |
$5.04181$ |
$[1, 0, 1, -2822449, 1824866822]$ |
\(y^2+xy+y=x^3-2822449x+1824866822\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(946, 809)]$ |
| 68970.s2 |
68970y1 |
68970.s |
68970y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{14} \cdot 5 \cdot 11^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.293621047$ |
$1$ |
|
$13$ |
$716800$ |
$1.820444$ |
$-341370886042369/1817528220$ |
$1.07626$ |
$4.29573$ |
$[1, 0, 1, -176179, 28578746]$ |
\(y^2+xy+y=x^3-176179x+28578746\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[(406, 4697)]$ |
| 68970.t1 |
68970s2 |
68970.t |
68970s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{16} \cdot 5 \cdot 11^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4180$ |
$12$ |
$0$ |
$1.376511732$ |
$1$ |
|
$6$ |
$3514368$ |
$2.729420$ |
$2185814337196139/310797325620$ |
$0.95882$ |
$5.10723$ |
$[1, 0, 1, -3598664, -2282383798]$ |
\(y^2+xy+y=x^3-3598664x-2282383798\) |
2.3.0.a.1, 220.6.0.?, 380.6.0.?, 836.6.0.?, 4180.12.0.? |
$[(-837, 12397)]$ |
| 68970.t2 |
68970s1 |
68970.t |
68970s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 11^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4180$ |
$12$ |
$0$ |
$2.753023464$ |
$1$ |
|
$5$ |
$1757184$ |
$2.382847$ |
$1952140790365739/49863600$ |
$0.95454$ |
$5.09708$ |
$[1, 0, 1, -3465564, -2483418038]$ |
\(y^2+xy+y=x^3-3465564x-2483418038\) |
2.3.0.a.1, 220.6.0.?, 380.6.0.?, 418.6.0.?, 4180.12.0.? |
$[(-1075, 771)]$ |
| 68970.u1 |
68970w2 |
68970.u |
68970w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2 \cdot 3^{3} \cdot 5^{10} \cdot 11^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$7.382517853$ |
$1$ |
|
$0$ |
$2764800$ |
$2.606144$ |
$4199221866816810289/23034902343750$ |
$0.96421$ |
$5.14017$ |
$[1, 0, 1, -4066934, -3142153654]$ |
\(y^2+xy+y=x^3-4066934x-3142153654\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(13031/2, 1065801/2)]$ |
| 68970.u2 |
68970w1 |
68970.u |
68970w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{5} \cdot 11^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$3.691258926$ |
$1$ |
|
$3$ |
$1382400$ |
$2.259571$ |
$-92155535561809/2534906137500$ |
$0.96149$ |
$4.52582$ |
$[1, 0, 1, -113864, -103033438]$ |
\(y^2+xy+y=x^3-113864x-103033438\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[(2925, 155353)]$ |
| 68970.v1 |
68970x4 |
68970.v |
68970x |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{18} \cdot 11^{6} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$24.78549595$ |
$1$ |
|
$0$ |
$18662400$ |
$3.465305$ |
$10993009831928446009969/3767761230468750000$ |
$1.05315$ |
$5.84655$ |
$[1, 0, 1, -56050954, -103141949044]$ |
\(y^2+xy+y=x^3-56050954x-103141949044\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0.t.1, $\ldots$ |
$[(-1747148707775/16717, 267409060681298921/16717)]$ |
| 68970.v2 |
68970x2 |
68970.v |
68970x |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 11^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$8.261831983$ |
$1$ |
|
$0$ |
$6220800$ |
$2.916000$ |
$7903870428425797297009/886464000000$ |
$1.04255$ |
$5.81694$ |
$[1, 0, 1, -50213914, -136961166388]$ |
\(y^2+xy+y=x^3-50213914x-136961166388\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0.t.1, $\ldots$ |
$[(1003861/11, 170554099/11)]$ |
| 68970.v3 |
68970x1 |
68970.v |
68970x |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 11^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$16.52366396$ |
$1$ |
|
$1$ |
$3110400$ |
$2.569427$ |
$-1914980734749238129/20440940544000$ |
$1.01640$ |
$5.07133$ |
$[1, 0, 1, -3130394, -2151631924]$ |
\(y^2+xy+y=x^3-3130394x-2151631924\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 33.8.0-3.a.1.2, $\ldots$ |
$[(1491595896/67, 57556435073764/67)]$ |
| 68970.v4 |
68970x3 |
68970.v |
68970x |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3 \cdot 5^{9} \cdot 11^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$49.57099190$ |
$1$ |
|
$1$ |
$9331200$ |
$3.118732$ |
$69096190760262356111/70568821500000000$ |
$1.04449$ |
$5.39154$ |
$[1, 0, 1, 10344166, -11197986868]$ |
\(y^2+xy+y=x^3+10344166x-11197986868\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 33.8.0-3.a.1.1, $\ldots$ |
$[(3784758439714455913781/1917757523, 159827311482014460795537600398955/1917757523)]$ |
| 68970.w1 |
68970ba1 |
68970.w |
68970ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{7} \cdot 3 \cdot 5 \cdot 11^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2280$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221760$ |
$1.238312$ |
$-809160649/36480$ |
$0.82101$ |
$3.56953$ |
$[1, 0, 1, -11619, 499486]$ |
\(y^2+xy+y=x^3-11619x+499486\) |
2280.2.0.? |
$[]$ |
| 68970.x1 |
68970z1 |
68970.x |
68970z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 3^{22} \cdot 5 \cdot 11^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$760$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4530240$ |
$2.733826$ |
$2411938489959911/5962401325710$ |
$0.96895$ |
$5.00723$ |
$[1, 0, 1, 1672096, 1505447876]$ |
\(y^2+xy+y=x^3+1672096x+1505447876\) |
760.2.0.? |
$[]$ |
| 68970.y1 |
68970t2 |
68970.y |
68970t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$1.517649939$ |
$1$ |
|
$2$ |
$82944$ |
$0.868225$ |
$-652007198689/1929093750$ |
$0.92052$ |
$3.03457$ |
$[1, 0, 1, -894, 25342]$ |
\(y^2+xy+y=x^3-894x+25342\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 152.2.0.?, 456.8.0.?, 5016.16.0.? |
$[(-14, 194)]$ |
| 68970.y2 |
68970t1 |
68970.y |
68970t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$0.505883313$ |
$1$ |
|
$4$ |
$27648$ |
$0.318919$ |
$820803071/2770200$ |
$0.86269$ |
$2.41413$ |
$[1, 0, 1, 96, -794]$ |
\(y^2+xy+y=x^3+96x-794\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 152.2.0.?, 456.8.0.?, 5016.16.0.? |
$[(8, 18)]$ |
| 68970.z1 |
68970r2 |
68970.z |
68970r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{7} \cdot 11^{3} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4180$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6193152$ |
$2.861046$ |
$522741368615530635369539/96458757887812500$ |
$1.02936$ |
$5.54750$ |
$[1, 0, 1, -18460654, -30526102444]$ |
\(y^2+xy+y=x^3-18460654x-30526102444\) |
2.3.0.a.1, 220.6.0.?, 380.6.0.?, 836.6.0.?, 4180.12.0.? |
$[]$ |
| 68970.z2 |
68970r1 |
68970.z |
68970r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{14} \cdot 11^{3} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4180$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3096576$ |
$2.514473$ |
$171469934851410369539/54255761718750000$ |
$1.01340$ |
$4.82744$ |
$[1, 0, 1, -1273154, -372352444]$ |
\(y^2+xy+y=x^3-1273154x-372352444\) |
2.3.0.a.1, 220.6.0.?, 380.6.0.?, 418.6.0.?, 4180.12.0.? |
$[]$ |
| 68970.ba1 |
68970u1 |
68970.ba |
68970u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{4} \cdot 11^{7} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1672$ |
$12$ |
$0$ |
$2.219626686$ |
$1$ |
|
$5$ |
$3317760$ |
$2.678677$ |
$1587074323222816849/224665436160000$ |
$0.96282$ |
$5.05284$ |
$[1, 0, 1, -2940424, 1686491222]$ |
\(y^2+xy+y=x^3-2940424x+1686491222\) |
2.3.0.a.1, 8.6.0.d.1, 418.6.0.?, 1672.12.0.? |
$[(169, 34475)]$ |
| 68970.ba2 |
68970u2 |
68970.ba |
68970u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{9} \cdot 3^{16} \cdot 5^{2} \cdot 11^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1672$ |
$12$ |
$0$ |
$1.109813343$ |
$1$ |
|
$6$ |
$6635520$ |
$3.025249$ |
$6919293138571999151/24068144896012800$ |
$0.98850$ |
$5.32964$ |
$[1, 0, 1, 4803576, 9071169622]$ |
\(y^2+xy+y=x^3+4803576x+9071169622\) |
2.3.0.a.1, 8.6.0.a.1, 836.6.0.?, 1672.12.0.? |
$[(-694, 73854)]$ |
| 68970.bb1 |
68970v2 |
68970.bb |
68970v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$24.81305102$ |
$1$ |
|
$0$ |
$1105920$ |
$2.081764$ |
$410717520667800289/26208600$ |
$0.95336$ |
$4.93151$ |
$[1, 0, 1, -1873809, -987426068]$ |
\(y^2+xy+y=x^3-1873809x-987426068\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(450460035814/16165, 123499432131433358/16165)]$ |
