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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
413712.a1 |
413712a2 |
413712.a |
413712a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{3} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$5304$ |
$48$ |
$1$ |
$1.270883326$ |
$1$ |
|
$19$ |
$1966080$ |
$1.469616$ |
$1298923792/751689$ |
$[0, 0, 0, -16887, -1690]$ |
\(y^2=x^3-16887x-1690\) |
2.3.0.a.1, 4.6.0.d.1, 26.6.0.b.1, 52.12.0.i.1, 156.24.0.?, $\ldots$ |
$[(-91, 884), (-74, 918)]$ |
413712.a2 |
413712a1 |
413712.a |
413712a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 13^{3} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$5304$ |
$48$ |
$1$ |
$5.083533307$ |
$1$ |
|
$9$ |
$983040$ |
$1.123041$ |
$6774679552/23409$ |
$[0, 0, 0, -11622, -480805]$ |
\(y^2=x^3-11622x-480805\) |
2.3.0.a.1, 4.6.0.d.1, 26.6.0.b.1, 52.12.0.i.1, 156.24.0.?, $\ldots$ |
$[(-61, 34), (143, 884)]$ |
413712.b1 |
413712b1 |
413712.b |
413712b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{8} \cdot 13^{6} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$3.964377396$ |
$1$ |
|
$15$ |
$2949120$ |
$1.761400$ |
$1771561/612$ |
$[0, 0, 0, -61347, 3712930]$ |
\(y^2=x^3-61347x+3712930\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(273, 2704), (209, 144)]$ |
413712.b2 |
413712b2 |
413712.b |
413712b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{13} \cdot 3^{10} \cdot 13^{6} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$3.964377396$ |
$1$ |
|
$17$ |
$5898240$ |
$2.107975$ |
$46268279/46818$ |
$[0, 0, 0, 182013, 25858690]$ |
\(y^2=x^3+182013x+25858690\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(377, 12168), (39, 5746)]$ |
413712.c1 |
413712c2 |
413712.c |
413712c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{16} \cdot 3^{6} \cdot 13^{7} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$2.398292941$ |
$1$ |
|
$5$ |
$49545216$ |
$3.168793$ |
$196741326427281/5020614352$ |
$[0, 0, 0, -29487627, 60258019770]$ |
\(y^2=x^3-29487627x+60258019770\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[(1989, 97344)]$ |
413712.c2 |
413712c1 |
413712.c |
413712c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{20} \cdot 3^{6} \cdot 13^{8} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$4.796585882$ |
$1$ |
|
$3$ |
$24772608$ |
$2.822216$ |
$559679941521/212556032$ |
$[0, 0, 0, -4178187, -1927274310]$ |
\(y^2=x^3-4178187x-1927274310\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(-731, 27136)]$ |
413712.d1 |
413712d2 |
413712.d |
413712d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{20} \cdot 3^{12} \cdot 13^{9} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$9.519749409$ |
$1$ |
|
$13$ |
$138018816$ |
$3.649353$ |
$275602131611533/53934336$ |
$[0, 0, 0, -428922507, 3418557770810]$ |
\(y^2=x^3-428922507x+3418557770810\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(11749, 31104), (5239, 1146834)]$ |
413712.d2 |
413712d1 |
413712.d |
413712d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{28} \cdot 3^{9} \cdot 13^{9} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$38.07899763$ |
$1$ |
|
$7$ |
$69009408$ |
$3.302780$ |
$-48109395853/30081024$ |
$[0, 0, 0, -23971467, 65158208570]$ |
\(y^2=x^3-23971467x+65158208570\) |
2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.? |
$[(-3718, 320762), (1654, 173304)]$ |
413712.e1 |
413712e1 |
413712.e |
413712e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{16} \cdot 3^{6} \cdot 13^{10} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72963072$ |
$3.303848$ |
$-298652123601/78608$ |
$[0, 0, 0, -103590747, -405908646390]$ |
\(y^2=x^3-103590747x-405908646390\) |
68.2.0.a.1 |
$[]$ |
413712.f1 |
413712f1 |
413712.f |
413712f |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{20} \cdot 3^{6} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10782720$ |
$2.340027$ |
$7433231/4352$ |
$[0, 0, 0, 547053, -16850990]$ |
\(y^2=x^3+547053x-16850990\) |
68.2.0.a.1 |
$[]$ |
413712.g1 |
413712g2 |
413712.g |
413712g |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{18} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$3.438134738$ |
$1$ |
|
$5$ |
$49545216$ |
$3.001671$ |
$3885442650361/1996623837$ |
$[0, 0, 0, -7970547, -2898963470]$ |
\(y^2=x^3-7970547x-2898963470\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[(3497, 109512)]$ |
413712.g2 |
413712g1 |
413712.g |
413712g |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{12} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$6.876269476$ |
$1$ |
|
$3$ |
$24772608$ |
$2.655098$ |
$2000852317801/2094417$ |
$[0, 0, 0, -6388707, -6209754590]$ |
\(y^2=x^3-6388707x-6209754590\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(10169, 990144)]$ |
413712.h1 |
413712h2 |
413712.h |
413712h |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5505024$ |
$2.170609$ |
$238481570896/25857$ |
$[0, 0, 0, -1247727, 536397550]$ |
\(y^2=x^3-1247727x+536397550\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
413712.h2 |
413712h1 |
413712.h |
413712h |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2752512$ |
$1.824036$ |
$1171019776/304317$ |
$[0, 0, 0, -84162, 6975475]$ |
\(y^2=x^3-84162x+6975475\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
413712.i1 |
413712i1 |
413712.i |
413712i |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{7} \cdot 13^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.678558267$ |
$1$ |
|
$2$ |
$1674240$ |
$1.354559$ |
$-692224/867$ |
$[0, 0, 0, -8112, -500240]$ |
\(y^2=x^3-8112x-500240\) |
6.2.0.a.1 |
$[(273, 4199)]$ |
413712.j1 |
413712j1 |
413712.j |
413712j |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{11} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2626560$ |
$1.677778$ |
$-2249728/4131$ |
$[0, 0, 0, -26364, 3365804]$ |
\(y^2=x^3-26364x+3365804\) |
102.2.0.? |
$[]$ |
413712.k1 |
413712k1 |
413712.k |
413712k |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{7} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$2.450553966$ |
$1$ |
|
$2$ |
$291840$ |
$0.693799$ |
$-53248/51$ |
$[0, 0, 0, -624, 9776]$ |
\(y^2=x^3-624x+9776\) |
102.2.0.? |
$[(25, 99)]$ |
413712.l1 |
413712l1 |
413712.l |
413712l |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.364419458$ |
$1$ |
|
$2$ |
$95232$ |
$0.087099$ |
$-5616/17$ |
$[0, 0, 0, -39, -234]$ |
\(y^2=x^3-39x-234\) |
102.2.0.? |
$[(9, 12)]$ |
413712.m1 |
413712m1 |
413712.m |
413712m |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 13^{8} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5511168$ |
$2.200233$ |
$-13312/14739$ |
$[0, 0, 0, -26364, 72087964]$ |
\(y^2=x^3-26364x+72087964\) |
102.2.0.? |
$[]$ |
413712.n1 |
413712n1 |
413712.n |
413712n |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{16} \cdot 3^{13} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$7.883068660$ |
$1$ |
|
$2$ |
$33546240$ |
$3.052631$ |
$-2628062448817/594864$ |
$[0, 0, 0, -38682579, -92620295534]$ |
\(y^2=x^3-38682579x-92620295534\) |
102.2.0.? |
$[(17625, 2168096)]$ |
413712.o1 |
413712o2 |
413712.o |
413712o |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{18} \cdot 3^{7} \cdot 13^{2} \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2652$ |
$16$ |
$0$ |
$2.976552935$ |
$1$ |
|
$8$ |
$1658880$ |
$1.534132$ |
$-3754462153/943296$ |
$[0, 0, 0, -25779, -1907854]$ |
\(y^2=x^3-25779x-1907854\) |
3.4.0.a.1, 102.8.0.?, 156.8.0.?, 2652.16.0.? |
$[(233, 2176), (199, 918)]$ |
413712.o2 |
413712o1 |
413712.o |
413712o |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 13^{2} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2652$ |
$16$ |
$0$ |
$2.976552935$ |
$1$ |
|
$10$ |
$552960$ |
$0.984826$ |
$2669927/1836$ |
$[0, 0, 0, 2301, 18434]$ |
\(y^2=x^3+2301x+18434\) |
3.4.0.a.1, 102.8.0.?, 156.8.0.?, 2652.16.0.? |
$[(1, 144), (55, 558)]$ |
413712.p1 |
413712p1 |
413712.p |
413712p |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3714048$ |
$1.918880$ |
$-5616/17$ |
$[0, 0, 0, -59319, 13880646]$ |
\(y^2=x^3-59319x+13880646\) |
102.2.0.? |
$[]$ |
413712.q1 |
413712q1 |
413712.q |
413712q |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2652$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1347840$ |
$1.408321$ |
$-1517101056/17$ |
$[0, 0, 0, -77064, -8234356]$ |
\(y^2=x^3-77064x-8234356\) |
3.4.0.a.1, 102.8.0.?, 156.8.0.?, 2652.16.0.? |
$[]$ |
413712.q2 |
413712q2 |
413712.q |
413712q |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2652$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4043520$ |
$1.957628$ |
$-221184/4913$ |
$[0, 0, 0, -36504, -16846596]$ |
\(y^2=x^3-36504x-16846596\) |
3.4.0.a.1, 102.8.0.?, 156.8.0.?, 2652.16.0.? |
$[]$ |
413712.r1 |
413712r1 |
413712.r |
413712r |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.013813075$ |
$1$ |
|
$2$ |
$142848$ |
$0.395305$ |
$-13631488/51$ |
$[0, 0, 0, -624, 6019]$ |
\(y^2=x^3-624x+6019\) |
102.2.0.? |
$[(17, 18)]$ |
413712.s1 |
413712s1 |
413712.s |
413712s |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{13} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1128960$ |
$1.197311$ |
$22151168/37179$ |
$[0, 0, 0, 4056, 137059]$ |
\(y^2=x^3+4056x+137059\) |
102.2.0.? |
$[]$ |
413712.t1 |
413712t1 |
413712.t |
413712t |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 13^{8} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3144960$ |
$1.876305$ |
$-23003136/4913$ |
$[0, 0, 0, -105456, 15422940]$ |
\(y^2=x^3-105456x+15422940\) |
102.2.0.? |
$[]$ |
413712.u1 |
413712u1 |
413712.u |
413712u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{26} \cdot 3^{14} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$57802752$ |
$3.422215$ |
$612241204436497/308834353152$ |
$[0, 0, 0, -43050891, -38949641926]$ |
\(y^2=x^3-43050891x-38949641926\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
413712.u2 |
413712u2 |
413712.u |
413712u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{19} \cdot 3^{22} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$115605504$ |
$3.768787$ |
$31091549545392623/20700995942016$ |
$[0, 0, 0, 159424629, -300588508870]$ |
\(y^2=x^3+159424629x-300588508870\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
413712.v1 |
413712v3 |
413712.v |
413712v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{7} \cdot 13^{7} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$9.926096327$ |
$1$ |
|
$9$ |
$16515072$ |
$2.624653$ |
$305612563186948/663$ |
$[0, 0, 0, -21513531, 38407466266]$ |
\(y^2=x^3-21513531x+38407466266\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(3731, 100386), (6435, 407966)]$ |
413712.v2 |
413712v4 |
413712.v |
413712v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{10} \cdot 13^{7} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$2.481524081$ |
$1$ |
|
$17$ |
$16515072$ |
$2.624653$ |
$161838334948/87947613$ |
$[0, 0, 0, -1740531, 218210434]$ |
\(y^2=x^3-1740531x+218210434\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-325, 27378), (-1339, 12168)]$ |
413712.v3 |
413712v2 |
413712.v |
413712v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{8} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2652$ |
$48$ |
$0$ |
$9.926096327$ |
$1$ |
|
$15$ |
$8257536$ |
$2.278080$ |
$298766385232/439569$ |
$[0, 0, 0, -1345071, 599671150]$ |
\(y^2=x^3-1345071x+599671150\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0-2.a.1.2, 156.24.0.?, $\ldots$ |
$[(497, 7344), (-1186, 22950)]$ |
413712.v4 |
413712v1 |
413712.v |
413712v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 13^{10} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$9.926096327$ |
$1$ |
|
$7$ |
$4128768$ |
$1.931507$ |
$-420616192/1456611$ |
$[0, 0, 0, -59826, 14884675]$ |
\(y^2=x^3-59826x+14884675\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 102.6.0.?, 104.12.0.?, $\ldots$ |
$[(143, 3042), (251, 3960)]$ |
413712.w1 |
413712w1 |
413712.w |
413712w |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 13^{8} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.786984436$ |
$1$ |
|
$2$ |
$1717248$ |
$1.606789$ |
$359424/289$ |
$[0, 0, 0, 26364, -1028196]$ |
\(y^2=x^3+26364x-1028196\) |
6.2.0.a.1 |
$[(169, 2873)]$ |
413712.x1 |
413712x1 |
413712.x |
413712x |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 13^{3} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$3.455878836$ |
$1$ |
|
$7$ |
$442368$ |
$0.961501$ |
$67108864/23409$ |
$[0, 0, 0, -2496, 30251]$ |
\(y^2=x^3-2496x+30251\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.e.1, 884.12.0.? |
$[(169, 2106), (61, 324)]$ |
413712.x2 |
413712x2 |
413712.x |
413712x |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{14} \cdot 13^{3} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$13.82351534$ |
$1$ |
|
$7$ |
$884736$ |
$1.308075$ |
$111485936/111537$ |
$[0, 0, 0, 7449, 211250]$ |
\(y^2=x^3+7449x+211250\) |
2.3.0.a.1, 52.6.0.c.1, 68.6.0.e.1, 884.12.0.? |
$[(26, 650), (182, 2756)]$ |
413712.y1 |
413712y1 |
413712.y |
413712y |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{12} \cdot 13^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6193152$ |
$2.427395$ |
$1343969093632/462866157$ |
$[0, 0, 0, -881166, 202578779]$ |
\(y^2=x^3-881166x+202578779\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
413712.y2 |
413712y2 |
413712.y |
413712y |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 13^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$12386304$ |
$2.773972$ |
$2181636984368/2215505331$ |
$[0, 0, 0, 2609529, 1409661110]$ |
\(y^2=x^3+2609529x+1409661110\) |
2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.? |
$[]$ |
413712.z1 |
413712z2 |
413712.z |
413712z |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{26} \cdot 3^{20} \cdot 13^{9} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$1127153664$ |
$4.926224$ |
$45204035637810785581/6545053349462016$ |
$[0, 0, 0, -23478862251, 1199051036683994]$ |
\(y^2=x^3-23478862251x+1199051036683994\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
413712.z2 |
413712z1 |
413712.z |
413712z |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{40} \cdot 3^{13} \cdot 13^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$563576832$ |
$4.579651$ |
$50611530622079699/169662750916608$ |
$[0, 0, 0, 2438004309, 101435454254810]$ |
\(y^2=x^3+2438004309x+101435454254810\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[]$ |
413712.ba1 |
413712ba1 |
413712.ba |
413712ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{6} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$1.223577$ |
$35152/17$ |
$[0, 0, 0, -6591, 83486]$ |
\(y^2=x^3-6591x+83486\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 68.24.0.f.1, 312.12.0.?, $\ldots$ |
$[]$ |
413712.ba2 |
413712ba2 |
413712.ba |
413712ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{10} \cdot 3^{6} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$1.570150$ |
$415292/289$ |
$[0, 0, 0, 23829, 637130]$ |
\(y^2=x^3+23829x+637130\) |
2.3.0.a.1, 4.6.0.a.1, 68.12.0.d.1, 136.24.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
413712.bb1 |
413712bb6 |
413712.bb |
413712bb |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{22} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$10608$ |
$192$ |
$1$ |
$4.168192477$ |
$1$ |
|
$1$ |
$88080384$ |
$3.680084$ |
$908031902324522977/161726530797$ |
$[0, 0, 0, -490954971, -4186429333814]$ |
\(y^2=x^3-490954971x-4186429333814\) |
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, $\ldots$ |
$[(-321139/5, 2895984/5)]$ |
413712.bb2 |
413712bb4 |
413712.bb |
413712bb |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{14} \cdot 13^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$5304$ |
$192$ |
$1$ |
$8.336384955$ |
$1$ |
|
$3$ |
$44040192$ |
$3.333511$ |
$296380748763217/92608836489$ |
$[0, 0, 0, -33803211, -51308803910]$ |
\(y^2=x^3-33803211x-51308803910\) |
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, $\ldots$ |
$[(41769/2, 6855485/2)]$ |
413712.bb3 |
413712bb2 |
413712.bb |
413712bb |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{10} \cdot 13^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.15 |
2Cs |
$5304$ |
$192$ |
$1$ |
$4.168192477$ |
$1$ |
|
$7$ |
$22020096$ |
$2.986938$ |
$17806161424897/668584449$ |
$[0, 0, 0, -13239291, 17929914730]$ |
\(y^2=x^3-13239291x+17929914730\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0-8.d.1.12, 68.24.0.c.1, $\ldots$ |
$[(1322, 52326)]$ |
413712.bb4 |
413712bb1 |
413712.bb |
413712bb |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{8} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$10608$ |
$192$ |
$1$ |
$2.084096238$ |
$1$ |
|
$3$ |
$11010048$ |
$2.640362$ |
$17319700013617/25857$ |
$[0, 0, 0, -13117611, 18286461466]$ |
\(y^2=x^3-13117611x+18286461466\) |
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, $\ldots$ |
$[(2925, 70304)]$ |
413712.bb5 |
413712bb3 |
413712.bb |
413712bb |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{8} \cdot 13^{14} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.92 |
2B |
$10608$ |
$192$ |
$1$ |
$8.336384955$ |
$1$ |
|
$3$ |
$44040192$ |
$3.333511$ |
$1193377118543/124806800313$ |
$[0, 0, 0, 5377749, 64349642266]$ |
\(y^2=x^3+5377749x+64349642266\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 48.48.0-8.ba.1.4, 68.12.0.h.1, $\ldots$ |
$[(9434, 977094)]$ |
413712.bb6 |
413712bb5 |
413712.bb |
413712bb |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{10} \cdot 13^{7} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.91 |
2B |
$10608$ |
$192$ |
$1$ |
$16.67276991$ |
$1$ |
|
$1$ |
$88080384$ |
$3.680084$ |
$6439735268725823/7345472585373$ |
$[0, 0, 0, 94325829, -347466266966]$ |
\(y^2=x^3+94325829x-347466266966\) |
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, $\ldots$ |
$[(123882993/122, 1828723437905/122)]$ |
413712.bc1 |
413712bc2 |
413712.bc |
413712bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{7} \cdot 13^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$8.720291109$ |
$1$ |
|
$1$ |
$9289728$ |
$2.594116$ |
$437640371152/246167259$ |
$[0, 0, 0, -1527591, 121647890]$ |
\(y^2=x^3-1527591x+121647890\) |
2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.? |
$[(-2287/2, 227423/2)]$ |