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 |
372232.a1 |
372232a1 |
372232.a |
372232a |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{8} \cdot 17^{6} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.414111121$ |
$1$ |
|
$20$ |
$13934592$ |
$2.527340$ |
$-4124632486295808/70140333767$ |
$1.00005$ |
$4.34672$ |
$[0, 0, 0, -2433091, 1482089971]$ |
\(y^2=x^3-2433091x+1482089971\) |
46.2.0.a.1 |
$[(1021, 7889), (629, 14161)]$ |
372232.b1 |
372232b1 |
372232.b |
372232b |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{10} \cdot 7 \cdot 17^{8} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5640192$ |
$2.047409$ |
$2249178948/3703$ |
$0.79656$ |
$3.98612$ |
$[0, 0, 0, -525691, -146495834]$ |
\(y^2=x^3-525691x-146495834\) |
28.2.0.a.1 |
$[]$ |
372232.c1 |
372232c2 |
372232.c |
372232c |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{10} \cdot 7^{6} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4730880$ |
$1.922739$ |
$5756278756/2705927$ |
$0.89317$ |
$3.61763$ |
$[0, 1, 0, -108760, -6017376]$ |
\(y^2=x^3+x^2-108760x-6017376\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
372232.c2 |
372232c1 |
372232.c |
372232c |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 2^{8} \cdot 7^{3} \cdot 17^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2365440$ |
$1.576166$ |
$253012016/181447$ |
$0.84073$ |
$3.26596$ |
$[0, 1, 0, 24180, -699776]$ |
\(y^2=x^3+x^2+24180x-699776\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[]$ |
372232.d1 |
372232d2 |
372232.d |
372232d |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{11} \cdot 7^{6} \cdot 17^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4915200$ |
$2.299969$ |
$1030541881826/62236321$ |
$0.92068$ |
$4.07608$ |
$[0, 1, 0, -772304, 246970912]$ |
\(y^2=x^3+x^2-772304x+246970912\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[]$ |
372232.d2 |
372232d1 |
372232.d |
372232d |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{10} \cdot 7^{3} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2457600$ |
$1.953396$ |
$1969910093092/7889$ |
$0.91859$ |
$4.07255$ |
$[0, 1, 0, -760744, 255136896]$ |
\(y^2=x^3+x^2-760744x+255136896\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[]$ |
372232.e1 |
372232e2 |
372232.e |
372232e |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{10} \cdot 7^{2} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1658880$ |
$1.619852$ |
$12576878500/1127$ |
$0.87137$ |
$3.67856$ |
$[0, 1, 0, -141128, 20357920]$ |
\(y^2=x^3+x^2-141128x+20357920\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
372232.e2 |
372232e1 |
372232.e |
372232e |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 2^{8} \cdot 7 \cdot 17^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$1.273277$ |
$-9826000/3703$ |
$0.75859$ |
$3.05182$ |
$[0, 1, 0, -8188, 363744]$ |
\(y^2=x^3+x^2-8188x+363744\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[]$ |
372232.f1 |
372232f1 |
372232.f |
372232f |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{10} \cdot 7^{3} \cdot 17^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13160448$ |
$2.735916$ |
$8310549892/181447$ |
$0.83555$ |
$4.52975$ |
$[0, -1, 0, -5373184, 4704462620]$ |
\(y^2=x^3-x^2-5373184x+4704462620\) |
28.2.0.a.1 |
$[]$ |
372232.g1 |
372232g1 |
372232.g |
372232g |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{2} \cdot 17^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.885902716$ |
$1$ |
|
$4$ |
$497664$ |
$1.065695$ |
$-157216000/1127$ |
$0.78840$ |
$3.01368$ |
$[0, -1, 0, -8188, 289685]$ |
\(y^2=x^3-x^2-8188x+289685\) |
46.2.0.a.1 |
$[(74, 289)]$ |
372232.h1 |
372232h2 |
372232.h |
372232h |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{11} \cdot 7^{2} \cdot 17^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$9.028595470$ |
$1$ |
|
$1$ |
$1261568$ |
$1.752546$ |
$50668941906/1127$ |
$1.02051$ |
$3.84123$ |
$[0, 0, 0, -282931, 57924270]$ |
\(y^2=x^3-282931x+57924270\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(18358/7, 728538/7)]$ |
372232.h2 |
372232h1 |
372232.h |
372232h |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7 \cdot 17^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$4.514297735$ |
$1$ |
|
$3$ |
$630784$ |
$1.405973$ |
$-22180932/3703$ |
$0.93538$ |
$3.20403$ |
$[0, 0, 0, -17051, 972774]$ |
\(y^2=x^3-17051x+972774\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(239, 3248)]$ |
372232.i1 |
372232i1 |
372232.i |
372232i |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{8} \cdot 7 \cdot 17^{12} \cdot 23^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10948$ |
$12$ |
$0$ |
$10.52060336$ |
$1$ |
|
$9$ |
$16920576$ |
$2.936283$ |
$4499683752694608/2055772614161$ |
$1.03495$ |
$4.56740$ |
$[0, 0, 0, -6311471, 2800262610]$ |
\(y^2=x^3-6311471x+2800262610\) |
2.3.0.a.1, 68.6.0.b.1, 322.6.0.?, 10948.12.0.? |
$[(-1207, 93058), (2381, 35650)]$ |
372232.i2 |
372232i2 |
372232.i |
372232i |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{2} \cdot 17^{9} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10948$ |
$12$ |
$0$ |
$10.52060336$ |
$1$ |
|
$5$ |
$33841152$ |
$3.282856$ |
$48201649945177788/35637715810193$ |
$1.05414$ |
$4.86034$ |
$[0, 0, 0, 22085669, 21048264774]$ |
\(y^2=x^3+22085669x+21048264774\) |
2.3.0.a.1, 68.6.0.a.1, 644.6.0.?, 10948.12.0.? |
$[(459, 176868), (6971, 716772)]$ |
372232.j1 |
372232j3 |
372232.j |
372232j |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{11} \cdot 7^{2} \cdot 17^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$3128$ |
$48$ |
$0$ |
$33.95921683$ |
$1$ |
|
$1$ |
$37158912$ |
$3.091705$ |
$29497074709207581954/19159$ |
$1.02371$ |
$5.41461$ |
$[0, 0, 0, -236243339, 1397614738662]$ |
\(y^2=x^3-236243339x+1397614738662\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 92.12.0.?, 136.24.0.?, $\ldots$ |
$[(1121310756306346/279423, 21452774342081755993840/279423)]$ |
372232.j2 |
372232j4 |
372232.j |
372232j |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{11} \cdot 7^{2} \cdot 17^{10} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$3128$ |
$48$ |
$0$ |
$8.489804208$ |
$1$ |
|
$1$ |
$37158912$ |
$3.091705$ |
$8062588297349154/1145257407889$ |
$0.92943$ |
$4.77498$ |
$[0, 0, 0, -15331739, 20071403158]$ |
\(y^2=x^3-15331739x+20071403158\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 68.12.0-4.c.1.1, 136.24.0.?, $\ldots$ |
$[(200481/8, 27009073/8)]$ |
372232.j3 |
372232j2 |
372232.j |
372232j |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{10} \cdot 7^{4} \cdot 17^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$3128$ |
$48$ |
$0$ |
$16.97960841$ |
$1$ |
|
$3$ |
$18579456$ |
$2.745132$ |
$14403132800629668/367067281$ |
$0.98664$ |
$4.76617$ |
$[0, 0, 0, -14765299, 21837449790]$ |
\(y^2=x^3-14765299x+21837449790\) |
2.6.0.a.1, 8.12.0.a.1, 68.12.0-2.a.1.1, 92.12.0.?, 136.24.0.?, $\ldots$ |
$[(72391635/79, 585702299520/79)]$ |
372232.j4 |
372232j1 |
372232.j |
372232j |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 2^{8} \cdot 7^{8} \cdot 17^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$3128$ |
$48$ |
$0$ |
$8.489804208$ |
$1$ |
|
$3$ |
$9289728$ |
$2.398560$ |
$-12511898025552/2254037191$ |
$0.86175$ |
$4.12973$ |
$[0, 0, 0, -887519, 368524130]$ |
\(y^2=x^3-887519x+368524130\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 68.12.0-4.c.1.2, 92.12.0.?, $\ldots$ |
$[(11377, 1209490)]$ |
372232.k1 |
372232k1 |
372232.k |
372232k |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{10} \cdot 7^{3} \cdot 17^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$0.437232435$ |
$1$ |
|
$4$ |
$774144$ |
$1.319309$ |
$8310549892/181447$ |
$0.83555$ |
$3.20451$ |
$[0, 1, 0, -18592, 950992]$ |
\(y^2=x^3+x^2-18592x+950992\) |
28.2.0.a.1 |
$[(504, 10948)]$ |
372232.l1 |
372232l1 |
372232.l |
372232l |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{2} \cdot 17^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1511424$ |
$1.405222$ |
$-453519616/325703$ |
$0.81299$ |
$3.15822$ |
$[0, 1, 0, -11656, 721237]$ |
\(y^2=x^3+x^2-11656x+721237\) |
46.2.0.a.1 |
$[]$ |
372232.m1 |
372232m2 |
372232.m |
372232m |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{11} \cdot 7^{10} \cdot 17^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$24.38079506$ |
$1$ |
|
$1$ |
$17694720$ |
$2.886120$ |
$263822189935250/149429406721$ |
$1.01471$ |
$4.50838$ |
$[0, -1, 0, -4903848, 611043500]$ |
\(y^2=x^3-x^2-4903848x+611043500\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(3045733388513/11024, 5294629399582941777/11024)]$ |
372232.m2 |
372232m1 |
372232.m |
372232m |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{5} \cdot 17^{6} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$48.76159012$ |
$1$ |
|
$1$ |
$8847360$ |
$2.539547$ |
$7953970437500/4703287687$ |
$1.05161$ |
$4.18136$ |
$[0, -1, 0, 1211392, 75348476]$ |
\(y^2=x^3-x^2+1211392x+75348476\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(472597524480378630850/1886575423, 103702446996090316864490946187008/1886575423)]$ |
372232.n1 |
372232n2 |
372232.n |
372232n |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{11} \cdot 7^{2} \cdot 17^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7962624$ |
$2.421886$ |
$102567945961154/7491169$ |
$0.87658$ |
$4.43473$ |
$[0, -1, 0, -3579072, -2604819028]$ |
\(y^2=x^3-x^2-3579072x-2604819028\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[]$ |
372232.n2 |
372232n1 |
372232.n |
372232n |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{10} \cdot 7 \cdot 17^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3981312$ |
$2.075314$ |
$60496791268/13446881$ |
$0.80834$ |
$3.80101$ |
$[0, -1, 0, -238232, -35044900]$ |
\(y^2=x^3-x^2-238232x-35044900\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[]$ |
372232.o1 |
372232o1 |
372232.o |
372232o |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{18} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$126904320$ |
$3.506931$ |
$100718081964000000/37453512751940327$ |
$1.16350$ |
$5.09749$ |
$[0, 0, 0, 7058825, -182840739013]$ |
\(y^2=x^3+7058825x-182840739013\) |
46.2.0.a.1 |
$[]$ |
372232.p1 |
372232p1 |
372232.p |
372232p |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( 2^{10} \cdot 7 \cdot 17^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$6.837547920$ |
$1$ |
|
$0$ |
$331776$ |
$0.630801$ |
$2249178948/3703$ |
$0.79656$ |
$2.66087$ |
$[0, 0, 0, -1819, -29818]$ |
\(y^2=x^3-1819x-29818\) |
28.2.0.a.1 |
$[(10651/9, 1032148/9)]$ |
372232.q1 |
372232q1 |
372232.q |
372232q |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{2} \cdot 17^{6} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$9.364807472$ |
$1$ |
|
$0$ |
$3483648$ |
$1.445309$ |
$1029037824/596183$ |
$1.06789$ |
$3.15919$ |
$[0, 0, 0, 15317, -24565]$ |
\(y^2=x^3+15317x-24565\) |
46.2.0.a.1 |
$[(479230/27, 337567895/27)]$ |