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 |
10010.a1 |
10010f4 |
10010.a |
10010f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{21} \cdot 5^{6} \cdot 7 \cdot 11^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$3.240089$ |
$54497099771831721530744218729/16209843781074944000000$ |
$[1, 0, 1, -78985959, -270129426454]$ |
\(y^2+xy+y=x^3-78985959x-270129426454\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.a.1, 168.48.0.?, $\ldots$ |
$[]$ |
10010.a2 |
10010f3 |
10010.a |
10010f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{42} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$725760$ |
$2.893513$ |
$19272683606216463573689449/7161126378530668544000$ |
$[1, 0, 1, -5585639, -3040342038]$ |
\(y^2+xy+y=x^3-5585639x-3040342038\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.d.1, 130.6.0.?, $\ldots$ |
$[]$ |
10010.a3 |
10010f2 |
10010.a |
10010f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{7} \cdot 5^{2} \cdot 7^{3} \cdot 11^{12} \cdot 13^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$483840$ |
$2.690781$ |
$2019051077229077416165369/582160888682835862400$ |
$[1, 0, 1, -2633144, 1164731142]$ |
\(y^2+xy+y=x^3-2633144x+1164731142\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.a.1, 168.48.0.?, $\ldots$ |
$[]$ |
10010.a4 |
10010f1 |
10010.a |
10010f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 5 \cdot 7^{6} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$241920$ |
$2.344208$ |
$1555006827939811751684089/221961497899581440$ |
$[1, 0, 1, -2413624, 1442906886]$ |
\(y^2+xy+y=x^3-2413624x+1442906886\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.d.1, 130.6.0.?, $\ldots$ |
$[]$ |
10010.b1 |
10010h2 |
10010.b |
10010h |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$0.396355067$ |
$1$ |
|
$8$ |
$7680$ |
$0.534422$ |
$10942526586601/3464060600$ |
$[1, 0, 1, -463, 2538]$ |
\(y^2+xy+y=x^3-463x+2538\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(4, 25)]$ |
10010.b2 |
10010h1 |
10010.b |
10010h |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$0.792710135$ |
$1$ |
|
$7$ |
$3840$ |
$0.187848$ |
$672451615081/24664640$ |
$[1, 0, 1, -183, -934]$ |
\(y^2+xy+y=x^3-183x-934\) |
2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.? |
$[(-8, 9)]$ |
10010.c1 |
10010a3 |
10010.c |
10010a |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$7.836468491$ |
$1$ |
|
$2$ |
$57344$ |
$1.689293$ |
$61458947171027474307849/96346250$ |
$[1, -1, 0, -822155, -286726349]$ |
\(y^2+xy=x^3-x^2-822155x-286726349\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.y.1.6, 52.12.0-4.c.1.1, $\ldots$ |
$[(12133, 1326496)]$ |
10010.c2 |
10010a2 |
10010.c |
10010a |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 5^{2} \cdot 7^{4} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$3.918234245$ |
$1$ |
|
$6$ |
$28672$ |
$1.342718$ |
$15005053520986088169/594086392900$ |
$[1, -1, 0, -51385, -4470375]$ |
\(y^2+xy=x^3-x^2-51385x-4470375\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.3, 52.12.0-2.a.1.1, $\ldots$ |
$[(275, 1325)]$ |
10010.c3 |
10010a4 |
10010.c |
10010a |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2 \cdot 5 \cdot 7^{2} \cdot 11^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$7.836468491$ |
$1$ |
|
$0$ |
$57344$ |
$1.689293$ |
$-12959477208091719369/2999928960118090$ |
$[1, -1, 0, -48935, -4917745]$ |
\(y^2+xy=x^3-x^2-48935x-4917745\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.1, 40.24.0-40.s.1.4, $\ldots$ |
$[(22177/9, 969551/9)]$ |
10010.c4 |
10010a1 |
10010.c |
10010a |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 5 \cdot 7^{8} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$1.959117122$ |
$1$ |
|
$3$ |
$14336$ |
$0.996145$ |
$4214552938238889/725442557840$ |
$[1, -1, 0, -3365, -62139]$ |
\(y^2+xy=x^3-x^2-3365x-62139\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.y.1.9, $\ldots$ |
$[(-34, 127)]$ |
10010.d1 |
10010d3 |
10010.d |
10010d |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 5^{4} \cdot 7^{2} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$0.817746625$ |
$1$ |
|
$4$ |
$28672$ |
$1.423050$ |
$331616731345462809/170683258996250$ |
$[1, -1, 0, -14420, -218050]$ |
\(y^2+xy=x^3-x^2-14420x-218050\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.y.1.6, 52.12.0-4.c.1.1, $\ldots$ |
$[(161, 1190)]$ |
10010.d2 |
10010d2 |
10010.d |
10010d |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 5^{2} \cdot 7^{4} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$0.408873312$ |
$1$ |
|
$16$ |
$14336$ |
$1.076475$ |
$57695467871815929/594086392900$ |
$[1, -1, 0, -8050, 277536]$ |
\(y^2+xy=x^3-x^2-8050x+277536\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.3, 52.12.0-2.a.1.1, $\ldots$ |
$[(-7, 581)]$ |
10010.d3 |
10010d1 |
10010.d |
10010d |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$0.817746625$ |
$1$ |
|
$5$ |
$7168$ |
$0.729902$ |
$57266517014673849/6166160$ |
$[1, -1, 0, -8030, 278980]$ |
\(y^2+xy=x^3-x^2-8030x+278980\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.y.1.9, $\ldots$ |
$[(61, 85)]$ |
10010.d4 |
10010d4 |
10010.d |
10010d |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2 \cdot 5 \cdot 7^{8} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$0.817746625$ |
$1$ |
|
$4$ |
$28672$ |
$1.423050$ |
$-884984855328729/199224662446810$ |
$[1, -1, 0, -2000, 680466]$ |
\(y^2+xy=x^3-x^2-2000x+680466\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.1, 40.24.0-40.s.1.4, $\ldots$ |
$[(15, 801)]$ |
10010.e1 |
10010j2 |
10010.e |
10010j |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 5^{4} \cdot 7 \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$0.633984984$ |
$1$ |
|
$6$ |
$4608$ |
$0.388703$ |
$1246114341081/715715000$ |
$[1, -1, 0, -224, 168]$ |
\(y^2+xy=x^3-x^2-224x+168\) |
2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.? |
$[(17, 24)]$ |
10010.e2 |
10010j1 |
10010.e |
10010j |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$1.267969968$ |
$1$ |
|
$5$ |
$2304$ |
$0.042130$ |
$19227292839/11211200$ |
$[1, -1, 0, 56, 0]$ |
\(y^2+xy=x^3-x^2+56x\) |
2.3.0.a.1, 56.6.0.d.1, 286.6.0.?, 8008.12.0.? |
$[(1, 7)]$ |
10010.f1 |
10010k4 |
10010.f |
10010k |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 5^{4} \cdot 7^{16} \cdot 11^{5} \cdot 13^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$4.010017547$ |
$1$ |
|
$6$ |
$9584640$ |
$4.250175$ |
$88762845566274919807374197327852361/36180849699874120000760000$ |
$[1, -1, 0, -9293283119, 344829679814125]$ |
\(y^2+xy=x^3-x^2-9293283119x+344829679814125\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 44.24.0-44.h.1.2, 440.48.0.? |
$[(55606, -9743)]$ |
10010.f2 |
10010k3 |
10010.f |
10010k |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 5 \cdot 7^{4} \cdot 11^{20} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$16.04007018$ |
$1$ |
|
$0$ |
$9584640$ |
$4.250175$ |
$207243689187073660850837150874441/87353949662012781559513782080$ |
$[1, -1, 0, -1232875439, -8683800943507]$ |
\(y^2+xy=x^3-x^2-1232875439x-8683800943507\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 88.24.0.?, $\ldots$ |
$[(-20696609/33, 101236385975/33)]$ |
10010.f3 |
10010k2 |
10010.f |
10010k |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 5^{2} \cdot 7^{8} \cdot 11^{10} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$220$ |
$48$ |
$0$ |
$8.020035094$ |
$1$ |
|
$2$ |
$4792320$ |
$3.903603$ |
$21987209151523511892752120960841/437305095267337355464806400$ |
$[1, -1, 0, -583645039, 5333213238573]$ |
\(y^2+xy=x^3-x^2-583645039x+5333213238573\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 44.24.0-44.a.1.1, 220.48.0.? |
$[(-132242/3, 88668283/3)]$ |
10010.f4 |
10010k1 |
10010.f |
10010k |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{24} \cdot 5 \cdot 7^{4} \cdot 11^{5} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$440$ |
$48$ |
$0$ |
$16.04007018$ |
$1$ |
|
$1$ |
$2396160$ |
$3.557030$ |
$234241108436789946525879/26460150167125207212359680$ |
$[1, -1, 0, 1284241, 247487120685]$ |
\(y^2+xy=x^3-x^2+1284241x+247487120685\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$ |
$[(-642322226/501, 60132290127469/501)]$ |
10010.g1 |
10010e1 |
10010.g |
10010e |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{5} \cdot 5 \cdot 7^{3} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4320$ |
$0.402012$ |
$-6321363049/949588640$ |
$[1, 0, 1, -39, 1482]$ |
\(y^2+xy+y=x^3-39x+1482\) |
3.8.0-3.a.1.2, 40040.2.0.?, 120120.16.0.? |
$[]$ |
10010.g2 |
10010e2 |
10010.g |
10010e |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{15} \cdot 5^{3} \cdot 7 \cdot 11 \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$120120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12960$ |
$0.951318$ |
$4599970967591/692916224000$ |
$[1, 0, 1, 346, -39944]$ |
\(y^2+xy+y=x^3+346x-39944\) |
3.8.0-3.a.1.1, 40040.2.0.?, 120120.16.0.? |
$[]$ |
10010.h1 |
10010l1 |
10010.h |
10010l |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{3} \cdot 5^{9} \cdot 7^{3} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.1 |
3B.1.1 |
$360360$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$69984$ |
$1.781431$ |
$-23435988854433472928521/766390625000$ |
$[1, 0, 1, -596193, 177135708]$ |
\(y^2+xy+y=x^3-596193x+177135708\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 117.72.0.?, 40040.2.0.?, 120120.16.0.?, $\ldots$ |
$[]$ |
10010.h2 |
10010l2 |
10010.h |
10010l |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{9} \cdot 5^{3} \cdot 7^{9} \cdot 11^{3} \cdot 13^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$360360$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$209952$ |
$2.330738$ |
$-18456760454403600758521/7552147204137536000$ |
$[1, 0, 1, -550568, 205395958]$ |
\(y^2+xy+y=x^3-550568x+205395958\) |
3.24.0-3.a.1.1, 117.72.0.?, 40040.2.0.?, 120120.48.1.?, 360360.144.3.? |
$[]$ |
10010.h3 |
10010l3 |
10010.h |
10010l |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{27} \cdot 5 \cdot 7^{3} \cdot 11^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$360360$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$629856$ |
$2.880043$ |
$8446932880984669534870679/7055885522874568540160$ |
$[1, 0, 1, 4242857, -2239652102]$ |
\(y^2+xy+y=x^3+4242857x-2239652102\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 117.72.0.?, 40040.2.0.?, 120120.16.0.?, $\ldots$ |
$[]$ |
10010.i1 |
10010b1 |
10010.i |
10010b |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 5^{2} \cdot 7^{3} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$40040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8640$ |
$0.555506$ |
$100473287628169/1255654400$ |
$[1, 1, 0, -968, 11072]$ |
\(y^2+xy=x^3+x^2-968x+11072\) |
2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.? |
$[]$ |
10010.i2 |
10010b2 |
10010.i |
10010b |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{5} \cdot 5 \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$40040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.902079$ |
$-529278808969/384928704160$ |
$[1, 1, 0, -168, 29792]$ |
\(y^2+xy=x^3+x^2-168x+29792\) |
2.3.0.a.1, 40.6.0.a.1, 4004.6.0.?, 40040.12.0.? |
$[]$ |
10010.j1 |
10010c2 |
10010.j |
10010c |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$2.872256729$ |
$1$ |
|
$2$ |
$12800$ |
$0.704773$ |
$277282601924329/13856242400$ |
$[1, 1, 0, -1358, -18988]$ |
\(y^2+xy=x^3+x^2-1358x-18988\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(121, 1207)]$ |
10010.j2 |
10010c1 |
10010.j |
10010c |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1.436128364$ |
$1$ |
|
$3$ |
$6400$ |
$0.358200$ |
$1500730351849/394634240$ |
$[1, 1, 0, -238, 948]$ |
\(y^2+xy=x^3+x^2-238x+948\) |
2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.? |
$[(3, 15)]$ |
10010.k1 |
10010g2 |
10010.k |
10010g |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 5^{10} \cdot 7^{3} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$115200$ |
$1.841677$ |
$131968708375248110521/16576071230468750$ |
$[1, 1, 0, -106067, -11809129]$ |
\(y^2+xy=x^3+x^2-106067x-11809129\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[]$ |
10010.k2 |
10010g1 |
10010.k |
10010g |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 5^{5} \cdot 7^{6} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$57600$ |
$1.495104$ |
$119575490767273459801/2313273462500$ |
$[1, 1, 0, -102637, -12698871]$ |
\(y^2+xy=x^3+x^2-102637x-12698871\) |
2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.? |
$[]$ |
10010.l1 |
10010i1 |
10010.l |
10010i |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$40040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1216$ |
$-0.319559$ |
$594823321/100100$ |
$[1, 1, 0, -17, -31]$ |
\(y^2+xy=x^3+x^2-17x-31\) |
2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.? |
$[]$ |
10010.l2 |
10010i2 |
10010.l |
10010i |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2 \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$40040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2432$ |
$0.027015$ |
$3789119879/10020010$ |
$[1, 1, 0, 33, -121]$ |
\(y^2+xy=x^3+x^2+33x-121\) |
2.3.0.a.1, 40.6.0.a.1, 4004.6.0.?, 40040.12.0.? |
$[]$ |
10010.m1 |
10010p2 |
10010.m |
10010p |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$0.171527685$ |
$1$ |
|
$12$ |
$10240$ |
$0.693770$ |
$110931033861649/19352933600$ |
$[1, 0, 0, -1001, 10105]$ |
\(y^2+xy=x^3-1001x+10105\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[(28, 51)]$ |
10010.m2 |
10010p1 |
10010.m |
10010p |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$0.343055370$ |
$1$ |
|
$11$ |
$5120$ |
$0.347197$ |
$186267240431/466385920$ |
$[1, 0, 0, 119, 921]$ |
\(y^2+xy=x^3+119x+921\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[(-2, 27)]$ |
10010.n1 |
10010s3 |
10010.n |
10010s |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 5^{6} \cdot 7^{3} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$120120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$67392$ |
$1.552130$ |
$207362104287019679089/5934929000000$ |
$[1, 0, 0, -123311, -16676615]$ |
\(y^2+xy=x^3-123311x-16676615\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.d.1, 120.48.0.?, $\ldots$ |
$[]$ |
10010.n2 |
10010s4 |
10010.n |
10010s |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{3} \cdot 5^{3} \cdot 7^{6} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$120120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$134784$ |
$1.898703$ |
$-183146792453150159089/35223382235041000$ |
$[1, 0, 0, -118311, -18089615]$ |
\(y^2+xy=x^3-118311x-18089615\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.a.1, 120.48.0.?, $\ldots$ |
$[]$ |
10010.n3 |
10010s1 |
10010.n |
10010s |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$120120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$22464$ |
$1.002823$ |
$2107441550633329/1108665958400$ |
$[1, 0, 0, -2671, 15801]$ |
\(y^2+xy=x^3-2671x+15801\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.d.1, 120.48.0.?, $\ldots$ |
$[]$ |
10010.n4 |
10010s2 |
10010.n |
10010s |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{9} \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$120120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$44928$ |
$1.349398$ |
$114926649504265871/73262465436160$ |
$[1, 0, 0, 10129, 125881]$ |
\(y^2+xy=x^3+10129x+125881\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.a.1, 120.48.0.?, $\ldots$ |
$[]$ |
10010.o1 |
10010z3 |
10010.o |
10010z |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 5^{2} \cdot 7^{3} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$120120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$43200$ |
$1.411043$ |
$569541582763202518561/828928100$ |
$[1, 0, 0, -172690, -27636000]$ |
\(y^2+xy=x^3-172690x-27636000\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.d.1, 120.48.0.?, $\ldots$ |
$[]$ |
10010.o2 |
10010z4 |
10010.o |
10010z |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2 \cdot 5 \cdot 7^{6} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$120120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$86400$ |
$1.757616$ |
$-569047017391330383361/687121794969610$ |
$[1, 0, 0, -172640, -27652790]$ |
\(y^2+xy=x^3-172640x-27652790\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.a.1, 120.48.0.?, $\ldots$ |
$[]$ |
10010.o3 |
10010z1 |
10010.o |
10010z |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 5^{6} \cdot 7 \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$120120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$14400$ |
$0.861737$ |
$1161631688686561/121121000000$ |
$[1, 0, 0, -2190, -35900]$ |
\(y^2+xy=x^3-2190x-35900\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.d.1, 120.48.0.?, $\ldots$ |
$[]$ |
10010.o4 |
10010z2 |
10010.o |
10010z |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{3} \cdot 5^{3} \cdot 7^{2} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$120120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$28800$ |
$1.208311$ |
$2453765252833439/14670296641000$ |
$[1, 0, 0, 2810, -174900]$ |
\(y^2+xy=x^3+2810x-174900\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.a.1, 120.48.0.?, $\ldots$ |
$[]$ |
10010.p1 |
10010t1 |
10010.p |
10010t |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$40040$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$800$ |
$-0.553506$ |
$-1/10010$ |
$[1, 1, 1, 0, -5]$ |
\(y^2+xy+y=x^3+x^2-5\) |
40040.2.0.? |
$[]$ |
10010.q1 |
10010m3 |
10010.q |
10010m |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$8008$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14336$ |
$0.875930$ |
$1332779492447649/146356560350$ |
$[1, -1, 1, -2293, 38607]$ |
\(y^2+xy+y=x^3-x^2-2293x+38607\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.1, 56.24.0-56.s.1.2, $\ldots$ |
$[]$ |
10010.q2 |
10010m2 |
10010.q |
10010m |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$8008$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7168$ |
$0.529356$ |
$17675559395649/2505002500$ |
$[1, -1, 1, -543, -4093]$ |
\(y^2+xy+y=x^3-x^2-543x-4093\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.b.1.4, 572.12.0.?, $\ldots$ |
$[]$ |
10010.q3 |
10010m1 |
10010.q |
10010m |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$8008$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3584$ |
$0.182782$ |
$15792469779969/400400$ |
$[1, -1, 1, -523, -4469]$ |
\(y^2+xy+y=x^3-x^2-523x-4469\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.2, 56.24.0-56.y.1.1, $\ldots$ |
$[]$ |
10010.q4 |
10010m4 |
10010.q |
10010m |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2 \cdot 5^{8} \cdot 7^{4} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$8008$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$14336$ |
$0.875930$ |
$77259787831071/268236718750$ |
$[1, -1, 1, 887, -22969]$ |
\(y^2+xy+y=x^3-x^2+887x-22969\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.y.1.6, 572.12.0.?, $\ldots$ |
$[]$ |
10010.r1 |
10010n2 |
10010.r |
10010n |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$20020$ |
$12$ |
$0$ |
$3.972846313$ |
$1$ |
|
$2$ |
$9216$ |
$0.742002$ |
$647865799013889/16121205100$ |
$[1, -1, 1, -1803, -28369]$ |
\(y^2+xy+y=x^3-x^2-1803x-28369\) |
2.3.0.a.1, 220.6.0.?, 364.6.0.?, 20020.12.0.? |
$[(51, 76)]$ |
10010.r2 |
10010n1 |
10010.r |
10010n |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$20020$ |
$12$ |
$0$ |
$1.986423156$ |
$1$ |
|
$5$ |
$4608$ |
$0.395429$ |
$573856191/881760880$ |
$[1, -1, 1, 17, -1433]$ |
\(y^2+xy+y=x^3-x^2+17x-1433\) |
2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.? |
$[(25, 106)]$ |