| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 1935.c1 |
1935a2 |
1935.c |
1935a |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43 \) |
\( 3^{3} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$13.91270417$ |
$1$ |
|
$0$ |
$17920$ |
$1.831232$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$7.09970$ |
$1$ |
$[1, -1, 1, -1250003, -537603588]$ |
\(y^2+xy+y=x^3-x^2-1250003x-537603588\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(9790979/65, 25744593603/65)]$ |
$1$ |
| 1935.i1 |
1935c2 |
1935.i |
1935c |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43 \) |
\( 3^{9} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53760$ |
$2.380539$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$7.97071$ |
$1$ |
$[1, -1, 0, -11250024, 14526546893]$ |
\(y^2+xy=x^3-x^2-11250024x+14526546893\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 9675.f1 |
9675f2 |
9675.f |
9675f |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{13} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$3.185257$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$7.62510$ |
$1$ |
$[1, -1, 1, -281250605, 1815537111022]$ |
\(y^2+xy+y=x^3-x^2-281250605x+1815537111022\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 9675.p1 |
9675c2 |
9675.p |
9675c |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{3} \cdot 5^{13} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$430080$ |
$2.635952$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.90685$ |
$1$ |
$[1, -1, 0, -31250067, -67231698534]$ |
\(y^2+xy=x^3-x^2-31250067x-67231698534\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 30960.c1 |
30960w2 |
30960.c |
30960w |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$6.208031046$ |
$1$ |
|
$3$ |
$1146880$ |
$2.524380$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.00045$ |
$1$ |
$[0, 0, 0, -20000043, 34426629658]$ |
\(y^2=x^3-20000043x+34426629658\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(13031, 1409454)]$ |
$1$ |
| 30960.bb1 |
30960bc2 |
30960.bb |
30960bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3440640$ |
$3.073685$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.63791$ |
$1$ |
$[0, 0, 0, -180000387, -929519000766]$ |
\(y^2=x^3-180000387x-929519000766\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 83205.d1 |
83205d2 |
83205.d |
83205d |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{9} \cdot 5^{7} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$99348480$ |
$4.261139$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$7.31644$ |
$1$ |
$[1, -1, 1, -20801294723, -1154733349581044]$ |
\(y^2+xy+y=x^3-x^2-20801294723x-1154733349581044\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 83205.q1 |
83205h2 |
83205.q |
83205h |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 3^{3} \cdot 5^{7} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$3.490616694$ |
$1$ |
|
$0$ |
$33116160$ |
$3.711830$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.73461$ |
$1$ |
$[1, -1, 0, -2311254969, 42768672254658]$ |
\(y^2+xy=x^3-x^2-2311254969x+42768672254658\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(229363/2, 79277637/2)]$ |
$1$ |
| 94815.h1 |
94815g2 |
94815.h |
94815g |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 3^{3} \cdot 5^{7} \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$0.630544514$ |
$1$ |
|
$4$ |
$5160960$ |
$2.804188$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$5.70740$ |
$1$ |
$[1, -1, 1, -61250132, 184520530856]$ |
\(y^2+xy+y=x^3-x^2-61250132x+184520530856\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(4566, 3229)]$ |
$1$ |
| 94815.bi1 |
94815c2 |
94815.bi |
94815c |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{7} \cdot 7^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$15482880$ |
$3.353493$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.28261$ |
$1$ |
$[1, -1, 0, -551251185, -4981503081934]$ |
\(y^2+xy=x^3-x^2-551251185x-4981503081934\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 123840.k1 |
123840dr2 |
123840.k |
123840dr |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$1$ |
$27525120$ |
$3.420258$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.20785$ |
$1$ |
$[0, 0, 0, -720001548, -7436152006128]$ |
\(y^2=x^3-720001548x-7436152006128\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 123840.de1 |
123840n2 |
123840.de |
123840n |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$27525120$ |
$3.420258$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.20785$ |
$1$ |
$[0, 0, 0, -720001548, 7436152006128]$ |
\(y^2=x^3-720001548x+7436152006128\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 123840.ds1 |
123840ed2 |
123840.ds |
123840ed |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$0.877335495$ |
$1$ |
|
$7$ |
$9175040$ |
$2.870953$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$5.64575$ |
$1$ |
$[0, 0, 0, -80000172, 275413037264]$ |
\(y^2=x^3-80000172x+275413037264\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(5168, 500)]$ |
$1$ |
| 123840.gm1 |
123840bc2 |
123840.gm |
123840bc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$7.225695680$ |
$1$ |
|
$3$ |
$9175040$ |
$2.870953$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$5.64575$ |
$1$ |
$[0, 0, 0, -80000172, -275413037264]$ |
\(y^2=x^3-80000172x-275413037264\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(10445, 168861)]$ |
$1$ |
| 154800.ft1 |
154800em2 |
154800.ft |
154800em |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{13} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$82575360$ |
$3.878403$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.55200$ |
$1$ |
$[0, 0, 0, -4500009675, -116189875095750]$ |
\(y^2=x^3-4500009675x-116189875095750\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 154800.gg1 |
154800en2 |
154800.gg |
154800en |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{13} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$27525120$ |
$3.329098$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.00039$ |
$1$ |
$[0, 0, 0, -500001075, 4303328707250]$ |
\(y^2=x^3-500001075x+4303328707250\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 234135.i1 |
234135i2 |
234135.i |
234135i |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{7} \cdot 11^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$68812800$ |
$3.579487$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.04260$ |
$1$ |
$[1, -1, 1, -1361252927, -19330750155824]$ |
\(y^2+xy+y=x^3-x^2-1361252927x-19330750155824\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 234135.z1 |
234135z2 |
234135.z |
234135z |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 3^{3} \cdot 5^{7} \cdot 11^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$8.061401632$ |
$1$ |
|
$0$ |
$22937600$ |
$3.030178$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$5.50945$ |
$1$ |
$[1, -1, 0, -151250325, 716004126250]$ |
\(y^2+xy=x^3-x^2-151250325x+716004126250\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(1864454/17, 442604080/17)]$ |
$1$ |
| 327015.d1 |
327015d2 |
327015.d |
327015d |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{7} \cdot 13^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$9.630948768$ |
$1$ |
|
$0$ |
$123863040$ |
$3.663013$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$5.96254$ |
$1$ |
$[1, -1, 1, -1901254088, 31909119761692]$ |
\(y^2+xy+y=x^3-x^2-1901254088x+31909119761692\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(821917/4, 533044235/4)]$ |
$1$ |
| 327015.bc1 |
327015bc2 |
327015.bc |
327015bc |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 43 \) |
\( 3^{3} \cdot 5^{7} \cdot 13^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$41287680$ |
$3.113705$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$5.44342$ |
$1$ |
$[1, -1, 0, -211250454, -1181748833615]$ |
\(y^2+xy=x^3-x^2-211250454x-1181748833615\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 416025.s1 |
416025s2 |
416025.s |
416025s |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{3} \cdot 5^{13} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$794787840$ |
$4.516548$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.64323$ |
$1$ |
$[1, -1, 1, -57781374230, 5346026250458022]$ |
\(y^2+xy+y=x^3-x^2-57781374230x+5346026250458022\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 416025.bx1 |
416025bx2 |
416025.bx |
416025bx |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{9} \cdot 5^{13} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$2384363520$ |
$5.065857$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$7.15269$ |
$1$ |
$[1, -1, 0, -520032368067, -144342188729998534]$ |
\(y^2+xy=x^3-x^2-520032368067x-144342188729998534\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 474075.bg1 |
474075bg2 |
474075.bg |
474075bg |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{13} \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$30.92037998$ |
$1$ |
|
$0$ |
$371589120$ |
$4.158211$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.24781$ |
$1$ |
$[1, -1, 1, -13781279630, -622701666521378]$ |
\(y^2+xy+y=x^3-x^2-13781279630x-622701666521378\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(5017124881050314/129671, 321823018553731054537385/129671)]$ |
$1$ |
| 474075.cq1 |
474075cq2 |
474075.cq |
474075cq |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 43 \) |
\( 3^{3} \cdot 5^{13} \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$7.817777341$ |
$1$ |
|
$2$ |
$123863040$ |
$3.608906$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$5.74344$ |
$1$ |
$[1, -1, 0, -1531253292, 23063535103741]$ |
\(y^2+xy=x^3-x^2-1531253292x+23063535103741\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(165524, 65527013)]$ |
$1$ |
