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 |
470106.a1 |
470106a2 |
470106.a |
470106a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{5} \cdot 3^{8} \cdot 7^{9} \cdot 13 \cdot 41^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$29848$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$68812800$ |
$2.910515$ |
$880383068833632967/6293664$ |
$0.95039$ |
$5.00922$ |
$[1, -1, 0, -61638579, 186278601109]$ |
\(y^2+xy=x^3-x^2-61638579x+186278601109\) |
2.3.0.a.1, 728.6.0.?, 1148.6.0.?, 4264.6.0.?, 29848.12.0.? |
$[]$ |
470106.a2 |
470106a1 |
470106.a |
470106a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{10} \cdot 3^{10} \cdot 7^{9} \cdot 13^{2} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$29848$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$34406400$ |
$2.563942$ |
$-214523775848647/574718976$ |
$0.90311$ |
$4.37257$ |
$[1, -1, 0, -3849939, 2915246389]$ |
\(y^2+xy=x^3-x^2-3849939x+2915246389\) |
2.3.0.a.1, 574.6.0.?, 728.6.0.?, 4264.6.0.?, 29848.12.0.? |
$[]$ |
470106.b1 |
470106b1 |
470106.b |
470106b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{20} \cdot 13^{5} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$3.323173232$ |
$1$ |
|
$2$ |
$3674603520$ |
$5.106689$ |
$187536845211756879082380654673/18269088231048308260798464$ |
$1.01982$ |
$6.55944$ |
$[1, -1, 0, -52588754766, -4233117764284844]$ |
\(y^2+xy=x^3-x^2-52588754766x-4233117764284844\) |
6396.2.0.? |
$[(-162580, 4484234)]$ |
470106.c1 |
470106c2 |
470106.c |
470106c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{13} \cdot 3^{9} \cdot 7^{7} \cdot 13^{3} \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$172.1956823$ |
$1$ |
|
$0$ |
$3610054656$ |
$5.260590$ |
$-2224778660867235879101476628566993/16157901081011429376$ |
$1.03758$ |
$7.27771$ |
$[1, -1, 0, -1199387786886, -505576977601633484]$ |
\(y^2+xy=x^3-x^2-1199387786886x-505576977601633484\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 312.8.0.?, 2184.16.0.? |
$[(472578686964630391008865178256379857149945150897057441111228467750393109227487/97218807195261678321824394044495479, 324769619557682907356694129693585003433442045413743041691862274415297676078414696141610216697775115382158734145484239/97218807195261678321824394044495479)]$ |
470106.c2 |
470106c1 |
470106.c |
470106c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{39} \cdot 3^{15} \cdot 7^{9} \cdot 13 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$57.39856077$ |
$1$ |
|
$0$ |
$1203351552$ |
$4.711281$ |
$-4128223528775369483123266513/81108488685750967074816$ |
$1.00950$ |
$6.26981$ |
$[1, -1, 0, -14738448006, -700282613316812]$ |
\(y^2+xy=x^3-x^2-14738448006x-700282613316812\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 312.8.0.?, 2184.16.0.? |
$[(125143802698857649206136799/23108467319, 1150630736576852835618245251336809404296/23108467319)]$ |
470106.d1 |
470106d1 |
470106.d |
470106d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{14} \cdot 3^{9} \cdot 7^{8} \cdot 13 \cdot 41^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3198$ |
$2$ |
$0$ |
$1.634808722$ |
$1$ |
|
$10$ |
$29465856$ |
$2.792400$ |
$-65916585060291/14679621632$ |
$0.92754$ |
$4.41016$ |
$[1, -1, 0, -4074261, 3725955701]$ |
\(y^2+xy=x^3-x^2-4074261x+3725955701\) |
3198.2.0.? |
$[(-326, 71011), (-1433, 82081)]$ |
470106.e1 |
470106e1 |
470106.e |
470106e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{9} \cdot 7^{8} \cdot 13 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3198$ |
$2$ |
$0$ |
$12.63124609$ |
$1$ |
|
$0$ |
$4241664$ |
$1.792873$ |
$-20771523171/2132$ |
$0.80811$ |
$3.76793$ |
$[1, -1, 0, -277251, -56125567]$ |
\(y^2+xy=x^3-x^2-277251x-56125567\) |
3198.2.0.? |
$[(395954/11, 243497997/11)]$ |
470106.f1 |
470106f1 |
470106.f |
470106f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{6} \cdot 3^{7} \cdot 7^{2} \cdot 13 \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3198$ |
$2$ |
$0$ |
$1.494094853$ |
$1$ |
|
$12$ |
$313344$ |
$0.523770$ |
$155316287/102336$ |
$0.78810$ |
$2.24677$ |
$[1, -1, 0, 369, -1107]$ |
\(y^2+xy=x^3-x^2+369x-1107\) |
3198.2.0.? |
$[(6, 33), (3, 3)]$ |
470106.g1 |
470106g1 |
470106.g |
470106g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{10} \cdot 3^{13} \cdot 7^{6} \cdot 13 \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$1.880914260$ |
$1$ |
|
$10$ |
$6881280$ |
$2.053764$ |
$57053285789473/1193647104$ |
$0.91951$ |
$3.82384$ |
$[1, -1, 0, -353691, 79574053]$ |
\(y^2+xy=x^3-x^2-353691x+79574053\) |
6396.2.0.? |
$[(86, 7013), (566, 7493)]$ |
470106.h1 |
470106h1 |
470106.h |
470106h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{2} \cdot 13^{2} \cdot 41^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.823108262$ |
$1$ |
|
$12$ |
$1537536$ |
$1.357971$ |
$-174978861252433/109090176$ |
$0.94374$ |
$3.31377$ |
$[1, -1, 0, -38376, 2904768]$ |
\(y^2+xy=x^3-x^2-38376x+2904768\) |
24.2.0.b.1 |
$[(123, 123), (111, 3)]$ |
470106.i1 |
470106i1 |
470106.i |
470106i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{4} \cdot 3^{11} \cdot 7^{8} \cdot 13^{9} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3198$ |
$2$ |
$0$ |
$11.43431474$ |
$1$ |
|
$0$ |
$89026560$ |
$3.450451$ |
$280230478609556783/1690442036051184$ |
$0.96704$ |
$4.94434$ |
$[1, -1, 0, 22000599, 121925553021]$ |
\(y^2+xy=x^3-x^2+22000599x+121925553021\) |
3198.2.0.? |
$[(1704366/11, 2381374845/11)]$ |
470106.j1 |
470106j2 |
470106.j |
470106j |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{4} \cdot 13 \cdot 41^{3} \) |
$2$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$3198$ |
$16$ |
$0$ |
$3.499408730$ |
$1$ |
|
$18$ |
$12690432$ |
$2.407013$ |
$-58547782891689619297/43006704$ |
$1.12130$ |
$4.58564$ |
$[1, -1, 0, -9749196, 11719029888]$ |
\(y^2+xy=x^3-x^2-9749196x+11719029888\) |
3.8.0-3.a.1.2, 3198.16.0.? |
$[(1803, -897), (1812, -240)]$ |
470106.j2 |
470106j1 |
470106.j |
470106j |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{12} \cdot 3^{9} \cdot 7^{4} \cdot 13^{3} \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$3198$ |
$16$ |
$0$ |
$0.388823192$ |
$1$ |
|
$18$ |
$4230144$ |
$1.857708$ |
$-103170428183137/9961795584$ |
$0.96094$ |
$3.58304$ |
$[1, -1, 0, -117756, 16830288]$ |
\(y^2+xy=x^3-x^2-117756x+16830288\) |
3.8.0-3.a.1.1, 3198.16.0.? |
$[(219, 1119), (408, 5844)]$ |
470106.k1 |
470106k1 |
470106.k |
470106k |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{9} \cdot 13^{2} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$3.378945480$ |
$1$ |
|
$2$ |
$6773760$ |
$2.022610$ |
$67468849911/3547648$ |
$0.85260$ |
$3.75476$ |
$[1, -1, 0, -261816, 49230656]$ |
\(y^2+xy=x^3-x^2-261816x+49230656\) |
2296.2.0.? |
$[(-61, 8091)]$ |
470106.l1 |
470106l1 |
470106.l |
470106l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{7} \cdot 7^{3} \cdot 13^{5} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$89544$ |
$2$ |
$0$ |
$0.156847174$ |
$1$ |
|
$8$ |
$1290240$ |
$1.244173$ |
$7541066681/91338078$ |
$0.87429$ |
$2.92214$ |
$[1, -1, 0, 2574, 223726]$ |
\(y^2+xy=x^3-x^2+2574x+223726\) |
89544.2.0.? |
$[(-19, 419)]$ |
470106.m1 |
470106m1 |
470106.m |
470106m |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{13} \cdot 3^{7} \cdot 7^{9} \cdot 13^{3} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1.917591396$ |
$1$ |
|
$4$ |
$34105344$ |
$2.800602$ |
$149966731065689/90763026432$ |
$0.94189$ |
$4.34481$ |
$[1, -1, 0, 3416859, -521240427]$ |
\(y^2+xy=x^3-x^2+3416859x-521240427\) |
2184.2.0.? |
$[(1017, 62775)]$ |
470106.n1 |
470106n2 |
470106.n |
470106n |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{6} \cdot 3^{9} \cdot 7^{18} \cdot 13 \cdot 41^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$44772$ |
$16$ |
$0$ |
$16.68600106$ |
$1$ |
|
$0$ |
$501645312$ |
$4.236214$ |
$120986373702456846135875233/21429653098766238144$ |
$0.99989$ |
$5.99698$ |
$[1, -1, 0, -4544047251, -117880430635787]$ |
\(y^2+xy=x^3-x^2-4544047251x-117880430635787\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 6396.8.0.?, 44772.16.0.? |
$[(288029054/37, 4592457149129/37)]$ |
470106.n2 |
470106n1 |
470106.n |
470106n |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{18} \cdot 3^{15} \cdot 7^{10} \cdot 13^{3} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$44772$ |
$16$ |
$0$ |
$5.562000355$ |
$1$ |
|
$2$ |
$167215104$ |
$3.686905$ |
$3215014175651328584353/1115930860975816704$ |
$0.97433$ |
$5.19032$ |
$[1, -1, 0, -135599571, 384519757621]$ |
\(y^2+xy=x^3-x^2-135599571x+384519757621\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 6396.8.0.?, 44772.16.0.? |
$[(205670, 93022541)]$ |
470106.o1 |
470106o4 |
470106.o |
470106o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{7} \cdot 3^{10} \cdot 7^{8} \cdot 13^{4} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$17.24466526$ |
$1$ |
|
$0$ |
$99090432$ |
$3.457985$ |
$285311789321435384726737/594905980032$ |
$0.98156$ |
$5.53377$ |
$[1, -1, 0, -604835478, -5725224613004]$ |
\(y^2+xy=x^3-x^2-604835478x-5725224613004\) |
2.3.0.a.1, 4.6.0.c.1, 168.12.0.?, 312.12.0.?, 328.12.0.?, $\ldots$ |
$[(2700666527/253, 106911497176445/253)]$ |
470106.o2 |
470106o3 |
470106.o |
470106o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{7} \cdot 3^{7} \cdot 7^{14} \cdot 13 \cdot 41^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$4.311166316$ |
$1$ |
|
$2$ |
$99090432$ |
$3.457985$ |
$150062694782364873937/81319429594096512$ |
$0.98109$ |
$4.95568$ |
$[1, -1, 0, -48822678, -33099400076]$ |
\(y^2+xy=x^3-x^2-48822678x-33099400076\) |
2.3.0.a.1, 4.6.0.c.1, 168.12.0.?, 312.12.0.?, 328.12.0.?, $\ldots$ |
$[(-4821, 302756)]$ |
470106.o3 |
470106o2 |
470106.o |
470106o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{14} \cdot 3^{8} \cdot 7^{10} \cdot 13^{2} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$89544$ |
$48$ |
$0$ |
$8.622332633$ |
$1$ |
|
$2$ |
$49545216$ |
$3.111412$ |
$69728644177980628177/100579396829184$ |
$0.95010$ |
$4.89700$ |
$[1, -1, 0, -37815318, -89384434700]$ |
\(y^2+xy=x^3-x^2-37815318x-89384434700\) |
2.6.0.a.1, 168.12.0.?, 312.12.0.?, 328.12.0.?, 364.12.0.?, $\ldots$ |
$[(-591267/13, 23920177/13)]$ |
470106.o4 |
470106o1 |
470106.o |
470106o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{28} \cdot 3^{7} \cdot 7^{8} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$17.24466526$ |
$1$ |
|
$1$ |
$24772608$ |
$2.764839$ |
$-6208503067778257/21032186413056$ |
$0.92750$ |
$4.33029$ |
$[1, -1, 0, -1688598, -2210659340]$ |
\(y^2+xy=x^3-x^2-1688598x-2210659340\) |
2.3.0.a.1, 4.6.0.c.1, 168.12.0.?, 312.12.0.?, 328.12.0.?, $\ldots$ |
$[(197027037/143, 2722680815002/143)]$ |
470106.p1 |
470106p1 |
470106.p |
470106p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{13} \cdot 13^{4} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6888$ |
$2$ |
$0$ |
$2.327626065$ |
$1$ |
|
$2$ |
$17633280$ |
$2.552345$ |
$-114861420502828299/30859829649376$ |
$0.93020$ |
$4.18317$ |
$[1, -1, 0, -1488678, 846349524]$ |
\(y^2+xy=x^3-x^2-1488678x+846349524\) |
6888.2.0.? |
$[(-411, 37470)]$ |
470106.q1 |
470106q1 |
470106.q |
470106q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{4} \cdot 13 \cdot 41^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1.586312671$ |
$1$ |
|
$10$ |
$781056$ |
$1.088291$ |
$-3977954113/1398592$ |
$0.82475$ |
$2.82941$ |
$[1, -1, 0, -3978, 123444]$ |
\(y^2+xy=x^3-x^2-3978x+123444\) |
52.2.0.a.1 |
$[(45, 162), (4, 326)]$ |
470106.r1 |
470106r2 |
470106.r |
470106r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{7} \cdot 7^{12} \cdot 13^{3} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$44772$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$212336640$ |
$3.941196$ |
$80584461459025151375298097/333693103021824$ |
$0.99876$ |
$5.96587$ |
$[1, -1, 0, -3968390988, 96221976149200]$ |
\(y^2+xy=x^3-x^2-3968390988x+96221976149200\) |
2.3.0.a.1, 156.6.0.?, 1148.6.0.?, 44772.12.0.? |
$[]$ |
470106.r2 |
470106r1 |
470106.r |
470106r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{16} \cdot 3^{8} \cdot 7^{9} \cdot 13^{6} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$44772$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$106168320$ |
$3.594624$ |
$-19645130164017251655217/40036908053495808$ |
$0.97236$ |
$5.32917$ |
$[1, -1, 0, -247903308, 1505056694224]$ |
\(y^2+xy=x^3-x^2-247903308x+1505056694224\) |
2.3.0.a.1, 156.6.0.?, 574.6.0.?, 44772.12.0.? |
$[]$ |
470106.s1 |
470106s3 |
470106.s |
470106s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{2} \cdot 3^{9} \cdot 7^{10} \cdot 13 \cdot 41^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1.919426491$ |
$1$ |
|
$16$ |
$23592960$ |
$2.745987$ |
$86229623764904257/9525651634044$ |
$0.91957$ |
$4.38436$ |
$[1, -1, 0, -4058973, 2832252345]$ |
\(y^2+xy=x^3-x^2-4058973x+2832252345\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 156.12.0.?, 364.12.0.?, $\ldots$ |
$[(807, 8637), (192, 45291)]$ |
470106.s2 |
470106s2 |
470106.s |
470106s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3^{12} \cdot 7^{8} \cdot 13^{2} \cdot 41^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$44772$ |
$48$ |
$0$ |
$7.677705967$ |
$1$ |
|
$16$ |
$11796480$ |
$2.399410$ |
$1152110255377537/162367090704$ |
$0.89436$ |
$4.05395$ |
$[1, -1, 0, -963153, -316196595]$ |
\(y^2+xy=x^3-x^2-963153x-316196595\) |
2.6.0.a.1, 84.12.0.?, 156.12.0.?, 364.12.0.?, 492.12.0.?, $\ldots$ |
$[(-677, 5361), (-402, 2631)]$ |
470106.s3 |
470106s1 |
470106.s |
470106s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{7} \cdot 13 \cdot 41 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$30.71082386$ |
$1$ |
|
$5$ |
$5898240$ |
$2.052837$ |
$1030086793846657/25788672$ |
$0.89041$ |
$4.04538$ |
$[1, -1, 0, -927873, -343778499]$ |
\(y^2+xy=x^3-x^2-927873x-343778499\) |
2.3.0.a.1, 4.6.0.c.1, 168.12.0.?, 312.12.0.?, 364.12.0.?, $\ldots$ |
$[(3042, 156519), (10467, 1060884)]$ |
470106.s4 |
470106s4 |
470106.s |
470106s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{18} \cdot 7^{7} \cdot 13^{4} \cdot 41 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$7.677705967$ |
$1$ |
|
$10$ |
$23592960$ |
$2.745987$ |
$4972803928432703/17424902388348$ |
$0.92669$ |
$4.28999$ |
$[1, -1, 0, 1568187, -1699827039]$ |
\(y^2+xy=x^3-x^2+1568187x-1699827039\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 312.12.0.?, 492.12.0.?, $\ldots$ |
$[(1668, 73695), (10488, 1075647)]$ |
470106.t1 |
470106t2 |
470106.t |
470106t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2 \cdot 3^{9} \cdot 7^{7} \cdot 13^{2} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$89544$ |
$12$ |
$0$ |
$1.131816852$ |
$1$ |
|
$6$ |
$2764800$ |
$1.789497$ |
$28400541651/3977246$ |
$0.83122$ |
$3.49389$ |
$[1, -1, 0, -84093, -8150941]$ |
\(y^2+xy=x^3-x^2-84093x-8150941\) |
2.3.0.a.1, 168.6.0.?, 6396.6.0.?, 29848.6.0.?, 89544.12.0.? |
$[(499, 8350)]$ |
470106.t2 |
470106t1 |
470106.t |
470106t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{9} \cdot 7^{8} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$89544$ |
$12$ |
$0$ |
$2.263633705$ |
$1$ |
|
$5$ |
$1382400$ |
$1.442924$ |
$29503629/104468$ |
$0.73710$ |
$3.09293$ |
$[1, -1, 0, 8517, -686575]$ |
\(y^2+xy=x^3-x^2+8517x-686575\) |
2.3.0.a.1, 168.6.0.?, 3198.6.0.?, 29848.6.0.?, 89544.12.0.? |
$[(107, 1147)]$ |
470106.u1 |
470106u1 |
470106.u |
470106u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{10} \cdot 13 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4264$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8205120$ |
$2.232185$ |
$762872056177/1091584$ |
$0.86809$ |
$4.08945$ |
$[1, -1, 0, -1124118, 458452980]$ |
\(y^2+xy=x^3-x^2-1124118x+458452980\) |
4264.2.0.? |
$[]$ |
470106.v1 |
470106v4 |
470106.v |
470106v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{3} \cdot 3^{6} \cdot 7^{6} \cdot 13^{2} \cdot 41^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$6888$ |
$48$ |
$0$ |
$2.141437663$ |
$1$ |
|
$6$ |
$14155776$ |
$2.400208$ |
$42069031141486257/3820428872$ |
$1.04810$ |
$4.32941$ |
$[1, -1, 0, -3195348, -2197523224]$ |
\(y^2+xy=x^3-x^2-3195348x-2197523224\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(-1027, 832)]$ |
470106.v2 |
470106v2 |
470106.v |
470106v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 13^{4} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$6888$ |
$48$ |
$0$ |
$1.070718831$ |
$1$ |
|
$14$ |
$7077888$ |
$2.053635$ |
$12670521525297/3072706624$ |
$1.01994$ |
$3.70864$ |
$[1, -1, 0, -214188, -29027440]$ |
\(y^2+xy=x^3-x^2-214188x-29027440\) |
2.6.0.a.1, 8.12.0.a.1, 84.12.0.?, 164.12.0.?, 168.24.0.?, $\ldots$ |
$[(-299, 3016)]$ |
470106.v3 |
470106v1 |
470106.v |
470106v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{6} \cdot 13^{2} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$6888$ |
$48$ |
$0$ |
$2.141437663$ |
$1$ |
|
$5$ |
$3538944$ |
$1.707062$ |
$503028912177/28381184$ |
$0.90683$ |
$3.46161$ |
$[1, -1, 0, -73068, 7240400]$ |
\(y^2+xy=x^3-x^2-73068x+7240400\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 82.6.0.?, 84.12.0.?, $\ldots$ |
$[(248, 1956)]$ |
470106.v4 |
470106v3 |
470106.v |
470106v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{3} \cdot 3^{6} \cdot 7^{6} \cdot 13^{8} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$6888$ |
$48$ |
$0$ |
$2.141437663$ |
$1$ |
|
$4$ |
$14155776$ |
$2.400208$ |
$170095924504143/267559676488$ |
$0.97501$ |
$3.94892$ |
$[1, -1, 0, 509052, -183366856]$ |
\(y^2+xy=x^3-x^2+509052x-183366856\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 168.24.0.?, 328.24.0.?, $\ldots$ |
$[(685, 21712)]$ |
470106.w1 |
470106w1 |
470106.w |
470106w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{9} \cdot 13^{2} \cdot 41^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6888$ |
$2$ |
$0$ |
$2.242766529$ |
$1$ |
|
$2$ |
$26127360$ |
$2.844311$ |
$3728922528843/5963596288$ |
$0.90081$ |
$4.35774$ |
$[1, -1, 0, 2991882, -2645954956]$ |
\(y^2+xy=x^3-x^2+2991882x-2645954956\) |
6888.2.0.? |
$[(37963, 7385188)]$ |
470106.x1 |
470106x2 |
470106.x |
470106x |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{6} \cdot 3^{9} \cdot 7^{3} \cdot 13^{2} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3444$ |
$12$ |
$0$ |
$1.133992841$ |
$1$ |
|
$6$ |
$44236800$ |
$3.163330$ |
$416686614257903218095511/1387182441707712$ |
$1.11428$ |
$5.11580$ |
$[1, -1, 0, -98032293, 373619122645]$ |
\(y^2+xy=x^3-x^2-98032293x+373619122645\) |
2.3.0.a.1, 42.6.0.a.1, 492.6.0.?, 1148.6.0.?, 3444.12.0.? |
$[(6129, 51568)]$ |
470106.x2 |
470106x1 |
470106.x |
470106x |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{12} \cdot 3^{12} \cdot 7^{3} \cdot 13^{4} \cdot 41^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3444$ |
$12$ |
$0$ |
$0.566996420$ |
$1$ |
|
$7$ |
$22118400$ |
$2.816757$ |
$-97564134681184754071/5877768210223104$ |
$1.01370$ |
$4.48333$ |
$[1, -1, 0, -6042213, 6008364949]$ |
\(y^2+xy=x^3-x^2-6042213x+6008364949\) |
2.3.0.a.1, 84.6.0.?, 492.6.0.?, 574.6.0.?, 3444.12.0.? |
$[(305, 64607)]$ |
470106.y1 |
470106y2 |
470106.y |
470106y |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{2} \cdot 3^{14} \cdot 7^{3} \cdot 13 \cdot 41^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14924$ |
$12$ |
$0$ |
$2.767505981$ |
$1$ |
|
$16$ |
$1966080$ |
$1.406000$ |
$997302429271/573510132$ |
$0.93551$ |
$3.06704$ |
$[1, -1, 0, -13113, -42575]$ |
\(y^2+xy=x^3-x^2-13113x-42575\) |
2.3.0.a.1, 364.6.0.?, 1148.6.0.?, 2132.6.0.?, 14924.12.0.? |
$[(-64, 761), (-75, 755)]$ |
470106.y2 |
470106y1 |
470106.y |
470106y |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{4} \cdot 3^{10} \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14924$ |
$12$ |
$0$ |
$2.767505981$ |
$1$ |
|
$15$ |
$983040$ |
$1.059427$ |
$15419656169/8979984$ |
$0.90037$ |
$2.74781$ |
$[1, -1, 0, 3267, -6539]$ |
\(y^2+xy=x^3-x^2+3267x-6539\) |
2.3.0.a.1, 364.6.0.?, 574.6.0.?, 2132.6.0.?, 14924.12.0.? |
$[(23, 272), (38, 395)]$ |
470106.z1 |
470106z1 |
470106.z |
470106z |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{7} \cdot 7^{2} \cdot 13 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12792$ |
$2$ |
$0$ |
$1.037212564$ |
$1$ |
|
$4$ |
$177408$ |
$0.235041$ |
$4934783/3198$ |
$0.73405$ |
$1.98269$ |
$[1, -1, 0, 117, 139]$ |
\(y^2+xy=x^3-x^2+117x+139\) |
12792.2.0.? |
$[(-1, 5)]$ |
470106.ba1 |
470106ba1 |
470106.ba |
470106ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{17} \cdot 3^{6} \cdot 7^{10} \cdot 13^{7} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4264$ |
$2$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$189524160$ |
$3.650089$ |
$638329991738610577/337207518429184$ |
$1.02356$ |
$5.13359$ |
$[1, -1, 0, -105927768, -123857691840]$ |
\(y^2+xy=x^3-x^2-105927768x-123857691840\) |
4264.2.0.? |
$[]$ |
470106.bb1 |
470106bb1 |
470106.bb |
470106bb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{2} \cdot 3^{9} \cdot 7^{6} \cdot 13^{3} \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$0.887940663$ |
$1$ |
|
$18$ |
$4976640$ |
$1.956667$ |
$10945484159427/360308$ |
$0.91394$ |
$3.94978$ |
$[1, -1, 0, -611970, 184413032]$ |
\(y^2+xy=x^3-x^2-611970x+184413032\) |
6396.2.0.? |
$[(443, 97), (-194, 17296)]$ |
470106.bc1 |
470106bc1 |
470106.bc |
470106bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{10} \cdot 13 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3198$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$1.695593$ |
$-49/25584$ |
$0.93549$ |
$3.34248$ |
$[1, -1, 0, -450, 3492292]$ |
\(y^2+xy=x^3-x^2-450x+3492292\) |
3198.2.0.? |
$[]$ |
470106.bd1 |
470106bd1 |
470106.bd |
470106bd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{9} \cdot 7^{8} \cdot 13^{3} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3198$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4838400$ |
$1.979338$ |
$-477872405521/9728316$ |
$0.84689$ |
$3.75830$ |
$[1, -1, 0, -262845, -52706543]$ |
\(y^2+xy=x^3-x^2-262845x-52706543\) |
3198.2.0.? |
$[]$ |
470106.be1 |
470106be1 |
470106.be |
470106be |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{8} \cdot 13 \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3198$ |
$2$ |
$0$ |
$11.39249460$ |
$1$ |
|
$6$ |
$3741696$ |
$1.794485$ |
$172495197/136448$ |
$0.76744$ |
$3.40109$ |
$[1, -1, 0, 56145, -3115603]$ |
\(y^2+xy=x^3-x^2+56145x-3115603\) |
3198.2.0.? |
$[(94, 1681), (398, 8865)]$ |
470106.bf1 |
470106bf1 |
470106.bf |
470106bf |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{6} \cdot 13 \cdot 41^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$1.028372972$ |
$1$ |
|
$10$ |
$2764800$ |
$1.804407$ |
$144430427731563/917476352$ |
$0.96755$ |
$3.64261$ |
$[1, -1, 0, -160680, 24694592]$ |
\(y^2+xy=x^3-x^2-160680x+24694592\) |
6396.2.0.? |
$[(304, 1816), (16, 4696)]$ |
470106.bg1 |
470106bg1 |
470106.bg |
470106bg |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{7} \cdot 13 \cdot 41^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$89544$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4884480$ |
$2.033611$ |
$-42680519796123/84343314328$ |
$0.89435$ |
$3.66297$ |
$[1, -1, 0, -107025, 28342789]$ |
\(y^2+xy=x^3-x^2-107025x+28342789\) |
89544.2.0.? |
$[]$ |