| 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 |
| 82810.a1 |
82810s1 |
82810.a |
82810s |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 5 \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$1820$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$282240$ |
$1.069651$ |
$-5154200289/20$ |
$1.12200$ |
$3.67745$ |
$[1, -1, 0, -22255, -1272335]$ |
\(y^2+xy=x^3-x^2-22255x-1272335\) |
7.24.0.a.2, 20.2.0.a.1, 91.48.0.?, 140.48.2.?, 1820.96.2.? |
$[]$ |
| 82810.a2 |
82810s2 |
82810.a |
82810s |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{14} \cdot 5^{7} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$1820$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1975680$ |
$2.042606$ |
$1747829720511/1280000000$ |
$1.08633$ |
$4.19195$ |
$[1, -1, 0, 155195, 12086101]$ |
\(y^2+xy=x^3-x^2+155195x+12086101\) |
7.24.0.a.1, 20.2.0.a.1, 91.48.0.?, 140.48.2.?, 1820.96.2.? |
$[]$ |
| 82810.b1 |
82810q2 |
82810.b |
82810q |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{7} \cdot 13^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$7.524960540$ |
$1$ |
|
$8$ |
$1032192$ |
$2.081280$ |
$48587168449/59150$ |
$0.86593$ |
$4.56291$ |
$[1, 0, 1, -629529, -192102298]$ |
\(y^2+xy+y=x^3-629529x-192102298\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(-454, 649), (10859/2, 1065667/2)]$ |
| 82810.b2 |
82810q1 |
82810.b |
82810q |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 5 \cdot 7^{8} \cdot 13^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1.881240135$ |
$1$ |
|
$15$ |
$516096$ |
$1.734705$ |
$24137569/12740$ |
$0.94286$ |
$3.89114$ |
$[1, 0, 1, -49859, -1274934]$ |
\(y^2+xy+y=x^3-49859x-1274934\) |
2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.? |
$[(326, 3977), (-181, 1442)]$ |
| 82810.c1 |
82810p1 |
82810.c |
82810p |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{5} \cdot 7^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3870720$ |
$2.612381$ |
$65787589563409/10400000$ |
$0.97958$ |
$5.19967$ |
$[1, 0, 1, -6964494, 7072736192]$ |
\(y^2+xy+y=x^3-6964494x+7072736192\) |
2.3.0.a.1, 4.6.0.b.1, 130.6.0.?, 260.24.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
| 82810.c2 |
82810p2 |
82810.c |
82810p |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 5^{10} \cdot 7^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7741440$ |
$2.958954$ |
$-48743122863889/26406250000$ |
$0.98824$ |
$5.23153$ |
$[1, 0, 1, -6302014, 8472423936]$ |
\(y^2+xy+y=x^3-6302014x+8472423936\) |
2.3.0.a.1, 4.6.0.a.1, 260.12.0.?, 280.12.0.?, 520.24.0.?, $\ldots$ |
$[]$ |
| 82810.d1 |
82810y1 |
82810.d |
82810y |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{24} \cdot 5^{2} \cdot 7^{8} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$44706816$ |
$3.899925$ |
$-7626453723007966609/921488588800$ |
$0.99961$ |
$6.57306$ |
$[1, 0, 1, -1242647033, 16862131065756]$ |
\(y^2+xy+y=x^3-1242647033x+16862131065756\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 39.8.0-3.a.1.1, 52.2.0.a.1, 156.16.0.? |
$[]$ |
| 82810.d2 |
82810y2 |
82810.d |
82810y |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{8} \cdot 13^{15} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$134120448$ |
$4.449234$ |
$18547687612920431/42417997492000000$ |
$1.07323$ |
$6.77285$ |
$[1, 0, 1, 167110407, 52263752145308]$ |
\(y^2+xy+y=x^3+167110407x+52263752145308\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 39.8.0-3.a.1.2, 52.2.0.a.1, 156.16.0.? |
$[]$ |
| 82810.e1 |
82810z2 |
82810.e |
82810z |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2 \cdot 5^{3} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$369360$ |
$1.466864$ |
$-5452947409/250$ |
$0.98622$ |
$4.02611$ |
$[1, 0, 1, -82983, -9208132]$ |
\(y^2+xy+y=x^3-82983x-9208132\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 40.2.0.a.1, 120.8.0.?, 1560.16.0.? |
$[]$ |
| 82810.e2 |
82810z1 |
82810.e |
82810z |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 5 \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$123120$ |
$0.917557$ |
$-49/40$ |
$1.02061$ |
$3.03044$ |
$[1, 0, 1, -173, -32784]$ |
\(y^2+xy+y=x^3-173x-32784\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 40.2.0.a.1, 120.8.0.?, 1560.16.0.? |
$[]$ |
| 82810.f1 |
82810bo2 |
82810.f |
82810bo |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{6} \cdot 7^{6} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$2.869391561$ |
$1$ |
|
$14$ |
$331776$ |
$1.402800$ |
$10260751717/125000$ |
$1.10093$ |
$3.74609$ |
$[1, 0, 1, -28838, -1867344]$ |
\(y^2+xy+y=x^3-28838x-1867344\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.e.1, 39.12.0.a.1, $\ldots$ |
$[(-90, 12), (-100, 187)]$ |
| 82810.f2 |
82810bo1 |
82810.f |
82810bo |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{3} \cdot 7^{6} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$0.717347890$ |
$1$ |
|
$25$ |
$165888$ |
$1.056225$ |
$16194277/8000$ |
$0.94554$ |
$3.17640$ |
$[1, 0, 1, -3358, 28368]$ |
\(y^2+xy+y=x^3-3358x+28368\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.d.1, 30.36.0.d.1, $\ldots$ |
$[(109, 925), (4, 120)]$ |
| 82810.g1 |
82810x2 |
82810.g |
82810x |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 5^{9} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$32760$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$734832$ |
$1.884930$ |
$-547695899569/15625000$ |
$0.93509$ |
$4.21874$ |
$[1, 0, 1, -168978, -27400852]$ |
\(y^2+xy+y=x^3-168978x-27400852\) |
3.4.0.a.1, 9.12.0.b.1, 39.8.0-3.a.1.2, 40.2.0.a.1, 117.24.0.?, $\ldots$ |
$[]$ |
| 82810.g2 |
82810x1 |
82810.g |
82810x |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 5^{3} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$32760$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$244944$ |
$1.335623$ |
$93757391/64000$ |
$0.88846$ |
$3.44864$ |
$[1, 0, 1, 9382, -147444]$ |
\(y^2+xy+y=x^3+9382x-147444\) |
3.4.0.a.1, 9.12.0.b.1, 39.8.0-3.a.1.1, 40.2.0.a.1, 117.24.0.?, $\ldots$ |
$[]$ |
| 82810.h1 |
82810bl2 |
82810.h |
82810bl |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{5} \cdot 5^{4} \cdot 7^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$0.604661614$ |
$1$ |
|
$8$ |
$737280$ |
$1.681850$ |
$544737993463/20000$ |
$1.00483$ |
$4.26084$ |
$[1, 0, 1, -201283, 34740318]$ |
\(y^2+xy+y=x^3-201283x+34740318\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(274, 285)]$ |
| 82810.h2 |
82810bl1 |
82810.h |
82810bl |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1.209323229$ |
$1$ |
|
$7$ |
$368640$ |
$1.335278$ |
$-115501303/25600$ |
$0.94412$ |
$3.54251$ |
$[1, 0, 1, -12003, 594206]$ |
\(y^2+xy+y=x^3-12003x+594206\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(95, 512)]$ |
| 82810.i1 |
82810i2 |
82810.i |
82810i |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{6} \cdot 5^{3} \cdot 7^{15} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2730$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1492992$ |
$2.291222$ |
$-34440478374289/322828856000$ |
$0.98724$ |
$4.48773$ |
$[1, 1, 0, -183628, 125523728]$ |
\(y^2+xy=x^3+x^2-183628x+125523728\) |
3.4.0.a.1, 70.2.0.a.1, 210.8.0.?, 273.8.0.?, 390.8.0.?, $\ldots$ |
$[]$ |
| 82810.i2 |
82810i1 |
82810.i |
82810i |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{18} \cdot 5 \cdot 7^{9} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2730$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$497664$ |
$1.741917$ |
$45924354671/449576960$ |
$0.94738$ |
$3.89631$ |
$[1, 1, 0, 20212, -4403888]$ |
\(y^2+xy=x^3+x^2+20212x-4403888\) |
3.4.0.a.1, 70.2.0.a.1, 210.8.0.?, 273.8.0.?, 390.8.0.?, $\ldots$ |
$[]$ |
| 82810.j1 |
82810j1 |
82810.j |
82810j |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{11} \cdot 5^{4} \cdot 7^{3} \cdot 13^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1.649125886$ |
$1$ |
|
$12$ |
$1419264$ |
$2.315536$ |
$-21818208730807/2812160000$ |
$0.94731$ |
$4.60446$ |
$[1, 1, 0, -688678, 242954132]$ |
\(y^2+xy=x^3+x^2-688678x+242954132\) |
728.2.0.? |
$[(629, 7375), (811, 14382)]$ |
| 82810.k1 |
82810bh1 |
82810.k |
82810bh |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2 \cdot 5^{8} \cdot 7^{9} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$0.442654299$ |
$1$ |
|
$6$ |
$7827456$ |
$3.053642$ |
$-27279055902727/10156250$ |
$0.94552$ |
$5.63749$ |
$[1, 1, 0, -36353762, 84378900754]$ |
\(y^2+xy=x^3+x^2-36353762x+84378900754\) |
728.2.0.? |
$[(9183, 719996)]$ |
| 82810.l1 |
82810be2 |
82810.l |
82810be |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{2} \cdot 13^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5460$ |
$16$ |
$0$ |
$5.400239565$ |
$1$ |
|
$2$ |
$6386688$ |
$3.094086$ |
$-1033202467754104941601/6178315520$ |
$1.01683$ |
$5.97551$ |
$[1, 1, 0, -130248472, 572092003904]$ |
\(y^2+xy=x^3+x^2-130248472x+572092003904\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 273.8.0.?, 5460.16.0.? |
$[(15904, 1580648)]$ |
| 82810.l2 |
82810be1 |
82810.l |
82810be |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{24} \cdot 5^{3} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5460$ |
$16$ |
$0$ |
$1.800079855$ |
$1$ |
|
$4$ |
$2128896$ |
$2.544781$ |
$-1701366814932001/354418688000$ |
$0.96549$ |
$4.82671$ |
$[1, 1, 0, -1538072, 855563584]$ |
\(y^2+xy=x^3+x^2-1538072x+855563584\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 273.8.0.?, 5460.16.0.? |
$[(14448, 1723336)]$ |
| 82810.m1 |
82810bg2 |
82810.m |
82810bg |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{6} \cdot 5^{3} \cdot 7^{7} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$0.298327553$ |
$1$ |
|
$8$ |
$663552$ |
$1.792259$ |
$-802767616729/56000$ |
$1.08212$ |
$4.35759$ |
$[1, 1, 0, -290007, 59994901]$ |
\(y^2+xy=x^3+x^2-290007x+59994901\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 30.8.0-3.a.1.2, 70.2.0.a.1, 210.16.0.? |
$[(342, 809)]$ |
| 82810.m2 |
82810bg1 |
82810.m |
82810bg |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 5 \cdot 7^{9} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$0.894982661$ |
$1$ |
|
$4$ |
$221184$ |
$1.242954$ |
$-169/6860$ |
$1.01445$ |
$3.37535$ |
$[1, 1, 0, -172, 230924]$ |
\(y^2+xy=x^3+x^2-172x+230924\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 30.8.0-3.a.1.1, 70.2.0.a.1, 210.16.0.? |
$[(-50, 368)]$ |
| 82810.n1 |
82810bf1 |
82810.n |
82810bf |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 5^{3} \cdot 7^{7} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$33.36841553$ |
$1$ |
|
$0$ |
$129392640$ |
$4.474335$ |
$-644487634439863642624729/896000$ |
$1.03944$ |
$7.68416$ |
$[1, 1, 0, -82390153472, -9102542581769216]$ |
\(y^2+xy=x^3+x^2-82390153472x-9102542581769216\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 30.8.0-3.a.1.1, 70.2.0.a.1, 210.16.0.? |
$[(39714004957200992/336073, 2782995726711322570503072/336073)]$ |
| 82810.n2 |
82810bf2 |
82810.n |
82810bf |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{30} \cdot 5^{9} \cdot 7^{9} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$11.12280517$ |
$1$ |
|
$0$ |
$388177920$ |
$5.023636$ |
$-643969879566315506524489/719323136000000000$ |
$1.03945$ |
$7.68426$ |
$[1, 1, 0, -82368084607, -9107662613459899]$ |
\(y^2+xy=x^3+x^2-82368084607x-9107662613459899\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 30.8.0-3.a.1.2, 70.2.0.a.1, 210.16.0.? |
$[(4047892798/53, 251872608831253/53)]$ |
| 82810.o1 |
82810bi1 |
82810.o |
82810bi |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 5 \cdot 7^{10} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$16.22974073$ |
$1$ |
|
$0$ |
$2935296$ |
$2.510471$ |
$-1182740881/13520$ |
$0.98632$ |
$4.92388$ |
$[1, 1, 0, -2443067, -1485239699]$ |
\(y^2+xy=x^3+x^2-2443067x-1485239699\) |
20.2.0.a.1 |
$[(285623266/75, 4814178998339/75)]$ |
| 82810.p1 |
82810bn1 |
82810.p |
82810bn |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 5^{4} \cdot 7^{7} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5031936$ |
$2.681419$ |
$86938307/560000$ |
$0.89875$ |
$4.88827$ |
$[1, 1, 0, 993548, 1213662416]$ |
\(y^2+xy=x^3+x^2+993548x+1213662416\) |
728.2.0.? |
$[]$ |
| 82810.q1 |
82810e4 |
82810.q |
82810e |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1474560$ |
$2.294418$ |
$2121328796049/120050$ |
$1.01959$ |
$4.89639$ |
$[1, -1, 0, -2216720, 1270815846]$ |
\(y^2+xy=x^3-x^2-2216720x+1270815846\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 82810.q2 |
82810e3 |
82810.q |
82810e |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2 \cdot 5^{8} \cdot 7^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1474560$ |
$2.294418$ |
$74565301329/5468750$ |
$0.99962$ |
$4.60073$ |
$[1, -1, 0, -726140, -222380950]$ |
\(y^2+xy=x^3-x^2-726140x-222380950\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 52.12.0-4.c.1.1, 56.24.0.bp.1, $\ldots$ |
$[]$ |
| 82810.q3 |
82810e2 |
82810.q |
82810e |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{4} \cdot 7^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$737280$ |
$1.947844$ |
$611960049/122500$ |
$1.02632$ |
$4.17662$ |
$[1, -1, 0, -146470, 17486496]$ |
\(y^2+xy=x^3-x^2-146470x+17486496\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 52.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ |
$[]$ |
| 82810.q4 |
82810e1 |
82810.q |
82810e |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.601271$ |
$1367631/2800$ |
$1.00023$ |
$3.71988$ |
$[1, -1, 0, 19150, 1620100]$ |
\(y^2+xy=x^3-x^2+19150x+1620100\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 82810.r1 |
82810t1 |
82810.r |
82810t |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 5 \cdot 7^{8} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$3.018326614$ |
$1$ |
|
$3$ |
$1437696$ |
$2.206547$ |
$9663597/980$ |
$0.82280$ |
$4.48980$ |
$[1, -1, 0, -477710, 115533536]$ |
\(y^2+xy=x^3-x^2-477710x+115533536\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(520, 2484)]$ |
| 82810.r2 |
82810t2 |
82810.r |
82810t |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2 \cdot 5^{2} \cdot 7^{10} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$6.036653229$ |
$1$ |
|
$0$ |
$2875392$ |
$2.553120$ |
$19034163/120050$ |
$0.97561$ |
$4.75209$ |
$[1, -1, 0, 598820, 561001650]$ |
\(y^2+xy=x^3-x^2+598820x+561001650\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(41575/2, 8460815/2)]$ |
| 82810.s1 |
82810c1 |
82810.s |
82810c |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{17} \cdot 5^{9} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1035504$ |
$2.047222$ |
$219083319/256000000000$ |
$1.30457$ |
$4.22761$ |
$[1, -1, 0, 1405, -28798379]$ |
\(y^2+xy=x^3-x^2+1405x-28798379\) |
40.2.0.a.1 |
$[]$ |
| 82810.t1 |
82810d2 |
82810.t |
82810d |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2 \cdot 5^{7} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$105840$ |
$0.951352$ |
$-33669235266849/156250$ |
$0.99576$ |
$3.54718$ |
$[1, -1, 0, -13610, 614550]$ |
\(y^2+xy=x^3-x^2-13610x+614550\) |
7.8.0.a.1, 40.2.0.a.1, 91.48.0.?, 280.16.0.?, 3640.96.2.? |
$[]$ |
| 82810.t2 |
82810d1 |
82810.t |
82810d |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$15120$ |
$-0.021602$ |
$842751/640$ |
$0.97825$ |
$2.00155$ |
$[1, -1, 0, 40, -64]$ |
\(y^2+xy=x^3-x^2+40x-64\) |
7.8.0.a.1, 40.2.0.a.1, 91.48.0.?, 280.16.0.?, 3640.96.2.? |
$[]$ |
| 82810.u1 |
82810u2 |
82810.u |
82810u |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{14} \cdot 7^{7} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$2.833035393$ |
$1$ |
|
$2$ |
$3096576$ |
$2.575241$ |
$1218083778723573/683593750000$ |
$1.20291$ |
$4.77790$ |
$[1, -1, 0, -1417285, -112578075]$ |
\(y^2+xy=x^3-x^2-1417285x-112578075\) |
2.3.0.a.1, 140.6.0.?, 260.6.0.?, 364.6.0.?, 1820.12.0.? |
$[(-614, 23239)]$ |
| 82810.u2 |
82810u1 |
82810.u |
82810u |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{7} \cdot 7^{8} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$5.666070787$ |
$1$ |
|
$1$ |
$1548288$ |
$2.228668$ |
$510408052788213/980000000$ |
$1.12559$ |
$4.70109$ |
$[1, -1, 0, -1060565, -419428619]$ |
\(y^2+xy=x^3-x^2-1060565x-419428619\) |
2.3.0.a.1, 130.6.0.?, 140.6.0.?, 364.6.0.?, 1820.12.0.? |
$[(4915/2, 86813/2)]$ |
| 82810.v1 |
82810f1 |
82810.v |
82810f |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{22} \cdot 5 \cdot 7^{8} \cdot 13^{11} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$42577920$ |
$3.793484$ |
$4307585705106105969/381542350192640$ |
$1.01074$ |
$6.17893$ |
$[1, -1, 0, -280706750, -1665851375980]$ |
\(y^2+xy=x^3-x^2-280706750x-1665851375980\) |
2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.? |
$[]$ |
| 82810.v2 |
82810f2 |
82810.v |
82810f |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{11} \cdot 5^{2} \cdot 7^{7} \cdot 13^{16} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$85155840$ |
$4.140053$ |
$5964709808210123151/49408483478681600$ |
$1.10238$ |
$6.43628$ |
$[1, -1, 0, 312875330, -7772505098604]$ |
\(y^2+xy=x^3-x^2+312875330x-7772505098604\) |
2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.? |
$[]$ |
| 82810.w1 |
82810bb4 |
82810.w |
82810bb |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 5 \cdot 7^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$7280$ |
$192$ |
$3$ |
$1.329970356$ |
$1$ |
|
$2$ |
$2064384$ |
$2.451218$ |
$294889639316481/260$ |
$1.02336$ |
$5.33214$ |
$[1, -1, 0, -11483159, 14980400553]$ |
\(y^2+xy=x^3-x^2-11483159x+14980400553\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 130.6.0.?, $\ldots$ |
$[(1388, 40711)]$ |
| 82810.w2 |
82810bb2 |
82810.w |
82810bb |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$3640$ |
$192$ |
$3$ |
$2.659940712$ |
$1$ |
|
$6$ |
$1032192$ |
$2.104645$ |
$72043225281/67600$ |
$1.01871$ |
$4.59769$ |
$[1, -1, 0, -717859, 234092613]$ |
\(y^2+xy=x^3-x^2-717859x+234092613\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 140.24.0.?, 260.24.0.?, $\ldots$ |
$[(282, 7209)]$ |
| 82810.w3 |
82810bb3 |
82810.w |
82810bb |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 5^{4} \cdot 7^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$7280$ |
$192$ |
$3$ |
$1.329970356$ |
$1$ |
|
$6$ |
$2064384$ |
$2.451218$ |
$-32798729601/71402500$ |
$1.04885$ |
$4.66602$ |
$[1, -1, 0, -552239, 344826145]$ |
\(y^2+xy=x^3-x^2-552239x+344826145\) |
2.3.0.a.1, 4.24.0.c.1, 280.48.0.?, 364.48.0.?, 520.48.1.?, $\ldots$ |
$[(-159, 20782)]$ |
| 82810.w4 |
82810bb1 |
82810.w |
82810bb |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5 \cdot 7^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$7280$ |
$192$ |
$3$ |
$1.329970356$ |
$1$ |
|
$3$ |
$516096$ |
$1.758070$ |
$33076161/16640$ |
$0.93564$ |
$3.91896$ |
$[1, -1, 0, -55379, 1827125]$ |
\(y^2+xy=x^3-x^2-55379x+1827125\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 130.6.0.?, $\ldots$ |
$[(569, 12137)]$ |
| 82810.x1 |
82810v1 |
82810.x |
82810v |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{17} \cdot 5^{9} \cdot 7^{8} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7248528$ |
$3.020176$ |
$219083319/256000000000$ |
$1.30457$ |
$5.25862$ |
$[1, -1, 0, 68836, 9877706320]$ |
\(y^2+xy=x^3-x^2+68836x+9877706320\) |
40.2.0.a.1 |
$[]$ |
| 82810.y1 |
82810w2 |
82810.y |
82810w |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2 \cdot 5^{7} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$740880$ |
$1.924307$ |
$-33669235266849/156250$ |
$0.99576$ |
$4.57819$ |
$[1, -1, 0, -666899, -209456857]$ |
\(y^2+xy=x^3-x^2-666899x-209456857\) |
7.8.0.a.1, 40.2.0.a.1, 91.48.0.?, 280.16.0.?, 3640.96.2.? |
$[]$ |
| 82810.y2 |
82810w1 |
82810.y |
82810w |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 5 \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$105840$ |
$0.951352$ |
$842751/640$ |
$0.97825$ |
$3.03256$ |
$[1, -1, 0, 1951, 18045]$ |
\(y^2+xy=x^3-x^2+1951x+18045\) |
7.8.0.a.1, 40.2.0.a.1, 91.48.0.?, 280.16.0.?, 3640.96.2.? |
$[]$ |
| 82810.z1 |
82810bc2 |
82810.z |
82810bc |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{35} \cdot 5 \cdot 7^{6} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$115.9457428$ |
$1$ |
|
$0$ |
$50450400$ |
$4.007217$ |
$-1762712152495281/171798691840$ |
$1.13774$ |
$6.40977$ |
$[1, -1, 0, -637029899, 6689549044933]$ |
\(y^2+xy=x^3-x^2-637029899x+6689549044933\) |
7.8.0.a.1, 40.2.0.a.1, 91.48.0.?, 280.16.0.?, 3640.96.2.? |
$[(214524432060130771517528128165376383856930722863441/69755782516559031185417, 2714184822593193430471372582684413210993624532005983605158887861539537292225/69755782516559031185417)]$ |
| 82810.z2 |
82810bc1 |
82810.z |
82810bc |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 5^{7} \cdot 7^{6} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$16.56367754$ |
$1$ |
|
$0$ |
$7207200$ |
$3.034260$ |
$-2609064081/2500000$ |
$1.05128$ |
$5.29692$ |
$[1, -1, 0, -7259849, -12267898707]$ |
\(y^2+xy=x^3-x^2-7259849x-12267898707\) |
7.8.0.a.1, 40.2.0.a.1, 91.48.0.?, 280.16.0.?, 3640.96.2.? |
$[(14997029/19, 57807231180/19)]$ |
