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 |
1005.a1 |
1005b2 |
1005.a |
1005b |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 67 \) |
\( - 3^{4} \cdot 5^{6} \cdot 67^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$402$ |
$16$ |
$0$ |
$0.312315735$ |
$1$ |
|
$4$ |
$1440$ |
$0.955898$ |
$-2989967081734144/380653171875$ |
$[0, 1, 1, -3001, -70904]$ |
\(y^2+y=x^3+x^2-3001x-70904\) |
3.8.0-3.a.1.1, 134.2.0.?, 402.16.0.? |
$[(542, 12562)]$ |
3015.c1 |
3015c2 |
3015.c |
3015c |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 67 \) |
\( - 3^{10} \cdot 5^{6} \cdot 67^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$402$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$11520$ |
$1.505205$ |
$-2989967081734144/380653171875$ |
$[0, 0, 1, -27012, 1887390]$ |
\(y^2+y=x^3-27012x+1887390\) |
3.8.0-3.a.1.2, 134.2.0.?, 402.16.0.? |
$[]$ |
5025.d1 |
5025a2 |
5025.d |
5025a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 67 \) |
\( - 3^{4} \cdot 5^{12} \cdot 67^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2010$ |
$16$ |
$0$ |
$3.750601271$ |
$1$ |
|
$2$ |
$34560$ |
$1.760616$ |
$-2989967081734144/380653171875$ |
$[0, -1, 1, -75033, -8712907]$ |
\(y^2+y=x^3-x^2-75033x-8712907\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 2010.16.0.? |
$[(477, 7987)]$ |
15075.g1 |
15075e2 |
15075.g |
15075e |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 67 \) |
\( - 3^{10} \cdot 5^{12} \cdot 67^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2010$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$2.309925$ |
$-2989967081734144/380653171875$ |
$[0, 0, 1, -675300, 235923781]$ |
\(y^2+y=x^3-675300x+235923781\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 2010.16.0.? |
$[]$ |
16080.d1 |
16080n2 |
16080.d |
16080n |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 67^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$804$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.649046$ |
$-2989967081734144/380653171875$ |
$[0, -1, 0, -48021, 4489821]$ |
\(y^2=x^3-x^2-48021x+4489821\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 804.16.0.? |
$[]$ |
48240.bh1 |
48240bx2 |
48240.bh |
48240bx |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( - 2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 67^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$804$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$2.198353$ |
$-2989967081734144/380653171875$ |
$[0, 0, 0, -432192, -120792976]$ |
\(y^2=x^3-432192x-120792976\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 804.16.0.? |
$[]$ |
49245.q1 |
49245q2 |
49245.q |
49245q |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 67 \) |
\( - 3^{4} \cdot 5^{6} \cdot 7^{6} \cdot 67^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2814$ |
$16$ |
$0$ |
$0.280486060$ |
$1$ |
|
$16$ |
$518400$ |
$1.928854$ |
$-2989967081734144/380653171875$ |
$[0, -1, 1, -147065, 24025868]$ |
\(y^2+y=x^3-x^2-147065x+24025868\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 2814.16.0.? |
$[(224, 1507), (894, 24622)]$ |
64320.bi1 |
64320i2 |
64320.bi |
64320i |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 67^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1608$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$1.302471$ |
$-2989967081734144/380653171875$ |
$[0, -1, 0, -12005, -555225]$ |
\(y^2=x^3-x^2-12005x-555225\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 1608.16.0.? |
$[]$ |
64320.ch1 |
64320cw2 |
64320.ch |
64320cw |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 67^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1608$ |
$16$ |
$0$ |
$0.138371540$ |
$1$ |
|
$4$ |
$207360$ |
$1.302471$ |
$-2989967081734144/380653171875$ |
$[0, 1, 0, -12005, 555225]$ |
\(y^2=x^3+x^2-12005x+555225\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 134.2.0.?, 402.8.0.?, 1608.16.0.? |
$[(-80, 1005)]$ |
67335.f1 |
67335e2 |
67335.f |
67335e |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 67^{2} \) |
\( - 3^{4} \cdot 5^{6} \cdot 67^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$402$ |
$16$ |
$0$ |
$1.457623570$ |
$1$ |
|
$4$ |
$6462720$ |
$3.058243$ |
$-2989967081734144/380653171875$ |
$[0, -1, 1, -13472985, 21028830023]$ |
\(y^2+y=x^3-x^2-13472985x+21028830023\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 134.2.0.?, 201.8.0.?, 402.16.0.? |
$[(849, 101002)]$ |
80400.dk1 |
80400df2 |
80400.dk |
80400df |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{12} \cdot 67^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$2.453766$ |
$-2989967081734144/380653171875$ |
$[0, 1, 0, -1200533, 558826563]$ |
\(y^2=x^3+x^2-1200533x+558826563\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 4020.16.0.? |
$[]$ |
121605.e1 |
121605k2 |
121605.e |
121605k |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 67 \) |
\( - 3^{4} \cdot 5^{6} \cdot 11^{6} \cdot 67^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4422$ |
$16$ |
$0$ |
$0.798764296$ |
$1$ |
|
$10$ |
$1555200$ |
$2.154846$ |
$-2989967081734144/380653171875$ |
$[0, 1, 1, -363161, 92920295]$ |
\(y^2+y=x^3+x^2-363161x+92920295\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 4422.16.0.? |
$[(667, 12160), (1261/2, 25121/2)]$ |
147735.t1 |
147735y2 |
147735.t |
147735y |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 67 \) |
\( - 3^{10} \cdot 5^{6} \cdot 7^{6} \cdot 67^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2814$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4147200$ |
$2.478161$ |
$-2989967081734144/380653171875$ |
$[0, 0, 1, -1323588, -647374856]$ |
\(y^2+y=x^3-1323588x-647374856\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 2814.16.0.? |
$[]$ |
169845.v1 |
169845q2 |
169845.v |
169845q |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 13^{2} \cdot 67 \) |
\( - 3^{4} \cdot 5^{6} \cdot 13^{6} \cdot 67^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5226$ |
$16$ |
$0$ |
$1.783501532$ |
$1$ |
|
$4$ |
$3317760$ |
$2.238373$ |
$-2989967081734144/380653171875$ |
$[0, 1, 1, -507225, -153746719]$ |
\(y^2+y=x^3+x^2-507225x-153746719\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 5226.16.0.? |
$[(2175, 95062)]$ |
192960.bc1 |
192960bj2 |
192960.bc |
192960bj |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( - 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 67^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1608$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$1.851778$ |
$-2989967081734144/380653171875$ |
$[0, 0, 0, -108048, -15099122]$ |
\(y^2=x^3-108048x-15099122\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 134.2.0.?, 402.8.0.?, 1608.16.0.? |
$[]$ |
192960.bv1 |
192960et2 |
192960.bv |
192960et |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( - 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 67^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1608$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$1.851778$ |
$-2989967081734144/380653171875$ |
$[0, 0, 0, -108048, 15099122]$ |
\(y^2=x^3-108048x+15099122\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 1608.16.0.? |
$[]$ |
202005.f1 |
202005g2 |
202005.f |
202005g |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 67^{2} \) |
\( - 3^{10} \cdot 5^{6} \cdot 67^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$402$ |
$16$ |
$0$ |
$19.04508889$ |
$1$ |
|
$0$ |
$51701760$ |
$3.607552$ |
$-2989967081734144/380653171875$ |
$[0, 0, 1, -121256868, -567657153761]$ |
\(y^2+y=x^3-121256868x-567657153761\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 134.2.0.?, 201.8.0.?, 402.16.0.? |
$[(6253242121/38, 494488802086439/38)]$ |
241200.em1 |
241200em2 |
241200.em |
241200em |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 67 \) |
\( - 2^{12} \cdot 3^{10} \cdot 5^{12} \cdot 67^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19906560$ |
$3.003071$ |
$-2989967081734144/380653171875$ |
$[0, 0, 0, -10804800, -15099122000]$ |
\(y^2=x^3-10804800x-15099122000\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 4020.16.0.? |
$[]$ |
246225.bm1 |
246225bm2 |
246225.bm |
246225bm |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 67 \) |
\( - 3^{4} \cdot 5^{12} \cdot 7^{6} \cdot 67^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14070$ |
$16$ |
$0$ |
$3.017751450$ |
$1$ |
|
$2$ |
$12441600$ |
$2.733574$ |
$-2989967081734144/380653171875$ |
$[0, 1, 1, -3676633, 2995880269]$ |
\(y^2+y=x^3+x^2-3676633x+2995880269\) |
3.4.0.a.1, 105.8.0.?, 134.2.0.?, 402.8.0.?, 14070.16.0.? |
$[(-187, 60637)]$ |
290445.c1 |
290445c2 |
290445.c |
290445c |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 17^{2} \cdot 67 \) |
\( - 3^{4} \cdot 5^{6} \cdot 17^{6} \cdot 67^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6834$ |
$16$ |
$0$ |
$2.212629612$ |
$1$ |
|
$2$ |
$7257600$ |
$2.372505$ |
$-2989967081734144/380653171875$ |
$[0, -1, 1, -867385, -343145994]$ |
\(y^2+y=x^3-x^2-867385x-343145994\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 6834.16.0.? |
$[(1180, 16582)]$ |
321600.dk1 |
321600dk2 |
321600.dk |
321600dk |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( - 2^{6} \cdot 3^{4} \cdot 5^{12} \cdot 67^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4976640$ |
$2.107189$ |
$-2989967081734144/380653171875$ |
$[0, -1, 0, -300133, 70003387]$ |
\(y^2=x^3-x^2-300133x+70003387\) |
3.4.0.a.1, 120.8.0.?, 134.2.0.?, 402.8.0.?, 8040.16.0.? |
$[]$ |
321600.gh1 |
321600gh2 |
321600.gh |
321600gh |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( - 2^{6} \cdot 3^{4} \cdot 5^{12} \cdot 67^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8040$ |
$16$ |
$0$ |
$4.775443350$ |
$1$ |
|
$2$ |
$4976640$ |
$2.107189$ |
$-2989967081734144/380653171875$ |
$[0, 1, 0, -300133, -70003387]$ |
\(y^2=x^3+x^2-300133x-70003387\) |
3.4.0.a.1, 120.8.0.?, 134.2.0.?, 402.8.0.?, 8040.16.0.? |
$[(1028, 26625)]$ |
336675.w1 |
336675w2 |
336675.w |
336675w |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 67^{2} \) |
\( - 3^{4} \cdot 5^{12} \cdot 67^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2010$ |
$16$ |
$0$ |
$7.335676294$ |
$1$ |
|
$0$ |
$155105280$ |
$3.862965$ |
$-2989967081734144/380653171875$ |
$[0, 1, 1, -336824633, 2627930103644]$ |
\(y^2+y=x^3+x^2-336824633x+2627930103644\) |
3.4.0.a.1, 30.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 1005.8.0.?, $\ldots$ |
$[(5101069/14, 9301695929/14)]$ |
362805.h1 |
362805h2 |
362805.h |
362805h |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 19^{2} \cdot 67 \) |
\( - 3^{4} \cdot 5^{6} \cdot 19^{6} \cdot 67^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7638$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10342080$ |
$2.428120$ |
$-2989967081734144/380653171875$ |
$[0, -1, 1, -1083481, 479828187]$ |
\(y^2+y=x^3-x^2-1083481x+479828187\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 7638.16.0.? |
$[]$ |
364815.t1 |
364815t2 |
364815.t |
364815t |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 67 \) |
\( - 3^{10} \cdot 5^{6} \cdot 11^{6} \cdot 67^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4422$ |
$16$ |
$0$ |
$1.486241582$ |
$1$ |
|
$0$ |
$12441600$ |
$2.704151$ |
$-2989967081734144/380653171875$ |
$[0, 0, 1, -3268452, -2512116423]$ |
\(y^2+y=x^3-3268452x-2512116423\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 4422.16.0.? |
$[(16313/2, 1824071/2)]$ |