| 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 |
| 76050.a1 |
76050p1 |
76050.a |
76050p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{34} \cdot 3^{9} \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$10.03999599$ |
$1$ |
|
$0$ |
$210038400$ |
$4.558540$ |
$-74168622330075/17179869184$ |
$1.07423$ |
$7.00903$ |
$[1, -1, 0, -4720031367, 147697594324541]$ |
\(y^2+xy=x^3-x^2-4720031367x+147697594324541\) |
6.2.0.a.1 |
$[(1289615422/43, 46068809574091/43)]$ |
| 76050.b1 |
76050x1 |
76050.b |
76050x |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{34} \cdot 3^{9} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3231360$ |
$2.471344$ |
$-74168622330075/17179869184$ |
$1.07423$ |
$4.78054$ |
$[1, -1, 0, -1117167, 538090541]$ |
\(y^2+xy=x^3-x^2-1117167x+538090541\) |
6.2.0.a.1 |
$[]$ |
| 76050.c1 |
76050cz2 |
76050.c |
76050cz |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{7} \cdot 3^{14} \cdot 5^{9} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$5.705811910$ |
$1$ |
|
$0$ |
$24084480$ |
$3.463528$ |
$38686490446661/141927552$ |
$1.00180$ |
$6.02829$ |
$[1, -1, 0, -133962867, -594866264459]$ |
\(y^2+xy=x^3-x^2-133962867x-594866264459\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(-27273/2, 339247/2)]$ |
| 76050.c2 |
76050cz1 |
76050.c |
76050cz |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{9} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$2.852905955$ |
$1$ |
|
$3$ |
$12042240$ |
$3.116955$ |
$29819839301/17252352$ |
$1.14121$ |
$5.39051$ |
$[1, -1, 0, -12282867, 270615541]$ |
\(y^2+xy=x^3-x^2-12282867x+270615541\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(-3162, 88109)]$ |
| 76050.d1 |
76050cy1 |
76050.d |
76050cy |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{7} \cdot 5^{3} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$5.159079671$ |
$1$ |
|
$2$ |
$658944$ |
$1.708483$ |
$-895973/24$ |
$0.87305$ |
$4.06530$ |
$[1, -1, 0, -84447, -9640539]$ |
\(y^2+xy=x^3-x^2-84447x-9640539\) |
120.2.0.? |
$[(999, 29538)]$ |
| 76050.e1 |
76050cx1 |
76050.e |
76050cx |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{13} \cdot 5^{8} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$10.19024803$ |
$1$ |
|
$0$ |
$16773120$ |
$3.338902$ |
$125801065/34992$ |
$0.98501$ |
$5.67364$ |
$[1, -1, 0, -35478117, 58625301541]$ |
\(y^2+xy=x^3-x^2-35478117x+58625301541\) |
12.2.0.a.1 |
$[(4630/3, 5427353/3)]$ |
| 76050.f1 |
76050n1 |
76050.f |
76050n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.773878484$ |
$1$ |
|
$4$ |
$50688$ |
$0.385452$ |
$9477/10$ |
$0.73431$ |
$2.42358$ |
$[1, -1, 0, 183, -909]$ |
\(y^2+xy=x^3-x^2+183x-909\) |
120.2.0.? |
$[(9, 33)]$ |
| 76050.g1 |
76050v2 |
76050.g |
76050v |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{8} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.4 |
3B.1.2 |
$468$ |
$144$ |
$2$ |
$7.423705591$ |
$1$ |
|
$8$ |
$16174080$ |
$3.345734$ |
$682724835/262144$ |
$0.99472$ |
$5.66095$ |
$[1, -1, 0, -33830367, 43942750541]$ |
\(y^2+xy=x^3-x^2-33830367x+43942750541\) |
3.8.0-3.a.1.1, 9.24.0-9.b.1.1, 12.16.0-12.b.1.2, 36.48.0-36.c.1.2, 117.72.0.?, $\ldots$ |
$[(1310, 42609), (-1250, 290929)]$ |
| 76050.g2 |
76050v1 |
76050.g |
76050v |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 13^{8} \) |
$2$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.2 |
3B.1.1 |
$468$ |
$144$ |
$2$ |
$7.423705591$ |
$1$ |
|
$12$ |
$5391360$ |
$2.796425$ |
$337135557915/64$ |
$1.01744$ |
$5.62629$ |
$[1, -1, 0, -29710992, 62341252416]$ |
\(y^2+xy=x^3-x^2-29710992x+62341252416\) |
3.8.0-3.a.1.2, 9.24.0-9.b.1.2, 12.16.0-12.b.1.4, 36.48.0-36.c.1.4, 117.72.0.?, $\ldots$ |
$[(3144, -1272), (6069, 321828)]$ |
| 76050.h1 |
76050bu1 |
76050.h |
76050bu |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{11} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7741440$ |
$2.993450$ |
$65787589563409/10400000$ |
$0.97958$ |
$5.64593$ |
$[1, -1, 0, -31979817, 69606955341]$ |
\(y^2+xy=x^3-x^2-31979817x+69606955341\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[]$ |
| 76050.h2 |
76050bu2 |
76050.h |
76050bu |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{16} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15482880$ |
$3.340023$ |
$-48743122863889/26406250000$ |
$0.98824$ |
$5.67804$ |
$[1, -1, 0, -28937817, 83378089341]$ |
\(y^2+xy=x^3-x^2-28937817x+83378089341\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.2, 260.12.0.?, 520.24.0.?, $\ldots$ |
$[]$ |
| 76050.i1 |
76050l4 |
76050.i |
76050l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{7} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$10.01839595$ |
$1$ |
|
$0$ |
$13934592$ |
$3.201000$ |
$520300455507/193072360$ |
$0.98306$ |
$5.50856$ |
$[1, -1, 0, -19114692, 19271636216]$ |
\(y^2+xy=x^3-x^2-19114692x+19271636216\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.1, 60.24.0-6.a.1.5, $\ldots$ |
$[(106691/2, 34288509/2)]$ |
| 76050.i2 |
76050l2 |
76050.i |
76050l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{9} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$3.339465317$ |
$1$ |
|
$4$ |
$4644864$ |
$2.651695$ |
$261984288445803/42250$ |
$1.00391$ |
$5.47564$ |
$[1, -1, 0, -16896567, 26737105591]$ |
\(y^2+xy=x^3-x^2-16896567x+26737105591\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.9, 60.24.0-6.a.1.9, $\ldots$ |
$[(2379, -727)]$ |
| 76050.i3 |
76050l1 |
76050.i |
76050l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{12} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1.669732658$ |
$1$ |
|
$7$ |
$2322432$ |
$2.305122$ |
$-63378025803/812500$ |
$0.94486$ |
$4.73670$ |
$[1, -1, 0, -1052817, 420636841]$ |
\(y^2+xy=x^3-x^2-1052817x+420636841\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.9, 30.24.0-6.a.1.4, $\ldots$ |
$[(689, 4343)]$ |
| 76050.i4 |
76050l3 |
76050.i |
76050l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{8} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$5.009197976$ |
$1$ |
|
$3$ |
$6967296$ |
$2.854427$ |
$3774555693/3515200$ |
$0.94972$ |
$5.07026$ |
$[1, -1, 0, 3700308, 2137571216]$ |
\(y^2+xy=x^3-x^2+3700308x+2137571216\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.1, 30.24.0-6.a.1.3, $\ldots$ |
$[(26504, 4313148)]$ |
| 76050.j1 |
76050bt1 |
76050.j |
76050bt |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{10} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4233600$ |
$2.684364$ |
$304175/21632$ |
$0.97871$ |
$4.93847$ |
$[1, -1, 0, 455508, -1306513584]$ |
\(y^2+xy=x^3-x^2+455508x-1306513584\) |
8.2.0.a.1 |
$[]$ |
| 76050.k1 |
76050m2 |
76050.k |
76050m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$2340$ |
$144$ |
$2$ |
$1.800895050$ |
$1$ |
|
$2$ |
$248832$ |
$1.258539$ |
$682724835/262144$ |
$0.99472$ |
$3.43246$ |
$[1, -1, 0, -8007, 161981]$ |
\(y^2+xy=x^3-x^2-8007x+161981\) |
3.4.0.a.1, 9.12.0.b.1, 12.8.0.b.1, 36.24.0.c.1, 117.36.0.?, $\ldots$ |
$[(-82, 553)]$ |
| 76050.k2 |
76050m1 |
76050.k |
76050m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$2340$ |
$144$ |
$2$ |
$0.600298350$ |
$1$ |
|
$2$ |
$82944$ |
$0.709232$ |
$337135557915/64$ |
$1.01744$ |
$3.39780$ |
$[1, -1, 0, -7032, 228736]$ |
\(y^2+xy=x^3-x^2-7032x+228736\) |
3.4.0.a.1, 9.12.0.b.1, 12.8.0.b.1, 36.24.0.c.1, 117.36.0.?, $\ldots$ |
$[(48, -16)]$ |
| 76050.l1 |
76050cv1 |
76050.l |
76050cv |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{8} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$2.497131338$ |
$1$ |
|
$2$ |
$1128960$ |
$1.951885$ |
$34295/78$ |
$0.80517$ |
$4.12617$ |
$[1, -1, 0, 75258, -13621334]$ |
\(y^2+xy=x^3-x^2+75258x-13621334\) |
312.2.0.? |
$[(725, 20171)]$ |
| 76050.m1 |
76050bv1 |
76050.m |
76050bv |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{13} \cdot 5^{2} \cdot 13^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$0.498357130$ |
$1$ |
|
$16$ |
$258048$ |
$1.251709$ |
$125801065/34992$ |
$0.98501$ |
$3.44515$ |
$[1, -1, 0, -8397, 215541]$ |
\(y^2+xy=x^3-x^2-8397x+215541\) |
12.2.0.a.1 |
$[(153, 1503), (-90, 531)]$ |
| 76050.n1 |
76050cw1 |
76050.n |
76050cw |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{7} \cdot 5^{9} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$2.022437068$ |
$1$ |
|
$2$ |
$253440$ |
$1.230726$ |
$-895973/24$ |
$0.87305$ |
$3.55520$ |
$[1, -1, 0, -12492, -546584]$ |
\(y^2+xy=x^3-x^2-12492x-546584\) |
120.2.0.? |
$[(269, 3803)]$ |
| 76050.o1 |
76050ce2 |
76050.o |
76050ce |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{10} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$780$ |
$48$ |
$1$ |
$8.679507796$ |
$1$ |
|
$0$ |
$14976000$ |
$3.265968$ |
$-5674525/9216$ |
$0.97967$ |
$5.57505$ |
$[1, -1, 0, -15705117, -46734030459]$ |
\(y^2+xy=x^3-x^2-15705117x-46734030459\) |
5.6.0.a.1, 20.12.0.p.2, 52.2.0.a.1, 65.12.0.a.1, 195.24.0.?, $\ldots$ |
$[(3912042/17, 7288452267/17)]$ |
| 76050.o2 |
76050ce1 |
76050.o |
76050ce |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{16} \cdot 5^{2} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$780$ |
$48$ |
$1$ |
$1.735901559$ |
$1$ |
|
$4$ |
$2995200$ |
$2.461246$ |
$-110940205/236196$ |
$0.98584$ |
$4.71234$ |
$[1, -1, 0, -578772, 366738516]$ |
\(y^2+xy=x^3-x^2-578772x+366738516\) |
5.6.0.a.1, 20.12.0.p.1, 52.2.0.a.1, 65.12.0.a.2, 195.24.0.?, $\ldots$ |
$[(-42, 19794)]$ |
| 76050.p1 |
76050br2 |
76050.p |
76050br |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{35} \cdot 3^{6} \cdot 5^{7} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$10920$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$117411840$ |
$4.388283$ |
$-1762712152495281/171798691840$ |
$1.13774$ |
$6.86521$ |
$[1, -1, 0, -2925137292, 65821986481616]$ |
\(y^2+xy=x^3-x^2-2925137292x+65821986481616\) |
7.8.0.a.1, 40.2.0.a.1, 91.24.0.?, 280.16.0.?, 1365.48.0.?, $\ldots$ |
$[]$ |
| 76050.p2 |
76050br1 |
76050.p |
76050br |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{13} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$10920$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$16773120$ |
$3.415329$ |
$-2609064081/2500000$ |
$1.05128$ |
$5.74392$ |
$[1, -1, 0, -33336042, -120721355884]$ |
\(y^2+xy=x^3-x^2-33336042x-120721355884\) |
7.8.0.a.1, 40.2.0.a.1, 91.24.0.?, 280.16.0.?, 1365.48.0.?, $\ldots$ |
$[]$ |
| 76050.q1 |
76050cd2 |
76050.q |
76050cd |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$49.46246742$ |
$1$ |
|
$0$ |
$5054400$ |
$2.937641$ |
$-1680914269/32768$ |
$1.02322$ |
$5.39263$ |
$[1, -1, 0, -12244842, -16764588684]$ |
\(y^2+xy=x^3-x^2-12244842x-16764588684\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.1, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[(112812762372694011832135/3792756299, 32950068288627450248399945036221591/3792756299)]$ |
| 76050.q2 |
76050cd1 |
76050.q |
76050cd |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$9.892493485$ |
$1$ |
|
$0$ |
$1010880$ |
$2.132923$ |
$1331/8$ |
$0.93577$ |
$4.33892$ |
$[1, -1, 0, 113283, 44932941]$ |
\(y^2+xy=x^3-x^2+113283x+44932941\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.2, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[(369565/37, 487210127/37)]$ |
| 76050.r1 |
76050bp1 |
76050.r |
76050bp |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{14} \cdot 5^{7} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$516096$ |
$1.739805$ |
$-1557701041/4199040$ |
$0.96965$ |
$3.93960$ |
$[1, -1, 0, -30042, -4759884]$ |
\(y^2+xy=x^3-x^2-30042x-4759884\) |
40.2.0.a.1 |
$[]$ |
| 76050.s1 |
76050bq1 |
76050.s |
76050bq |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{10} \cdot 5^{11} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$40734720$ |
$3.895279$ |
$-2813198004118489/33177600000$ |
$1.02381$ |
$6.43832$ |
$[1, -1, 0, -618287292, -5977274142384]$ |
\(y^2+xy=x^3-x^2-618287292x-5977274142384\) |
40.2.0.a.1 |
$[]$ |
| 76050.t1 |
76050dd2 |
76050.t |
76050dd |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{16} \cdot 5^{8} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$780$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1152000$ |
$1.983492$ |
$-110940205/236196$ |
$0.98584$ |
$4.20224$ |
$[1, -1, 0, -85617, 20879041]$ |
\(y^2+xy=x^3-x^2-85617x+20879041\) |
5.6.0.a.1, 20.12.0.p.1, 52.2.0.a.1, 65.12.0.a.2, 195.24.0.?, $\ldots$ |
$[]$ |
| 76050.t2 |
76050dd1 |
76050.t |
76050dd |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$780$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$230400$ |
$1.178772$ |
$-5674525/9216$ |
$0.97967$ |
$3.34656$ |
$[1, -1, 0, -3717, -169259]$ |
\(y^2+xy=x^3-x^2-3717x-169259\) |
5.6.0.a.1, 20.12.0.p.2, 52.2.0.a.1, 65.12.0.a.1, 195.24.0.?, $\ldots$ |
$[]$ |
| 76050.u1 |
76050bo1 |
76050.u |
76050bo |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$120$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4313088$ |
$2.769226$ |
$-156116857/186624$ |
$1.01025$ |
$5.04970$ |
$[1, -1, 0, -2358342, -2440148684]$ |
\(y^2+xy=x^3-x^2-2358342x-2440148684\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 15.8.0-3.a.1.1, 24.16.0.b.2, $\ldots$ |
$[]$ |
| 76050.u2 |
76050bo2 |
76050.u |
76050bo |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{24} \cdot 3^{8} \cdot 5^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$120$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12939264$ |
$3.318531$ |
$93603087383/150994944$ |
$1.05810$ |
$5.57080$ |
$[1, -1, 0, 19886283, 45630485941]$ |
\(y^2+xy=x^3-x^2+19886283x+45630485941\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 15.8.0-3.a.1.2, 24.16.0.b.1, $\ldots$ |
$[]$ |
| 76050.v1 |
76050t2 |
76050.v |
76050t |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$312$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1306368$ |
$2.141613$ |
$-8538302475/26$ |
$0.97351$ |
$4.85649$ |
$[1, -1, 0, -1661217, -823701709]$ |
\(y^2+xy=x^3-x^2-1661217x-823701709\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 39.8.0-3.a.1.2, 312.16.0.? |
$[]$ |
| 76050.v2 |
76050t1 |
76050.v |
76050t |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$312$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$435456$ |
$1.592308$ |
$-3316275/17576$ |
$0.95364$ |
$3.77750$ |
$[1, -1, 0, -13467, -1913859]$ |
\(y^2+xy=x^3-x^2-13467x-1913859\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 39.8.0-3.a.1.1, 312.16.0.? |
$[]$ |
| 76050.w1 |
76050cr2 |
76050.w |
76050cr |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{4} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$1560$ |
$384$ |
$9$ |
$2.508476286$ |
$1$ |
|
$0$ |
$388800$ |
$1.654987$ |
$-349938025/8$ |
$1.05078$ |
$4.27901$ |
$[1, -1, 0, -190917, 32156541]$ |
\(y^2+xy=x^3-x^2-190917x+32156541\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(1015/2, -677/2)]$ |
| 76050.w2 |
76050cr3 |
76050.w |
76050cr |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{8} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$1560$ |
$384$ |
$9$ |
$4.180793811$ |
$1$ |
|
$2$ |
$648000$ |
$1.910400$ |
$-121945/32$ |
$0.94334$ |
$4.17666$ |
$[1, -1, 0, -114867, -18036459]$ |
\(y^2+xy=x^3-x^2-114867x-18036459\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 24.8.0.a.1, $\ldots$ |
$[(7069, 590078)]$ |
| 76050.w3 |
76050cr1 |
76050.w |
76050cr |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{4} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$1560$ |
$384$ |
$9$ |
$0.836158762$ |
$1$ |
|
$4$ |
$129600$ |
$1.105680$ |
$-25/2$ |
$1.09044$ |
$3.25418$ |
$[1, -1, 0, -792, 101466]$ |
\(y^2+xy=x^3-x^2-792x+101466\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 24.8.0.a.1, $\ldots$ |
$[(49, 398)]$ |
| 76050.w4 |
76050cr4 |
76050.w |
76050cr |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{8} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$1560$ |
$384$ |
$9$ |
$12.54238143$ |
$1$ |
|
$0$ |
$1944000$ |
$2.459705$ |
$46969655/32768$ |
$1.06296$ |
$4.67312$ |
$[1, -1, 0, 835758, 133112916]$ |
\(y^2+xy=x^3-x^2+835758x+133112916\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 24.8.0.a.1, $\ldots$ |
$[(3408175/22, 6308085233/22)]$ |
| 76050.x1 |
76050s1 |
76050.x |
76050s |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{9} \cdot 5^{8} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2661120$ |
$2.713997$ |
$-6838155/26624$ |
$0.92145$ |
$4.97685$ |
$[1, -1, 0, -1318992, -1620515584]$ |
\(y^2+xy=x^3-x^2-1318992x-1620515584\) |
312.2.0.? |
$[]$ |
| 76050.y1 |
76050cq4 |
76050.y |
76050cq |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{5} \cdot 3^{16} \cdot 5^{9} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$1560$ |
$288$ |
$5$ |
$8.585617104$ |
$1$ |
|
$0$ |
$6144000$ |
$3.102520$ |
$502270291349/1889568$ |
$1.07575$ |
$5.64177$ |
$[1, -1, 0, -31485492, -67771509584]$ |
\(y^2+xy=x^3-x^2-31485492x-67771509584\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 40.72.1.bf.1, $\ldots$ |
$[(-409837/11, 5547829/11)]$ |
| 76050.y2 |
76050cq2 |
76050.y |
76050cq |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{9} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$1560$ |
$288$ |
$5$ |
$1.717123420$ |
$1$ |
|
$6$ |
$1228800$ |
$2.297802$ |
$131872229/18$ |
$1.12852$ |
$4.90817$ |
$[1, -1, 0, -2016117, 1102222291]$ |
\(y^2+xy=x^3-x^2-2016117x+1102222291\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 40.72.1.bf.2, $\ldots$ |
$[(803, 359)]$ |
| 76050.y3 |
76050cq3 |
76050.y |
76050cq |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{9} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$1560$ |
$288$ |
$5$ |
$17.17123420$ |
$1$ |
|
$1$ |
$3072000$ |
$2.755947$ |
$-19465109/248832$ |
$1.09754$ |
$5.01727$ |
$[1, -1, 0, -1065492, -2033889584]$ |
\(y^2+xy=x^3-x^2-1065492x-2033889584\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 30.72.1.i.1, $\ldots$ |
$[(1808747304/71, 76860272204708/71)]$ |
| 76050.y4 |
76050cq1 |
76050.y |
76050cq |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{9} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$1560$ |
$288$ |
$5$ |
$3.434246841$ |
$1$ |
|
$5$ |
$614400$ |
$1.951229$ |
$-24389/12$ |
$1.10339$ |
$4.19814$ |
$[1, -1, 0, -114867, 20411041]$ |
\(y^2+xy=x^3-x^2-114867x+20411041\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 30.72.1.i.2, $\ldots$ |
$[(-156, 5953)]$ |
| 76050.z1 |
76050bn1 |
76050.z |
76050bn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{9} \cdot 5^{9} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$1.815416$ |
$-2365581049/6750$ |
$0.97050$ |
$4.27944$ |
$[1, -1, 0, -190917, -32139509]$ |
\(y^2+xy=x^3-x^2-190917x-32139509\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 24.8.0-3.a.1.6, 120.16.0.? |
$[]$ |
| 76050.z2 |
76050bn2 |
76050.z |
76050bn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{7} \cdot 5^{15} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1741824$ |
$2.364723$ |
$18573478391/46875000$ |
$1.02244$ |
$4.57022$ |
$[1, -1, 0, 379458, -165036884]$ |
\(y^2+xy=x^3-x^2+379458x-165036884\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 24.8.0-3.a.1.5, 120.16.0.? |
$[]$ |
| 76050.ba1 |
76050i2 |
76050.ba |
76050i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.237048614$ |
$1$ |
|
$6$ |
$688128$ |
$1.844536$ |
$1033364331/676$ |
$1.11849$ |
$4.36850$ |
$[1, -1, 0, -266967, 53129441]$ |
\(y^2+xy=x^3-x^2-266967x+53129441\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(49, 6313)]$ |
| 76050.ba2 |
76050i1 |
76050.ba |
76050i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.618524307$ |
$1$ |
|
$11$ |
$344064$ |
$1.497963$ |
$-132651/208$ |
$1.11492$ |
$3.68787$ |
$[1, -1, 0, -13467, 1161941]$ |
\(y^2+xy=x^3-x^2-13467x+1161941\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(10, 1009)]$ |
| 76050.bb1 |
76050bg1 |
76050.bb |
76050bg |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1548288$ |
$2.245861$ |
$-2488672890625/2426112$ |
$1.09798$ |
$4.78192$ |
$[1, -1, 0, -1255617, -541686339]$ |
\(y^2+xy=x^3-x^2-1255617x-541686339\) |
52.2.0.a.1 |
$[]$ |
| 76050.bc1 |
76050cn1 |
76050.bc |
76050cn |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1.540247832$ |
$1$ |
|
$2$ |
$1290240$ |
$2.212318$ |
$34295/1872$ |
$0.91399$ |
$4.43412$ |
$[1, -1, 0, 75258, -76785084]$ |
\(y^2+xy=x^3-x^2+75258x-76785084\) |
52.2.0.a.1 |
$[(2844, 150678)]$ |
