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 |
435600.a1 |
435600a1 |
435600.a |
435600a |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$4333824$ |
$1.781759$ |
$0$ |
|
$3.44174$ |
$[0, 0, 0, 0, -5856400]$ |
\(y^2=x^3-5856400\) |
|
$[]$ |
435600.a2 |
435600a2 |
435600.a |
435600a |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$13001472$ |
$2.331066$ |
$0$ |
|
$3.94940$ |
$[0, 0, 0, 0, 158122800]$ |
\(y^2=x^3+158122800\) |
|
$[]$ |
435600.b1 |
435600b2 |
435600.b |
435600b |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{10} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$17.01196459$ |
$1$ |
|
$0$ |
$5909760$ |
$1.936836$ |
$0$ |
|
$3.58506$ |
$[0, 0, 0, 0, -14850000]$ |
\(y^2=x^3-14850000\) |
|
$[(92718849/449, 821832176007/449)]$ |
435600.b2 |
435600b1 |
435600.b |
435600b |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{10} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$5.670654866$ |
$1$ |
|
$2$ |
$1969920$ |
$1.387529$ |
$0$ |
|
$3.07740$ |
$[0, 0, 0, 0, 550000]$ |
\(y^2=x^3+550000\) |
|
$[(449, 9543)]$ |
435600.c1 |
435600c1 |
435600.c |
435600c |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 5^{7} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1.572321661$ |
$1$ |
|
$4$ |
$1935360$ |
$1.525143$ |
$9261/10$ |
$0.83428$ |
$3.14940$ |
$[0, 0, 0, 17325, -816750]$ |
\(y^2=x^3+17325x-816750\) |
440.2.0.? |
$[(55, 550)]$ |
435600.d1 |
435600d1 |
435600.d |
435600d |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{13} \cdot 3^{3} \cdot 5^{3} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.518750755$ |
$1$ |
|
$18$ |
$368640$ |
$0.619772$ |
$101871/2$ |
$1.06335$ |
$2.52372$ |
$[0, 0, 0, -1155, 14850]$ |
\(y^2=x^3-1155x+14850\) |
120.2.0.? |
$[(25, 40), (15, 30)]$ |
435600.e1 |
435600e1 |
435600.e |
435600e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{13} \cdot 3^{3} \cdot 5^{9} \cdot 11^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$2.276436525$ |
$1$ |
|
$10$ |
$20275200$ |
$2.623440$ |
$101871/2$ |
$1.06335$ |
$4.37547$ |
$[0, 0, 0, -3493875, -2470668750]$ |
\(y^2=x^3-3493875x-2470668750\) |
120.2.0.? |
$[(3025, 121000), (-975, 3000)]$ |
435600.f1 |
435600f1 |
435600.f |
435600f |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{3} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$3.704459830$ |
$1$ |
|
$8$ |
$1105920$ |
$1.169079$ |
$101871/2$ |
$1.06335$ |
$3.03138$ |
$[0, 0, 0, -10395, -400950]$ |
\(y^2=x^3-10395x-400950\) |
120.2.0.? |
$[(135, 810), (-54, 54)]$ |
435600.g1 |
435600g1 |
435600.g |
435600g |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{9} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$60825600$ |
$3.172745$ |
$101871/2$ |
$1.06335$ |
$4.88313$ |
$[0, 0, 0, -31444875, 66708056250]$ |
\(y^2=x^3-31444875x+66708056250\) |
120.2.0.? |
$[]$ |
435600.h1 |
435600h1 |
435600.h |
435600h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{11} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$2.841578726$ |
$1$ |
|
$4$ |
$105431040$ |
$3.452755$ |
$28471058/9375$ |
$1.05858$ |
$5.00723$ |
$[0, 0, 0, -53805675, -99730831750]$ |
\(y^2=x^3-53805675x-99730831750\) |
120.2.0.? |
$[(-2015, 22500)]$ |
435600.i1 |
435600i1 |
435600.i |
435600i |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{19} \cdot 3^{6} \cdot 5^{7} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$58060800$ |
$3.198929$ |
$-76711450249/851840$ |
$0.93960$ |
$4.93172$ |
$[0, 0, 0, -38559675, -93041225750]$ |
\(y^2=x^3-38559675x-93041225750\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 440.2.0.?, 660.8.0.?, 1320.16.0.? |
$[]$ |
435600.i2 |
435600i2 |
435600.i |
435600i |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{33} \cdot 3^{6} \cdot 5^{9} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$174182400$ |
$3.748234$ |
$2882081488391/2883584000$ |
$0.98944$ |
$5.20953$ |
$[0, 0, 0, 129146325, -482286851750]$ |
\(y^2=x^3+129146325x-482286851750\) |
3.4.0.a.1, 24.8.0-3.a.1.8, 440.2.0.?, 660.8.0.?, 1320.16.0.? |
$[]$ |
435600.j1 |
435600j2 |
435600.j |
435600j |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{6} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$11$ |
11.165.5.1 |
11Nn.1.4 |
|
|
|
$18.04267446$ |
$1$ |
|
$0$ |
$38320128$ |
$2.998955$ |
$0$ |
|
$4.56665$ |
$[0, 0, 0, 0, -8696754000]$ |
\(y^2=x^3-8696754000\) |
|
$[(199054465/309, 562902320825/309)]$ |
435600.j2 |
435600j1 |
435600.j |
435600j |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$11$ |
11.165.5.1 |
11Nn.1.4 |
|
|
|
$6.014224822$ |
$1$ |
|
$2$ |
$12773376$ |
$2.449646$ |
$0$ |
|
$4.05899$ |
$[0, 0, 0, 0, 322102000]$ |
\(y^2=x^3+322102000\) |
|
$[(1545, 63325)]$ |
435600.k1 |
435600k1 |
435600.k |
435600k |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14192640$ |
$2.542099$ |
$-30908416/3$ |
$1.03221$ |
$4.48407$ |
$[0, 0, 0, -5590200, 5087747500]$ |
\(y^2=x^3-5590200x+5087747500\) |
6.2.0.a.1 |
$[]$ |
435600.l1 |
435600l1 |
435600.l |
435600l |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{4} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5806080$ |
$2.105633$ |
$-8780800/2187$ |
$1.06525$ |
$3.79746$ |
$[0, 0, 0, -254100, -58963300]$ |
\(y^2=x^3-254100x-58963300\) |
6.2.0.a.1 |
$[]$ |
435600.m1 |
435600m1 |
435600.m |
435600m |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2211840$ |
$1.456160$ |
$27440/33$ |
$0.71080$ |
$3.08353$ |
$[0, 0, 0, 12705, 572330]$ |
\(y^2=x^3+12705x+572330\) |
132.2.0.? |
$[]$ |
435600.n1 |
435600n2 |
435600.n |
435600n |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$8.962030617$ |
$1$ |
|
$0$ |
$2488320$ |
$1.663176$ |
$0$ |
|
$3.33215$ |
$[0, 0, 0, 0, -2874960]$ |
\(y^2=x^3-2874960\) |
|
$[(300729/38, 136165293/38)]$ |
435600.n2 |
435600n1 |
435600.n |
435600n |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$2.987343539$ |
$1$ |
|
$0$ |
$829440$ |
$1.113871$ |
$0$ |
|
$2.82449$ |
$[0, 0, 0, 0, 106480]$ |
\(y^2=x^3+106480\) |
|
$[(209/2, 3993/2)]$ |
435600.o1 |
435600o2 |
435600.o |
435600o |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{33} \cdot 3^{9} \cdot 5^{7} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$83607552$ |
$3.317352$ |
$134766108430924201/283115520$ |
$1.04156$ |
$5.29896$ |
$[0, 0, 0, -190188075, 1009537020250]$ |
\(y^2=x^3-190188075x+1009537020250\) |
3.4.0.a.1, 120.8.0.?, 264.8.0.?, 660.8.0.?, 1320.16.0.? |
$[]$ |
435600.o2 |
435600o1 |
435600.o |
435600o |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{19} \cdot 3^{15} \cdot 5^{9} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27869184$ |
$2.768047$ |
$571305535801/314928000$ |
$1.03980$ |
$4.34619$ |
$[0, 0, 0, -3078075, 452790250]$ |
\(y^2=x^3-3078075x+452790250\) |
3.4.0.a.1, 120.8.0.?, 264.8.0.?, 660.8.0.?, 1320.16.0.? |
$[]$ |
435600.p1 |
435600p1 |
435600.p |
435600p |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{20} \cdot 3^{7} \cdot 5^{10} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$5.323092854$ |
$1$ |
|
$2$ |
$15482880$ |
$2.436558$ |
$-1071875/768$ |
$1.05753$ |
$4.07318$ |
$[0, 0, 0, -721875, -353168750]$ |
\(y^2=x^3-721875x-353168750\) |
132.2.0.? |
$[(1079, 11142)]$ |
435600.q1 |
435600q1 |
435600.q |
435600q |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{20} \cdot 3^{7} \cdot 5^{4} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34062336$ |
$2.830788$ |
$-1071875/768$ |
$1.05753$ |
$4.43751$ |
$[0, 0, 0, -3493875, 3760540850]$ |
\(y^2=x^3-3493875x+3760540850\) |
132.2.0.? |
$[]$ |
435600.r1 |
435600r1 |
435600.r |
435600r |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$414720$ |
$0.681169$ |
$-15092$ |
$0.75088$ |
$2.53207$ |
$[0, 0, 0, -1155, -15950]$ |
\(y^2=x^3-1155x-15950\) |
20.2.0.a.1 |
$[]$ |
435600.s1 |
435600s1 |
435600.s |
435600s |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{9} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$22809600$ |
$2.684834$ |
$-15092$ |
$0.75088$ |
$4.38382$ |
$[0, 0, 0, -3493875, 2653681250]$ |
\(y^2=x^3-3493875x+2653681250\) |
20.2.0.a.1 |
$[]$ |
435600.t1 |
435600t2 |
435600.t |
435600t |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{9} \cdot 11^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$4.812303403$ |
$1$ |
|
$17$ |
$18432000$ |
$2.648285$ |
$595508/121$ |
$0.81005$ |
$4.28917$ |
$[0, 0, 0, -2404875, 1156306250]$ |
\(y^2=x^3-2404875x+1156306250\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.? |
$[(-539, 47916), (1441, 26136)]$ |
435600.t2 |
435600t1 |
435600.t |
435600t |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 11^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$19.24921361$ |
$1$ |
|
$7$ |
$9216000$ |
$2.301712$ |
$5488/11$ |
$0.68672$ |
$3.89088$ |
$[0, 0, 0, 317625, 108143750]$ |
\(y^2=x^3+317625x+108143750\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.? |
$[(209, 13552), (9025/2, 887625/2)]$ |
435600.u1 |
435600u3 |
435600.u |
435600u |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$3.606339649$ |
$1$ |
|
$5$ |
$17694720$ |
$2.622375$ |
$546718898/405$ |
$0.99169$ |
$4.49612$ |
$[0, 0, 0, -5889675, 5498028250]$ |
\(y^2=x^3-5889675x+5498028250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 88.12.0.?, $\ldots$ |
$[(1511, 6966)]$ |
435600.u2 |
435600u4 |
435600.u |
435600u |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{10} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$3.606339649$ |
$1$ |
|
$5$ |
$17694720$ |
$2.622375$ |
$136835858/1875$ |
$0.97925$ |
$4.38944$ |
$[0, 0, 0, -3711675, -2719565750]$ |
\(y^2=x^3-3711675x-2719565750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 88.12.0.?, $\ldots$ |
$[(-1089, 5566)]$ |
435600.u3 |
435600u2 |
435600.u |
435600u |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1.803169824$ |
$1$ |
|
$13$ |
$8847360$ |
$2.275803$ |
$470596/225$ |
$1.13245$ |
$3.89919$ |
$[0, 0, 0, -444675, 47583250]$ |
\(y^2=x^3-444675x+47583250\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 60.12.0.b.1, 88.12.0.?, $\ldots$ |
$[(11, 6534)]$ |
435600.u4 |
435600u1 |
435600.u |
435600u |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$3.606339649$ |
$1$ |
|
$5$ |
$4423680$ |
$1.929228$ |
$21296/15$ |
$0.85611$ |
$3.55402$ |
$[0, 0, 0, 99825, 5656750]$ |
\(y^2=x^3+99825x+5656750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$ |
$[(45, 3200)]$ |
435600.v1 |
435600v2 |
435600.v |
435600v |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{16} \cdot 5^{6} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$81100800$ |
$3.392830$ |
$102129622/59049$ |
$1.24288$ |
$4.92093$ |
$[0, 0, 0, -37035075, -2617078750]$ |
\(y^2=x^3-37035075x-2617078750\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[]$ |
435600.v2 |
435600v1 |
435600.v |
435600v |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$40550400$ |
$3.046257$ |
$63253004/243$ |
$0.98663$ |
$4.83065$ |
$[0, 0, 0, -25056075, 48113986250]$ |
\(y^2=x^3-25056075x+48113986250\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[]$ |
435600.w1 |
435600w1 |
435600.w |
435600w |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{10} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$660$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$1.659300$ |
$-2259169/324$ |
$0.94639$ |
$3.40512$ |
$[0, 0, 0, -48675, 4617250]$ |
\(y^2=x^3-48675x+4617250\) |
4.8.0.b.1, 660.16.0.? |
$[]$ |
435600.x1 |
435600x2 |
435600.x |
435600x |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$19.10585423$ |
$1$ |
|
$2$ |
$933120$ |
$1.206499$ |
$0$ |
|
$2.91010$ |
$[0, 0, 0, 0, -185625]$ |
\(y^2=x^3-185625\) |
|
$[(69, 378), (2841/2, 151389/2)]$ |
435600.x2 |
435600x1 |
435600.x |
435600x |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.122872692$ |
$1$ |
|
$6$ |
$311040$ |
$0.657192$ |
$0$ |
|
$2.40244$ |
$[0, 0, 0, 0, 6875]$ |
\(y^2=x^3+6875\) |
|
$[(25, 150), (25/2, 675/2)]$ |
435600.y1 |
435600y2 |
435600.y |
435600y |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{8} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1.547325249$ |
$1$ |
|
$4$ |
$37324800$ |
$3.010197$ |
$-53969305/10648$ |
$0.89387$ |
$4.64166$ |
$[0, 0, 0, -10027875, 14153521250]$ |
\(y^2=x^3-10027875x+14153521250\) |
3.4.0.a.1, 24.8.0-3.a.1.8, 88.2.0.?, 132.8.0.?, 264.16.0.? |
$[(1375, 54450)]$ |
435600.y2 |
435600y1 |
435600.y |
435600y |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 5^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$4.641975749$ |
$1$ |
|
$2$ |
$12441600$ |
$2.460892$ |
$34295/22$ |
$0.82040$ |
$4.05215$ |
$[0, 0, 0, 862125, -101488750]$ |
\(y^2=x^3+862125x-101488750\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 88.2.0.?, 132.8.0.?, 264.16.0.? |
$[(6391, 516186)]$ |
435600.z1 |
435600z1 |
435600.z |
435600z |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$6.827664044$ |
$1$ |
|
$0$ |
$684288$ |
$1.051422$ |
$0$ |
|
$2.76678$ |
$[0, 0, 0, 0, -73205]$ |
\(y^2=x^3-73205\) |
|
$[(661/3, 15344/3)]$ |
435600.z2 |
435600z2 |
435600.z |
435600z |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.275888014$ |
$1$ |
|
$2$ |
$2052864$ |
$1.600727$ |
$0$ |
|
$3.27444$ |
$[0, 0, 0, 0, 1976535]$ |
\(y^2=x^3+1976535\) |
|
$[(121, 1936)]$ |
435600.ba1 |
435600ba1 |
435600.ba |
435600ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{19} \cdot 5^{2} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$6.446139931$ |
$1$ |
|
$0$ |
$65894400$ |
$3.271076$ |
$1823641820/1594323$ |
$1.02043$ |
$4.77840$ |
$[0, 0, 0, 19984965, 24574772090]$ |
\(y^2=x^3+19984965x+24574772090\) |
6.2.0.a.1 |
$[(100681/5, 51595704/5)]$ |
435600.bb1 |
435600bb1 |
435600.bb |
435600bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{19} \cdot 5^{8} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$29952000$ |
$2.876846$ |
$1823641820/1594323$ |
$1.02043$ |
$4.41406$ |
$[0, 0, 0, 4129125, -2307923750]$ |
\(y^2=x^3+4129125x-2307923750\) |
6.2.0.a.1 |
$[]$ |
435600.bc1 |
435600bc2 |
435600.bc |
435600bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$120$ |
$48$ |
$1$ |
$1.764922987$ |
$1$ |
|
$7$ |
$3932160$ |
$1.922323$ |
$1000188$ |
$1.00277$ |
$3.83923$ |
$[0, 0, 0, -343035, -77264550]$ |
\(y^2=x^3-343035x-77264550\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 12.12.0.n.1, 20.12.0.o.1, $\ldots$ |
$[(-341, 242)]$ |
435600.bc2 |
435600bc1 |
435600.bc |
435600bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$120$ |
$48$ |
$1$ |
$3.529845974$ |
$1$ |
|
$5$ |
$1966080$ |
$1.575748$ |
$-432$ |
$0.69897$ |
$3.25976$ |
$[0, 0, 0, -16335, -1796850]$ |
\(y^2=x^3-16335x-1796850\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 12.12.0.o.1, 20.12.0.o.1, $\ldots$ |
$[(286, 4114)]$ |
435600.bd1 |
435600bd1 |
435600.bd |
435600bd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{8} \cdot 11^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$4.986763625$ |
$1$ |
|
$15$ |
$7372800$ |
$2.185116$ |
$76136652/275$ |
$0.98136$ |
$4.03708$ |
$[0, 0, 0, -807675, -278511750]$ |
\(y^2=x^3-807675x-278511750\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(-539, 484), (1881, 69696)]$ |
435600.bd2 |
435600bd2 |
435600.bd |
435600bd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{10} \cdot 11^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$4.986763625$ |
$1$ |
|
$15$ |
$14745600$ |
$2.531693$ |
$-6353046/75625$ |
$1.24734$ |
$4.13572$ |
$[0, 0, 0, -444675, -530070750]$ |
\(y^2=x^3-444675x-530070750\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(1045, 12100), (1365, 37500)]$ |
435600.be1 |
435600be2 |
435600.be |
435600be |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$3.897742117$ |
$1$ |
|
$3$ |
$3538944$ |
$1.850134$ |
$26962544/5625$ |
$0.87828$ |
$3.55017$ |
$[0, 0, 0, -98175, 9468250]$ |
\(y^2=x^3-98175x+9468250\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 40.12.0.bu.1, 44.12.0.l.1, $\ldots$ |
$[(-286, 3762)]$ |
435600.be2 |
435600be1 |
435600.be |
435600be |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$1.948871058$ |
$1$ |
|
$3$ |
$1769472$ |
$1.503561$ |
$1048576/2025$ |
$1.10454$ |
$3.15195$ |
$[0, 0, 0, 13200, 892375]$ |
\(y^2=x^3+13200x+892375\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$ |
$[(165, 2750)]$ |
435600.bf1 |
435600bf1 |
435600.bf |
435600bf |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$22118400$ |
$2.734425$ |
$76136652/275$ |
$0.98136$ |
$4.54474$ |
$[0, 0, 0, -7269075, 7519817250]$ |
\(y^2=x^3-7269075x+7519817250\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[]$ |
435600.bf2 |
435600bf2 |
435600.bf |
435600bf |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{11} \cdot 3^{9} \cdot 5^{10} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$44236800$ |
$3.080997$ |
$-6353046/75625$ |
$1.24734$ |
$4.64338$ |
$[0, 0, 0, -4002075, 14311910250]$ |
\(y^2=x^3-4002075x+14311910250\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[]$ |