| 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 |
| 5610.t3 |
5610r1 |
5610.t |
5610r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$46080$ |
$1.765781$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.18226$ |
$[1, 0, 1, -43898, 5987756]$ |
\(y^2+xy+y=x^3-43898x+5987756\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 30.48.0-30.b.1.4, 136.6.0.?, $\ldots$ |
$[]$ |
| 16830.bt3 |
16830ce1 |
16830.bt |
16830ce |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$2.315086$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.27458$ |
$[1, -1, 1, -395078, -161669419]$ |
\(y^2+xy+y=x^3-x^2-395078x-161669419\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 30.48.0-30.b.1.3, 136.6.0.?, $\ldots$ |
$[]$ |
| 28050.cc3 |
28050by1 |
28050.cc |
28050by |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{9} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$2.570499$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.31076$ |
$[1, 1, 1, -1097438, 748469531]$ |
\(y^2+xy+y=x^3+x^2-1097438x+748469531\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 15.8.0-3.a.1.2, 30.48.0-30.b.1.1, $\ldots$ |
$[]$ |
| 44880.x3 |
44880bz1 |
44880.x |
44880bz |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{22} \cdot 3^{3} \cdot 5^{3} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1.485509003$ |
$1$ |
|
$5$ |
$1105920$ |
$2.458927$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$4.95275$ |
$[0, -1, 0, -702360, -383216400]$ |
\(y^2=x^3-x^2-702360x-383216400\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0.b.1, $\ldots$ |
$[(1325, 31790)]$ |
| 61710.ct3 |
61710cx1 |
61710.ct |
61710cx |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 11^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$2.878908223$ |
$1$ |
|
$5$ |
$5529600$ |
$2.964729$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.36003$ |
$[1, 0, 0, -5311600, -7975015168]$ |
\(y^2+xy=x^3-5311600x-7975015168\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 33.8.0-3.a.1.2, $\ldots$ |
$[(4784, 273488)]$ |
| 84150.y3 |
84150cs1 |
84150.y |
84150cs |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{9} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8847360$ |
$3.119804$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.37753$ |
$[1, -1, 0, -9876942, -20218554284]$ |
\(y^2+xy=x^3-x^2-9876942x-20218554284\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 15.8.0-3.a.1.1, 30.48.0-30.b.1.2, $\ldots$ |
$[]$ |
| 95370.f3 |
95370h1 |
95370.f |
95370h |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 11^{2} \cdot 17^{12} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$18.06261199$ |
$1$ |
|
$5$ |
$13271040$ |
$3.182388$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.38433$ |
$[1, 1, 0, -12686383, 29430532837]$ |
\(y^2+xy=x^3+x^2-12686383x+29430532837\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 30.24.0.b.1, $\ldots$ |
$[(494, 152345), (86334/5, 20254613/5)]$ |
| 134640.n3 |
134640by1 |
134640.n |
134640by |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{22} \cdot 3^{9} \cdot 5^{3} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$3.998787521$ |
$1$ |
|
$5$ |
$8847360$ |
$3.008236$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.05016$ |
$[0, 0, 0, -6321243, 10353164042]$ |
\(y^2=x^3-6321243x+10353164042\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0.b.1, $\ldots$ |
$[(-803, 122112)]$ |
| 179520.bl3 |
179520id1 |
179520.bl |
179520id |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{28} \cdot 3^{3} \cdot 5^{3} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$4.169311777$ |
$1$ |
|
$1$ |
$8847360$ |
$2.805500$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$4.72899$ |
$[0, -1, 0, -2809441, 3068540641]$ |
\(y^2=x^3-x^2-2809441x+3068540641\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 30.24.0.b.1, $\ldots$ |
$[(-1059/2, 492745/2)]$ |
| 179520.ev3 |
179520bi1 |
179520.ev |
179520bi |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{28} \cdot 3^{3} \cdot 5^{3} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8847360$ |
$2.805500$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$4.72899$ |
$[0, 1, 0, -2809441, -3068540641]$ |
\(y^2=x^3+x^2-2809441x-3068540641\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 185130.j3 |
185130dz1 |
185130.j |
185130dz |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 11^{8} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$44236800$ |
$3.514034$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.41800$ |
$[1, -1, 0, -47804400, 215325409536]$ |
\(y^2+xy=x^3-x^2-47804400x+215325409536\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 33.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 224400.ht3 |
224400cm1 |
224400.ht |
224400cm |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{22} \cdot 3^{3} \cdot 5^{9} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$26542080$ |
$3.263649$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.08954$ |
$[0, 1, 0, -17559008, -47937168012]$ |
\(y^2=x^3+x^2-17559008x-47937168012\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 274890.f3 |
274890f1 |
274890.f |
274890f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$14280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$16588800$ |
$2.738735$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$4.50413$ |
$[1, 1, 0, -2150978, -2055951372]$ |
\(y^2+xy=x^3+x^2-2150978x-2055951372\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 286110.fy3 |
286110fy1 |
286110.fy |
286110fy |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 11^{2} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$106168320$ |
$3.731693$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.43816$ |
$[1, -1, 1, -114177452, -794738564049]$ |
\(y^2+xy+y=x^3-x^2-114177452x-794738564049\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 308550.ca3 |
308550ca1 |
308550.ca |
308550ca |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{9} \cdot 11^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$14.15781163$ |
$1$ |
|
$1$ |
$132710400$ |
$3.769447$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.44152$ |
$[1, 1, 0, -132790000, -996876896000]$ |
\(y^2+xy=x^3+x^2-132790000x-996876896000\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 66.24.0-6.a.1.4, $\ldots$ |
$[(67948224/47, 507277370384/47)]$ |
| 476850.kb3 |
476850kb1 |
476850.kb |
476850kb |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{9} \cdot 11^{2} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$318504960$ |
$3.987106$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.46011$ |
$[1, 0, 0, -317159588, 3679450923792]$ |
\(y^2+xy=x^3-317159588x+3679450923792\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.16, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 493680.dn3 |
493680dn1 |
493680.dn |
493680dn |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{22} \cdot 3^{3} \cdot 5^{3} \cdot 11^{8} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$132710400$ |
$3.657875$ |
$-9354997870579612441/10093752054144000$ |
$0.98188$ |
$5.14430$ |
$[0, -1, 0, -84985600, 510400970752]$ |
\(y^2=x^3-x^2-84985600x+510400970752\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 132.24.0.?, $\ldots$ |
$[]$ |
