| 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 |
| 56784.a1 |
56784bt1 |
56784.a |
56784bt |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.31 |
2B |
$4368$ |
$96$ |
$3$ |
$10.24123540$ |
$1$ |
|
$1$ |
$7188480$ |
$3.116127$ |
$416013434950254592/771895089$ |
$1.18442$ |
$6.06802$ |
$[0, -1, 0, -86098965, 307528130376]$ |
\(y^2=x^3-x^2-86098965x+307528130376\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$ |
$[(1368644/17, 379668758/17)]$ |
| 56784.a2 |
56784bt2 |
56784.a |
56784bt |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 7^{12} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.29 |
2B |
$4368$ |
$96$ |
$3$ |
$20.48247080$ |
$1$ |
|
$1$ |
$14376960$ |
$3.462700$ |
$-25203028990703632/1121144263281$ |
$1.02481$ |
$6.07193$ |
$[0, -1, 0, -85209180, 314194399596]$ |
\(y^2=x^3-x^2-85209180x+314194399596\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 48.24.0.l.1, 52.12.0.l.1, $\ldots$ |
$[(39433387685/2623, 2140273918632538/2623)]$ |
| 56784.b1 |
56784c1 |
56784.b |
56784c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{5} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.165668$ |
$-20380171264/12252303$ |
$0.97705$ |
$3.44297$ |
$[0, -1, 0, -4697, -175371]$ |
\(y^2=x^3-x^2-4697x-175371\) |
182.2.0.? |
$[]$ |
| 56784.c1 |
56784ci1 |
56784.c |
56784ci |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{5} \cdot 7 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$10920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3744000$ |
$2.842545$ |
$-82318551880501/54432$ |
$1.01009$ |
$5.79555$ |
$[0, -1, 0, -31857232, 69219276736]$ |
\(y^2=x^3-x^2-31857232x+69219276736\) |
5.6.0.a.1, 65.12.0.a.2, 260.24.0.?, 840.12.0.?, 2184.2.0.?, $\ldots$ |
$[]$ |
| 56784.c2 |
56784ci2 |
56784.c |
56784ci |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{37} \cdot 3 \cdot 7^{5} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$10920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$18720000$ |
$3.647263$ |
$721710134999099/1691848015872$ |
$1.20310$ |
$6.09576$ |
$[0, -1, 0, 65689568, 357910138624]$ |
\(y^2=x^3-x^2+65689568x+357910138624\) |
5.6.0.a.1, 65.12.0.a.1, 260.24.0.?, 840.12.0.?, 2184.2.0.?, $\ldots$ |
$[]$ |
| 56784.d1 |
56784ch2 |
56784.d |
56784ch |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{5} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$1820$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$480000$ |
$1.896305$ |
$-13383627864961024/151263$ |
$1.15507$ |
$4.85479$ |
$[0, -1, 0, -1028837, -401325939]$ |
\(y^2=x^3-x^2-1028837x-401325939\) |
5.6.0.a.1, 65.12.0.a.1, 70.12.0.a.1, 182.2.0.?, 260.24.0.?, $\ldots$ |
$[]$ |
| 56784.d2 |
56784ch1 |
56784.d |
56784ch |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{10} \cdot 7 \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$1820$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$96000$ |
$1.091585$ |
$5451776/413343$ |
$1.25184$ |
$3.32435$ |
$[0, -1, 0, 763, -92691]$ |
\(y^2=x^3-x^2+763x-92691\) |
5.6.0.a.1, 65.12.0.a.2, 70.12.0.a.2, 182.2.0.?, 260.24.0.?, $\ldots$ |
$[]$ |
| 56784.e1 |
56784cc3 |
56784.e |
56784cc |
$3$ |
$9$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{39} \cdot 3 \cdot 7 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$2.648717279$ |
$1$ |
|
$2$ |
$7838208$ |
$3.127083$ |
$-1956469094246217097/36641439744$ |
$1.01732$ |
$6.01307$ |
$[0, -1, 0, -70456832, 227658891264]$ |
\(y^2=x^3-x^2-70456832x+227658891264\) |
3.4.0.a.1, 9.12.0.a.1, 156.8.0.?, 168.8.0.?, 468.24.0.?, $\ldots$ |
$[(4858, 2366)]$ |
| 56784.e2 |
56784cc2 |
56784.e |
56784cc |
$3$ |
$9$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 7^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$6552$ |
$144$ |
$3$ |
$0.882905759$ |
$1$ |
|
$4$ |
$2612736$ |
$2.577774$ |
$-198461344537/10417365504$ |
$1.00967$ |
$4.95477$ |
$[0, -1, 0, -328592, 694378944]$ |
\(y^2=x^3-x^2-328592x+694378944\) |
3.12.0.a.1, 156.24.0.?, 168.24.0.?, 819.36.0.?, 2184.48.1.?, $\ldots$ |
$[(802, 30758)]$ |
| 56784.e3 |
56784cc1 |
56784.e |
56784cc |
$3$ |
$9$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 7 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$2.648717279$ |
$1$ |
|
$2$ |
$870912$ |
$2.028469$ |
$270840023/14329224$ |
$0.96753$ |
$4.35087$ |
$[0, -1, 0, 36448, -25479936]$ |
\(y^2=x^3-x^2+36448x-25479936\) |
3.4.0.a.1, 9.12.0.a.1, 156.8.0.?, 168.8.0.?, 468.24.0.?, $\ldots$ |
$[(490, 10478)]$ |
| 56784.f1 |
56784bq3 |
56784.f |
56784bq |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{22} \cdot 3 \cdot 7^{5} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$30.55619354$ |
$1$ |
|
$1$ |
$3744000$ |
$3.058666$ |
$124318741396429/51631104$ |
$1.01214$ |
$5.83321$ |
$[0, -1, 0, -36550024, -85008330512]$ |
\(y^2=x^3-x^2-36550024x-85008330512\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.c.1, 65.12.0.a.1, $\ldots$ |
$[(381333639852724/107571, 7311094279349567253760/107571)]$ |
| 56784.f2 |
56784bq4 |
56784.f |
56784bq |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{2} \cdot 7^{10} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$15.27809677$ |
$1$ |
|
$1$ |
$7488000$ |
$3.405243$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$5.88362$ |
$[0, -1, 0, -30925704, -112068058896]$ |
\(y^2=x^3-x^2-30925704x-112068058896\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[(69258804/23, 575847954720/23)]$ |
| 56784.f3 |
56784bq1 |
56784.f |
56784bq |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{5} \cdot 7 \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$6.111238709$ |
$1$ |
|
$1$ |
$748800$ |
$2.253948$ |
$4649101309/6804$ |
$0.94447$ |
$4.90200$ |
$[0, -1, 0, -1222264, 519860080]$ |
\(y^2=x^3-x^2-1222264x+519860080\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.c.2, 65.12.0.a.2, $\ldots$ |
$[(5980/3, 21520/3)]$ |
| 56784.f4 |
56784bq2 |
56784.f |
56784bq |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{10} \cdot 7^{2} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$3.055619354$ |
$1$ |
|
$3$ |
$1497600$ |
$2.600521$ |
$-1680914269/5786802$ |
$1.04977$ |
$4.98616$ |
$[0, -1, 0, -870744, 824698224]$ |
\(y^2=x^3-x^2-870744x+824698224\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.2, 65.12.0.a.2, $\ldots$ |
$[(948, 29160)]$ |
| 56784.g1 |
56784b4 |
56784.g |
56784b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.328432696$ |
$1$ |
|
$1$ |
$147456$ |
$1.289434$ |
$381775972/567$ |
$0.96461$ |
$3.84411$ |
$[0, -1, 0, -25744, -1579280]$ |
\(y^2=x^3-x^2-25744x-1579280\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(1849/3, 35828/3)]$ |
| 56784.g2 |
56784b2 |
56784.g |
56784b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$2.664216348$ |
$1$ |
|
$7$ |
$73728$ |
$0.942860$ |
$810448/441$ |
$0.95393$ |
$3.15522$ |
$[0, -1, 0, -2084, -8256]$ |
\(y^2=x^3-x^2-2084x-8256\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0.a.1, 52.12.0-2.a.1.1, 84.24.0.?, $\ldots$ |
$[(-16, 144)]$ |
| 56784.g3 |
56784b1 |
56784.g |
56784b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.328432696$ |
$1$ |
|
$1$ |
$36864$ |
$0.596287$ |
$2725888/21$ |
$0.93026$ |
$3.01275$ |
$[0, -1, 0, -1239, 17094]$ |
\(y^2=x^3-x^2-1239x+17094\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[(262/3, 1880/3)]$ |
| 56784.g4 |
56784b3 |
56784.g |
56784b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3 \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1.332108174$ |
$1$ |
|
$7$ |
$147456$ |
$1.289434$ |
$11696828/7203$ |
$1.01215$ |
$3.52571$ |
$[0, -1, 0, 8056, -73152]$ |
\(y^2=x^3-x^2+8056x-73152\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(22, 338)]$ |
| 56784.h1 |
56784cb4 |
56784.h |
56784cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{13} \cdot 3 \cdot 7^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1.503545507$ |
$1$ |
|
$3$ |
$774144$ |
$2.099594$ |
$8020417344913/187278$ |
$0.95653$ |
$4.87991$ |
$[0, -1, 0, -1127624, -460502160]$ |
\(y^2=x^3-x^2-1127624x-460502160\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(1660, 47320)]$ |
| 56784.h2 |
56784cb2 |
56784.h |
56784cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$3.007091015$ |
$1$ |
|
$7$ |
$387072$ |
$1.753021$ |
$2181825073/298116$ |
$0.95664$ |
$4.12998$ |
$[0, -1, 0, -73064, -6619536]$ |
\(y^2=x^3-x^2-73064x-6619536\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.a.1, 104.12.0.?, 168.24.0.?, $\ldots$ |
$[(-124, 720)]$ |
| 56784.h3 |
56784cb1 |
56784.h |
56784cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{16} \cdot 3 \cdot 7 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1.503545507$ |
$1$ |
|
$3$ |
$193536$ |
$1.406446$ |
$38272753/4368$ |
$0.84174$ |
$3.76064$ |
$[0, -1, 0, -18984, 908400]$ |
\(y^2=x^3-x^2-18984x+908400\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(-134, 1014)]$ |
| 56784.h4 |
56784cb3 |
56784.h |
56784cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{4} \cdot 7 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$6.014182030$ |
$1$ |
|
$3$ |
$774144$ |
$2.099594$ |
$8780064047/32388174$ |
$1.00545$ |
$4.41078$ |
$[0, -1, 0, 116216, -35390096]$ |
\(y^2=x^3-x^2+116216x-35390096\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.v.1, 104.12.0.?, $\ldots$ |
$[(2242, 107190)]$ |
| 56784.i1 |
56784bz1 |
56784.i |
56784bz |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{29} \cdot 3 \cdot 7 \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$5.961144931$ |
$1$ |
|
$0$ |
$274176$ |
$1.614147$ |
$368728437337/2752512$ |
$0.99450$ |
$4.12998$ |
$[0, -1, 0, -73064, -7528080]$ |
\(y^2=x^3-x^2-73064x-7528080\) |
168.2.0.? |
$[(-587/2, 883/2)]$ |
| 56784.j1 |
56784f4 |
56784.j |
56784f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 7^{12} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5419008$ |
$3.042168$ |
$8594236719188066/4858291807551$ |
$1.04589$ |
$5.45393$ |
$[0, -1, 0, -9158504, 1626829008]$ |
\(y^2=x^3-x^2-9158504x+1626829008\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 56784.j2 |
56784f2 |
56784.j |
56784f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2709504$ |
$2.695591$ |
$6991270724335972/14494474449$ |
$0.98730$ |
$5.37175$ |
$[0, -1, 0, -6785744, 6793751184]$ |
\(y^2=x^3-x^2-6785744x+6793751184\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.a.1, 104.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 56784.j3 |
56784f1 |
56784.j |
56784f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{3} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1354752$ |
$2.349018$ |
$27923315228972368/120393$ |
$0.98725$ |
$5.37161$ |
$[0, -1, 0, -6782364, 6800865408]$ |
\(y^2=x^3-x^2-6782364x+6800865408\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 56784.j4 |
56784f3 |
56784.j |
56784f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{12} \cdot 7^{3} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5419008$ |
$3.042168$ |
$-997241325462146/5206220835543$ |
$1.01375$ |
$5.46771$ |
$[0, -1, 0, -4467064, 11505308944]$ |
\(y^2=x^3-x^2-4467064x+11505308944\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.v.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 56784.k1 |
56784ca1 |
56784.k |
56784ca |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{3} \cdot 7^{5} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.351065137$ |
$1$ |
|
$6$ |
$1572480$ |
$2.480015$ |
$-1223745654937/907578$ |
$0.97178$ |
$5.17690$ |
$[0, -1, 0, -3331384, 2342983408]$ |
\(y^2=x^3-x^2-3331384x+2342983408\) |
168.2.0.? |
$[(-732, 66248)]$ |
| 56784.l1 |
56784bg1 |
56784.l |
56784bg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 7^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$56$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$359424$ |
$1.908142$ |
$2530736/321489$ |
$0.95836$ |
$4.21993$ |
$[0, -1, 0, 16844, 12432172]$ |
\(y^2=x^3-x^2+16844x+12432172\) |
4.2.0.a.1, 56.4.0-4.a.1.1 |
$[]$ |
| 56784.m1 |
56784bf1 |
56784.m |
56784bf |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 7^{7} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4515840$ |
$3.166134$ |
$1811564780171264/11870974573731$ |
$1.04721$ |
$5.58827$ |
$[0, -1, 0, 6867259, 22253052717]$ |
\(y^2=x^3-x^2+6867259x+22253052717\) |
182.2.0.? |
$[]$ |
| 56784.n1 |
56784bp1 |
56784.n |
56784bp |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{25} \cdot 3^{11} \cdot 7^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$12.46075736$ |
$1$ |
|
$0$ |
$988416$ |
$2.319370$ |
$-5022437771811277/497757560832$ |
$1.03078$ |
$4.77970$ |
$[0, -1, 0, -742096, -266048576]$ |
\(y^2=x^3-x^2-742096x-266048576\) |
2184.2.0.? |
$[(1544994/25, 1781460278/25)]$ |
| 56784.o1 |
56784bh1 |
56784.o |
56784bh |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3 \cdot 7 \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.456367$ |
$-47045881/8736$ |
$0.98493$ |
$3.80491$ |
$[0, -1, 0, -20336, 1289664]$ |
\(y^2=x^3-x^2-20336x+1289664\) |
2184.2.0.? |
$[]$ |
| 56784.p1 |
56784cf1 |
56784.p |
56784cf |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 7 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$149760$ |
$1.412567$ |
$8192/63$ |
$0.85500$ |
$3.66761$ |
$[0, -1, 0, 5859, -607023]$ |
\(y^2=x^3-x^2+5859x-607023\) |
182.2.0.? |
$[]$ |
| 56784.q1 |
56784bn1 |
56784.q |
56784bn |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$2184$ |
$48$ |
$1$ |
$1.502075506$ |
$1$ |
|
$3$ |
$18432$ |
$0.273726$ |
$16384000/3969$ |
$0.98951$ |
$2.47367$ |
$[0, -1, 0, -173, -612]$ |
\(y^2=x^3-x^2-173x-612\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bv.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$ |
$[(-8, 14)]$ |
| 56784.q2 |
56784bn2 |
56784.q |
56784bn |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 7^{4} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$2184$ |
$48$ |
$1$ |
$3.004151012$ |
$1$ |
|
$3$ |
$36864$ |
$0.620299$ |
$13718000/21609$ |
$0.87926$ |
$2.76036$ |
$[0, -1, 0, 412, -4356]$ |
\(y^2=x^3-x^2+412x-4356\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bs.1, 52.12.0.l.1, 56.12.0.bs.1, $\ldots$ |
$[(61, 494)]$ |
| 56784.r1 |
56784be2 |
56784.r |
56784be |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{13} \cdot 3 \cdot 7^{3} \cdot 13^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$0.796295839$ |
$1$ |
|
$12$ |
$145152$ |
$1.397243$ |
$531373116625/2058$ |
$0.99657$ |
$4.16336$ |
$[0, -1, 0, -82528, 9152896]$ |
\(y^2=x^3-x^2-82528x+9152896\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 168.16.0.? |
$[(152, 312), (165, 26)]$ |
| 56784.r2 |
56784be1 |
56784.r |
56784be |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{3} \cdot 7 \cdot 13^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$0.796295839$ |
$1$ |
|
$12$ |
$48384$ |
$0.847937$ |
$2640625/1512$ |
$1.13480$ |
$3.04778$ |
$[0, -1, 0, -1408, 2560]$ |
\(y^2=x^3-x^2-1408x+2560\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 168.16.0.? |
$[(48, 208), (-30, 130)]$ |
| 56784.s1 |
56784a2 |
56784.s |
56784a |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 7^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$4.859056485$ |
$1$ |
|
$3$ |
$602112$ |
$2.264309$ |
$8207369602000/3046751253$ |
$0.95414$ |
$4.62875$ |
$[0, -1, 0, -450948, 69941520]$ |
\(y^2=x^3-x^2-450948x+69941520\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(44, 7084)]$ |
| 56784.s2 |
56784a1 |
56784.s |
56784a |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$9.718112971$ |
$1$ |
|
$1$ |
$301056$ |
$1.917736$ |
$953312000000/887416803$ |
$1.04778$ |
$4.17881$ |
$[0, -1, 0, 87317, 7718086]$ |
\(y^2=x^3-x^2+87317x+7718086\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(93762/11, 30931642/11)]$ |
| 56784.t1 |
56784bd2 |
56784.t |
56784bd |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{33} \cdot 3^{3} \cdot 7^{3} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5660928$ |
$3.155285$ |
$673822943613625/19421724672$ |
$1.00793$ |
$5.75329$ |
$[0, -1, 0, -27305048, 53541730800]$ |
\(y^2=x^3-x^2-27305048x+53541730800\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 168.16.0.? |
$[]$ |
| 56784.t2 |
56784bd1 |
56784.t |
56784bd |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{9} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1886976$ |
$2.605976$ |
$1515434103625/17635968$ |
$0.97352$ |
$5.19631$ |
$[0, -1, 0, -3577448, -2576890512]$ |
\(y^2=x^3-x^2-3577448x-2576890512\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 168.16.0.? |
$[]$ |
| 56784.u1 |
56784bw4 |
56784.u |
56784bw |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1092$ |
$96$ |
$1$ |
$2.263692283$ |
$1$ |
|
$3$ |
$331776$ |
$1.697283$ |
$2640279346000/3087$ |
$1.02245$ |
$4.52514$ |
$[0, -1, 0, -308988, 66212028]$ |
\(y^2=x^3-x^2-308988x+66212028\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 28.6.0.a.1, $\ldots$ |
$[(309, 378)]$ |
| 56784.u2 |
56784bw3 |
56784.u |
56784bw |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3 \cdot 7^{6} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1092$ |
$96$ |
$1$ |
$1.131846141$ |
$1$ |
|
$3$ |
$165888$ |
$1.350710$ |
$-10061824000/352947$ |
$1.07286$ |
$3.76844$ |
$[0, -1, 0, -19153, 1057120]$ |
\(y^2=x^3-x^2-19153x+1057120\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 28.6.0.b.1, 84.48.1.?, $\ldots$ |
$[(204, 2366)]$ |
| 56784.u3 |
56784bw2 |
56784.u |
56784bw |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1092$ |
$96$ |
$1$ |
$6.791076851$ |
$1$ |
|
$1$ |
$110592$ |
$1.147978$ |
$9826000/5103$ |
$0.97243$ |
$3.38315$ |
$[0, -1, 0, -4788, 42444]$ |
\(y^2=x^3-x^2-4788x+42444\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 28.6.0.a.1, $\ldots$ |
$[(-2259/7, 138510/7)]$ |
| 56784.u4 |
56784bw1 |
56784.u |
56784bw |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1092$ |
$96$ |
$1$ |
$3.395538425$ |
$1$ |
|
$1$ |
$55296$ |
$0.801404$ |
$2048000/1323$ |
$1.10843$ |
$2.98663$ |
$[0, -1, 0, 1127, 4588]$ |
\(y^2=x^3-x^2+1127x+4588\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 28.6.0.b.1, 84.48.1.?, $\ldots$ |
$[(309/2, 5915/2)]$ |
| 56784.v1 |
56784bv2 |
56784.v |
56784bv |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{33} \cdot 3^{3} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1.015950828$ |
$1$ |
|
$4$ |
$435456$ |
$1.872808$ |
$673822943613625/19421724672$ |
$1.00793$ |
$4.34746$ |
$[0, -1, 0, -161568, 24420096]$ |
\(y^2=x^3-x^2-161568x+24420096\) |
3.4.0.a.1, 156.8.0.?, 168.8.0.?, 2184.16.0.? |
$[(1520, 57344)]$ |
| 56784.v2 |
56784bv1 |
56784.v |
56784bv |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{9} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$3.047852486$ |
$1$ |
|
$2$ |
$145152$ |
$1.323502$ |
$1515434103625/17635968$ |
$0.97352$ |
$3.79048$ |
$[0, -1, 0, -21168, -1166400]$ |
\(y^2=x^3-x^2-21168x-1166400\) |
3.4.0.a.1, 156.8.0.?, 168.8.0.?, 2184.16.0.? |
$[(200, 1600)]$ |
| 56784.w1 |
56784d2 |
56784.w |
56784d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 7^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2580480$ |
$2.819382$ |
$1989996724085074000/1843096437$ |
$1.00659$ |
$5.76135$ |
$[0, -1, 0, -28119628, -57384050192]$ |
\(y^2=x^3-x^2-28119628x-57384050192\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 56784.w2 |
56784d1 |
56784.w |
56784d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1290240$ |
$2.472809$ |
$-7604375980288000/236743082667$ |
$1.00871$ |
$5.00431$ |
$[0, -1, 0, -1744643, -909932310]$ |
\(y^2=x^3-x^2-1744643x-909932310\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
| 56784.x1 |
56784bu2 |
56784.x |
56784bu |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{13} \cdot 3 \cdot 7^{3} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$4.030258543$ |
$1$ |
|
$2$ |
$1886976$ |
$2.679718$ |
$531373116625/2058$ |
$0.99657$ |
$5.56919$ |
$[0, -1, 0, -13947288, 20053123440]$ |
\(y^2=x^3-x^2-13947288x+20053123440\) |
3.4.0.a.1, 156.8.0.?, 168.8.0.?, 2184.16.0.? |
$[(2153, 112)]$ |
