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 |
198550.a1 |
198550bs1 |
198550.a |
198550bs |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{31} \cdot 5^{18} \cdot 11^{2} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1542758400$ |
$5.044975$ |
$-6076121652651798651688569/1205338112000000000000$ |
$1.03868$ |
$6.94203$ |
$[1, -1, 0, -34309531942, -2834476013502284]$ |
\(y^2+xy=x^3-x^2-34309531942x-2834476013502284\) |
152.2.0.? |
$[ ]$ |
198550.b1 |
198550bt1 |
198550.b |
198550bt |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{5} \cdot 5^{8} \cdot 11^{7} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1672$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$63504000$ |
$3.656334$ |
$4854288821119295/4277200188448$ |
$0.96202$ |
$5.46454$ |
$[1, 0, 1, 93088174, -249890227452]$ |
\(y^2+xy+y=x^3+93088174x-249890227452\) |
1672.2.0.? |
$[ ]$ |
198550.c1 |
198550bw4 |
198550.c |
198550bw |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{6} \cdot 5^{9} \cdot 11^{6} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$69672960$ |
$3.661552$ |
$8912089320684236569/5116268168000$ |
$0.96739$ |
$5.81674$ |
$[1, 0, 1, -389821526, 2960919185448]$ |
\(y^2+xy+y=x^3-389821526x+2960919185448\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[ ]$ |
198550.c2 |
198550bw3 |
198550.c |
198550bw |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{12} \cdot 5^{12} \cdot 11^{3} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$34836480$ |
$3.314980$ |
$3601910963276569/1618496000000$ |
$0.94651$ |
$5.17621$ |
$[1, 0, 1, -28821526, 28155185448]$ |
\(y^2+xy+y=x^3-28821526x+28155185448\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 60.24.0.q.1, $\ldots$ |
$[ ]$ |
198550.c3 |
198550bw2 |
198550.c |
198550bw |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{7} \cdot 11^{2} \cdot 19^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$23224320$ |
$3.112247$ |
$523002686860009/113851032020$ |
$0.92220$ |
$5.01803$ |
$[1, 0, 1, -15148651, -17925652302]$ |
\(y^2+xy+y=x^3-15148651x-17925652302\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[ ]$ |
198550.c4 |
198550bw1 |
198550.c |
198550bw |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{4} \cdot 5^{8} \cdot 11 \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$11612160$ |
$2.765675$ |
$434985385981609/30179600$ |
$0.91514$ |
$5.00292$ |
$[1, 0, 1, -14246151, -20696327302]$ |
\(y^2+xy+y=x^3-14246151x-20696327302\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 60.24.0.q.1, $\ldots$ |
$[ ]$ |
198550.d1 |
198550bu1 |
198550.d |
198550bu |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{11} \cdot 5^{8} \cdot 11 \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4740120$ |
$2.325371$ |
$-38401771585/22528$ |
$0.95307$ |
$4.50163$ |
$[1, 0, 1, -1854826, 972643548]$ |
\(y^2+xy+y=x^3-1854826x+972643548\) |
88.2.0.? |
$[ ]$ |
198550.e1 |
198550bv2 |
198550.e |
198550bv |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{9} \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3317760$ |
$2.150688$ |
$1039509197/484$ |
$0.93121$ |
$4.33761$ |
$[1, 0, 1, -952326, -357641452]$ |
\(y^2+xy+y=x^3-952326x-357641452\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.? |
$[ ]$ |
198550.e2 |
198550bv1 |
198550.e |
198550bv |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{9} \cdot 11 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1658880$ |
$1.804115$ |
$-148877/176$ |
$0.84151$ |
$3.70325$ |
$[1, 0, 1, -49826, -7471452]$ |
\(y^2+xy+y=x^3-49826x-7471452\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.? |
$[ ]$ |
198550.f1 |
198550bx2 |
198550.f |
198550bx |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{18} \cdot 5^{6} \cdot 11 \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12540$ |
$16$ |
$0$ |
$17.31181500$ |
$1$ |
|
$0$ |
$39890880$ |
$3.462963$ |
$7401701968633/2883584$ |
$0.99223$ |
$5.63447$ |
$[1, 0, 1, -185775301, 974264635248]$ |
\(y^2+xy+y=x^3-185775301x+974264635248\) |
3.4.0.a.1, 44.2.0.a.1, 132.8.0.?, 285.8.0.?, 12540.16.0.? |
$[(2358341483/541, 2965412863182/541)]$ |
198550.f2 |
198550bx1 |
198550.f |
198550bx |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{6} \cdot 5^{6} \cdot 11^{3} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12540$ |
$16$ |
$0$ |
$5.770605002$ |
$1$ |
|
$2$ |
$13296960$ |
$2.913654$ |
$329474953/85184$ |
$0.92430$ |
$4.81310$ |
$[1, 0, 1, -6583926, -4837037752]$ |
\(y^2+xy+y=x^3-6583926x-4837037752\) |
3.4.0.a.1, 44.2.0.a.1, 132.8.0.?, 285.8.0.?, 12540.16.0.? |
$[(3093, 64717)]$ |
198550.g1 |
198550by2 |
198550.g |
198550by |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2 \cdot 5^{8} \cdot 11^{2} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1672$ |
$12$ |
$0$ |
$2.059707530$ |
$1$ |
|
$4$ |
$921600$ |
$1.496950$ |
$2102563367731/6050$ |
$0.91777$ |
$3.84170$ |
$[1, 0, 1, -126776, 17363448]$ |
\(y^2+xy+y=x^3-126776x+17363448\) |
2.3.0.a.1, 88.6.0.?, 152.6.0.?, 836.6.0.?, 1672.12.0.? |
$[(212, 56)]$ |
198550.g2 |
198550by1 |
198550.g |
198550by |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{10} \cdot 11 \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1672$ |
$12$ |
$0$ |
$1.029853765$ |
$1$ |
|
$7$ |
$460800$ |
$1.150377$ |
$533411731/27500$ |
$0.83832$ |
$3.16300$ |
$[1, 0, 1, -8026, 263448]$ |
\(y^2+xy+y=x^3-8026x+263448\) |
2.3.0.a.1, 88.6.0.?, 152.6.0.?, 418.6.0.?, 1672.12.0.? |
$[(22, 301)]$ |
198550.h1 |
198550bz1 |
198550.h |
198550bz |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{6} \cdot 11 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$44$ |
$2$ |
$0$ |
$1.852436545$ |
$1$ |
|
$2$ |
$1915200$ |
$1.785347$ |
$130321/44$ |
$0.93585$ |
$3.68806$ |
$[1, 0, 1, -67876, 4387398]$ |
\(y^2+xy+y=x^3-67876x+4387398\) |
44.2.0.a.1 |
$[(391, 5941)]$ |
198550.i1 |
198550cb2 |
198550.i |
198550cb |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{2} \cdot 11^{3} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$25080$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$682344$ |
$1.236296$ |
$-53969305/10648$ |
$0.89387$ |
$3.19563$ |
$[1, 0, 1, -8311, 336978]$ |
\(y^2+xy+y=x^3-8311x+336978\) |
3.4.0.a.1, 88.2.0.?, 264.8.0.?, 285.8.0.?, 25080.16.0.? |
$[ ]$ |
198550.i2 |
198550cb1 |
198550.i |
198550cb |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2 \cdot 5^{2} \cdot 11 \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$25080$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$227448$ |
$0.686990$ |
$34295/22$ |
$0.82040$ |
$2.56814$ |
$[1, 0, 1, 714, -2362]$ |
\(y^2+xy+y=x^3+714x-2362\) |
3.4.0.a.1, 88.2.0.?, 264.8.0.?, 285.8.0.?, 25080.16.0.? |
$[ ]$ |
198550.j1 |
198550ca3 |
198550.j |
198550ca |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{6} \cdot 5^{12} \cdot 11 \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$5.714929706$ |
$1$ |
|
$1$ |
$22394880$ |
$3.064945$ |
$210103680895849/75449000000$ |
$0.92271$ |
$4.94327$ |
$[1, 0, 1, -11177651, 8859645198]$ |
\(y^2+xy+y=x^3-11177651x+8859645198\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.d.1, 120.24.0.?, $\ldots$ |
$[(664447/9, 496344824/9)]$ |
198550.j2 |
198550ca1 |
198550.j |
198550ca |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{8} \cdot 11^{3} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$1.904976568$ |
$1$ |
|
$3$ |
$7464960$ |
$2.515636$ |
$15868125221689/2528900$ |
$0.89207$ |
$4.73150$ |
$[1, 0, 1, -4724776, -3952786302]$ |
\(y^2+xy+y=x^3-4724776x-3952786302\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.d.1, 120.24.0.?, $\ldots$ |
$[(8067, 690891)]$ |
198550.j3 |
198550ca2 |
198550.j |
198550ca |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2 \cdot 5^{7} \cdot 11^{6} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$3.809953137$ |
$1$ |
|
$2$ |
$14929920$ |
$2.862213$ |
$-11741970526489/6395335210$ |
$0.90056$ |
$4.76119$ |
$[1, 0, 1, -4273526, -4737961302]$ |
\(y^2+xy+y=x^3-4273526x-4737961302\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.a.1, 120.24.0.?, $\ldots$ |
$[(5046, 317142)]$ |
198550.j4 |
198550ca4 |
198550.j |
198550ca |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{9} \cdot 11^{2} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$11.42985941$ |
$1$ |
|
$0$ |
$44789760$ |
$3.411518$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$5.21646$ |
$[1, 0, 1, 33947349, 62377895198]$ |
\(y^2+xy+y=x^3+33947349x+62377895198\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.a.1, 120.24.0.?, $\ldots$ |
$[(2172771/26, 7923744167/26)]$ |
198550.k1 |
198550cc1 |
198550.k |
198550cc |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2 \cdot 5^{4} \cdot 11^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.323816207$ |
$1$ |
|
$6$ |
$59616$ |
$0.167277$ |
$59375/242$ |
$0.85500$ |
$2.05899$ |
$[1, 1, 0, 50, 350]$ |
\(y^2+xy=x^3+x^2+50x+350\) |
8.2.0.a.1 |
$[(5, 25)]$ |
198550.l1 |
198550ce2 |
198550.l |
198550ce |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{2} \cdot 11^{6} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$5.727513522$ |
$1$ |
|
$0$ |
$4875552$ |
$2.388432$ |
$-575550732865/14172488$ |
$0.90971$ |
$4.41803$ |
$[1, 1, 0, -1302495, -584742035]$ |
\(y^2+xy=x^3+x^2-1302495x-584742035\) |
3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.1, 24.8.0.a.1, 120.16.0.? |
$[(8559/2, 632983/2)]$ |
198550.l2 |
198550ce1 |
198550.l |
198550ce |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{9} \cdot 5^{2} \cdot 11^{2} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1.909171174$ |
$1$ |
|
$0$ |
$1625184$ |
$1.839127$ |
$86703935/61952$ |
$0.85075$ |
$3.69318$ |
$[1, 1, 0, 69305, -3373195]$ |
\(y^2+xy=x^3+x^2+69305x-3373195\) |
3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.2, 24.8.0.a.1, 120.16.0.? |
$[(239/2, 7703/2)]$ |
198550.m1 |
198550cf1 |
198550.m |
198550cf |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{5} \cdot 5^{8} \cdot 11^{4} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$3.824045442$ |
$1$ |
|
$2$ |
$5529600$ |
$2.559696$ |
$-11867954041/222543200$ |
$0.89530$ |
$4.42904$ |
$[1, 1, 0, -428875, -624971875]$ |
\(y^2+xy=x^3+x^2-428875x-624971875\) |
152.2.0.? |
$[(25705, 4107060)]$ |
198550.n1 |
198550cd2 |
198550.n |
198550cd |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{8} \cdot 11^{6} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$456$ |
$16$ |
$0$ |
$5.531074469$ |
$1$ |
|
$0$ |
$1283040$ |
$1.720932$ |
$-575550732865/14172488$ |
$0.90971$ |
$3.76141$ |
$[1, 1, 0, -90200, 10609000]$ |
\(y^2+xy=x^3+x^2-90200x+10609000\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 57.8.0-3.a.1.2, 456.16.0.? |
$[(10719/7, 369104/7)]$ |
198550.n2 |
198550cd1 |
198550.n |
198550cd |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{9} \cdot 5^{8} \cdot 11^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$456$ |
$16$ |
$0$ |
$1.843691489$ |
$1$ |
|
$2$ |
$427680$ |
$1.171627$ |
$86703935/61952$ |
$0.85075$ |
$3.03656$ |
$[1, 1, 0, 4800, 64000]$ |
\(y^2+xy=x^3+x^2+4800x+64000\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 57.8.0-3.a.1.1, 456.16.0.? |
$[(135, 1720)]$ |
198550.o1 |
198550cg1 |
198550.o |
198550cg |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2 \cdot 5^{10} \cdot 11^{2} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$5.791258156$ |
$1$ |
|
$2$ |
$5663520$ |
$2.444214$ |
$59375/242$ |
$0.85500$ |
$4.29882$ |
$[1, 1, 0, 446550, -282157250]$ |
\(y^2+xy=x^3+x^2+446550x-282157250\) |
8.2.0.a.1 |
$[(54661, 12753333)]$ |
198550.p1 |
198550cj1 |
198550.p |
198550cj |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{14} \cdot 5^{6} \cdot 11 \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$44$ |
$2$ |
$0$ |
$4.727252765$ |
$1$ |
|
$8$ |
$326592$ |
$1.104343$ |
$11382465033/180224$ |
$1.05394$ |
$3.17251$ |
$[1, -1, 0, -8342, 291316]$ |
\(y^2+xy=x^3-x^2-8342x+291316\) |
44.2.0.a.1 |
$[(60, 34), (412/3, 1046/3)]$ |
198550.q1 |
198550ck2 |
198550.q |
198550ck |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{14} \cdot 5^{6} \cdot 11 \cdot 19^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$29260$ |
$96$ |
$2$ |
$96.78184720$ |
$1$ |
|
$2$ |
$93844800$ |
$3.963680$ |
$178286568215258258721/180224$ |
$1.06691$ |
$6.54508$ |
$[1, -1, 0, -7534965167, -251748410642259]$ |
\(y^2+xy=x^3-x^2-7534965167x-251748410642259\) |
7.8.0.a.1, 35.16.0-7.a.1.2, 44.2.0.a.1, 133.24.0.?, 308.16.0.?, $\ldots$ |
$[(262718, 125970273), (-365076524095/2699, 492561273036206/2699)]$ |
198550.q2 |
198550ck1 |
198550.q |
198550ck |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{6} \cdot 11^{7} \cdot 19^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$29260$ |
$96$ |
$2$ |
$1.975139738$ |
$1$ |
|
$8$ |
$13406400$ |
$2.990726$ |
$296518892481/77948684$ |
$1.07421$ |
$4.88798$ |
$[1, -1, 0, -8927417, 7586812241]$ |
\(y^2+xy=x^3-x^2-8927417x+7586812241\) |
7.8.0.a.1, 35.16.0-7.a.1.1, 44.2.0.a.1, 133.24.0.?, 308.16.0.?, $\ldots$ |
$[(10018, 955973), (-1895, 133976)]$ |
198550.r1 |
198550cl2 |
198550.r |
198550cl |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{12} \cdot 11 \cdot 19^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4180$ |
$12$ |
$0$ |
$7.253168862$ |
$1$ |
|
$10$ |
$4976640$ |
$2.588924$ |
$702358299369/248187500$ |
$0.90127$ |
$4.47593$ |
$[1, -1, 0, -1671317, 519370841]$ |
\(y^2+xy=x^3-x^2-1671317x+519370841\) |
2.3.0.a.1, 44.6.0.a.1, 380.6.0.?, 4180.12.0.? |
$[(1145, 9716), (1114, 5693)]$ |
198550.r2 |
198550cl1 |
198550.r |
198550cl |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{9} \cdot 11^{2} \cdot 19^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4180$ |
$12$ |
$0$ |
$7.253168862$ |
$1$ |
|
$11$ |
$2488320$ |
$2.242352$ |
$4665834711/4598000$ |
$0.90165$ |
$4.06489$ |
$[1, -1, 0, 314183, 56749341]$ |
\(y^2+xy=x^3-x^2+314183x+56749341\) |
2.3.0.a.1, 44.6.0.b.1, 190.6.0.?, 4180.12.0.? |
$[(309, 13383), (12779/5, 2308957/5)]$ |
198550.s1 |
198550cm4 |
198550.s |
198550cm |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{18} \cdot 11 \cdot 19^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8360$ |
$48$ |
$0$ |
$124.5734351$ |
$1$ |
|
$2$ |
$318504960$ |
$4.593132$ |
$17628594000102642361428441/248187500000000$ |
$1.12138$ |
$7.00519$ |
$[1, -1, 0, -48934129292, -4166435191470384]$ |
\(y^2+xy=x^3-x^2-48934129292x-4166435191470384\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 44.12.0.h.1, 152.12.0.?, $\ldots$ |
$[(630824, 464435988), (21196879501/237, 2345483864896319/237)]$ |
198550.s2 |
198550cm3 |
198550.s |
198550cm |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{9} \cdot 11^{4} \cdot 19^{14} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8360$ |
$48$ |
$0$ |
$31.14335879$ |
$1$ |
|
$4$ |
$318504960$ |
$4.593132$ |
$13756443594716753103321/7957003087464992000$ |
$1.13741$ |
$6.41859$ |
$[1, -1, 0, -4505137292, 2577802257616]$ |
\(y^2+xy=x^3-x^2-4505137292x+2577802257616\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 76.12.0.?, $\ldots$ |
$[(-2712, 3845284), (-60869/3, 154576741/3)]$ |
198550.s3 |
198550cm2 |
198550.s |
198550cm |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{16} \cdot 5^{12} \cdot 11^{2} \cdot 19^{10} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4180$ |
$48$ |
$0$ |
$124.5734351$ |
$1$ |
|
$4$ |
$159252480$ |
$4.246559$ |
$4315493878427398863321/16147293184000000$ |
$1.03931$ |
$6.32356$ |
$[1, -1, 0, -3061137292, -64976849742384]$ |
\(y^2+xy=x^3-x^2-3061137292x-64976849742384\) |
2.6.0.a.1, 20.12.0.b.1, 44.12.0.a.1, 76.12.0.?, 220.24.0.?, $\ldots$ |
$[(344709, 199426083), (265108984/41, 3998395342628/41)]$ |
198550.s4 |
198550cm1 |
198550.s |
198550cm |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{32} \cdot 5^{9} \cdot 11 \cdot 19^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8360$ |
$48$ |
$0$ |
$124.5734351$ |
$1$ |
|
$5$ |
$79626240$ |
$3.899986$ |
$-168380411424176601/2131914391552000$ |
$1.01363$ |
$5.74798$ |
$[1, -1, 0, -103825292, -1947659086384]$ |
\(y^2+xy=x^3-x^2-103825292x-1947659086384\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 76.12.0.?, 88.12.0.?, $\ldots$ |
$[(17029, 1097048), (43050098997229/22276, 279602574800769899273/22276)]$ |
198550.t1 |
198550cn4 |
198550.t |
198550cn |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{4} \cdot 5^{8} \cdot 11 \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8360$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$26542080$ |
$3.304501$ |
$1430524893619449081/573412400$ |
$1.01106$ |
$5.66678$ |
$[1, -1, 0, -211854542, -1186821081884]$ |
\(y^2+xy=x^3-x^2-211854542x-1186821081884\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0.h.1, 152.12.0.?, $\ldots$ |
$[ ]$ |
198550.t2 |
198550cn2 |
198550.t |
198550cn |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{10} \cdot 11^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4180$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$13271040$ |
$2.957928$ |
$354308756121081/6988960000$ |
$1.03426$ |
$4.98610$ |
$[1, -1, 0, -13304542, -18354331884]$ |
\(y^2+xy=x^3-x^2-13304542x-18354331884\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 44.12.0.a.1, 76.12.0.?, 220.24.0.?, $\ldots$ |
$[ ]$ |
198550.t3 |
198550cn1 |
198550.t |
198550cn |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{16} \cdot 5^{8} \cdot 11 \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6635520$ |
$2.611355$ |
$809818183161/342425600$ |
$0.98077$ |
$4.48760$ |
$[1, -1, 0, -1752542, 463876116]$ |
\(y^2+xy=x^3-x^2-1752542x+463876116\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 88.12.0.?, 152.12.0.?, $\ldots$ |
$[ ]$ |
198550.t4 |
198550cn3 |
198550.t |
198550cn |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{14} \cdot 11^{4} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8360$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$26542080$ |
$3.304501$ |
$10633486599/1738618750000$ |
$1.08300$ |
$5.16134$ |
$[1, -1, 0, 413458, -54391517884]$ |
\(y^2+xy=x^3-x^2+413458x-54391517884\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 38.6.0.b.1, 76.12.0.?, $\ldots$ |
$[ ]$ |
198550.u1 |
198550ci2 |
198550.u |
198550ci |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{4} \cdot 5^{9} \cdot 11^{2} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$5.659440344$ |
$1$ |
|
$2$ |
$82944000$ |
$3.713436$ |
$116755936401534093/91080825616$ |
$1.02298$ |
$5.85717$ |
$[1, -1, 0, -459482492, 3788539508416]$ |
\(y^2+xy=x^3-x^2-459482492x+3788539508416\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(13644, 236428)]$ |
198550.u2 |
198550ci1 |
198550.u |
198550ci |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 11^{4} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$11.31888068$ |
$1$ |
|
$1$ |
$41472000$ |
$3.366859$ |
$-14027163209613/25708190464$ |
$1.00061$ |
$5.23419$ |
$[1, -1, 0, -22672492, 84827518416]$ |
\(y^2+xy=x^3-x^2-22672492x+84827518416\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[(12392/7, 96430412/7)]$ |
198550.v1 |
198550co1 |
198550.v |
198550co |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2 \cdot 5^{8} \cdot 11 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$20.58654489$ |
$1$ |
|
$0$ |
$1838592$ |
$2.014309$ |
$-2520369/550$ |
$0.79961$ |
$3.95711$ |
$[1, -1, 0, -182192, -35080034]$ |
\(y^2+xy=x^3-x^2-182192x-35080034\) |
88.2.0.? |
$[(848651109/305, 24564495402038/305)]$ |
198550.w1 |
198550ch2 |
198550.w |
198550ch |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{16} \cdot 5^{3} \cdot 11^{8} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53084160$ |
$3.801826$ |
$4491338515653872443653/5071408728702976$ |
$1.07083$ |
$5.93103$ |
$[1, -1, 0, -620432537, 5942609471021]$ |
\(y^2+xy=x^3-x^2-620432537x+5942609471021\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[ ]$ |
198550.w2 |
198550ch1 |
198550.w |
198550ch |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{32} \cdot 5^{3} \cdot 11^{4} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$26542080$ |
$3.455254$ |
$-457239508039360773/1194769707433984$ |
$1.13335$ |
$5.31745$ |
$[1, -1, 0, -28970137, 140954789421]$ |
\(y^2+xy=x^3-x^2-28970137x+140954789421\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[ ]$ |
198550.x1 |
198550cp1 |
198550.x |
198550cp |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2 \cdot 5^{2} \cdot 11 \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1672$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$259200$ |
$0.932448$ |
$663255/418$ |
$0.88059$ |
$2.81097$ |
$[1, -1, 0, 1918, 9166]$ |
\(y^2+xy=x^3-x^2+1918x+9166\) |
1672.2.0.? |
$[ ]$ |
198550.y1 |
198550cq1 |
198550.y |
198550cq |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{11} \cdot 5^{6} \cdot 11 \cdot 19^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$4.239320015$ |
$1$ |
|
$6$ |
$633600$ |
$1.308126$ |
$21414159/22528$ |
$0.96194$ |
$3.14080$ |
$[1, -1, 0, 7333, 216741]$ |
\(y^2+xy=x^3-x^2+7333x+216741\) |
88.2.0.? |
$[(119, 1603), (5, 501)]$ |
198550.z1 |
198550cu1 |
198550.z |
198550cu |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{7} \cdot 5^{7} \cdot 11^{3} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$25080$ |
$16$ |
$0$ |
$4.428467196$ |
$1$ |
|
$2$ |
$4245696$ |
$2.229748$ |
$-76711450249/851840$ |
$0.93960$ |
$4.29596$ |
$[1, 0, 1, -798901, -277535552]$ |
\(y^2+xy+y=x^3-798901x-277535552\) |
3.4.0.a.1, 285.8.0.?, 440.2.0.?, 1320.8.0.?, 5016.8.0.?, $\ldots$ |
$[(2582, 120671)]$ |
198550.z2 |
198550cu2 |
198550.z |
198550cu |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{21} \cdot 5^{9} \cdot 11 \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$25080$ |
$16$ |
$0$ |
$13.28540159$ |
$1$ |
|
$0$ |
$12737088$ |
$2.779053$ |
$2882081488391/2883584000$ |
$0.98944$ |
$4.59167$ |
$[1, 0, 1, 2675724, -1438060302]$ |
\(y^2+xy+y=x^3+2675724x-1438060302\) |
3.4.0.a.1, 285.8.0.?, 440.2.0.?, 1320.8.0.?, 5016.8.0.?, $\ldots$ |
$[(6812527/54, 20685762539/54)]$ |
198550.ba1 |
198550cw1 |
198550.ba |
198550cw |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2 \cdot 5^{11} \cdot 11^{7} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8360$ |
$2$ |
$0$ |
$14.21702029$ |
$1$ |
|
$0$ |
$102144000$ |
$3.822758$ |
$-13856857998859/121794818750$ |
$0.97533$ |
$5.67275$ |
$[1, 0, 1, -85805376, 1230884517648]$ |
\(y^2+xy+y=x^3-85805376x+1230884517648\) |
8360.2.0.? |
$[(113680956/41, 1200760709776/41)]$ |