| 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 |
| 2366.f2 |
2366d1 |
2366.f |
2366d |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 7 \cdot 13^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$2$ |
$1872$ |
$0.617729$ |
$17303/14$ |
$0.76938$ |
$3.89734$ |
$[1, 0, 1, 503, -2702]$ |
\(y^2+xy+y=x^3+503x-2702\) |
3.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 2366.n2 |
2366i1 |
2366.n |
2366i |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 7 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$144$ |
$-0.664745$ |
$17303/14$ |
$0.76938$ |
$1.91641$ |
$[1, 0, 0, 3, -1]$ |
\(y^2+xy=x^3+3x-1\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 56.2.0.b.1, 168.8.0.?, 2184.16.0.? |
$[]$ |
| 16562.f2 |
16562m1 |
16562.f |
16562m |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2 \cdot 7^{7} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$89856$ |
$1.590685$ |
$17303/14$ |
$0.76938$ |
$4.31850$ |
$[1, 1, 0, 24671, 951371]$ |
\(y^2+xy=x^3+x^2+24671x+951371\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 24.8.0-3.a.1.6, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 16562.bi2 |
16562bk1 |
16562.bi |
16562bk |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2 \cdot 7^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1.616444006$ |
$1$ |
|
$0$ |
$6912$ |
$0.308209$ |
$17303/14$ |
$0.76938$ |
$2.73437$ |
$[1, 1, 1, 146, 489]$ |
\(y^2+xy+y=x^3+x^2+146x+489\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 273.8.0.?, 312.8.0.?, $\ldots$ |
$[(3/2, 189/2)]$ |
| 18928.j2 |
18928y1 |
18928.j |
18928y |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$0.495505212$ |
$1$ |
|
$4$ |
$3456$ |
$0.028402$ |
$17303/14$ |
$0.76938$ |
$2.35635$ |
$[0, -1, 0, 48, 64]$ |
\(y^2=x^3-x^2+48x+64\) |
3.4.0.a.1, 56.2.0.b.1, 156.8.0.?, 168.8.0.?, 2184.16.0.? |
$[(0, 8)]$ |
| 18928.l2 |
18928m1 |
18928.l |
18928m |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$44928$ |
$1.310877$ |
$17303/14$ |
$0.76938$ |
$3.91901$ |
$[0, -1, 0, 8056, 172912]$ |
\(y^2=x^3-x^2+8056x+172912\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 21294.bf2 |
21294s1 |
21294.bf |
21294s |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{6} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4320$ |
$-0.115439$ |
$17303/14$ |
$0.76938$ |
$2.15531$ |
$[1, -1, 0, 27, 27]$ |
\(y^2+xy=x^3-x^2+27x+27\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 56.2.0.b.1, 168.8.0.?, 2184.16.0.? |
$[]$ |
| 21294.br2 |
21294cr1 |
21294.br |
21294cr |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{6} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$56160$ |
$1.167036$ |
$17303/14$ |
$0.76938$ |
$3.69950$ |
$[1, -1, 1, 4531, 72947]$ |
\(y^2+xy+y=x^3-x^2+4531x+72947\) |
3.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 59150.k2 |
59150k1 |
59150.k |
59150k |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 5^{6} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10920$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15552$ |
$0.139973$ |
$17303/14$ |
$0.76938$ |
$2.23385$ |
$[1, 1, 0, 75, -125]$ |
\(y^2+xy=x^3+x^2+75x-125\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 195.8.0.?, 10920.16.0.? |
$[]$ |
| 59150.bh2 |
59150bi1 |
59150.bh |
59150bi |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 5^{6} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$202176$ |
$1.422447$ |
$17303/14$ |
$0.76938$ |
$3.63446$ |
$[1, 1, 1, 12587, -337719]$ |
\(y^2+xy+y=x^3+x^2+12587x-337719\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 56.2.0.b.1, 168.8.0.?, 840.16.0.? |
$[]$ |
| 75712.t2 |
75712bd1 |
75712.t |
75712bd |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{19} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$359424$ |
$1.657450$ |
$17303/14$ |
$0.76938$ |
$3.80561$ |
$[0, -1, 0, 32223, -1415519]$ |
\(y^2=x^3-x^2+32223x-1415519\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 42.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 75712.bb2 |
75712g1 |
75712.bb |
75712g |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{19} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1.773722575$ |
$1$ |
|
$2$ |
$27648$ |
$0.374975$ |
$17303/14$ |
$0.76938$ |
$2.43578$ |
$[0, -1, 0, 191, -703]$ |
\(y^2=x^3-x^2+191x-703\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 312.8.0.?, 546.8.0.?, $\ldots$ |
$[(49, 352)]$ |
| 75712.cc2 |
75712by1 |
75712.cc |
75712by |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{19} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$359424$ |
$1.657450$ |
$17303/14$ |
$0.76938$ |
$3.80561$ |
$[0, 1, 0, 32223, 1415519]$ |
\(y^2=x^3+x^2+32223x+1415519\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 56.2.0.b.1, 84.8.0.?, 168.16.0.? |
$[]$ |
| 75712.ck2 |
75712cp1 |
75712.ck |
75712cp |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{19} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$2.524403185$ |
$1$ |
|
$2$ |
$27648$ |
$0.374975$ |
$17303/14$ |
$0.76938$ |
$2.43578$ |
$[0, 1, 0, 191, 703]$ |
\(y^2=x^3+x^2+191x+703\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 312.8.0.?, 1092.8.0.?, $\ldots$ |
$[(111, 1184)]$ |
| 132496.cn2 |
132496ca1 |
132496.cn |
132496ca |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{13} \cdot 7^{7} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$3.944172972$ |
$1$ |
|
$2$ |
$2156544$ |
$2.283833$ |
$17303/14$ |
$0.76938$ |
$4.26235$ |
$[0, 1, 0, 394728, -60098284]$ |
\(y^2=x^3+x^2+394728x-60098284\) |
3.4.0.a.1, 24.8.0-3.a.1.8, 56.2.0.b.1, 84.8.0.?, 168.16.0.? |
$[(772, 26558)]$ |
| 132496.df2 |
132496cm1 |
132496.df |
132496cm |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{13} \cdot 7^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$2.688756315$ |
$1$ |
|
$0$ |
$165888$ |
$1.001356$ |
$17303/14$ |
$0.76938$ |
$2.95751$ |
$[0, 1, 0, 2336, -26636]$ |
\(y^2=x^3+x^2+2336x-26636\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 312.8.0.?, 1092.8.0.?, $\ldots$ |
$[(130/3, 2744/3)]$ |
| 149058.n2 |
149058eq1 |
149058.n |
149058eq |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{6} \cdot 7^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1.238417337$ |
$1$ |
|
$4$ |
$207360$ |
$0.857515$ |
$17303/14$ |
$0.76938$ |
$2.78336$ |
$[1, -1, 0, 1314, -11894]$ |
\(y^2+xy=x^3-x^2+1314x-11894\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 273.8.0.?, 312.8.0.?, $\ldots$ |
$[(9, 20)]$ |
| 149058.ib2 |
149058ch1 |
149058.ib |
149058ch |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{6} \cdot 7^{7} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$2695680$ |
$2.139992$ |
$17303/14$ |
$0.76938$ |
$4.07530$ |
$[1, -1, 1, 222034, -25464981]$ |
\(y^2+xy+y=x^3-x^2+222034x-25464981\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 24.8.0-3.a.1.5, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 170352.m2 |
170352l1 |
170352.m |
170352l |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 7 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1.919659005$ |
$1$ |
|
$2$ |
$1347840$ |
$1.860182$ |
$17303/14$ |
$0.76938$ |
$3.75138$ |
$[0, 0, 0, 72501, -4741126]$ |
\(y^2=x^3+72501x-4741126\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[(845, 25688)]$ |
| 170352.fz2 |
170352cp1 |
170352.fz |
170352cp |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$0.577708$ |
$17303/14$ |
$0.76938$ |
$2.47376$ |
$[0, 0, 0, 429, -2158]$ |
\(y^2=x^3+429x-2158\) |
3.4.0.a.1, 56.2.0.b.1, 156.8.0.?, 168.8.0.?, 2184.16.0.? |
$[]$ |
| 286286.ba2 |
286286ba1 |
286286.ba |
286286ba |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 11^{2} \cdot 13^{2} \) |
\( - 2 \cdot 7 \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24024$ |
$16$ |
$0$ |
$1.785274080$ |
$1$ |
|
$2$ |
$207360$ |
$0.534203$ |
$17303/14$ |
$0.76938$ |
$2.33000$ |
$[1, 0, 1, 360, 1692]$ |
\(y^2+xy+y=x^3+360x+1692\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 429.8.0.?, 24024.16.0.? |
$[(54, 396)]$ |
| 286286.cp2 |
286286cp1 |
286286.cp |
286286cp |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 11^{2} \cdot 13^{2} \) |
\( - 2 \cdot 7 \cdot 11^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$35.23872613$ |
$1$ |
|
$0$ |
$2695680$ |
$1.816677$ |
$17303/14$ |
$0.76938$ |
$3.55484$ |
$[1, 0, 0, 60921, 3656951]$ |
\(y^2+xy=x^3+60921x+3656951\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 56.2.0.b.1, 168.8.0.?, 1848.16.0.? |
$[(-1564925529214865/8948894, 1130821766707658690369151/8948894)]$ |
| 414050.cp2 |
414050cp1 |
414050.cp |
414050cp |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2 \cdot 5^{6} \cdot 7^{7} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10920$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$746496$ |
$1.112928$ |
$17303/14$ |
$0.76938$ |
$2.80048$ |
$[1, 0, 1, 3649, 53848]$ |
\(y^2+xy+y=x^3+3649x+53848\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 1365.8.0.?, 1560.8.0.?, $\ldots$ |
$[]$ |
| 414050.gq2 |
414050gq1 |
414050.gq |
414050gq |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2 \cdot 5^{6} \cdot 7^{7} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$10.28095356$ |
$1$ |
|
$0$ |
$9704448$ |
$2.395405$ |
$17303/14$ |
$0.76938$ |
$3.99036$ |
$[1, 0, 0, 616762, 117687842]$ |
\(y^2+xy=x^3+616762x+117687842\) |
3.4.0.a.1, 56.2.0.b.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, $\ldots$ |
$[(86479/18, 100460393/18)]$ |
| 473200.fe2 |
473200fe1 |
473200.fe |
473200fe |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 5^{6} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10920$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$373248$ |
$0.833120$ |
$17303/14$ |
$0.76938$ |
$2.51490$ |
$[0, 1, 0, 1192, 10388]$ |
\(y^2=x^3+x^2+1192x+10388\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 780.8.0.?, 10920.16.0.? |
$[]$ |
| 473200.gc2 |
473200gc1 |
473200.gc |
473200gc |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 5^{6} \cdot 7 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$14.41586881$ |
$1$ |
|
$0$ |
$4852224$ |
$2.115597$ |
$17303/14$ |
$0.76938$ |
$3.69263$ |
$[0, 1, 0, 201392, 22016788]$ |
\(y^2=x^3+x^2+201392x+22016788\) |
3.4.0.a.1, 56.2.0.b.1, 60.8.0-3.a.1.2, 168.8.0.?, 840.16.0.? |
$[(889578/127, 11819572744/127)]$ |
