| 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 |
| 1005.a2 |
1005b1 |
1005.a |
1005b |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 67 \) |
\( - 3^{12} \cdot 5^{2} \cdot 67 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$402$ |
$16$ |
$0$ |
$0.936947207$ |
$1$ |
|
$8$ |
$480$ |
$0.406592$ |
$1503484706816/890163675$ |
$1.04611$ |
$4.05610$ |
$[0, 1, 1, 239, 295]$ |
\(y^2+y=x^3+x^2+239x+295\) |
3.8.0-3.a.1.2, 134.2.0.?, 402.16.0.? |
$[(-1, 7)]$ |
| 3015.c2 |
3015c1 |
3015.c |
3015c |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 67 \) |
\( - 3^{18} \cdot 5^{2} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$402$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.955898$ |
$1503484706816/890163675$ |
$1.04611$ |
$4.32267$ |
$[0, 0, 1, 2148, -5823]$ |
\(y^2+y=x^3+2148x-5823\) |
3.8.0-3.a.1.1, 134.2.0.?, 402.16.0.? |
$[]$ |
| 5025.d2 |
5025a1 |
5025.d |
5025a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 67 \) |
\( - 3^{12} \cdot 5^{8} \cdot 67 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2010$ |
$16$ |
$0$ |
$1.250200423$ |
$1$ |
|
$4$ |
$11520$ |
$1.211311$ |
$1503484706816/890163675$ |
$1.04611$ |
$4.42321$ |
$[0, -1, 1, 5967, 24968]$ |
\(y^2+y=x^3-x^2+5967x+24968\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 2010.16.0.? |
$[(432, 9112)]$ |
| 15075.g2 |
15075e1 |
15075.g |
15075e |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 67 \) |
\( - 3^{18} \cdot 5^{8} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2010$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$1.760616$ |
$1503484706816/890163675$ |
$1.04611$ |
$4.60327$ |
$[0, 0, 1, 53700, -727844]$ |
\(y^2+y=x^3+53700x-727844\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 2010.16.0.? |
$[]$ |
| 16080.d2 |
16080n1 |
16080.d |
16080n |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$804$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$1.099739$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.75378$ |
$[0, -1, 0, 3819, -15075]$ |
\(y^2=x^3-x^2+3819x-15075\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 804.16.0.? |
$[]$ |
| 48240.bh2 |
48240bx1 |
48240.bh |
48240bx |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( - 2^{12} \cdot 3^{18} \cdot 5^{2} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$804$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.649046$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.98261$ |
$[0, 0, 0, 34368, 372656]$ |
\(y^2=x^3+34368x+372656\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 804.16.0.? |
$[]$ |
| 49245.q2 |
49245q1 |
49245.q |
49245q |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 67 \) |
\( - 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 67 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2814$ |
$16$ |
$0$ |
$2.524374547$ |
$1$ |
|
$6$ |
$172800$ |
$1.379547$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.67569$ |
$[0, -1, 1, 11695, -77869]$ |
\(y^2+y=x^3-x^2+11695x-77869\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 2814.16.0.? |
$[(125, 1822), (75, 1102)]$ |
| 64320.bi2 |
64320i1 |
64320.bi |
64320i |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1608$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$0.753166$ |
$1503484706816/890163675$ |
$1.04611$ |
$2.90813$ |
$[0, -1, 0, 955, 1407]$ |
\(y^2=x^3-x^2+955x+1407\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 1608.16.0.? |
$[]$ |
| 64320.ch2 |
64320cw1 |
64320.ch |
64320cw |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 67 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1608$ |
$16$ |
$0$ |
$0.415114620$ |
$1$ |
|
$4$ |
$69120$ |
$0.753166$ |
$1503484706816/890163675$ |
$1.04611$ |
$2.90813$ |
$[0, 1, 0, 955, -1407]$ |
\(y^2=x^3+x^2+955x-1407\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 134.2.0.?, 402.8.0.?, 1608.16.0.? |
$[(16, 135)]$ |
| 67335.f2 |
67335e1 |
67335.f |
67335e |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 67^{2} \) |
\( - 3^{12} \cdot 5^{2} \cdot 67^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$402$ |
$16$ |
$0$ |
$4.372870710$ |
$1$ |
|
$0$ |
$2154240$ |
$2.508938$ |
$1503484706816/890163675$ |
$1.04611$ |
$4.79130$ |
$[0, -1, 1, 1071375, -65218894]$ |
\(y^2+y=x^3-x^2+1071375x-65218894\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 134.2.0.?, 201.8.0.?, 402.16.0.? |
$[(318765/2, 179986451/2)]$ |
| 80400.dk2 |
80400df1 |
80400.dk |
80400df |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{8} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.904459$ |
$1503484706816/890163675$ |
$1.04611$ |
$4.07385$ |
$[0, 1, 0, 95467, -1693437]$ |
\(y^2=x^3+x^2+95467x-1693437\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 4020.16.0.? |
$[]$ |
| 121605.e2 |
121605k1 |
121605.e |
121605k |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 67 \) |
\( - 3^{12} \cdot 5^{2} \cdot 11^{6} \cdot 67 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4422$ |
$16$ |
$0$ |
$0.798764296$ |
$1$ |
|
$14$ |
$518400$ |
$1.605539$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.62353$ |
$[0, 1, 1, 28879, -277414]$ |
\(y^2+y=x^3+x^2+28879x-277414\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 4422.16.0.? |
$[(832, 24502), (22, 607)]$ |
| 147735.t2 |
147735y1 |
147735.t |
147735y |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 67 \) |
\( - 3^{18} \cdot 5^{2} \cdot 7^{6} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2814$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1382400$ |
$1.928854$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.89022$ |
$[0, 0, 1, 105252, 1997203]$ |
\(y^2+y=x^3+105252x+1997203\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 2814.16.0.? |
$[]$ |
| 169845.v2 |
169845q1 |
169845.v |
169845q |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 13^{2} \cdot 67 \) |
\( - 3^{12} \cdot 5^{2} \cdot 13^{6} \cdot 67 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5226$ |
$16$ |
$0$ |
$0.594500510$ |
$1$ |
|
$6$ |
$1105920$ |
$1.689066$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.60623$ |
$[0, 1, 1, 40335, 487244]$ |
\(y^2+y=x^3+x^2+40335x+487244\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 5226.16.0.? |
$[(186, 3802)]$ |
| 192960.bc2 |
192960bj1 |
192960.bc |
192960bj |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( - 2^{6} \cdot 3^{18} \cdot 5^{2} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1608$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$1.302471$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.18723$ |
$[0, 0, 0, 8592, 46582]$ |
\(y^2=x^3+8592x+46582\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 134.2.0.?, 402.8.0.?, 1608.16.0.? |
$[]$ |
| 192960.bv2 |
192960et1 |
192960.bv |
192960et |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( - 2^{6} \cdot 3^{18} \cdot 5^{2} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1608$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$1.302471$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.18723$ |
$[0, 0, 0, 8592, -46582]$ |
\(y^2=x^3+8592x-46582\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 1608.16.0.? |
$[]$ |
| 202005.f2 |
202005g1 |
202005.f |
202005g |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 67^{2} \) |
\( - 3^{18} \cdot 5^{2} \cdot 67^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$402$ |
$16$ |
$0$ |
$6.348362964$ |
$1$ |
|
$2$ |
$17233920$ |
$3.058243$ |
$1503484706816/890163675$ |
$1.04611$ |
$4.90000$ |
$[0, 0, 1, 9642372, 1751267758]$ |
\(y^2+y=x^3+9642372x+1751267758\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 134.2.0.?, 201.8.0.?, 402.16.0.? |
$[(1186, 121882)]$ |
| 241200.em2 |
241200em1 |
241200.em |
241200em |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 67 \) |
\( - 2^{12} \cdot 3^{18} \cdot 5^{8} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6635520$ |
$2.453766$ |
$1503484706816/890163675$ |
$1.04611$ |
$4.24459$ |
$[0, 0, 0, 859200, 46582000]$ |
\(y^2=x^3+859200x+46582000\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 4020.16.0.? |
$[]$ |
| 246225.bm2 |
246225bm1 |
246225.bm |
246225bm |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 67 \) |
\( - 3^{12} \cdot 5^{8} \cdot 7^{6} \cdot 67 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14070$ |
$16$ |
$0$ |
$1.005917150$ |
$1$ |
|
$4$ |
$4147200$ |
$2.184265$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.97703$ |
$[0, 1, 1, 292367, -9148856]$ |
\(y^2+y=x^3+x^2+292367x-9148856\) |
3.4.0.a.1, 105.8.0.?, 134.2.0.?, 402.8.0.?, 14070.16.0.? |
$[(128, 5512)]$ |
| 290445.c2 |
290445c1 |
290445.c |
290445c |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 17^{2} \cdot 67 \) |
\( - 3^{12} \cdot 5^{2} \cdot 17^{6} \cdot 67 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6834$ |
$16$ |
$0$ |
$6.637888837$ |
$1$ |
|
$0$ |
$2419200$ |
$1.823198$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.58037$ |
$[0, -1, 1, 68975, 1036533]$ |
\(y^2+y=x^3-x^2+68975x+1036533\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 134.2.0.?, 402.8.0.?, 6834.16.0.? |
$[(961/13, 2625124/13)]$ |
| 321600.dk2 |
321600dk1 |
321600.dk |
321600dk |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( - 2^{6} \cdot 3^{12} \cdot 5^{8} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$1.557884$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.30054$ |
$[0, -1, 0, 23867, -223613]$ |
\(y^2=x^3-x^2+23867x-223613\) |
3.4.0.a.1, 120.8.0.?, 134.2.0.?, 402.8.0.?, 8040.16.0.? |
$[]$ |
| 321600.gh2 |
321600gh1 |
321600.gh |
321600gh |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( - 2^{6} \cdot 3^{12} \cdot 5^{8} \cdot 67 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8040$ |
$16$ |
$0$ |
$1.591814450$ |
$1$ |
|
$2$ |
$1658880$ |
$1.557884$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.30054$ |
$[0, 1, 0, 23867, 223613]$ |
\(y^2=x^3+x^2+23867x+223613\) |
3.4.0.a.1, 120.8.0.?, 134.2.0.?, 402.8.0.?, 8040.16.0.? |
$[(188, 3375)]$ |
| 336675.w2 |
336675w1 |
336675.w |
336675w |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 67^{2} \) |
\( - 3^{12} \cdot 5^{8} \cdot 67^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2010$ |
$16$ |
$0$ |
$2.445225431$ |
$1$ |
|
$2$ |
$51701760$ |
$3.313656$ |
$1503484706816/890163675$ |
$1.04611$ |
$4.94415$ |
$[0, 1, 1, 26784367, -8098792981]$ |
\(y^2+y=x^3+x^2+26784367x-8098792981\) |
3.4.0.a.1, 30.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 1005.8.0.?, $\ldots$ |
$[(23539, 3696691)]$ |
| 362805.h2 |
362805h1 |
362805.h |
362805h |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 19^{2} \cdot 67 \) |
\( - 3^{12} \cdot 5^{2} \cdot 19^{6} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7638$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3447360$ |
$1.878811$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.57029$ |
$[0, -1, 1, 86159, -1507914]$ |
\(y^2+y=x^3-x^2+86159x-1507914\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 7638.16.0.? |
$[]$ |
| 364815.t2 |
364815t1 |
364815.t |
364815t |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 67 \) |
\( - 3^{18} \cdot 5^{2} \cdot 11^{6} \cdot 67 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4422$ |
$16$ |
$0$ |
$4.458724748$ |
$1$ |
|
$0$ |
$4147200$ |
$2.154846$ |
$1503484706816/890163675$ |
$1.04611$ |
$3.82738$ |
$[0, 0, 1, 259908, 7750080]$ |
\(y^2+y=x^3+259908x+7750080\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 134.2.0.?, 402.8.0.?, 4422.16.0.? |
$[(1265/2, 88205/2)]$ |
