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 |
68838.h1 |
68838b1 |
68838.h |
68838b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 149 \) |
\( - 2^{65} \cdot 3^{20} \cdot 7^{3} \cdot 11^{5} \cdot 149 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$91784$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$5098080000$ |
$6.213211$ |
$-5842317469974410979264620686786473876128137/1058811444338079152340996477585010458624$ |
$1.05795$ |
$8.86450$ |
$[1, 1, 0, -3752210089096, -3205820275813201088]$ |
\(y^2+xy=x^3+x^2-3752210089096x-3205820275813201088\) |
91784.2.0.? |
$[]$ |
70866.q1 |
70866g1 |
70866.q |
70866g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 31 \cdot 127 \) |
\( 2^{27} \cdot 3^{24} \cdot 31^{8} \cdot 127 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1016$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$5036857344$ |
$6.401314$ |
$173896407509561096549575539593576631968752033/5632351362193570657959300562944$ |
$1.07275$ |
$9.71109$ |
$[1, -1, 0, -104656163136858, -412093058525633625548]$ |
\(y^2+xy=x^3-x^2-104656163136858x-412093058525633625548\) |
1016.2.0.? |
$[]$ |
171990.p1 |
171990fj1 |
171990.p |
171990fj |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{5} \cdot 3^{3} \cdot 5^{29} \cdot 7^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1560$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$1289131200$ |
$5.140038$ |
$-17170728360985160445356466363/77486038208007812500000$ |
$1.08382$ |
$7.28115$ |
$[1, -1, 0, -105796115805, -13296537488495899]$ |
\(y^2+xy=x^3-x^2-105796115805x-13296537488495899\) |
1560.2.0.? |
$[]$ |
240450.k1 |
240450k1 |
240450.k |
240450k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 229 \) |
\( 2^{71} \cdot 3^{14} \cdot 5^{10} \cdot 7^{2} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1832$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$36141840000$ |
$6.576790$ |
$2763966162004139043684992745976212840625/126723984758734594662425639780352$ |
$1.08400$ |
$8.62870$ |
$[1, 1, 0, -62493716228450, -190145256269138863500]$ |
\(y^2+xy=x^3+x^2-62493716228450x-190145256269138863500\) |
1832.2.0.? |
$[]$ |
240672.c1 |
240672c4 |
240672.c |
240672c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 23 \cdot 109 \) |
\( 2^{12} \cdot 3^{10} \cdot 23^{5} \cdot 109 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$20056$ |
$48$ |
$0$ |
$1$ |
$361$ |
$19$ |
$1$ |
$8900352000$ |
$6.174553$ |
$291202181187861759963272338478520388406494528/41426498340963$ |
$1.08201$ |
$8.93380$ |
$[0, -1, 0, -220941324485137, -1264047860858940657503]$ |
\(y^2=x^3-x^2-220941324485137x-1264047860858940657503\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 92.12.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
240672.c2 |
240672c2 |
240672.c |
240672c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 23 \cdot 109 \) |
\( 2^{9} \cdot 3^{40} \cdot 23^{5} \cdot 109^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$20056$ |
$48$ |
$0$ |
$1$ |
$361$ |
$19$ |
$1$ |
$8900352000$ |
$6.174553$ |
$568762213117475221470717071014573810652744/11045753842679294033808566152567623$ |
$1.06885$ |
$8.26253$ |
$[0, -1, 0, -13808897143752, -19750551049908474120]$ |
\(y^2=x^3-x^2-13808897143752x-19750551049908474120\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 92.12.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
240672.c3 |
240672c1 |
240672.c |
240672c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 23 \cdot 109 \) |
\( 2^{6} \cdot 3^{20} \cdot 23^{10} \cdot 109^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$20056$ |
$48$ |
$0$ |
$1$ |
$361$ |
$19$ |
$3$ |
$4450176000$ |
$5.827980$ |
$4550034081061575630856781958829776704708032/1716154764793810191403767369$ |
$1.07733$ |
$8.26253$ |
$[0, -1, 0, -13808832780322, -19750744373708998160]$ |
\(y^2=x^3-x^2-13808832780322x-19750744373708998160\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 92.12.0.?, 184.24.0.?, 436.12.0.?, $\ldots$ |
$[]$ |
240672.c4 |
240672c3 |
240672.c |
240672c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 23 \cdot 109 \) |
\( - 2^{9} \cdot 3^{10} \cdot 23^{20} \cdot 109 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$20056$ |
$48$ |
$0$ |
$1$ |
$361$ |
$19$ |
$1$ |
$8900352000$ |
$6.174553$ |
$-568746307224527834943939009360615296524424/11045764139607882797001126561899541$ |
$1.09878$ |
$8.26253$ |
$[0, -1, 0, -13808768416912, -19750937697269232092]$ |
\(y^2=x^3-x^2-13808768416912x-19750937697269232092\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 184.24.0.?, 436.12.0.?, $\ldots$ |
$[]$ |
245370.d1 |
245370d2 |
245370.d |
245370d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 8179 \) |
\( 2 \cdot 3^{25} \cdot 5^{10} \cdot 8179^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$981480$ |
$12$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$4578684000$ |
$5.677254$ |
$81640171834486489836422183714249541802191121/1107036202268201468027343750$ |
$1.04594$ |
$8.14719$ |
$[1, 1, 1, -9037744634905, -10457752732537669423]$ |
\(y^2+xy+y=x^3+x^2-9037744634905x-10457752732537669423\) |
2.3.0.a.1, 24.6.0.a.1, 163580.6.0.?, 981480.12.0.? |
$[]$ |
245370.d2 |
245370d1 |
245370.d |
245370d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 8179 \) |
\( - 2^{2} \cdot 3^{50} \cdot 5^{5} \cdot 8179 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$981480$ |
$12$ |
$0$ |
$1$ |
$361$ |
$19$ |
$1$ |
$2289342000$ |
$5.330681$ |
$-19931629731643086349486901959728197348401/73396095516645779044398332137500$ |
$1.03404$ |
$7.47697$ |
$[1, 1, 1, -564858540475, -163402866225923515]$ |
\(y^2+xy+y=x^3+x^2-564858540475x-163402866225923515\) |
2.3.0.a.1, 24.6.0.d.1, 81790.6.0.?, 981480.12.0.? |
$[]$ |
268107.b1 |
268107b1 |
268107.b |
268107b |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 17 \cdot 751 \) |
\( 3^{2} \cdot 7^{11} \cdot 17^{16} \cdot 751 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$63084$ |
$12$ |
$0$ |
$1$ |
$361$ |
$19$ |
$1$ |
$1186780672$ |
$4.992783$ |
$1521414750267079507312364447750265625/650344734967948496414238245621697$ |
$1.03701$ |
$6.66547$ |
$[1, 0, 1, -23961167226, -729828865948625]$ |
\(y^2+xy+y=x^3-23961167226x-729828865948625\) |
2.3.0.a.1, 12.6.0.c.1, 10514.6.0.?, 63084.12.0.? |
$[]$ |
268107.b2 |
268107b2 |
268107.b |
268107b |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 17 \cdot 751 \) |
\( - 3 \cdot 7^{22} \cdot 17^{8} \cdot 751^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$63084$ |
$12$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$2373561344$ |
$5.339355$ |
$58068923323235457828620785506705452375/46147627679181810643497458331895827$ |
$1.02478$ |
$6.95685$ |
$[1, 0, 1, 80675194389, -5388365248682363]$ |
\(y^2+xy+y=x^3+80675194389x-5388365248682363\) |
2.3.0.a.1, 6.6.0.a.1, 21028.6.0.?, 63084.12.0.? |
$[]$ |
279366.b1 |
279366b1 |
279366.b |
279366b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 101 \cdot 461 \) |
\( - 2^{40} \cdot 3^{28} \cdot 101^{10} \cdot 461 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1844$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$723333273600$ |
$7.916580$ |
$909487306947462589775599330505426814573247674871079/1280883472583452943149920097876822944727009591296$ |
$1.06991$ |
$9.38553$ |
$[1, 1, 0, 2018479346887083, -41793134991718660517907]$ |
\(y^2+xy=x^3+x^2+2018479346887083x-41793134991718660517907\) |
1844.2.0.? |
$[]$ |
284130.cl1 |
284130cl1 |
284130.cl |
284130cl |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 41 \) |
\( - 2^{8} \cdot 3^{16} \cdot 5^{4} \cdot 7^{21} \cdot 11^{3} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12628$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$93537239040$ |
$7.094963$ |
$-1856810429664170670880459374533524800419359035001/287974002319286425103932296480000$ |
$1.06788$ |
$9.37588$ |
$[1, -1, 1, -2304572955252188, -42582759259492152127969]$ |
\(y^2+xy+y=x^3-x^2-2304572955252188x-42582759259492152127969\) |
12628.2.0.? |
$[]$ |
289520.a1 |
289520a1 |
289520.a |
289520a |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 47 \) |
\( - 2^{31} \cdot 5^{5} \cdot 7^{17} \cdot 11^{3} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$144760$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$4491198720$ |
$5.501564$ |
$-77974900487922927874239929345056237369/23843089716834645277081600000$ |
$1.03495$ |
$7.59919$ |
$[0, 1, 0, -1424066778296, -654099889863399596]$ |
\(y^2=x^3+x^2-1424066778296x-654099889863399596\) |
144760.2.0.? |
$[]$ |
309738.bh1 |
309738bh1 |
309738.bh |
309738bh |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} \) |
\( - 2^{33} \cdot 3^{5} \cdot 11^{5} \cdot 13^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3432$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$6378847200$ |
$5.479233$ |
$-26909839014831610671842409502729/738566514026565599232$ |
$1.07348$ |
$7.58696$ |
$[1, 0, 1, -1604742661699, -782449460938339906]$ |
\(y^2+xy+y=x^3-1604742661699x-782449460938339906\) |
3432.2.0.? |
$[]$ |
353232.cn1 |
353232cn1 |
353232.cn |
353232cn |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 223 \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{13} \cdot 223 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14718$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$1372200960$ |
$4.975655$ |
$-187823299578807302822098540390419/7698564808096613$ |
$1.04932$ |
$7.24221$ |
$[0, 0, 0, -515417307651, -142425125432672958]$ |
\(y^2=x^3-515417307651x-142425125432672958\) |
14718.2.0.? |
$[]$ |
363012.g1 |
363012g1 |
363012.g |
363012g |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 13^{2} \cdot 179 \) |
\( - 2^{8} \cdot 3^{37} \cdot 13^{10} \cdot 179^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$6780945600$ |
$5.538582$ |
$14960686947099099874304000/14427546628653446507883$ |
$1.12487$ |
$6.96460$ |
$[0, -1, 0, 168383850787, -21710717604419559]$ |
\(y^2=x^3-x^2+168383850787x-21710717604419559\) |
6.2.0.a.1 |
$[]$ |
385020.j1 |
385020j1 |
385020.j |
385020j |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 23 \cdot 31 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5 \cdot 23^{5} \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21390$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$119085120$ |
$3.789288$ |
$-858477318703366538725072128/885403106225180365$ |
$1.01269$ |
$5.80647$ |
$[0, 0, 0, -1347117453, -19030784647167]$ |
\(y^2=x^3-1347117453x-19030784647167\) |
21390.2.0.? |
$[]$ |
403627.h1 |
403627h1 |
403627.h |
403627h |
$1$ |
$1$ |
\( 7 \cdot 23^{2} \cdot 109 \) |
\( - 7 \cdot 23^{10} \cdot 109^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1526$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$214445376$ |
$3.564384$ |
$-1714351841758089216/9065203$ |
$1.09939$ |
$5.68168$ |
$[0, 0, 1, -862749803, -9753835317919]$ |
\(y^2+y=x^3-862749803x-9753835317919\) |
1526.2.0.? |
$[]$ |
418128.j1 |
418128j1 |
418128.j |
418128j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 31 \cdot 281 \) |
\( - 2^{54} \cdot 3^{9} \cdot 31 \cdot 281 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104532$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$510572160$ |
$4.398109$ |
$-511960337990581441096271908596313/754082954703380938752$ |
$1.02293$ |
$6.46141$ |
$[0, -1, 0, -26665978072, -1676031155408912]$ |
\(y^2=x^3-x^2-26665978072x-1676031155408912\) |
104532.2.0.? |
$[]$ |
420784.o1 |
420784o1 |
420784.o |
420784o |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 7^{5} \cdot 13 \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$1885593600$ |
$5.152344$ |
$-112921935191145358638804243137536/18248586811$ |
$1.05126$ |
$7.44013$ |
$[0, 1, 0, -1847832911041, -966812901394941237]$ |
\(y^2=x^3+x^2-1847832911041x-966812901394941237\) |
182.2.0.? |
$[]$ |
425238.h1 |
425238h1 |
425238.h |
425238h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 379 \) |
\( - 2^{17} \cdot 3^{23} \cdot 11 \cdot 17 \cdot 379^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1700952$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$2137862880$ |
$4.817902$ |
$-1867173333064543987854470655196596409/18044150519792578989249849065472$ |
$1.01172$ |
$6.44533$ |
$[1, 1, 0, -25653914403, -1594695345219315]$ |
\(y^2+xy=x^3+x^2-25653914403x-1594695345219315\) |
1700952.2.0.? |
$[]$ |
448844.f1 |
448844f1 |
448844.f |
448844f |
$1$ |
$1$ |
\( 2^{2} \cdot 11 \cdot 101^{2} \) |
\( - 2^{4} \cdot 11 \cdot 101^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$187104924$ |
$3.516903$ |
$-4512595968/11$ |
$1.01587$ |
$5.46731$ |
$[0, 0, 0, -416241604, -3268641255811]$ |
\(y^2=x^3-416241604x-3268641255811\) |
22.2.0.a.1 |
$[]$ |
459326.j1 |
459326j1 |
459326.j |
459326j |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 43 \cdot 109 \) |
\( - 2^{9} \cdot 7^{11} \cdot 43^{7} \cdot 109 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$262472$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$1111864320$ |
$4.443016$ |
$-18204720833160275990243542039593/254956358788819476992$ |
$1.01335$ |
$6.41646$ |
$[1, -1, 0, -26854445158, -1693833325582924]$ |
\(y^2+xy=x^3-x^2-26854445158x-1693833325582924\) |
262472.2.0.? |
$[]$ |
470288.m1 |
470288m1 |
470288.m |
470288m |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13 \cdot 17 \cdot 19 \) |
\( - 2^{30} \cdot 7 \cdot 13^{4} \cdot 17^{7} \cdot 19^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9044$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
$20394823680$ |
$6.295578$ |
$-459952952990863637226598124246754247855081/2505205931649742569718728031993856$ |
$1.04247$ |
$7.98169$ |
$[0, -1, 0, -25730598162920, -50237139974552579216]$ |
\(y^2=x^3-x^2-25730598162920x-50237139974552579216\) |
9044.2.0.? |
$[]$ |
496048.g1 |
496048g1 |
496048.g |
496048g |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 43 \cdot 103 \) |
\( - 2^{75} \cdot 7^{5} \cdot 43^{2} \cdot 103 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$51912$ |
$144$ |
$3$ |
$1$ |
$361$ |
$19$ |
$0$ |
$4800902400$ |
$5.522995$ |
$-102504389433070528940112356977730958625/29522563321028529173961900032$ |
$1.02884$ |
$7.30804$ |
$[0, -1, 0, -1560005871648, -749958566026326272]$ |
\(y^2=x^3-x^2-1560005871648x-749958566026326272\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 36.24.0-9.a.1.2, 5768.2.0.?, $\ldots$ |
$[]$ |
496048.g2 |
496048g2 |
496048.g |
496048g |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 43 \cdot 103 \) |
\( - 2^{33} \cdot 7^{15} \cdot 43^{6} \cdot 103^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$51912$ |
$144$ |
$3$ |
$1$ |
$361$ |
$19$ |
$0$ |
$14402707200$ |
$6.072304$ |
$-61286898029086679045637606207186318625/68773783437727879855971524126179328$ |
$1.07991$ |
$7.35103$ |
$[0, -1, 0, -1314219657248, -994160831518388480]$ |
\(y^2=x^3-x^2-1314219657248x-994160831518388480\) |
3.12.0.a.1, 12.24.0-3.a.1.1, 5768.2.0.?, 6489.36.0.?, 17304.48.1.?, $\ldots$ |
$[]$ |
496048.g3 |
496048g3 |
496048.g |
496048g |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 43 \cdot 103 \) |
\( - 2^{19} \cdot 7^{5} \cdot 43^{18} \cdot 103 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$51912$ |
$144$ |
$3$ |
$1$ |
$361$ |
$19$ |
$0$ |
$43208121600$ |
$6.621605$ |
$36343062360911531400624332333178434417375/55971841399691204675919365968259011712$ |
$1.04608$ |
$7.79441$ |
$[0, -1, 0, 11041275633632, 18201170489594130176]$ |
\(y^2=x^3-x^2+11041275633632x+18201170489594130176\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 36.24.0-9.a.1.1, 5768.2.0.?, $\ldots$ |
$[]$ |
59090033.a1 |
- |
59090033.a |
- |
$2$ |
$2$ |
\( 59090033 \) |
\( 59090033 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.22 |
2B |
$472720264$ |
$48$ |
$0$ |
$1$ |
$361$ |
$19$ |
$1$ |
|
$1.765882$ |
$206320482502084331034913/59090033$ |
$0.83330$ |
$3.00000$ |
$[1, 1, 1, -1231042, -526236482]$ |
\(y^2+xy+y=x^3+x^2-1231042x-526236482\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 118180066.6.0.?, 236360132.24.0.?, $\ldots$ |
$[]$ |
59090033.a2 |
- |
59090033.a |
- |
$2$ |
$2$ |
\( 59090033 \) |
\( - 59090033^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.37 |
2B |
$472720264$ |
$48$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
|
$2.112457$ |
$-206317968538616548740433/3491631999941089$ |
$0.83330$ |
$3.00000$ |
$[1, 1, 1, -1231037, -526240964]$ |
\(y^2+xy+y=x^3+x^2-1231037x-526240964\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 236360132.12.0.?, 472720264.48.0.? |
$[]$ |
102686147.a1 |
- |
102686147.a |
- |
$1$ |
$1$ |
\( 102686147 \) |
\( -102686147 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$205372294$ |
$2$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
|
$1.252930$ |
$-90116888580789571584/102686147$ |
$0.78107$ |
$2.49077$ |
$[0, 0, 1, -93403, -10987259]$ |
\(y^2+y=x^3-93403x-10987259\) |
205372294.2.0.? |
$[]$ |
242829953.a1 |
- |
242829953.a |
- |
$2$ |
$2$ |
\( 242829953 \) |
\( 242829953 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.22 |
2B |
$1942639624$ |
$48$ |
$0$ |
$1$ |
$361$ |
$19$ |
$1$ |
|
$2.081200$ |
$14318801928538609276559953/242829953$ |
$0.91173$ |
$3.00000$ |
$[1, 1, 1, -5058957, -4381759846]$ |
\(y^2+xy+y=x^3+x^2-5058957x-4381759846\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 485659906.6.0.?, 971319812.24.0.?, $\ldots$ |
$[]$ |
242829953.a2 |
- |
242829953.a |
- |
$2$ |
$2$ |
\( 242829953 \) |
\( - 242829953^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.37 |
2B |
$1942639624$ |
$48$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
|
$2.427773$ |
$-14318759472788191810591873/58966386073982209$ |
$0.86490$ |
$3.00000$ |
$[1, 1, 1, -5058952, -4381768934]$ |
\(y^2+xy+y=x^3+x^2-5058952x-4381768934\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 971319812.12.0.?, 1942639624.48.0.? |
$[]$ |
283686713.a1 |
- |
283686713.a |
- |
$2$ |
$2$ |
\( 283686713 \) |
\( 283686713 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.22 |
2B |
$2269493704$ |
$48$ |
$0$ |
$1$ |
$361$ |
$19$ |
$1$ |
|
$2.116066$ |
$22830578300214440210530873/283686713$ |
$0.83518$ |
$3.00000$ |
$[1, 1, 0, -5910139, -5532711912]$ |
\(y^2+xy=x^3+x^2-5910139x-5532711912\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 567373426.6.0.?, 1134746852.24.0.?, $\ldots$ |
$[]$ |
283686713.a2 |
- |
283686713.a |
- |
$2$ |
$2$ |
\( 283686713 \) |
\( - 283686713^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.37 |
2B |
$2269493704$ |
$48$ |
$0$ |
$1$ |
$361$ |
$19$ |
$0$ |
|
$2.462639$ |
$-22830520356001181823685993/80478151132744369$ |
$0.85485$ |
$3.00000$ |
$[1, 1, 0, -5910134, -5532721735]$ |
\(y^2+xy=x^3+x^2-5910134x-5532721735\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 1134746852.12.0.?, 2269493704.48.0.? |
$[]$ |