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 |
388416.a1 |
388416a1 |
388416.a |
388416a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{2} \cdot 17^{3} \) |
$3$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$2856$ |
$48$ |
$1$ |
$1.656882960$ |
$1$ |
|
$45$ |
$950272$ |
$0.997594$ |
$1335255248/441$ |
$0.89614$ |
$3.04713$ |
$[0, -1, 0, -9905, 382641]$ |
\(y^2=x^3-x^2-9905x+382641\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 34.6.0.a.1, 68.12.0.k.1, $\ldots$ |
$[(91, 476), (56, 21), (-7, 672)]$ |
388416.a2 |
388416a2 |
388416.a |
388416a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 7^{4} \cdot 17^{3} \) |
$3$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$2856$ |
$48$ |
$1$ |
$3.313765920$ |
$1$ |
|
$43$ |
$1900544$ |
$1.344168$ |
$-214330532/194481$ |
$0.91609$ |
$3.08599$ |
$[0, -1, 0, -8545, 490081]$ |
\(y^2=x^3-x^2-8545x+490081\) |
2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 168.24.0.?, 2856.48.1.? |
$[(-15, 784), (49, 432), (-79, 816)]$ |
388416.b1 |
388416b2 |
388416.b |
388416b |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{5} \cdot 7 \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$80.29281478$ |
$1$ |
|
$1$ |
$31334400$ |
$2.879997$ |
$20150293992128/1701$ |
$0.99817$ |
$5.00791$ |
$[0, -1, 0, -44564185, -114490827719]$ |
\(y^2=x^3-x^2-44564185x-114490827719\) |
2.3.0.a.1, 68.6.0.b.1, 84.6.0.?, 714.6.0.?, 1428.12.0.? |
$[(72741167885318825663929606010704497/626770376838608, 19605724183464584236351071804535238504185940722525321/626770376838608)]$ |
388416.b2 |
388416b1 |
388416.b |
388416b |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 7^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$40.14640739$ |
$1$ |
|
$1$ |
$15667200$ |
$2.533424$ |
$-312770295872/2893401$ |
$0.96813$ |
$4.36233$ |
$[0, -1, 0, -2779120, -1796507414]$ |
\(y^2=x^3-x^2-2779120x-1796507414\) |
2.3.0.a.1, 68.6.0.a.1, 84.6.0.?, 1428.12.0.? |
$[(19001252571813826641/10131248, 82823675853991174806917979559/10131248)]$ |
388416.c1 |
388416c1 |
388416.c |
388416c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 7^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4976640$ |
$1.878689$ |
$92100460096/20253807$ |
$1.03479$ |
$3.60567$ |
$[0, -1, 0, -108760, -10834214]$ |
\(y^2=x^3-x^2-108760x-10834214\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[ ]$ |
388416.c2 |
388416c2 |
388416.c |
388416c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 7^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9953280$ |
$2.225262$ |
$15926924096/28588707$ |
$1.04804$ |
$3.85017$ |
$[0, -1, 0, 242375, -66664679]$ |
\(y^2=x^3-x^2+242375x-66664679\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[ ]$ |
388416.d1 |
388416d1 |
388416.d |
388416d |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{25} \cdot 3^{19} \cdot 7 \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$16.01950463$ |
$1$ |
|
$0$ |
$277831680$ |
$4.152260$ |
$150900148890919/1041386274432$ |
$1.14332$ |
$5.67329$ |
$[0, -1, 0, 348750943, 8285714006049]$ |
\(y^2=x^3-x^2+348750943x+8285714006049\) |
2856.2.0.? |
$[(14482418113/413, 1795988963796224/413)]$ |
388416.e1 |
388416e1 |
388416.e |
388416e |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{7} \cdot 7 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$3.113901907$ |
$1$ |
|
$2$ |
$3612672$ |
$2.011623$ |
$449455096/260253$ |
$1.00718$ |
$3.67682$ |
$[0, -1, 0, 147583, -576159]$ |
\(y^2=x^3-x^2+147583x-576159\) |
2856.2.0.? |
$[(1621, 67048)]$ |
388416.f1 |
388416f1 |
388416.f |
388416f |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{35} \cdot 3^{5} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$32.55443472$ |
$1$ |
|
$0$ |
$79902720$ |
$3.381187$ |
$2280364702703/1560674304$ |
$1.00470$ |
$4.94161$ |
$[0, -1, 0, 33532863, -31952231199]$ |
\(y^2=x^3-x^2+33532863x-31952231199\) |
24.2.0.b.1 |
$[(714067154337971/70403, 19096567945965347468428/70403)]$ |
388416.g1 |
388416g1 |
388416.g |
388416g |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3^{7} \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13160448$ |
$2.515972$ |
$-2343314/107163$ |
$0.94316$ |
$4.15690$ |
$[0, -1, 0, -268577, -479160159]$ |
\(y^2=x^3-x^2-268577x-479160159\) |
24.2.0.b.1 |
$[ ]$ |
388416.h1 |
388416h1 |
388416.h |
388416h |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3 \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5170176$ |
$1.972694$ |
$-9373256/147$ |
$0.81000$ |
$3.81847$ |
$[0, -1, 0, -268577, -54205311]$ |
\(y^2=x^3-x^2-268577x-54205311\) |
24.2.0.b.1 |
$[ ]$ |
388416.i1 |
388416i1 |
388416.i |
388416i |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3^{9} \cdot 7^{2} \cdot 17^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$278691840$ |
$4.086182$ |
$-6434900743458429657088/395758108932291$ |
$1.06283$ |
$5.97673$ |
$[0, -1, 0, -2844311797, 58390748905069]$ |
\(y^2=x^3-x^2-2844311797x+58390748905069\) |
102.2.0.? |
$[ ]$ |
388416.j1 |
388416j3 |
388416.j |
388416j |
$3$ |
$9$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 3 \cdot 7^{3} \cdot 17^{15} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.5 |
3B |
$8568$ |
$144$ |
$3$ |
$3.452702990$ |
$1$ |
|
$2$ |
$537477120$ |
$4.300438$ |
$-6150311179917589675873/244053849830826$ |
$1.03702$ |
$6.18864$ |
$[0, -1, 0, -7059960577, 228334161950881]$ |
\(y^2=x^3-x^2-7059960577x+228334161950881\) |
3.4.0.a.1, 9.36.0.d.2, 42.8.0-3.a.1.2, 126.72.0.?, 408.8.0.?, $\ldots$ |
$[(43509, 1877344)]$ |
388416.j2 |
388416j2 |
388416.j |
388416j |
$3$ |
$9$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 7^{9} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$8568$ |
$144$ |
$3$ |
$1.150900996$ |
$1$ |
|
$4$ |
$179159040$ |
$3.751133$ |
$-101566487155393/42823570577256$ |
$1.05717$ |
$5.30855$ |
$[0, -1, 0, -17978497, 792533103649]$ |
\(y^2=x^3-x^2-17978497x+792533103649\) |
3.12.0.a.1, 9.36.0.a.1, 42.24.0-3.a.1.1, 126.72.0.?, 408.24.0.?, $\ldots$ |
$[(-2187, 906304)]$ |
388416.j3 |
388416j1 |
388416.j |
388416j |
$3$ |
$9$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{27} \cdot 3^{9} \cdot 7^{3} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$8568$ |
$144$ |
$3$ |
$3.452702990$ |
$1$ |
|
$2$ |
$59719680$ |
$3.201824$ |
$139233463487/58763045376$ |
$1.03208$ |
$4.79618$ |
$[0, -1, 0, 1997183, -29318308319]$ |
\(y^2=x^3-x^2+1997183x-29318308319\) |
3.4.0.a.1, 9.36.0.d.1, 42.8.0-3.a.1.1, 126.72.0.?, 408.8.0.?, $\ldots$ |
$[(72885, 19679744)]$ |
388416.k1 |
388416k1 |
388416.k |
388416k |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{10} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.407933440$ |
$1$ |
|
$8$ |
$4423680$ |
$1.914221$ |
$57604806136/7626831723$ |
$1.03210$ |
$3.59514$ |
$[0, -1, 0, 17023, -12907551]$ |
\(y^2=x^3-x^2+17023x-12907551\) |
24.2.0.b.1 |
$[(253, 2744)]$ |
388416.l1 |
388416l1 |
388416.l |
388416l |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 3^{3} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1.895001141$ |
$1$ |
|
$2$ |
$497664$ |
$0.889204$ |
$-11984473/2646$ |
$0.85812$ |
$2.70131$ |
$[0, -1, 0, -2017, -40319]$ |
\(y^2=x^3-x^2-2017x-40319\) |
3.4.0.a.1, 24.8.0.d.1, 204.8.0.?, 408.16.0.? |
$[(141, 1568)]$ |
388416.l2 |
388416l2 |
388416.l |
388416l |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{21} \cdot 3 \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$0.631667047$ |
$1$ |
|
$4$ |
$1492992$ |
$1.438511$ |
$4271073047/2823576$ |
$0.96443$ |
$3.13277$ |
$[0, -1, 0, 14303, 243649]$ |
\(y^2=x^3-x^2+14303x+243649\) |
3.4.0.a.1, 24.8.0.d.1, 204.8.0.?, 408.16.0.? |
$[(-3, 448)]$ |
388416.m1 |
388416m1 |
388416.m |
388416m |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{23} \cdot 3^{3} \cdot 7^{2} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28200960$ |
$2.974121$ |
$30004847/42336$ |
$0.94258$ |
$4.53689$ |
$[0, -1, 0, 5233983, 5525390529]$ |
\(y^2=x^3-x^2+5233983x+5525390529\) |
24.2.0.b.1 |
$[ ]$ |
388416.n1 |
388416n2 |
388416.n |
388416n |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{39} \cdot 3^{5} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$6.703078706$ |
$1$ |
|
$0$ |
$52254720$ |
$3.320091$ |
$-42484640023394137/59954864062464$ |
$1.06227$ |
$4.92100$ |
$[0, -1, 0, -20336737, -65450706719]$ |
\(y^2=x^3-x^2-20336737x-65450706719\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 24.16.0-24.d.1.2 |
$[(2989305/23, 78675968/23)]$ |
388416.n2 |
388416n1 |
388416.n |
388416n |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{25} \cdot 3^{15} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$2.234359568$ |
$1$ |
|
$2$ |
$17418240$ |
$2.770782$ |
$49218965184023/89996344704$ |
$1.04269$ |
$4.35955$ |
$[0, -1, 0, 2135903, 1764959521]$ |
\(y^2=x^3-x^2+2135903x+1764959521\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 24.16.0-24.d.1.1 |
$[(3321, 213248)]$ |
388416.o1 |
388416o1 |
388416.o |
388416o |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3^{7} \cdot 7^{6} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$2.703510751$ |
$1$ |
|
$2$ |
$59222016$ |
$3.372581$ |
$-130098552670514/257298363$ |
$0.98992$ |
$5.20224$ |
$[0, -1, 0, -102458977, -399831382559]$ |
\(y^2=x^3-x^2-102458977x-399831382559\) |
24.2.0.b.1 |
$[(16377, 1521296)]$ |
388416.p1 |
388416p1 |
388416.p |
388416p |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$3.077990689$ |
$1$ |
|
$2$ |
$2580480$ |
$1.685373$ |
$-8390176768/1821771$ |
$0.90870$ |
$3.44426$ |
$[0, -1, 0, -48937, -4870121]$ |
\(y^2=x^3-x^2-48937x-4870121\) |
102.2.0.? |
$[(618, 14161)]$ |
388416.q1 |
388416q1 |
388416.q |
388416q |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 7^{4} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$11.57841335$ |
$1$ |
|
$0$ |
$15925248$ |
$2.638115$ |
$-11632923639808/318495051$ |
$1.03083$ |
$4.41610$ |
$[0, -1, 0, -3464917, -2539379891]$ |
\(y^2=x^3-x^2-3464917x-2539379891\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 102.8.0.?, 408.16.0.? |
$[(7680612/11, 21276556567/11)]$ |
388416.q2 |
388416q2 |
388416.q |
388416q |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3 \cdot 7^{12} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$3.859471118$ |
$1$ |
|
$2$ |
$47775744$ |
$3.187420$ |
$1021544365555712/705905647251$ |
$1.08891$ |
$4.76024$ |
$[0, -1, 0, 15401003, -10253654579]$ |
\(y^2=x^3-x^2+15401003x-10253654579\) |
3.4.0.a.1, 24.8.0-3.a.1.8, 102.8.0.?, 408.16.0.? |
$[(1740, 147679)]$ |
388416.r1 |
388416r2 |
388416.r |
388416r |
$2$ |
$5$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 3^{5} \cdot 7^{5} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$14280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$52224000$ |
$3.194183$ |
$-14544652121/8168202$ |
$0.96339$ |
$4.82169$ |
$[0, -1, 0, -15990177, -34541578719]$ |
\(y^2=x^3-x^2-15990177x-34541578719\) |
5.6.0.a.1, 85.12.0.?, 680.24.0.?, 840.12.0.?, 2856.2.0.?, $\ldots$ |
$[ ]$ |
388416.r2 |
388416r1 |
388416.r |
388416r |
$2$ |
$5$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{23} \cdot 3 \cdot 7 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$14280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$10444800$ |
$2.389465$ |
$-68921/672$ |
$0.88308$ |
$4.04032$ |
$[0, -1, 0, -268577, 226425249]$ |
\(y^2=x^3-x^2-268577x+226425249\) |
5.6.0.a.1, 85.12.0.?, 680.24.0.?, 840.12.0.?, 2856.2.0.?, $\ldots$ |
$[ ]$ |
388416.s1 |
388416s1 |
388416.s |
388416s |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 7^{10} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.076038959$ |
$1$ |
|
$2$ |
$5447680$ |
$2.082386$ |
$-14008675513670144/617773369563$ |
$1.03370$ |
$3.87809$ |
$[0, -1, 0, -341507, 79802289]$ |
\(y^2=x^3-x^2-341507x+79802289\) |
102.2.0.? |
$[(1264, 40817)]$ |
388416.t1 |
388416t2 |
388416.t |
388416t |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{20} \cdot 3 \cdot 7^{6} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$50135040$ |
$3.092522$ |
$20324066489/1411788$ |
$0.95438$ |
$4.79498$ |
$[0, -1, 0, -17876769, 27296662209]$ |
\(y^2=x^3-x^2-17876769x+27296662209\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[ ]$ |
388416.t2 |
388416t1 |
388416.t |
388416t |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{22} \cdot 3^{2} \cdot 7^{3} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$25067520$ |
$2.745949$ |
$3442951/49392$ |
$0.94711$ |
$4.36654$ |
$[0, -1, 0, 989151, 1846536129]$ |
\(y^2=x^3-x^2+989151x+1846536129\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[ ]$ |
388416.u1 |
388416u3 |
388416.u |
388416u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{15} \cdot 3^{3} \cdot 7^{3} \cdot 17^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$84934656$ |
$3.657745$ |
$438536015880092936/64602489661101$ |
$0.99999$ |
$5.28513$ |
$[0, -1, 0, -146377729, 588577138273]$ |
\(y^2=x^3-x^2-146377729x+588577138273\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0.ba.1, 136.12.0.?, $\ldots$ |
$[ ]$ |
388416.u2 |
388416u2 |
388416.u |
388416u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{6} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$42467328$ |
$3.311172$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.97873$ |
$[0, -1, 0, -39320569, -85818735431]$ |
\(y^2=x^3-x^2-39320569x-85818735431\) |
2.6.0.a.1, 24.12.0.a.1, 28.12.0.a.1, 136.12.0.?, 168.24.0.?, $\ldots$ |
$[ ]$ |
388416.u3 |
388416u1 |
388416.u |
388416u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 7^{3} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$21233664$ |
$2.964600$ |
$4011705594213827392/52680152007$ |
$1.03372$ |
$4.97240$ |
$[0, -1, 0, -38267164, -91100718782]$ |
\(y^2=x^3-x^2-38267164x-91100718782\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0.h.1, 136.12.0.?, $\ldots$ |
$[ ]$ |
388416.u4 |
388416u4 |
388416.u |
388416u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{12} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$84934656$ |
$3.657745$ |
$18419405270942584/108003564029403$ |
$1.01438$ |
$5.21067$ |
$[0, -1, 0, 50882111, -422184529151]$ |
\(y^2=x^3-x^2+50882111x-422184529151\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0.ba.1, 136.12.0.?, $\ldots$ |
$[ ]$ |
388416.v1 |
388416v5 |
388416.v |
388416v |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{18} \cdot 3 \cdot 7^{2} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$5712$ |
$192$ |
$1$ |
$8.428394916$ |
$1$ |
|
$9$ |
$9437184$ |
$2.530533$ |
$53297461115137/147$ |
$1.05087$ |
$4.74620$ |
$[0, -1, 0, -14501249, 21259595553]$ |
\(y^2=x^3-x^2-14501249x+21259595553\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$ |
$[(-3003, 194208), (2203, 332)]$ |
388416.v2 |
388416v3 |
388416.v |
388416v |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 7^{4} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2856$ |
$192$ |
$1$ |
$8.428394916$ |
$1$ |
|
$15$ |
$4718592$ |
$2.183960$ |
$13027640977/21609$ |
$1.08149$ |
$4.10000$ |
$[0, -1, 0, -906689, 332129889]$ |
\(y^2=x^3-x^2-906689x+332129889\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
$[(469, 3136), (583, 1160)]$ |
388416.v3 |
388416v4 |
388416.v |
388416v |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 7 \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$5712$ |
$192$ |
$1$ |
$33.71357966$ |
$1$ |
|
$3$ |
$4718592$ |
$2.183960$ |
$6570725617/45927$ |
$1.00160$ |
$4.04681$ |
$[0, -1, 0, -721729, -234328607]$ |
\(y^2=x^3-x^2-721729x-234328607\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(4103, 256632), (-4289/3, 29080/3)]$ |
388416.v4 |
388416v6 |
388416.v |
388416v |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{18} \cdot 3 \cdot 7^{8} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$5712$ |
$192$ |
$1$ |
$33.71357966$ |
$1$ |
|
$5$ |
$9437184$ |
$2.530533$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.17508$ |
$[0, -1, 0, -629249, 538933665]$ |
\(y^2=x^3-x^2-629249x+538933665\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(91, 21964), (-13169/5, 3363304/5)]$ |
388416.v5 |
388416v2 |
388416.v |
388416v |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 7^{2} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2856$ |
$192$ |
$1$ |
$8.428394916$ |
$1$ |
|
$15$ |
$2359296$ |
$1.837385$ |
$7189057/3969$ |
$1.14862$ |
$3.51706$ |
$[0, -1, 0, -74369, 1698849]$ |
\(y^2=x^3-x^2-74369x+1698849\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(5, 1152), (-27, 1920)]$ |
388416.v6 |
388416v1 |
388416.v |
388416v |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{18} \cdot 3^{2} \cdot 7 \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$5712$ |
$192$ |
$1$ |
$8.428394916$ |
$1$ |
|
$11$ |
$1179648$ |
$1.490812$ |
$103823/63$ |
$0.97868$ |
$3.18779$ |
$[0, -1, 0, 18111, 200673]$ |
\(y^2=x^3-x^2+18111x+200673\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[(21, 768), (-9, 192)]$ |
388416.w1 |
388416w2 |
388416.w |
388416w |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{21} \cdot 3^{2} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$2.086077746$ |
$1$ |
|
$5$ |
$10616832$ |
$2.617229$ |
$6141556990297/1019592$ |
$0.94654$ |
$4.57831$ |
$[0, -1, 0, -7056609, 7216415073]$ |
\(y^2=x^3-x^2-7056609x+7216415073\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(1587, 3468)]$ |
388416.w2 |
388416w1 |
388416.w |
388416w |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{24} \cdot 3^{4} \cdot 7 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$4.172155493$ |
$1$ |
|
$3$ |
$5308416$ |
$2.270657$ |
$-1102302937/616896$ |
$0.88613$ |
$3.96067$ |
$[0, -1, 0, -398049, 135702369]$ |
\(y^2=x^3-x^2-398049x+135702369\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(1289, 41984)]$ |
388416.x1 |
388416x4 |
388416.x |
388416x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{17} \cdot 3^{6} \cdot 7^{3} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$637009920$ |
$4.654190$ |
$322159999717985454060440834/4250799$ |
$1.10805$ |
$6.97910$ |
$[0, -1, 0, -209660742529, -36950725639692767]$ |
\(y^2=x^3-x^2-209660742529x-36950725639692767\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0-8.p.1.7, 68.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
388416.x2 |
388416x3 |
388416.x |
388416x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{17} \cdot 3^{6} \cdot 7^{12} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$637009920$ |
$4.654190$ |
$79260902459030376659234/842751810121431609$ |
$1.04228$ |
$6.33340$ |
$[0, -1, 0, -13137505729, -574231994272415]$ |
\(y^2=x^3-x^2-13137505729x-574231994272415\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0-8.k.1.4, 68.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
388416.x3 |
388416x2 |
388416.x |
388416x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{12} \cdot 7^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$952$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$318504960$ |
$4.307617$ |
$157304700372188331121828/18069292138401$ |
$1.04207$ |
$6.33280$ |
$[0, -1, 0, -13103796769, -577351778745791]$ |
\(y^2=x^3-x^2-13103796769x-577351778745791\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.2, 56.24.0-8.a.1.4, 68.12.0-2.a.1.1, $\ldots$ |
$[ ]$ |
388416.x4 |
388416x1 |
388416.x |
388416x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3^{24} \cdot 7^{3} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$159252480$ |
$3.961040$ |
$-152435594466395827792/1646846627220711$ |
$1.01679$ |
$5.68734$ |
$[0, -1, 0, -816880849, -9069630529871]$ |
\(y^2=x^3-x^2-816880849x-9069630529871\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0-8.p.1.8, 136.24.0.?, $\ldots$ |
$[ ]$ |
388416.y1 |
388416y2 |
388416.y |
388416y |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$7.561302830$ |
$1$ |
|
$3$ |
$884736$ |
$1.288536$ |
$20389313444/1323$ |
$0.93991$ |
$3.36665$ |
$[0, -1, 0, -39009, -2952351]$ |
\(y^2=x^3-x^2-39009x-2952351\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[(3731, 227540)]$ |
388416.y2 |
388416y1 |
388416.y |
388416y |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 7 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$3.780651415$ |
$1$ |
|
$5$ |
$442368$ |
$0.941963$ |
$-16484816/5103$ |
$0.84429$ |
$2.73897$ |
$[0, -1, 0, -2289, -51471]$ |
\(y^2=x^3-x^2-2289x-51471\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[(59, 124)]$ |
388416.z1 |
388416z2 |
388416.z |
388416z |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{15} \cdot 3 \cdot 7^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2856$ |
$12$ |
$0$ |
$10.30209268$ |
$1$ |
|
$3$ |
$5013504$ |
$2.188900$ |
$5639752/147$ |
$0.82346$ |
$3.99706$ |
$[0, -1, 0, -583009, -167243615]$ |
\(y^2=x^3-x^2-583009x-167243615\) |
2.3.0.a.1, 168.6.0.?, 408.6.0.?, 476.6.0.?, 2856.12.0.? |
$[(59151, 14384776)]$ |
388416.z2 |
388416z1 |
388416.z |
388416z |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 7 \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2856$ |
$12$ |
$0$ |
$5.151046342$ |
$1$ |
|
$5$ |
$2506752$ |
$1.842327$ |
$64/63$ |
$0.90937$ |
$3.52871$ |
$[0, -1, 0, 6551, -8416151]$ |
\(y^2=x^3-x^2+6551x-8416151\) |
2.3.0.a.1, 168.6.0.?, 238.6.0.?, 408.6.0.?, 2856.12.0.? |
$[(195, 488)]$ |