| 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 |
| 1935.b1 |
1935b2 |
1935.b |
1935b |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43 \) |
\( 3^{3} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1.035719648$ |
$1$ |
|
$4$ |
$256$ |
$-0.107594$ |
$2315685267/9245$ |
$1.00157$ |
$3.28479$ |
$[1, -1, 1, -83, -268]$ |
\(y^2+xy+y=x^3-x^2-83x-268\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-5, 3)]$ |
| 1935.h1 |
1935d2 |
1935.h |
1935d |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43 \) |
\( 3^{9} \cdot 5 \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$0.441712$ |
$2315685267/9245$ |
$1.00157$ |
$4.15579$ |
$[1, -1, 0, -744, 7973]$ |
\(y^2+xy=x^3-x^2-744x+7973\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
| 9675.h1 |
9675e2 |
9675.h |
9675e |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$1.246431$ |
$2315685267/9245$ |
$1.00157$ |
$4.47922$ |
$[1, -1, 1, -18605, 978022]$ |
\(y^2+xy+y=x^3-x^2-18605x+978022\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
| 9675.v1 |
9675b2 |
9675.v |
9675b |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{3} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$0.697125$ |
$2315685267/9245$ |
$1.00157$ |
$3.76096$ |
$[1, -1, 0, -2067, -35534]$ |
\(y^2+xy=x^3-x^2-2067x-35534\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
| 30960.y1 |
30960v2 |
30960.y |
30960v |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1.880268456$ |
$1$ |
|
$5$ |
$16384$ |
$0.585553$ |
$2315685267/9245$ |
$1.00157$ |
$3.20843$ |
$[0, 0, 0, -1323, 18458]$ |
\(y^2=x^3-1323x+18458\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(23, 14)]$ |
| 30960.cc1 |
30960bb2 |
30960.cc |
30960bb |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$49152$ |
$1.134859$ |
$2315685267/9245$ |
$1.00157$ |
$3.84589$ |
$[0, 0, 0, -11907, -498366]$ |
\(y^2=x^3-11907x-498366\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
| 83205.h1 |
83205c2 |
83205.h |
83205c |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{9} \cdot 5 \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1419264$ |
$2.322311$ |
$2315685267/9245$ |
$1.00157$ |
$4.76806$ |
$[1, -1, 1, -1376003, -618774524]$ |
\(y^2+xy+y=x^3-x^2-1376003x-618774524\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
| 83205.v1 |
83205g2 |
83205.v |
83205g |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{3} \cdot 5 \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$10.71647430$ |
$1$ |
|
$0$ |
$473088$ |
$1.773006$ |
$2315685267/9245$ |
$1.00157$ |
$4.18623$ |
$[1, -1, 0, -152889, 22968538]$ |
\(y^2+xy=x^3-x^2-152889x+22968538\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(3358961/8, 6142474987/8)]$ |
| 94815.k1 |
94815f2 |
94815.k |
94815f |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 3^{3} \cdot 5 \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$0.848079157$ |
$1$ |
|
$8$ |
$73728$ |
$0.865361$ |
$2315685267/9245$ |
$1.00157$ |
$3.18807$ |
$[1, -1, 1, -4052, 99936]$ |
\(y^2+xy+y=x^3-x^2-4052x+99936\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(44, 51)]$ |
| 94815.bg1 |
94815b2 |
94815.bg |
94815b |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 3^{9} \cdot 5 \cdot 7^{6} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$8.957999392$ |
$1$ |
|
$4$ |
$221184$ |
$1.414667$ |
$2315685267/9245$ |
$1.00157$ |
$3.76328$ |
$[1, -1, 0, -36465, -2661814]$ |
\(y^2+xy=x^3-x^2-36465x-2661814\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(310, 3814), (1766, 72862)]$ |
| 123840.h1 |
123840o2 |
123840.h |
123840o |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$3.811342016$ |
$1$ |
|
$13$ |
$393216$ |
$1.481434$ |
$2315685267/9245$ |
$1.00157$ |
$3.74589$ |
$[0, 0, 0, -47628, 3986928]$ |
\(y^2=x^3-47628x+3986928\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(78, 864), (148, 424)]$ |
| 123840.dj1 |
123840dq2 |
123840.dj |
123840dq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$393216$ |
$1.481434$ |
$2315685267/9245$ |
$1.00157$ |
$3.74589$ |
$[0, 0, 0, -47628, -3986928]$ |
\(y^2=x^3-47628x-3986928\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
| 123840.dw1 |
123840bd2 |
123840.dw |
123840bd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$2.414027269$ |
$1$ |
|
$5$ |
$131072$ |
$0.932127$ |
$2315685267/9245$ |
$1.00157$ |
$3.18379$ |
$[0, 0, 0, -5292, -147664]$ |
\(y^2=x^3-5292x-147664\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-40, 4)]$ |
| 123840.gg1 |
123840eb2 |
123840.gg |
123840eb |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$4.227226163$ |
$1$ |
|
$3$ |
$131072$ |
$0.932127$ |
$2315685267/9245$ |
$1.00157$ |
$3.18379$ |
$[0, 0, 0, -5292, 147664]$ |
\(y^2=x^3-5292x+147664\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(144, 1540)]$ |
| 154800.m1 |
154800dx2 |
154800.m |
154800dx |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{7} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$13.24111859$ |
$1$ |
|
$9$ |
$1179648$ |
$1.939579$ |
$2315685267/9245$ |
$1.00157$ |
$4.13601$ |
$[0, 0, 0, -297675, -62295750]$ |
\(y^2=x^3-297675x-62295750\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-305, 350), (4314, 280962)]$ |
| 154800.n1 |
154800dy2 |
154800.n |
154800dy |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$2.019171404$ |
$1$ |
|
$17$ |
$393216$ |
$1.390272$ |
$2315685267/9245$ |
$1.00157$ |
$3.58440$ |
$[0, 0, 0, -33075, 2307250]$ |
\(y^2=x^3-33075x+2307250\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(95, 150), (135, 550)]$ |
| 234135.l1 |
234135l2 |
234135.l |
234135l |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 3^{9} \cdot 5 \cdot 11^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1105920$ |
$1.640659$ |
$2315685267/9245$ |
$1.00157$ |
$3.70747$ |
$[1, -1, 1, -90047, -10341944]$ |
\(y^2+xy+y=x^3-x^2-90047x-10341944\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
| 234135.bc1 |
234135bc2 |
234135.bc |
234135bc |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 3^{3} \cdot 5 \cdot 11^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$2.576047635$ |
$1$ |
|
$2$ |
$368640$ |
$1.091354$ |
$2315685267/9245$ |
$1.00157$ |
$3.17432$ |
$[1, -1, 0, -10005, 386370]$ |
\(y^2+xy=x^3-x^2-10005x+386370\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-74, 884)]$ |
| 327015.m1 |
327015m2 |
327015.m |
327015m |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 43 \) |
\( 3^{9} \cdot 5 \cdot 13^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$4.616731632$ |
$1$ |
|
$0$ |
$1769472$ |
$1.724188$ |
$2315685267/9245$ |
$1.00157$ |
$3.68885$ |
$[1, -1, 1, -125768, 17139412]$ |
\(y^2+xy+y=x^3-x^2-125768x+17139412\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(1535/2, 38683/2)]$ |
| 327015.bg1 |
327015bg2 |
327015.bg |
327015bg |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 43 \) |
\( 3^{3} \cdot 5 \cdot 13^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$589824$ |
$1.174881$ |
$2315685267/9245$ |
$1.00157$ |
$3.16973$ |
$[1, -1, 0, -13974, -630135]$ |
\(y^2+xy=x^3-x^2-13974x-630135\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
| 416025.h1 |
416025h2 |
416025.h |
416025h |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{3} \cdot 5^{7} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11354112$ |
$2.577724$ |
$2315685267/9245$ |
$1.00157$ |
$4.41184$ |
$[1, -1, 1, -3822230, 2867245022]$ |
\(y^2+xy+y=x^3-x^2-3822230x+2867245022\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
| 416025.bk1 |
416025bk2 |
416025.bk |
416025bk |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{9} \cdot 5^{7} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34062336$ |
$3.127033$ |
$2315685267/9245$ |
$1.00157$ |
$4.92131$ |
$[1, -1, 0, -34400067, -77381215534]$ |
\(y^2+xy=x^3-x^2-34400067x-77381215534\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
| 474075.z1 |
474075z2 |
474075.z |
474075z |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{7} \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$2.089469709$ |
$1$ |
|
$6$ |
$5308416$ |
$2.219387$ |
$2315685267/9245$ |
$1.00157$ |
$4.03872$ |
$[1, -1, 1, -911630, -333638378]$ |
\(y^2+xy+y=x^3-x^2-911630x-333638378\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-530, 926)]$ |
| 474075.db1 |
474075db2 |
474075.db |
474075db |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 43 \) |
\( 3^{3} \cdot 5^{7} \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1.500941407$ |
$1$ |
|
$4$ |
$1769472$ |
$1.670080$ |
$2315685267/9245$ |
$1.00157$ |
$3.53435$ |
$[1, -1, 0, -101292, 12390741]$ |
\(y^2+xy=x^3-x^2-101292x+12390741\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(324, 3513)]$ |
