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 |
3675.a1 |
3675d2 |
3675.a |
3675d |
$2$ |
$13$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{13} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.2 |
13B.4.2 |
$2730$ |
$336$ |
$9$ |
$3.354600696$ |
$1$ |
|
$2$ |
$69888$ |
$2.215061$ |
$-1713910976512/1594323$ |
$1.10592$ |
$6.50424$ |
$[0, -1, 1, -1117608, -454753132]$ |
\(y^2+y=x^3-x^2-1117608x-454753132\) |
6.2.0.a.1, 13.28.0.a.2, 65.56.0-13.a.2.1, 78.56.1.?, 91.84.2.?, $\ldots$ |
$[(1307, 17762)]$ |
3675.a2 |
3675d1 |
3675.a |
3675d |
$2$ |
$13$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3 \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.1 |
13B.4.1 |
$2730$ |
$336$ |
$9$ |
$0.258046207$ |
$1$ |
|
$6$ |
$5376$ |
$0.932587$ |
$-28672/3$ |
$0.91239$ |
$4.34309$ |
$[0, -1, 1, -2858, 64868]$ |
\(y^2+y=x^3-x^2-2858x+64868\) |
6.2.0.a.1, 13.28.0.a.1, 65.56.0-13.a.1.1, 78.56.1.?, 91.84.2.?, $\ldots$ |
$[(82, 612)]$ |
3675.b1 |
3675f2 |
3675.b |
3675f |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3 \cdot 5^{10} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$210$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$9900$ |
$1.184576$ |
$-102400/3$ |
$1.04391$ |
$4.79405$ |
$[0, -1, 1, -10208, 410318]$ |
\(y^2+y=x^3-x^2-10208x+410318\) |
5.12.0.a.2, 6.2.0.a.1, 30.24.1.d.2, 35.24.0-5.a.2.2, 210.48.1.? |
$[]$ |
3675.b2 |
3675f1 |
3675.b |
3675f |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{5} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$210$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1980$ |
$0.379857$ |
$20480/243$ |
$1.13104$ |
$3.38544$ |
$[0, -1, 1, 82, -1282]$ |
\(y^2+y=x^3-x^2+82x-1282\) |
5.12.0.a.1, 6.2.0.a.1, 30.24.1.d.1, 35.24.0-5.a.1.2, 210.48.1.? |
$[]$ |
3675.c1 |
3675n2 |
3675.c |
3675n |
$2$ |
$13$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{13} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.2 |
13B.4.2 |
$2730$ |
$336$ |
$9$ |
$0.097765960$ |
$1$ |
|
$10$ |
$9984$ |
$1.242105$ |
$-1713910976512/1594323$ |
$1.10592$ |
$5.08202$ |
$[0, 1, 1, -22808, 1319294]$ |
\(y^2+y=x^3+x^2-22808x+1319294\) |
6.2.0.a.1, 13.28.0.a.2, 78.56.1.?, 91.84.2.?, 455.168.2.?, $\ldots$ |
$[(13, 1012)]$ |
3675.c2 |
3675n1 |
3675.c |
3675n |
$2$ |
$13$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3 \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.1 |
13B.4.1 |
$2730$ |
$336$ |
$9$ |
$1.270957484$ |
$1$ |
|
$4$ |
$768$ |
$-0.040369$ |
$-28672/3$ |
$0.91239$ |
$2.92087$ |
$[0, 1, 1, -58, -206]$ |
\(y^2+y=x^3+x^2-58x-206\) |
6.2.0.a.1, 13.28.0.a.1, 78.56.1.?, 91.84.2.?, 455.168.2.?, $\ldots$ |
$[(13, 37)]$ |
3675.d1 |
3675h1 |
3675.d |
3675h |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{3} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.994704579$ |
$1$ |
|
$7$ |
$2304$ |
$0.581738$ |
$5177717/189$ |
$0.97949$ |
$3.89359$ |
$[1, 1, 1, -883, -10144]$ |
\(y^2+xy+y=x^3+x^2-883x-10144\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(34, 7)]$ |
3675.d2 |
3675h2 |
3675.d |
3675h |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.997352289$ |
$1$ |
|
$8$ |
$4608$ |
$0.928311$ |
$300763/35721$ |
$1.11388$ |
$4.19488$ |
$[1, 1, 1, 342, -34644]$ |
\(y^2+xy+y=x^3+x^2+342x-34644\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(76, 623)]$ |
3675.e1 |
3675b1 |
3675.e |
3675b |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{5} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.947563272$ |
$1$ |
|
$2$ |
$2520$ |
$0.707505$ |
$-46585/243$ |
$0.91462$ |
$3.87842$ |
$[1, 1, 1, -393, -9654]$ |
\(y^2+xy+y=x^3+x^2-393x-9654\) |
6.2.0.a.1 |
$[(36, 138)]$ |
3675.f1 |
3675l3 |
3675.f |
3675l |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3 \cdot 5^{10} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.032279644$ |
$1$ |
|
$4$ |
$18432$ |
$1.611712$ |
$157551496201/13125$ |
$0.96087$ |
$5.73923$ |
$[1, 0, 0, -137838, 19684167]$ |
\(y^2+xy=x^3-137838x+19684167\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 40.12.0.ba.1, 42.6.0.a.1, $\ldots$ |
$[(137, 1769)]$ |
3675.f2 |
3675l2 |
3675.f |
3675l |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$2.064559289$ |
$1$ |
|
$8$ |
$9216$ |
$1.265139$ |
$47045881/11025$ |
$1.04751$ |
$4.75055$ |
$[1, 0, 0, -9213, 261792]$ |
\(y^2+xy=x^3-9213x+261792\) |
2.6.0.a.1, 12.12.0-2.a.1.2, 20.12.0.a.1, 28.12.0-2.a.1.1, 60.24.0-20.a.1.4, $\ldots$ |
$[(81, 180)]$ |
3675.f3 |
3675l1 |
3675.f |
3675l |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3 \cdot 5^{7} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$4.129118578$ |
$1$ |
|
$3$ |
$4608$ |
$0.918565$ |
$1771561/105$ |
$0.96659$ |
$4.35109$ |
$[1, 0, 0, -3088, -62833]$ |
\(y^2+xy=x^3-3088x-62833\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 28.12.0-4.c.1.2, 40.12.0.ba.1, $\ldots$ |
$[(403, 7810)]$ |
3675.f4 |
3675l4 |
3675.f |
3675l |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{4} \cdot 5^{7} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.032279644$ |
$1$ |
|
$6$ |
$18432$ |
$1.611712$ |
$590589719/972405$ |
$0.94478$ |
$5.13335$ |
$[1, 0, 0, 21412, 1639917]$ |
\(y^2+xy=x^3+21412x+1639917\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.5, 28.12.0-4.c.1.1, $\ldots$ |
$[(67, 1804)]$ |
3675.g1 |
3675k1 |
3675.g |
3675k |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{5} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.201144133$ |
$1$ |
|
$6$ |
$360$ |
$-0.265450$ |
$-46585/243$ |
$0.91462$ |
$2.45620$ |
$[1, 0, 0, -8, 27]$ |
\(y^2+xy=x^3-8x+27\) |
6.2.0.a.1 |
$[(1, 4)]$ |
3675.h1 |
3675a2 |
3675.h |
3675a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3 \cdot 5^{12} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$11.45509831$ |
$1$ |
|
$0$ |
$24192$ |
$1.877590$ |
$-19539165184/46875$ |
$1.11564$ |
$5.95954$ |
$[0, -1, 1, -251533, -48572532]$ |
\(y^2+y=x^3-x^2-251533x-48572532\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1 |
$[(367452/19, 187705808/19)]$ |
3675.h2 |
3675a1 |
3675.h |
3675a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$3.818366104$ |
$1$ |
|
$2$ |
$8064$ |
$1.328283$ |
$229376/675$ |
$1.26669$ |
$4.74758$ |
$[0, -1, 1, 5717, -338157]$ |
\(y^2+y=x^3-x^2+5717x-338157\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2 |
$[(177, 2487)]$ |
3675.i1 |
3675i2 |
3675.i |
3675i |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3 \cdot 5^{12} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$1.512311123$ |
$1$ |
|
$2$ |
$3456$ |
$0.904635$ |
$-19539165184/46875$ |
$1.11564$ |
$4.53732$ |
$[0, 1, 1, -5133, 140144]$ |
\(y^2+y=x^3+x^2-5133x+140144\) |
3.4.0.a.1, 6.8.0.b.1, 105.8.0.?, 210.16.0.? |
$[(38, 37)]$ |
3675.i2 |
3675i1 |
3675.i |
3675i |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$0.504103707$ |
$1$ |
|
$4$ |
$1152$ |
$0.355329$ |
$229376/675$ |
$1.26669$ |
$3.32536$ |
$[0, 1, 1, 117, 1019]$ |
\(y^2+y=x^3+x^2+117x+1019\) |
3.4.0.a.1, 6.8.0.b.1, 105.8.0.?, 210.16.0.? |
$[(3, 37)]$ |
3675.j1 |
3675e7 |
3675.j |
3675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$2.068542$ |
$1114544804970241/405$ |
$1.07354$ |
$6.81900$ |
$[1, 1, 0, -2646025, 1655579500]$ |
\(y^2+xy=x^3+x^2-2646025x+1655579500\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
3675.j2 |
3675e5 |
3675.j |
3675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.123 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$18432$ |
$1.721970$ |
$272223782641/164025$ |
$1.03897$ |
$5.80585$ |
$[1, 1, 0, -165400, 25808875]$ |
\(y^2+xy=x^3+x^2-165400x+25808875\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 28.24.0-4.b.1.2, $\ldots$ |
$[]$ |
3675.j3 |
3675e8 |
3675.j |
3675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{16} \cdot 5^{7} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$2.068542$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.88450$ |
$[1, 1, 0, -134775, 35700750]$ |
\(y^2+xy=x^3+x^2-134775x+35700750\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
3675.j4 |
3675e3 |
3675.j |
3675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3 \cdot 5^{7} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$1.375397$ |
$56667352321/15$ |
$1.03019$ |
$5.61467$ |
$[1, 1, 0, -98025, -11853750]$ |
\(y^2+xy=x^3+x^2-98025x-11853750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$ |
$[]$ |
3675.j5 |
3675e4 |
3675.j |
3675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{10} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.44 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$9216$ |
$1.375397$ |
$111284641/50625$ |
$1.02534$ |
$4.85543$ |
$[1, 1, 0, -12275, 237000]$ |
\(y^2+xy=x^3+x^2-12275x+237000\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$ |
$[]$ |
3675.j6 |
3675e2 |
3675.j |
3675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.3 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$4608$ |
$1.028822$ |
$13997521/225$ |
$0.96230$ |
$4.60288$ |
$[1, 1, 0, -6150, -185625]$ |
\(y^2+xy=x^3+x^2-6150x-185625\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$ |
$[]$ |
3675.j7 |
3675e1 |
3675.j |
3675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3 \cdot 5^{7} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.682249$ |
$-1/15$ |
$1.19808$ |
$3.83649$ |
$[1, 1, 0, -25, -8000]$ |
\(y^2+xy=x^3+x^2-25x-8000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$ |
$[]$ |
3675.j8 |
3675e6 |
3675.j |
3675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{2} \cdot 5^{14} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$1.721970$ |
$4733169839/3515625$ |
$1.05585$ |
$5.31226$ |
$[1, 1, 0, 42850, 1835625]$ |
\(y^2+xy=x^3+x^2+42850x+1835625\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[]$ |
3675.k1 |
3675g1 |
3675.k |
3675g |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{5} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.011115733$ |
$1$ |
|
$2$ |
$1800$ |
$0.539269$ |
$-46585/243$ |
$0.91462$ |
$3.63250$ |
$[1, 1, 0, -200, 3375]$ |
\(y^2+xy=x^3+x^2-200x+3375\) |
6.2.0.a.1 |
$[(10, 45)]$ |
3675.l1 |
3675p1 |
3675.l |
3675p |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{3} \cdot 5^{9} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$1.386456$ |
$5177717/189$ |
$0.97949$ |
$5.06989$ |
$[1, 0, 1, -22076, -1223827]$ |
\(y^2+xy+y=x^3-22076x-1223827\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[]$ |
3675.l2 |
3675p2 |
3675.l |
3675p |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.733030$ |
$300763/35721$ |
$1.11388$ |
$5.37119$ |
$[1, 0, 1, 8549, -4347577]$ |
\(y^2+xy+y=x^3+8549x-4347577\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
3675.m1 |
3675o1 |
3675.m |
3675o |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{5} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.519059052$ |
$1$ |
|
$2$ |
$12600$ |
$1.512224$ |
$-46585/243$ |
$0.91462$ |
$5.05472$ |
$[1, 0, 1, -9826, -1187077]$ |
\(y^2+xy+y=x^3-9826x-1187077\) |
6.2.0.a.1 |
$[(151, 806)]$ |
3675.n1 |
3675j5 |
3675.n |
3675j |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3 \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$7.725929285$ |
$1$ |
|
$0$ |
$24576$ |
$1.851879$ |
$53297461115137/147$ |
$1.05087$ |
$6.44866$ |
$[1, 0, 1, -960426, 362199373]$ |
\(y^2+xy+y=x^3-960426x+362199373\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$ |
$[(87397/12, 2443027/12)]$ |
3675.n2 |
3675j4 |
3675.n |
3675j |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.862964642$ |
$1$ |
|
$2$ |
$12288$ |
$1.505306$ |
$13027640977/21609$ |
$1.08149$ |
$5.43559$ |
$[1, 0, 1, -60051, 5650873]$ |
\(y^2+xy+y=x^3-60051x+5650873\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
$[(683/2, 4263/2)]$ |
3675.n3 |
3675j3 |
3675.n |
3675j |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$0.965741160$ |
$1$ |
|
$4$ |
$12288$ |
$1.505306$ |
$6570725617/45927$ |
$1.00160$ |
$5.35221$ |
$[1, 0, 1, -47801, -4002127]$ |
\(y^2+xy+y=x^3-47801x-4002127\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 20.12.0-4.c.1.1, 28.12.0.h.1, $\ldots$ |
$[(-129, 211)]$ |
3675.n4 |
3675j6 |
3675.n |
3675j |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3 \cdot 5^{6} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$7.725929285$ |
$1$ |
|
$0$ |
$24576$ |
$1.851879$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.55330$ |
$[1, 0, 1, -41676, 9178873]$ |
\(y^2+xy+y=x^3-41676x+9178873\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(2227/6, 558061/6)]$ |
3675.n5 |
3675j2 |
3675.n |
3675j |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.931482321$ |
$1$ |
|
$6$ |
$6144$ |
$1.158731$ |
$7189057/3969$ |
$1.14862$ |
$4.52172$ |
$[1, 0, 1, -4926, 28123]$ |
\(y^2+xy+y=x^3-4926x+28123\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.2, 24.48.0.w.2, $\ldots$ |
$[(-13, 306)]$ |
3675.n6 |
3675j1 |
3675.n |
3675j |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{2} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$3.862964642$ |
$1$ |
|
$3$ |
$3072$ |
$0.812159$ |
$103823/63$ |
$0.97868$ |
$4.00552$ |
$[1, 0, 1, 1199, 3623]$ |
\(y^2+xy+y=x^3+1199x+3623\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[(61, 521)]$ |
3675.o1 |
3675c1 |
3675.o |
3675c |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{7} \cdot 5^{10} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.884337119$ |
$1$ |
|
$0$ |
$16128$ |
$1.326488$ |
$-1376628736/1366875$ |
$1.03772$ |
$4.80945$ |
$[0, -1, 1, -7758, 436043]$ |
\(y^2+y=x^3-x^2-7758x+436043\) |
6.2.0.a.1 |
$[(-427/2, 1521/2)]$ |
3675.p1 |
3675m1 |
3675.p |
3675m |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{7} \cdot 5^{10} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$5.610493607$ |
$1$ |
|
$0$ |
$112896$ |
$2.299442$ |
$-1376628736/1366875$ |
$1.03772$ |
$6.23167$ |
$[0, 1, 1, -380158, -148802531]$ |
\(y^2+y=x^3+x^2-380158x-148802531\) |
6.2.0.a.1 |
$[(7397/2, 591971/2)]$ |
3675.q1 |
3675q1 |
3675.q |
3675q |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3 \cdot 5^{4} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$210$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1980$ |
$0.379857$ |
$-102400/3$ |
$1.04391$ |
$3.61775$ |
$[0, 1, 1, -408, 3119]$ |
\(y^2+y=x^3+x^2-408x+3119\) |
5.12.0.a.2, 6.2.0.a.1, 30.24.1.d.2, 35.24.0-5.a.2.1, 210.48.1.? |
$[]$ |
3675.q2 |
3675q2 |
3675.q |
3675q |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{5} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$210$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$9900$ |
$1.184576$ |
$20480/243$ |
$1.13104$ |
$4.56174$ |
$[0, 1, 1, 2042, -156131]$ |
\(y^2+y=x^3+x^2+2042x-156131\) |
5.12.0.a.1, 6.2.0.a.1, 30.24.1.d.1, 35.24.0-5.a.1.1, 210.48.1.? |
$[]$ |