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 |
133848.a1 |
133848bq1 |
133848.a |
133848bq |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 11^{4} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$12$ |
$8$ |
$0$ |
$0.454634664$ |
$1$ |
|
$20$ |
$125952$ |
$0.648913$ |
$9704448/14641$ |
$0.84818$ |
$2.58660$ |
$[0, 0, 0, 468, -4940]$ |
\(y^2=x^3+468x-4940\) |
4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 |
$[(14, 66), (82/3, 242/3)]$ |
133848.b1 |
133848br1 |
133848.b |
133848br |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 11^{4} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$12$ |
$8$ |
$0$ |
$0.821145536$ |
$1$ |
|
$16$ |
$4912128$ |
$2.480694$ |
$9704448/14641$ |
$0.84818$ |
$4.44872$ |
$[0, 0, 0, 711828, 293035860]$ |
\(y^2=x^3+711828x+293035860\) |
4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 |
$[(2028, 100386), (-338, 3718)]$ |
133848.c1 |
133848p2 |
133848.c |
133848p |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 11^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$3.616850323$ |
$1$ |
|
$1$ |
$1720320$ |
$2.119823$ |
$28444469868/3455881$ |
$0.96529$ |
$4.20928$ |
$[0, 0, 0, -324987, -63383450]$ |
\(y^2=x^3-324987x-63383450\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[(-975/2, 9295/2)]$ |
133848.c2 |
133848p1 |
133848.c |
133848p |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$7.233700647$ |
$1$ |
|
$3$ |
$860160$ |
$1.773251$ |
$103456682352/1859$ |
$1.07621$ |
$4.20122$ |
$[0, 0, 0, -314847, -67997150]$ |
\(y^2=x^3-314847x-67997150\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[(4475, 296880)]$ |
133848.d1 |
133848x1 |
133848.d |
133848x |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 11^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2322432$ |
$2.152668$ |
$254527054/155727$ |
$0.89661$ |
$4.14766$ |
$[0, 0, 0, 255021, 11859406]$ |
\(y^2=x^3+255021x+11859406\) |
1144.2.0.? |
$[]$ |
133848.e1 |
133848a1 |
133848.e |
133848a |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{4} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$1.741615637$ |
$1$ |
|
$4$ |
$5111808$ |
$2.582298$ |
$-25540791588/14641$ |
$1.06398$ |
$4.91401$ |
$[0, 0, 0, -5200299, 4566732534]$ |
\(y^2=x^3-5200299x+4566732534\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[(1251, 4356)]$ |
133848.f1 |
133848y1 |
133848.f |
133848y |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$263424$ |
$1.202568$ |
$-27648/11$ |
$0.78666$ |
$3.24260$ |
$[0, 0, 0, -6084, -237276]$ |
\(y^2=x^3-6084x-237276\) |
22.2.0.a.1 |
$[]$ |
133848.g1 |
133848z4 |
133848.g |
133848z |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$31.74435550$ |
$1$ |
|
$3$ |
$1474560$ |
$2.001102$ |
$37736227588/33$ |
$0.98449$ |
$4.51242$ |
$[0, 0, 0, -1071291, -426784826]$ |
\(y^2=x^3-1071291x-426784826\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 52.12.0-4.c.1.1, 66.6.0.a.1, $\ldots$ |
$[(5486, 398502), (5889/2, 275639/2)]$ |
133848.g2 |
133848z3 |
133848.g |
133848z |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 11^{4} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1.984022219$ |
$1$ |
|
$17$ |
$1474560$ |
$2.001102$ |
$122657188/43923$ |
$0.95383$ |
$4.02710$ |
$[0, 0, 0, -158691, 15023086]$ |
\(y^2=x^3-158691x+15023086\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 52.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[(-25, 4356), (455, 6084)]$ |
133848.g3 |
133848z2 |
133848.g |
133848z |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{2} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1716$ |
$48$ |
$0$ |
$7.936088876$ |
$1$ |
|
$17$ |
$737280$ |
$1.654528$ |
$37642192/1089$ |
$0.89513$ |
$3.80959$ |
$[0, 0, 0, -67431, -6569030]$ |
\(y^2=x^3-67431x-6569030\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 52.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[(338, 3042), (507, 9464)]$ |
133848.g4 |
133848z1 |
133848.g |
133848z |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 11 \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$7.936088876$ |
$1$ |
|
$11$ |
$368640$ |
$1.307955$ |
$2048/891$ |
$1.09261$ |
$3.30381$ |
$[0, 0, 0, 1014, -340535]$ |
\(y^2=x^3+1014x-340535\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(92, 729), (68, 207)]$ |
133848.h1 |
133848bs2 |
133848.h |
133848bs |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$233472$ |
$1.003466$ |
$5570732286/11$ |
$0.98930$ |
$3.47802$ |
$[0, 0, 0, -18291, -952146]$ |
\(y^2=x^3-18291x-952146\) |
2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? |
$[]$ |
133848.h2 |
133848bs1 |
133848.h |
133848bs |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 11^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$116736$ |
$0.656892$ |
$-2634012/121$ |
$0.86761$ |
$2.77713$ |
$[0, 0, 0, -1131, -15210]$ |
\(y^2=x^3-1131x-15210\) |
2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? |
$[]$ |
133848.i1 |
133848b2 |
133848.i |
133848b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{12} \cdot 11 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5271552$ |
$2.757366$ |
$5267578682/8019$ |
$0.92120$ |
$5.05620$ |
$[0, 0, 0, -9102171, 10555859990]$ |
\(y^2=x^3-9102171x+10555859990\) |
2.3.0.a.1, 156.6.0.?, 264.6.0.?, 1144.6.0.?, 3432.12.0.? |
$[]$ |
133848.i2 |
133848b1 |
133848.i |
133848b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 11^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2635776$ |
$2.410793$ |
$-907924/3267$ |
$0.85491$ |
$4.43080$ |
$[0, 0, 0, -402051, 263618030]$ |
\(y^2=x^3-402051x+263618030\) |
2.3.0.a.1, 78.6.0.?, 264.6.0.?, 1144.6.0.?, 3432.12.0.? |
$[]$ |
133848.j1 |
133848bb1 |
133848.j |
133848bb |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 11^{3} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2755584$ |
$2.366528$ |
$-5901506/11979$ |
$0.86029$ |
$4.39091$ |
$[0, 0, 0, -402051, 208323934]$ |
\(y^2=x^3-402051x+208323934\) |
88.2.0.? |
$[]$ |
133848.k1 |
133848c5 |
133848.k |
133848c |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{22} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$6864$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$16515072$ |
$3.432602$ |
$29237205357427394/80023854339$ |
$0.98547$ |
$5.71989$ |
$[0, 0, 0, -123968091, 530009337494]$ |
\(y^2=x^3-123968091x+530009337494\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 24.24.0-8.n.1.4, $\ldots$ |
$[]$ |
133848.k2 |
133848c3 |
133848.k |
133848c |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.15 |
2Cs |
$3432$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$8257536$ |
$3.086029$ |
$39383007958948/22674035241$ |
$1.15819$ |
$5.10122$ |
$[0, 0, 0, -10866531, 988100750]$ |
\(y^2=x^3-10866531x+988100750\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0-8.d.1.12, 88.48.0.?, $\ldots$ |
$[]$ |
133848.k3 |
133848c2 |
133848.k |
133848c |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 11^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$3432$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4128768$ |
$2.739452$ |
$45551779131472/200420649$ |
$1.04548$ |
$4.99611$ |
$[0, 0, 0, -7185711, -7385764750]$ |
\(y^2=x^3-7185711x-7385764750\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 12.24.0-4.b.1.2, 24.48.0-8.d.2.15, $\ldots$ |
$[]$ |
133848.k4 |
133848c1 |
133848.k |
133848c |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$6864$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.392879$ |
$726516846671872/14157$ |
$0.98077$ |
$4.99584$ |
$[0, 0, 0, -7178106, -7402235659]$ |
\(y^2=x^3-7178106x-7402235659\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.f.2, $\ldots$ |
$[]$ |
133848.k5 |
133848c4 |
133848.k |
133848c |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 11^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.91 |
2B |
$6864$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8257536$ |
$3.086029$ |
$-1463944682308/25079989077$ |
$0.98022$ |
$5.11215$ |
$[0, 0, 0, -3626571, -14705492074]$ |
\(y^2=x^3-3626571x-14705492074\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 24.48.0-8.ba.2.4, $\ldots$ |
$[]$ |
133848.k6 |
133848c6 |
133848.k |
133848c |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{10} \cdot 11 \cdot 13^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.92 |
2B |
$6864$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$16515072$ |
$3.432602$ |
$1249482637192606/726816072411$ |
$1.04802$ |
$5.45281$ |
$[0, 0, 0, 43341909, 7894256006]$ |
\(y^2=x^3+43341909x+7894256006\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 48.48.0-8.ba.1.4, 88.48.0.?, $\ldots$ |
$[]$ |
133848.l1 |
133848ba3 |
133848.l |
133848ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 11^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$2.783678043$ |
$1$ |
|
$3$ |
$2752512$ |
$2.456158$ |
$267335955794/570999$ |
$0.91164$ |
$4.73700$ |
$[0, 0, 0, -2592291, 1603506814]$ |
\(y^2=x^3-2592291x+1603506814\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(-1326, 52052)]$ |
133848.l2 |
133848ba4 |
133848.l |
133848ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 11 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$11.13471217$ |
$1$ |
|
$1$ |
$2752512$ |
$2.456158$ |
$169556172914/942513$ |
$0.90779$ |
$4.69843$ |
$[0, 0, 0, -2227251, -1273227410]$ |
\(y^2=x^3-2227251x-1273227410\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(163346/7, 57750120/7)]$ |
133848.l3 |
133848ba2 |
133848.l |
133848ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3432$ |
$48$ |
$0$ |
$5.567356086$ |
$1$ |
|
$5$ |
$1376256$ |
$2.109585$ |
$324730948/184041$ |
$0.91099$ |
$4.10958$ |
$[0, 0, 0, -219531, 5690230]$ |
\(y^2=x^3-219531x+5690230\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 104.12.0.?, 264.24.0.?, $\ldots$ |
$[(602, 9576)]$ |
133848.l4 |
133848ba1 |
133848.l |
133848ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$2.783678043$ |
$1$ |
|
$5$ |
$688128$ |
$1.763012$ |
$19600688/11583$ |
$0.85042$ |
$3.75431$ |
$[0, 0, 0, 54249, 707434]$ |
\(y^2=x^3+54249x+707434\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(95, 2592)]$ |
133848.m1 |
133848d1 |
133848.m |
133848d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 11^{2} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.988201329$ |
$1$ |
|
$13$ |
$165888$ |
$1.067793$ |
$212629504/88209$ |
$0.92696$ |
$3.06953$ |
$[0, 0, 0, -3666, 45461]$ |
\(y^2=x^3-3666x+45461\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(10, 99), (94, 729)]$ |
133848.m2 |
133848d2 |
133848.m |
133848d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 11^{4} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.988201329$ |
$1$ |
|
$17$ |
$331776$ |
$1.414368$ |
$481283696/395307$ |
$0.90625$ |
$3.37361$ |
$[0, 0, 0, 12129, 332930]$ |
\(y^2=x^3+12129x+332930\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(13, 702), (121, 1890)]$ |
133848.n1 |
133848bt2 |
133848.n |
133848bt |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{9} \cdot 11 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$9105408$ |
$2.835247$ |
$5570732286/11$ |
$0.98930$ |
$5.34014$ |
$[0, 0, 0, -27820611, 56480348574]$ |
\(y^2=x^3-27820611x+56480348574\) |
2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? |
$[]$ |
133848.n2 |
133848bt1 |
133848.n |
133848bt |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 11^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4552704$ |
$2.488674$ |
$-2634012/121$ |
$0.86761$ |
$4.63926$ |
$[0, 0, 0, -1720251, 902241990]$ |
\(y^2=x^3-1720251x+902241990\) |
2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? |
$[]$ |
133848.o1 |
133848bc1 |
133848.o |
133848bc |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{16} \cdot 11 \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$6.160272087$ |
$1$ |
|
$0$ |
$6451200$ |
$2.943321$ |
$-6184708364018/1427037183$ |
$0.94194$ |
$5.03154$ |
$[0, 0, 0, -7386483, 9138373166]$ |
\(y^2=x^3-7386483x+9138373166\) |
1144.2.0.? |
$[(103714/7, 18744804/7)]$ |
133848.p1 |
133848q1 |
133848.p |
133848q |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$2.490884458$ |
$1$ |
|
$2$ |
$24576$ |
$0.226806$ |
$18954/11$ |
$0.86809$ |
$2.19410$ |
$[0, 0, 0, 117, -26]$ |
\(y^2=x^3+117x-26\) |
264.2.0.? |
$[(14, 66)]$ |
133848.q1 |
133848bd1 |
133848.q |
133848bd |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$599040$ |
$1.875538$ |
$57122/33$ |
$1.17922$ |
$3.87047$ |
$[0, 0, 0, -85683, 399854]$ |
\(y^2=x^3-85683x+399854\) |
264.2.0.? |
$[]$ |
133848.r1 |
133848f1 |
133848.r |
133848f |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{13} \cdot 11^{3} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$8.418906760$ |
$1$ |
|
$0$ |
$5031936$ |
$2.823853$ |
$-1349273042/2910897$ |
$0.92656$ |
$4.85513$ |
$[0, 0, 0, -2458443, -3226079194]$ |
\(y^2=x^3-2458443x-3226079194\) |
264.2.0.? |
$[(2790190/7, 4658886882/7)]$ |
133848.s1 |
133848e1 |
133848.s |
133848e |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 11 \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$2.149178321$ |
$1$ |
|
$2$ |
$67584$ |
$0.704983$ |
$54/11$ |
$0.86809$ |
$2.69059$ |
$[0, 0, 0, 117, 9126]$ |
\(y^2=x^3+117x+9126\) |
1144.2.0.? |
$[(78, 702)]$ |
133848.t1 |
133848r1 |
133848.t |
133848r |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{9} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$17.91721565$ |
$1$ |
|
$0$ |
$958464$ |
$2.058586$ |
$18954/11$ |
$0.86809$ |
$4.05622$ |
$[0, 0, 0, 177957, 1542294]$ |
\(y^2=x^3+177957x+1542294\) |
264.2.0.? |
$[(43531374/829, 2059579824966/829)]$ |
133848.u1 |
133848g1 |
133848.u |
133848g |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{7} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5644800$ |
$2.833099$ |
$-10333900063744/3293331899$ |
$0.95247$ |
$4.90761$ |
$[0, 0, 0, -4382508, -4397400956]$ |
\(y^2=x^3-4382508x-4397400956\) |
22.2.0.a.1 |
$[]$ |
133848.v1 |
133848be1 |
133848.v |
133848be |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$9.628172903$ |
$1$ |
|
$0$ |
$806400$ |
$1.898201$ |
$-6072054784/1859$ |
$0.86901$ |
$4.24027$ |
$[0, 0, 0, -367068, -85621484]$ |
\(y^2=x^3-367068x-85621484\) |
22.2.0.a.1 |
$[(466414/3, 318513286/3)]$ |
133848.w1 |
133848bf1 |
133848.w |
133848bf |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$1716$ |
$4$ |
$0$ |
$10.10218700$ |
$1$ |
|
$0$ |
$1916928$ |
$2.343361$ |
$-676/121$ |
$0.89163$ |
$4.35652$ |
$[0, 0, 0, -85683, -170052194]$ |
\(y^2=x^3-85683x-170052194\) |
4.2.0.a.1, 1716.4.0.? |
$[(138631/15, 11222596/15)]$ |
133848.x1 |
133848h2 |
133848.x |
133848h |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1.611452205$ |
$1$ |
|
$7$ |
$2064384$ |
$2.282631$ |
$15927506500/552123$ |
$0.87912$ |
$4.43935$ |
$[0, 0, 0, -803595, 268838102]$ |
\(y^2=x^3-803595x+268838102\) |
2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.? |
$[(299, 7436)]$ |
133848.x2 |
133848h1 |
133848.x |
133848h |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$0.805726102$ |
$1$ |
|
$9$ |
$1032192$ |
$1.936056$ |
$686000/104247$ |
$0.88116$ |
$3.94190$ |
$[0, 0, 0, 17745, 14715506]$ |
\(y^2=x^3+17745x+14715506\) |
2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.? |
$[(-143, 3042)]$ |
133848.y1 |
133848i1 |
133848.y |
133848i |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$301056$ |
$1.392338$ |
$62500/33$ |
$1.02621$ |
$3.38480$ |
$[0, 0, 0, -12675, -162578]$ |
\(y^2=x^3-12675x-162578\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
133848.y2 |
133848i2 |
133848.y |
133848i |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$602112$ |
$1.738911$ |
$1714750/1089$ |
$1.18812$ |
$3.72408$ |
$[0, 0, 0, 48165, -1269866]$ |
\(y^2=x^3+48165x-1269866\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[]$ |
133848.z1 |
133848bg2 |
133848.z |
133848bg |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{13} \cdot 11^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$2.092439354$ |
$1$ |
|
$3$ |
$14450688$ |
$3.416775$ |
$7382814913718500/654774260283$ |
$0.97740$ |
$5.54458$ |
$[0, 0, 0, -62191155, 173707066078]$ |
\(y^2=x^3-62191155x+173707066078\) |
2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.? |
$[(-5617, 588060)]$ |
133848.z2 |
133848bg1 |
133848.z |
133848bg |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{20} \cdot 11^{3} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$4.184878709$ |
$1$ |
|
$3$ |
$7225344$ |
$3.070202$ |
$10017976862000/82759712607$ |
$0.97191$ |
$5.08688$ |
$[0, 0, 0, 4337385, 12668082154]$ |
\(y^2=x^3+4337385x+12668082154\) |
2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.? |
$[(10946, 1171170)]$ |
133848.ba1 |
133848bu2 |
133848.ba |
133848bu |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$2.135615398$ |
$1$ |
|
$3$ |
$245760$ |
$1.281235$ |
$1687500/121$ |
$1.15454$ |
$3.38480$ |
$[0, 0, 0, -12675, -514098]$ |
\(y^2=x^3-12675x-514098\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[(247, 3380)]$ |
133848.ba2 |
133848bu1 |
133848.ba |
133848bu |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$4.271230797$ |
$1$ |
|
$3$ |
$122880$ |
$0.934662$ |
$54000/11$ |
$0.83260$ |
$2.97578$ |
$[0, 0, 0, -2535, 39546]$ |
\(y^2=x^3-2535x+39546\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[(114, 1110)]$ |
133848.bb1 |
133848s2 |
133848.bb |
133848s |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$2.547222208$ |
$1$ |
|
$3$ |
$737280$ |
$1.830542$ |
$1687500/121$ |
$1.15454$ |
$3.94321$ |
$[0, 0, 0, -114075, 13880646]$ |
\(y^2=x^3-114075x+13880646\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[(-338, 3718)]$ |
133848.bb2 |
133848s1 |
133848.bb |
133848s |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$5.094444416$ |
$1$ |
|
$3$ |
$368640$ |
$1.483967$ |
$54000/11$ |
$0.83260$ |
$3.53418$ |
$[0, 0, 0, -22815, -1067742]$ |
\(y^2=x^3-22815x-1067742\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[(1611, 64368)]$ |
133848.bc1 |
133848j1 |
133848.bc |
133848j |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$132$ |
$4$ |
$0$ |
$0.742512426$ |
$1$ |
|
$4$ |
$147456$ |
$1.060888$ |
$-676/121$ |
$0.89163$ |
$3.05280$ |
$[0, 0, 0, -507, -77402]$ |
\(y^2=x^3-507x-77402\) |
4.2.0.a.1, 132.4.0.? |
$[(299, 5148)]$ |