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 |
93138.a1 |
93138j1 |
93138.a |
93138j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{34} \cdot 3^{5} \cdot 19^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$21.47410644$ |
$1$ |
|
$1$ |
$27417600$ |
$3.456783$ |
$267050295730790058241/146661674185654272$ |
$1.01795$ |
$5.65474$ |
$[1, 1, 0, -48431767, -29316861995]$ |
\(y^2+xy=x^3+x^2-48431767x-29316861995\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[(187364009071/4887, 31216243233117052/4887)]$ |
93138.a2 |
93138j2 |
93138.a |
93138j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{17} \cdot 3^{10} \cdot 19^{8} \cdot 43^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$10.73705322$ |
$1$ |
|
$0$ |
$54835200$ |
$3.803356$ |
$15658021359810921772799/9552201996027691008$ |
$1.03084$ |
$6.01056$ |
$[1, 1, 0, 188153193, -231123832875]$ |
\(y^2+xy=x^3+x^2+188153193x-231123832875\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[(7579903/27, 33123341116/27)]$ |
93138.b1 |
93138h2 |
93138.b |
93138h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{3} \cdot 3^{3} \cdot 19^{8} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19608$ |
$12$ |
$0$ |
$1.237358671$ |
$1$ |
|
$6$ |
$1244160$ |
$1.966835$ |
$176681250634897/144177624$ |
$1.03073$ |
$4.41118$ |
$[1, 1, 0, -422016, 105271560]$ |
\(y^2+xy=x^3+x^2-422016x+105271560\) |
2.3.0.a.1, 24.6.0.a.1, 3268.6.0.?, 19608.12.0.? |
$[(587, 7468)]$ |
93138.b2 |
93138h1 |
93138.b |
93138h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{6} \cdot 3^{6} \cdot 19^{7} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19608$ |
$12$ |
$0$ |
$0.618679335$ |
$1$ |
|
$9$ |
$622080$ |
$1.620260$ |
$78018694417/38117952$ |
$0.96204$ |
$3.73601$ |
$[1, 1, 0, -32136, 861696]$ |
\(y^2+xy=x^3+x^2-32136x+861696\) |
2.3.0.a.1, 24.6.0.d.1, 1634.6.0.?, 19608.12.0.? |
$[(-40, 1464)]$ |
93138.c1 |
93138g1 |
93138.c |
93138g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{6} \cdot 3^{3} \cdot 19^{8} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$8.884294640$ |
$1$ |
|
$1$ |
$2073600$ |
$2.250290$ |
$73556372280592657/26823744$ |
$0.95045$ |
$4.93832$ |
$[1, 1, 0, -3151176, 2151751680]$ |
\(y^2+xy=x^3+x^2-3151176x+2151751680\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[(187273/9, 61150177/9)]$ |
93138.c2 |
93138g2 |
93138.c |
93138g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{3} \cdot 3^{6} \cdot 19^{10} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$4.442147320$ |
$1$ |
|
$2$ |
$4147200$ |
$2.596863$ |
$-72549801357968017/1405299301128$ |
$0.95080$ |
$4.93999$ |
$[1, 1, 0, -3136736, 2172467304]$ |
\(y^2+xy=x^3+x^2-3136736x+2172467304\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[(8339, 741476)]$ |
93138.d1 |
93138b1 |
93138.d |
93138b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{4} \cdot 3 \cdot 19^{8} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1.509290106$ |
$1$ |
|
$10$ |
$459648$ |
$1.329613$ |
$-14317849/2064$ |
$0.78188$ |
$3.51822$ |
$[1, 1, 0, -13003, 632461]$ |
\(y^2+xy=x^3+x^2-13003x+632461\) |
516.2.0.? |
$[(150, 1369), (1233, 42523)]$ |
93138.e1 |
93138d2 |
93138.e |
93138d |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{2} \cdot 3 \cdot 19^{6} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$68628$ |
$96$ |
$2$ |
$2.053207770$ |
$1$ |
|
$2$ |
$8446032$ |
$2.891140$ |
$-23769846831649063249/3261823333284$ |
$1.04406$ |
$5.44334$ |
$[1, 1, 0, -21624268, 38699970724]$ |
\(y^2+xy=x^3+x^2-21624268x+38699970724\) |
7.24.0.a.2, 133.48.0.?, 516.2.0.?, 3612.48.2.?, 68628.96.2.? |
$[(3822, 107180)]$ |
93138.e2 |
93138d1 |
93138.e |
93138d |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{14} \cdot 3^{7} \cdot 19^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$68628$ |
$96$ |
$2$ |
$14.37245439$ |
$1$ |
|
$0$ |
$1206576$ |
$1.918186$ |
$444369620591/1540767744$ |
$0.99664$ |
$4.02857$ |
$[1, 1, 0, 57392, -11799296]$ |
\(y^2+xy=x^3+x^2+57392x-11799296\) |
7.24.0.a.1, 133.48.0.?, 516.2.0.?, 3612.48.2.?, 68628.96.2.? |
$[(14956704/169, 60211065968/169)]$ |
93138.f1 |
93138c1 |
93138.f |
93138c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{4} \cdot 3^{2} \cdot 19^{7} \cdot 43^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3268$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1958400$ |
$2.388092$ |
$657935488109375/402215100048$ |
$1.07005$ |
$4.52609$ |
$[1, 1, 0, 654125, -48076547]$ |
\(y^2+xy=x^3+x^2+654125x-48076547\) |
3268.2.0.? |
$[]$ |
93138.g1 |
93138f1 |
93138.g |
93138f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{2} \cdot 3 \cdot 19^{6} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$3.179692910$ |
$1$ |
|
$3$ |
$82944$ |
$0.682723$ |
$912673/516$ |
$0.90862$ |
$2.74351$ |
$[1, 1, 0, -729, -1455]$ |
\(y^2+xy=x^3+x^2-729x-1455\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[(-20, 85)]$ |
93138.g2 |
93138f2 |
93138.g |
93138f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2 \cdot 3^{2} \cdot 19^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$1.589846455$ |
$1$ |
|
$2$ |
$165888$ |
$1.029297$ |
$56181887/33282$ |
$0.96315$ |
$3.10359$ |
$[1, 1, 0, 2881, -7953]$ |
\(y^2+xy=x^3+x^2+2881x-7953\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[(131, 1559)]$ |
93138.h1 |
93138e1 |
93138.h |
93138e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{5} \cdot 3 \cdot 19^{2} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1032$ |
$2$ |
$0$ |
$4.953984482$ |
$1$ |
|
$0$ |
$24480$ |
$0.196588$ |
$26908709473/4128$ |
$0.87238$ |
$2.61362$ |
$[1, 1, 0, -444, -3792]$ |
\(y^2+xy=x^3+x^2-444x-3792\) |
1032.2.0.? |
$[(-619/7, 2386/7)]$ |
93138.i1 |
93138i1 |
93138.i |
93138i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{3} \cdot 3^{3} \cdot 19^{2} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1032$ |
$2$ |
$0$ |
$1.664866660$ |
$1$ |
|
$2$ |
$59616$ |
$0.009518$ |
$178484689/9288$ |
$0.81538$ |
$2.17525$ |
$[1, 1, 0, -83, -315]$ |
\(y^2+xy=x^3+x^2-83x-315\) |
1032.2.0.? |
$[(-5, 5)]$ |
93138.j1 |
93138a1 |
93138.j |
93138a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{29} \cdot 3 \cdot 19^{8} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1032$ |
$2$ |
$0$ |
$12.67639201$ |
$1$ |
|
$0$ |
$11108160$ |
$2.801987$ |
$1392743434342969/69256347648$ |
$1.00829$ |
$5.10631$ |
$[1, 1, 0, -5980333, 5379295645]$ |
\(y^2+xy=x^3+x^2-5980333x+5379295645\) |
1032.2.0.? |
$[(12975135/107, 8713018270/107)]$ |
93138.k1 |
93138m2 |
93138.k |
93138m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{2} \cdot 3 \cdot 19^{3} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9804$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1029120$ |
$1.551167$ |
$563130251390539/75856356588$ |
$0.96500$ |
$3.74047$ |
$[1, 0, 1, -32688, -1995158]$ |
\(y^2+xy+y=x^3-32688x-1995158\) |
2.3.0.a.1, 114.6.0.?, 516.6.0.?, 3268.6.0.?, 9804.12.0.? |
$[]$ |
93138.k2 |
93138m1 |
93138.k |
93138m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{4} \cdot 3^{2} \cdot 19^{3} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9804$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$514560$ |
$1.204592$ |
$506242516969099/11449008$ |
$0.96078$ |
$3.73116$ |
$[1, 0, 1, -31548, -2159318]$ |
\(y^2+xy+y=x^3-31548x-2159318\) |
2.3.0.a.1, 228.6.0.?, 516.6.0.?, 1634.6.0.?, 9804.12.0.? |
$[]$ |
93138.l1 |
93138q4 |
93138.l |
93138q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{3} \cdot 3 \cdot 19^{6} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$19608$ |
$48$ |
$0$ |
$9.022693837$ |
$1$ |
|
$0$ |
$1658880$ |
$1.965296$ |
$18440127492397057/1032$ |
$1.01875$ |
$4.81740$ |
$[1, 0, 1, -1986952, 1077859886]$ |
\(y^2+xy+y=x^3-1986952x+1077859886\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 152.24.0.?, 1032.24.0.?, $\ldots$ |
$[(13804/3, 1072390/3)]$ |
93138.l2 |
93138q2 |
93138.l |
93138q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{6} \cdot 3^{2} \cdot 19^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$19608$ |
$48$ |
$0$ |
$4.511346918$ |
$1$ |
|
$4$ |
$829440$ |
$1.618723$ |
$4502751117697/1065024$ |
$1.04479$ |
$4.09046$ |
$[1, 0, 1, -124192, 16831790]$ |
\(y^2+xy+y=x^3-124192x+16831790\) |
2.6.0.a.1, 8.12.0.b.1, 76.12.0.?, 152.24.0.?, 516.12.0.?, $\ldots$ |
$[(-191, 5891)]$ |
93138.l3 |
93138q3 |
93138.l |
93138q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{3} \cdot 3^{4} \cdot 19^{6} \cdot 43^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$19608$ |
$48$ |
$0$ |
$2.255673459$ |
$1$ |
|
$2$ |
$1658880$ |
$1.965296$ |
$-3107661785857/2215383048$ |
$0.98806$ |
$4.12821$ |
$[1, 0, 1, -109752, 20898094]$ |
\(y^2+xy+y=x^3-109752x+20898094\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 76.12.0.?, 152.24.0.?, $\ldots$ |
$[(296, 3642)]$ |
93138.l4 |
93138q1 |
93138.l |
93138q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{12} \cdot 3 \cdot 19^{6} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$19608$ |
$48$ |
$0$ |
$9.022693837$ |
$1$ |
|
$1$ |
$414720$ |
$1.272148$ |
$1532808577/528384$ |
$0.93069$ |
$3.39255$ |
$[1, 0, 1, -8672, 196910]$ |
\(y^2+xy+y=x^3-8672x+196910\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 76.12.0.?, 152.24.0.?, $\ldots$ |
$[(-26263/23, 8947941/23)]$ |
93138.m1 |
93138l1 |
93138.m |
93138l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{5} \cdot 19^{4} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$0.504194858$ |
$1$ |
|
$16$ |
$92160$ |
$0.901441$ |
$2515401431/2674944$ |
$0.90893$ |
$2.92116$ |
$[1, 0, 1, 1436, 19298]$ |
\(y^2+xy+y=x^3+1436x+19298\) |
516.2.0.? |
$[(49, 431), (3697, 222959)]$ |
93138.n1 |
93138k1 |
93138.n |
93138k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{4} \cdot 3^{4} \cdot 19^{3} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3268$ |
$2$ |
$0$ |
$0.416751626$ |
$1$ |
|
$14$ |
$33280$ |
$0.327021$ |
$-1520875/55728$ |
$0.87740$ |
$2.38003$ |
$[1, 0, 1, -46, 944]$ |
\(y^2+xy+y=x^3-46x+944\) |
3268.2.0.? |
$[(-8, 32), (49, 317)]$ |
93138.o1 |
93138n1 |
93138.o |
93138n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{2} \cdot 3^{4} \cdot 19^{7} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$6536$ |
$12$ |
$0$ |
$6.916439444$ |
$1$ |
|
$1$ |
$645120$ |
$1.810408$ |
$289395025998625/264708$ |
$0.91868$ |
$4.45431$ |
$[1, 0, 1, -497466, -135090728]$ |
\(y^2+xy+y=x^3-497466x-135090728\) |
2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.? |
$[(33506/5, 4925589/5)]$ |
93138.o2 |
93138n2 |
93138.o |
93138n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2 \cdot 3^{8} \cdot 19^{8} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$6536$ |
$12$ |
$0$ |
$3.458219722$ |
$1$ |
|
$2$ |
$1290240$ |
$2.156979$ |
$-283140402954625/8758790658$ |
$0.91931$ |
$4.45695$ |
$[1, 0, 1, -493856, -137146984]$ |
\(y^2+xy+y=x^3-493856x-137146984\) |
2.3.0.a.1, 8.6.0.a.1, 3268.6.0.?, 6536.12.0.? |
$[(1170, 29197)]$ |
93138.p1 |
93138s1 |
93138.p |
93138s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{4} \cdot 3^{2} \cdot 19^{7} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9804$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.138855$ |
$244140625/117648$ |
$1.02352$ |
$3.23199$ |
$[1, 0, 1, -4701, 50344]$ |
\(y^2+xy+y=x^3-4701x+50344\) |
2.3.0.a.1, 12.6.0.c.1, 1634.6.0.?, 9804.12.0.? |
$[]$ |
93138.p2 |
93138s2 |
93138.p |
93138s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{2} \cdot 3 \cdot 19^{8} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9804$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.485428$ |
$11466731375/8009868$ |
$0.86445$ |
$3.56843$ |
$[1, 0, 1, 16959, 388240]$ |
\(y^2+xy+y=x^3+16959x+388240\) |
2.3.0.a.1, 6.6.0.a.1, 3268.6.0.?, 9804.12.0.? |
$[]$ |
93138.q1 |
93138t1 |
93138.q |
93138t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{40} \cdot 3^{2} \cdot 19^{7} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3268$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$13132800$ |
$3.210876$ |
$6845309169258215375/8084708999036928$ |
$0.98711$ |
$5.33802$ |
$[1, 0, 1, 14280069, -21189327674]$ |
\(y^2+xy+y=x^3+14280069x-21189327674\) |
3268.2.0.? |
$[]$ |
93138.r1 |
93138o1 |
93138.r |
93138o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{5} \cdot 3^{7} \cdot 19^{10} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1032$ |
$2$ |
$0$ |
$5.108676804$ |
$1$ |
|
$2$ |
$3255840$ |
$2.488007$ |
$149271198625/3009312$ |
$0.92029$ |
$4.82208$ |
$[1, 0, 1, -2022691, 1087615550]$ |
\(y^2+xy+y=x^3-2022691x+1087615550\) |
1032.2.0.? |
$[(604, 8990)]$ |
93138.s1 |
93138p1 |
93138.s |
93138p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2 \cdot 3^{3} \cdot 19^{2} \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1032$ |
$2$ |
$0$ |
$1.869957253$ |
$1$ |
|
$2$ |
$64800$ |
$0.590862$ |
$535376689633/4293378$ |
$0.89978$ |
$2.87499$ |
$[1, 0, 1, -1205, 15878]$ |
\(y^2+xy+y=x^3-1205x+15878\) |
1032.2.0.? |
$[(18, 1)]$ |
93138.t1 |
93138r1 |
93138.t |
93138r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{2} \cdot 3^{19} \cdot 19^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$5.310764936$ |
$1$ |
|
$2$ |
$5458320$ |
$2.758648$ |
$-9500554530751882177/199908972324$ |
$1.04122$ |
$5.36317$ |
$[1, 0, 1, -15928772, -24471071818]$ |
\(y^2+xy+y=x^3-15928772x-24471071818\) |
516.2.0.? |
$[(49815, 11056621)]$ |
93138.u1 |
93138ba1 |
93138.u |
93138ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{2} \cdot 3^{2} \cdot 19^{7} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$6536$ |
$12$ |
$0$ |
$1.835208149$ |
$1$ |
|
$3$ |
$599040$ |
$1.379070$ |
$392383937161/29412$ |
$0.86833$ |
$3.87719$ |
$[1, 1, 1, -55060, -4995439]$ |
\(y^2+xy+y=x^3+x^2-55060x-4995439\) |
2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.? |
$[(473, 8427)]$ |
93138.u2 |
93138ba2 |
93138.u |
93138ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2 \cdot 3^{4} \cdot 19^{8} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$6536$ |
$12$ |
$0$ |
$3.670416299$ |
$1$ |
|
$0$ |
$1198080$ |
$1.725643$ |
$-320153881321/108133218$ |
$0.87495$ |
$3.89959$ |
$[1, 1, 1, -51450, -5674119]$ |
\(y^2+xy+y=x^3+x^2-51450x-5674119\) |
2.3.0.a.1, 8.6.0.a.1, 3268.6.0.?, 6536.12.0.? |
$[(4343/2, 275067/2)]$ |
93138.v1 |
93138x2 |
93138.v |
93138x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{2} \cdot 3 \cdot 19^{9} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9804$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$19553280$ |
$3.023384$ |
$563130251390539/75856356588$ |
$0.96500$ |
$5.28451$ |
$[1, 1, 1, -11800195, 13661186621]$ |
\(y^2+xy+y=x^3+x^2-11800195x+13661186621\) |
2.3.0.a.1, 114.6.0.?, 516.6.0.?, 3268.6.0.?, 9804.12.0.? |
$[]$ |
93138.v2 |
93138x1 |
93138.v |
93138x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{4} \cdot 3^{2} \cdot 19^{9} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9804$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$9776640$ |
$2.676811$ |
$506242516969099/11449008$ |
$0.96078$ |
$5.27520$ |
$[1, 1, 1, -11388655, 14787983141]$ |
\(y^2+xy+y=x^3+x^2-11388655x+14787983141\) |
2.3.0.a.1, 228.6.0.?, 516.6.0.?, 1634.6.0.?, 9804.12.0.? |
$[]$ |
93138.w1 |
93138bd1 |
93138.w |
93138bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{2} \cdot 3^{5} \cdot 19^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$252720$ |
$1.093542$ |
$-338608873/41796$ |
$0.90085$ |
$3.27747$ |
$[1, 1, 1, -5242, -163093]$ |
\(y^2+xy+y=x^3+x^2-5242x-163093\) |
516.2.0.? |
$[]$ |
93138.x1 |
93138y1 |
93138.x |
93138y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{5} \cdot 19^{10} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$9.241744746$ |
$1$ |
|
$0$ |
$1751040$ |
$2.373661$ |
$2515401431/2674944$ |
$0.90893$ |
$4.46520$ |
$[1, 1, 1, 518569, -131329555]$ |
\(y^2+xy+y=x^3+x^2+518569x-131329555\) |
516.2.0.? |
$[(16679/5, 2787082/5)]$ |
93138.y1 |
93138bc3 |
93138.y |
93138bc |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{24} \cdot 3^{2} \cdot 19^{7} \cdot 43^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9804$ |
$96$ |
$1$ |
$0.706631897$ |
$1$ |
|
$27$ |
$7464960$ |
$2.963470$ |
$2268876641163765625/228097945239552$ |
$1.06688$ |
$5.23801$ |
$[1, 1, 1, -9882563, 10865534753]$ |
\(y^2+xy+y=x^3+x^2-9882563x+10865534753\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 57.8.0-3.a.1.2, $\ldots$ |
$[(5147, 307886), (2259, 7534)]$ |
93138.y2 |
93138bc1 |
93138.y |
93138bc |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{6} \cdot 19^{9} \cdot 43 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9804$ |
$96$ |
$1$ |
$6.359687073$ |
$1$ |
|
$9$ |
$2488320$ |
$2.414165$ |
$23894093340015625/55042322688$ |
$0.98432$ |
$4.84005$ |
$[1, 1, 1, -2166188, -1225592755]$ |
\(y^2+xy+y=x^3+x^2-2166188x-1225592755\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 57.8.0-3.a.1.1, $\ldots$ |
$[(2981, 135689), (-14035/4, 76051/4)]$ |
93138.y3 |
93138bc2 |
93138.y |
93138bc |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{4} \cdot 3^{3} \cdot 19^{12} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9804$ |
$96$ |
$1$ |
$25.43874829$ |
$1$ |
|
$4$ |
$4976640$ |
$2.760738$ |
$-6264610702863625/37578744274608$ |
$0.96952$ |
$4.93548$ |
$[1, 1, 1, -1386428, -2118885811]$ |
\(y^2+xy+y=x^3+x^2-1386428x-2118885811\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 57.8.0-3.a.1.1, 114.48.0.?, $\ldots$ |
$[(6743, 539933), (166679/2, 67855103/2)]$ |
93138.y4 |
93138bc4 |
93138.y |
93138bc |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{12} \cdot 3 \cdot 19^{8} \cdot 43^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9804$ |
$96$ |
$1$ |
$2.826527588$ |
$1$ |
|
$10$ |
$14929920$ |
$3.310043$ |
$4371484788393482375/28041364201746432$ |
$0.99794$ |
$5.49730$ |
$[1, 1, 1, 12297277, 52714456865]$ |
\(y^2+xy+y=x^3+x^2+12297277x+52714456865\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 57.8.0-3.a.1.2, 114.48.0.?, $\ldots$ |
$[(2411, 309254), (-2605, 56174)]$ |
93138.z1 |
93138u1 |
93138.z |
93138u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{4} \cdot 3^{4} \cdot 19^{9} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3268$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$632320$ |
$1.799240$ |
$-1520875/55728$ |
$0.87740$ |
$3.92407$ |
$[1, 1, 1, -16433, -6509473]$ |
\(y^2+xy+y=x^3+x^2-16433x-6509473\) |
3268.2.0.? |
$[]$ |
93138.ba1 |
93138bb1 |
93138.ba |
93138bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{14} \cdot 19^{9} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3268$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8709120$ |
$2.950378$ |
$201534114475622375/361132679155968$ |
$0.97394$ |
$5.09111$ |
$[1, 1, 1, 4409427, 5161983843]$ |
\(y^2+xy+y=x^3+x^2+4409427x+5161983843\) |
3268.2.0.? |
$[]$ |
93138.bb1 |
93138v1 |
93138.bb |
93138v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{5} \cdot 3^{7} \cdot 19^{4} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1032$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$171360$ |
$1.015785$ |
$149271198625/3009312$ |
$0.92029$ |
$3.27804$ |
$[1, 1, 1, -5603, -160927]$ |
\(y^2+xy+y=x^3+x^2-5603x-160927\) |
1032.2.0.? |
$[]$ |
93138.bc1 |
93138z4 |
93138.bc |
93138z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{3} \cdot 3^{2} \cdot 19^{7} \cdot 43^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$6536$ |
$48$ |
$0$ |
$15.06676464$ |
$1$ |
|
$0$ |
$3317760$ |
$2.358349$ |
$43635399015129193/4676919768$ |
$0.94777$ |
$4.89268$ |
$[1, 1, 1, -2647762, -1659262777]$ |
\(y^2+xy+y=x^3+x^2-2647762x-1659262777\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 152.24.0.?, 344.24.0.?, 6536.48.0.? |
$[(-25424669/165, 1069584151/165)]$ |
93138.bc2 |
93138z2 |
93138.bc |
93138z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{6} \cdot 3^{4} \cdot 19^{8} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$6536$ |
$48$ |
$0$ |
$7.533382323$ |
$1$ |
|
$2$ |
$1658880$ |
$2.011776$ |
$13374497976553/3460262976$ |
$0.90524$ |
$4.18560$ |
$[1, 1, 1, -178522, -21662809]$ |
\(y^2+xy+y=x^3+x^2-178522x-21662809\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 152.24.0.?, 344.24.0.?, 3268.24.0.?, $\ldots$ |
$[(-1793/3, 69061/3)]$ |
93138.bc3 |
93138z1 |
93138.bc |
93138z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{2} \cdot 19^{7} \cdot 43 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$6536$ |
$48$ |
$0$ |
$3.766691161$ |
$1$ |
|
$5$ |
$829440$ |
$1.665201$ |
$587848678633/30117888$ |
$0.87322$ |
$3.91252$ |
$[1, 1, 1, -63002, 5784743]$ |
\(y^2+xy+y=x^3+x^2-63002x+5784743\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 152.24.0.?, 344.24.0.?, 1634.6.0.?, $\ldots$ |
$[(-119, 3467)]$ |
93138.bc4 |
93138z3 |
93138.bc |
93138z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( - 2^{3} \cdot 3^{8} \cdot 19^{10} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$6536$ |
$48$ |
$0$ |
$15.06676464$ |
$1$ |
|
$0$ |
$3317760$ |
$2.358349$ |
$203536128687767/294132411864$ |
$0.93658$ |
$4.45882$ |
$[1, 1, 1, 442398, -138395769]$ |
\(y^2+xy+y=x^3+x^2+442398x-138395769\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 152.24.0.?, 344.24.0.?, $\ldots$ |
$[(4511275/51, 10031050697/51)]$ |
93138.bd1 |
93138w1 |
93138.bd |
93138w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2 \cdot 3^{3} \cdot 19^{8} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1032$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$1231200$ |
$2.063084$ |
$535376689633/4293378$ |
$0.89978$ |
$4.41902$ |
$[1, 1, 1, -434832, -109778577]$ |
\(y^2+xy+y=x^3+x^2-434832x-109778577\) |
1032.2.0.? |
$[]$ |
93138.be1 |
93138bm1 |
93138.be |
93138bm |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \) |
\( 2^{14} \cdot 3^{7} \cdot 19^{6} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$1.584144543$ |
$1$ |
|
$7$ |
$1354752$ |
$2.123028$ |
$778510269523657/1540767744$ |
$1.00479$ |
$4.54079$ |
$[1, 0, 0, -691864, -221181376]$ |
\(y^2+xy=x^3-691864x-221181376\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[(-496, 392)]$ |