| 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 |
| 19.a2 |
19a1 |
19.a |
19a |
$3$ |
$9$ |
\( 19 \) |
\( - 19^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.72.0.3 |
3Cs.1.1 |
$1026$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$2$ |
$1$ |
$-0.515867$ |
$-89915392/6859$ |
$1.03310$ |
$6.26204$ |
$[0, 1, 1, -9, -15]$ |
\(y^2+y=x^3+x^2-9x-15\) |
3.24.0-3.a.1.1, 9.72.0-9.b.1.1, 38.2.0.a.1, 114.48.1.?, 171.216.4.?, $\ldots$ |
$[]$ |
| 171.b2 |
171b2 |
171.b |
171b |
$3$ |
$9$ |
\( 3^{2} \cdot 19 \) |
\( - 3^{6} \cdot 19^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.72.0.3 |
3Cs.1.1 |
$1026$ |
$1296$ |
$43$ |
$0.677900606$ |
$1$ |
|
$8$ |
$24$ |
$0.033439$ |
$-89915392/6859$ |
$1.03310$ |
$4.86805$ |
$[0, 0, 1, -84, 315]$ |
\(y^2+y=x^3-84x+315\) |
3.24.0-3.a.1.1, 9.72.0-9.b.1.1, 38.2.0.a.1, 114.48.1.?, 171.216.4.?, $\ldots$ |
$[(5, 4)]$ |
| 304.f2 |
304e2 |
304.f |
304e |
$3$ |
$9$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{12} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$2052$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$72$ |
$0.177280$ |
$-89915392/6859$ |
$1.03310$ |
$4.68005$ |
$[0, -1, 0, -149, 797]$ |
\(y^2=x^3-x^2-149x+797\) |
3.12.0.a.1, 9.36.0.b.1, 12.24.0-3.a.1.1, 36.72.0-9.b.1.1, 38.2.0.a.1, $\ldots$ |
$[]$ |
| 361.b2 |
361b2 |
361.b |
361b |
$3$ |
$9$ |
\( 19^{2} \) |
\( - 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$1026$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$360$ |
$0.956352$ |
$-89915392/6859$ |
$1.03310$ |
$6.13102$ |
$[0, -1, 1, -3369, 81208]$ |
\(y^2+y=x^3-x^2-3369x+81208\) |
3.12.0.a.1, 6.24.0-3.a.1.1, 9.36.0.b.1, 18.72.0-9.b.1.1, 38.2.0.a.1, $\ldots$ |
$[]$ |
| 475.b2 |
475a2 |
475.b |
475a |
$3$ |
$9$ |
\( 5^{2} \cdot 19 \) |
\( - 5^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$5130$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$108$ |
$0.288852$ |
$-89915392/6859$ |
$1.03310$ |
$4.55840$ |
$[0, -1, 1, -233, -1382]$ |
\(y^2+y=x^3-x^2-233x-1382\) |
3.12.0.a.1, 9.36.0.b.1, 15.24.0-3.a.1.1, 38.2.0.a.1, 45.72.0-9.b.1.1, $\ldots$ |
$[]$ |
| 931.a2 |
931b2 |
931.a |
931b |
$3$ |
$9$ |
\( 7^{2} \cdot 19 \) |
\( - 7^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$7182$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$378$ |
$0.457088$ |
$-89915392/6859$ |
$1.03310$ |
$4.40499$ |
$[0, -1, 1, -457, 4157]$ |
\(y^2+y=x^3-x^2-457x+4157\) |
3.12.0.a.1, 9.36.0.b.1, 21.24.0-3.a.1.1, 38.2.0.a.1, 63.72.0-9.b.1.1, $\ldots$ |
$[]$ |
| 1216.b2 |
1216q2 |
1216.b |
1216q |
$3$ |
$9$ |
\( 2^{6} \cdot 19 \) |
\( - 2^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$4104$ |
$1296$ |
$43$ |
$0.198634777$ |
$1$ |
|
$4$ |
$144$ |
$-0.169293$ |
$-89915392/6859$ |
$1.03310$ |
$3.18120$ |
$[0, 1, 0, -37, 81]$ |
\(y^2=x^3+x^2-37x+81\) |
3.12.0.a.1, 9.36.0.b.1, 24.24.0-3.a.1.2, 38.2.0.a.1, 72.72.0.?, $\ldots$ |
$[(8, 19)]$ |
| 1216.o2 |
1216d2 |
1216.o |
1216d |
$3$ |
$9$ |
\( 2^{6} \cdot 19 \) |
\( - 2^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$4104$ |
$1296$ |
$43$ |
$3.055777106$ |
$1$ |
|
$2$ |
$144$ |
$-0.169293$ |
$-89915392/6859$ |
$1.03310$ |
$3.18120$ |
$[0, -1, 0, -37, -81]$ |
\(y^2=x^3-x^2-37x-81\) |
3.12.0.a.1, 9.36.0.b.1, 24.24.0-3.a.1.1, 38.2.0.a.1, 72.72.0.?, $\ldots$ |
$[(18, 69)]$ |
| 2299.b2 |
2299d2 |
2299.b |
2299d |
$3$ |
$9$ |
\( 11^{2} \cdot 19 \) |
\( - 11^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$11286$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$1350$ |
$0.683081$ |
$-89915392/6859$ |
$1.03310$ |
$4.24090$ |
$[0, 1, 1, -1129, 15164]$ |
\(y^2+y=x^3+x^2-1129x+15164\) |
3.12.0.a.1, 9.36.0.b.1, 33.24.0-3.a.1.1, 38.2.0.a.1, 99.72.0.?, $\ldots$ |
$[]$ |
| 2736.c2 |
2736q2 |
2736.c |
2736q |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$2052$ |
$1296$ |
$43$ |
$3.675700734$ |
$1$ |
|
$2$ |
$1728$ |
$0.726586$ |
$-89915392/6859$ |
$1.03310$ |
$4.21362$ |
$[0, 0, 0, -1344, -20176]$ |
\(y^2=x^3-1344x-20176\) |
3.12.0.a.1, 9.36.0.b.1, 12.24.0-3.a.1.1, 36.72.0-9.b.1.1, 38.2.0.a.1, $\ldots$ |
$[(97, 873)]$ |
| 3211.a2 |
3211a2 |
3211.a |
3211a |
$3$ |
$9$ |
\( 13^{2} \cdot 19 \) |
\( - 13^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$13338$ |
$1296$ |
$43$ |
$1.811745694$ |
$1$ |
|
$2$ |
$2160$ |
$0.766607$ |
$-89915392/6859$ |
$1.03310$ |
$4.18956$ |
$[0, 1, 1, -1577, -26178]$ |
\(y^2+y=x^3+x^2-1577x-26178\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 39.24.0-3.a.1.1, 114.24.1.?, $\ldots$ |
$[(56, 253)]$ |
| 3249.d2 |
3249c2 |
3249.d |
3249c |
$3$ |
$9$ |
\( 3^{2} \cdot 19^{2} \) |
\( - 3^{6} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$1026$ |
$1296$ |
$43$ |
$3.067471494$ |
$1$ |
|
$0$ |
$8640$ |
$1.505659$ |
$-89915392/6859$ |
$1.03310$ |
$5.28023$ |
$[0, 0, 1, -30324, -2162300]$ |
\(y^2+y=x^3-30324x-2162300\) |
3.12.0.a.1, 6.24.0-3.a.1.1, 9.36.0.b.1, 18.72.0-9.b.1.1, 38.2.0.a.1, $\ldots$ |
$[(817/2, 3245/2)]$ |
| 4275.i2 |
4275k2 |
4275.i |
4275k |
$3$ |
$9$ |
\( 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 3^{6} \cdot 5^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$5130$ |
$1296$ |
$43$ |
$0.484093929$ |
$1$ |
|
$4$ |
$2592$ |
$0.838158$ |
$-89915392/6859$ |
$1.03310$ |
$4.14884$ |
$[0, 0, 1, -2100, 39406]$ |
\(y^2+y=x^3-2100x+39406\) |
3.12.0.a.1, 9.36.0.b.1, 15.24.0-3.a.1.1, 38.2.0.a.1, 45.72.0-9.b.1.1, $\ldots$ |
$[(34, 85)]$ |
| 5491.b2 |
5491a2 |
5491.b |
5491a |
$3$ |
$9$ |
\( 17^{2} \cdot 19 \) |
\( - 17^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$17442$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$5040$ |
$0.900740$ |
$-89915392/6859$ |
$1.03310$ |
$4.11544$ |
$[0, -1, 1, -2697, -56465]$ |
\(y^2+y=x^3-x^2-2697x-56465\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 51.24.0-3.a.1.1, 114.24.1.?, $\ldots$ |
$[]$ |
| 5776.c2 |
5776q2 |
5776.c |
5776q |
$3$ |
$9$ |
\( 2^{4} \cdot 19^{2} \) |
\( - 2^{12} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$2052$ |
$1296$ |
$43$ |
$5.514626985$ |
$1$ |
|
$0$ |
$25920$ |
$1.649500$ |
$-89915392/6859$ |
$1.03310$ |
$5.12876$ |
$[0, 1, 0, -53909, -5143421]$ |
\(y^2=x^3+x^2-53909x-5143421\) |
3.12.0.a.1, 9.36.0.b.1, 12.24.0-3.a.1.2, 36.72.0-9.b.1.2, 38.2.0.a.1, $\ldots$ |
$[(29309/10, 2078277/10)]$ |
| 7600.c2 |
7600m2 |
7600.c |
7600m |
$3$ |
$9$ |
\( 2^{4} \cdot 5^{2} \cdot 19 \) |
\( - 2^{12} \cdot 5^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$10260$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$7776$ |
$0.981999$ |
$-89915392/6859$ |
$1.03310$ |
$4.07486$ |
$[0, 1, 0, -3733, 92163]$ |
\(y^2=x^3+x^2-3733x+92163\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 60.24.0-3.a.1.1, 114.24.1.?, $\ldots$ |
$[]$ |
| 8379.j2 |
8379f2 |
8379.j |
8379f |
$3$ |
$9$ |
\( 3^{2} \cdot 7^{2} \cdot 19 \) |
\( - 3^{6} \cdot 7^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$7182$ |
$1296$ |
$43$ |
$7.192192360$ |
$1$ |
|
$0$ |
$9072$ |
$1.006393$ |
$-89915392/6859$ |
$1.03310$ |
$4.06325$ |
$[0, 0, 1, -4116, -108131]$ |
\(y^2+y=x^3-4116x-108131\) |
3.12.0.a.1, 9.36.0.b.1, 21.24.0-3.a.1.1, 38.2.0.a.1, 63.72.0-9.b.1.1, $\ldots$ |
$[(3049/5, 137093/5)]$ |
| 9025.d2 |
9025c2 |
9025.d |
9025c |
$3$ |
$9$ |
\( 5^{2} \cdot 19^{2} \) |
\( - 5^{6} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$5130$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$38880$ |
$1.761072$ |
$-89915392/6859$ |
$1.03310$ |
$5.02445$ |
$[0, 1, 1, -84233, 9982569]$ |
\(y^2+y=x^3+x^2-84233x+9982569\) |
3.12.0.a.1, 9.36.0.b.1, 30.24.0-3.a.1.1, 38.2.0.a.1, 90.72.0.?, $\ldots$ |
$[]$ |
| 10051.c2 |
10051b2 |
10051.c |
10051b |
$3$ |
$9$ |
\( 19 \cdot 23^{2} \) |
\( - 19^{3} \cdot 23^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$23598$ |
$1296$ |
$43$ |
$0.944429848$ |
$1$ |
|
$14$ |
$12672$ |
$1.051880$ |
$-89915392/6859$ |
$1.03310$ |
$4.04226$ |
$[0, 1, 1, -4937, 140415]$ |
\(y^2+y=x^3+x^2-4937x+140415\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 69.24.0-3.a.1.1, 114.24.1.?, $\ldots$ |
$[(15, 264), (61, 264)]$ |
| 10944.ck2 |
10944t2 |
10944.ck |
10944t |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$4104$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.380013$ |
$-89915392/6859$ |
$1.03310$ |
$3.13839$ |
$[0, 0, 0, -336, 2522]$ |
\(y^2=x^3-336x+2522\) |
3.12.0.a.1, 9.36.0.b.1, 24.24.0-3.a.1.1, 38.2.0.a.1, 72.72.0.?, $\ldots$ |
$[]$ |
| 10944.cl2 |
10944cn2 |
10944.cl |
10944cn |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$4104$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.380013$ |
$-89915392/6859$ |
$1.03310$ |
$3.13839$ |
$[0, 0, 0, -336, -2522]$ |
\(y^2=x^3-336x-2522\) |
3.12.0.a.1, 9.36.0.b.1, 24.24.0-3.a.1.2, 38.2.0.a.1, 72.72.0.?, $\ldots$ |
$[]$ |
| 14896.a2 |
14896bg2 |
14896.a |
14896bg |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 19 \) |
\( - 2^{12} \cdot 7^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$14364$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$27216$ |
$1.150236$ |
$-89915392/6859$ |
$1.03310$ |
$3.99959$ |
$[0, 1, 0, -7317, -258749]$ |
\(y^2=x^3+x^2-7317x-258749\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 84.24.0.?, 114.24.1.?, $\ldots$ |
$[]$ |
| 15979.e2 |
15979a2 |
15979.e |
15979a |
$3$ |
$9$ |
\( 19 \cdot 29^{2} \) |
\( - 19^{3} \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$29754$ |
$1296$ |
$43$ |
$12.59527793$ |
$1$ |
|
$0$ |
$24192$ |
$1.167782$ |
$-89915392/6859$ |
$1.03310$ |
$3.99234$ |
$[0, -1, 1, -7849, -282148]$ |
\(y^2+y=x^3-x^2-7849x-282148\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 87.24.0.?, 114.24.1.?, $\ldots$ |
$[(5951464/225, 7252349563/225)]$ |
| 17689.f2 |
17689g2 |
17689.f |
17689g |
$3$ |
$9$ |
\( 7^{2} \cdot 19^{2} \) |
\( - 7^{6} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$7182$ |
$1296$ |
$43$ |
$3.347789720$ |
$1$ |
|
$2$ |
$136080$ |
$1.929308$ |
$-89915392/6859$ |
$1.03310$ |
$4.88516$ |
$[0, 1, 1, -165097, -27524248]$ |
\(y^2+y=x^3+x^2-165097x-27524248\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 42.24.0-3.a.1.1, 114.24.1.?, $\ldots$ |
$[(4680, 318943)]$ |
| 18259.a2 |
18259a2 |
18259.a |
18259a |
$3$ |
$9$ |
\( 19 \cdot 31^{2} \) |
\( - 19^{3} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$31806$ |
$1296$ |
$43$ |
$1.582616129$ |
$1$ |
|
$2$ |
$30240$ |
$1.201126$ |
$-89915392/6859$ |
$1.03310$ |
$3.97885$ |
$[0, -1, 1, -8969, 350827]$ |
\(y^2+y=x^3-x^2-8969x+350827\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 93.24.0.?, 114.24.1.?, $\ldots$ |
$[(145, 1441)]$ |
| 20691.i2 |
20691o2 |
20691.i |
20691o |
$3$ |
$9$ |
\( 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 3^{6} \cdot 11^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$11286$ |
$1296$ |
$43$ |
$6.837505454$ |
$1$ |
|
$0$ |
$32400$ |
$1.232388$ |
$-89915392/6859$ |
$1.03310$ |
$3.96653$ |
$[0, 0, 1, -10164, -419598]$ |
\(y^2+y=x^3-10164x-419598\) |
3.12.0.a.1, 9.36.0.b.1, 33.24.0-3.a.1.1, 38.2.0.a.1, 99.72.0.?, $\ldots$ |
$[(2561/2, 127877/2)]$ |
| 23104.i2 |
23104u2 |
23104.i |
23104u |
$3$ |
$9$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$4104$ |
$1296$ |
$43$ |
$1.622303643$ |
$1$ |
|
$4$ |
$51840$ |
$1.302927$ |
$-89915392/6859$ |
$1.03310$ |
$4.00723$ |
$[0, 1, 0, -13477, 636189]$ |
\(y^2=x^3+x^2-13477x+636189\) |
3.12.0.a.1, 9.36.0.b.1, 24.24.0-3.a.1.3, 38.2.0.a.1, 72.72.0.?, $\ldots$ |
$[(700/3, 6859/3), (-451/2, 6859/2)]$ |
| 23104.bs2 |
23104bz2 |
23104.bs |
23104bz |
$3$ |
$9$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$4104$ |
$1296$ |
$43$ |
$13.89653830$ |
$1$ |
|
$0$ |
$51840$ |
$1.302927$ |
$-89915392/6859$ |
$1.03310$ |
$4.00723$ |
$[0, -1, 0, -13477, -636189]$ |
\(y^2=x^3-x^2-13477x-636189\) |
3.12.0.a.1, 9.36.0.b.1, 24.24.0-3.a.1.4, 38.2.0.a.1, 72.72.0.?, $\ldots$ |
$[(723990/73, 57702507/73)]$ |
| 23275.l2 |
23275i2 |
23275.l |
23275i |
$3$ |
$9$ |
\( 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 5^{6} \cdot 7^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$35910$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$40824$ |
$1.261806$ |
$-89915392/6859$ |
$1.03310$ |
$3.95522$ |
$[0, 1, 1, -11433, 496794]$ |
\(y^2+y=x^3+x^2-11433x+496794\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 105.24.0.?, 114.24.1.?, $\ldots$ |
$[]$ |
| 26011.a2 |
26011a2 |
26011.a |
26011a |
$3$ |
$9$ |
\( 19 \cdot 37^{2} \) |
\( - 19^{3} \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$37962$ |
$1296$ |
$43$ |
$4.658407130$ |
$1$ |
|
$0$ |
$51840$ |
$1.289593$ |
$-89915392/6859$ |
$1.03310$ |
$3.94478$ |
$[0, 1, 1, -12777, -595680]$ |
\(y^2+y=x^3+x^2-12777x-595680\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 111.24.0.?, 114.24.1.?, $\ldots$ |
$[(3637/2, 217667/2)]$ |
| 28899.k2 |
28899c2 |
28899.k |
28899c |
$3$ |
$9$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{6} \cdot 13^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$13338$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$51840$ |
$1.315914$ |
$-89915392/6859$ |
$1.03310$ |
$3.93510$ |
$[0, 0, 1, -14196, 692604]$ |
\(y^2+y=x^3-14196x+692604\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 39.24.0-3.a.1.1, 114.24.1.?, $\ldots$ |
$[]$ |
| 30400.k2 |
30400g2 |
30400.k |
30400g |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{6} \cdot 5^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$20520$ |
$1296$ |
$43$ |
$7.108375130$ |
$1$ |
|
$2$ |
$15552$ |
$0.635426$ |
$-89915392/6859$ |
$1.03310$ |
$3.12469$ |
$[0, 1, 0, -933, -11987]$ |
\(y^2=x^3+x^2-933x-11987\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 120.24.0.?, $\ldots$ |
$[(1204, 41781)]$ |
| 30400.br2 |
30400bv2 |
30400.br |
30400bv |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{6} \cdot 5^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$20520$ |
$1296$ |
$43$ |
$2.002009128$ |
$1$ |
|
$2$ |
$15552$ |
$0.635426$ |
$-89915392/6859$ |
$1.03310$ |
$3.12469$ |
$[0, -1, 0, -933, 11987]$ |
\(y^2=x^3-x^2-933x+11987\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 120.24.0.?, $\ldots$ |
$[(-34, 57)]$ |
| 31939.e2 |
31939b2 |
31939.e |
31939b |
$3$ |
$9$ |
\( 19 \cdot 41^{2} \) |
\( - 19^{3} \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$42066$ |
$1296$ |
$43$ |
$20.10991396$ |
$1$ |
|
$0$ |
$69120$ |
$1.340919$ |
$-89915392/6859$ |
$1.03310$ |
$3.92608$ |
$[0, -1, 1, -15689, -799487]$ |
\(y^2+y=x^3-x^2-15689x-799487\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 123.24.0.?, $\ldots$ |
$[(14859337909/10030, 291658245296977/10030)]$ |
| 35131.b2 |
35131c2 |
35131.b |
35131c |
$3$ |
$9$ |
\( 19 \cdot 43^{2} \) |
\( - 19^{3} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$44118$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$81270$ |
$1.364733$ |
$-89915392/6859$ |
$1.03310$ |
$3.91765$ |
$[0, -1, 1, -17257, 934070]$ |
\(y^2+y=x^3-x^2-17257x+934070\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 129.24.0.?, $\ldots$ |
$[]$ |
| 36784.bk2 |
36784bj2 |
36784.bk |
36784bj |
$3$ |
$9$ |
\( 2^{4} \cdot 11^{2} \cdot 19 \) |
\( - 2^{12} \cdot 11^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$22572$ |
$1296$ |
$43$ |
$1$ |
$9$ |
$3$ |
$0$ |
$97200$ |
$1.376228$ |
$-89915392/6859$ |
$1.03310$ |
$3.91364$ |
$[0, -1, 0, -18069, -988579]$ |
\(y^2=x^3-x^2-18069x-988579\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 132.24.0.?, $\ldots$ |
$[]$ |
| 41971.a2 |
41971a2 |
41971.a |
41971a |
$3$ |
$9$ |
\( 19 \cdot 47^{2} \) |
\( - 19^{3} \cdot 47^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$48222$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$105570$ |
$1.409206$ |
$-89915392/6859$ |
$1.03310$ |
$3.90231$ |
$[0, 1, 1, -20617, 1205357]$ |
\(y^2+y=x^3+x^2-20617x+1205357\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 141.24.0.?, $\ldots$ |
$[]$ |
| 43681.i2 |
43681j2 |
43681.i |
43681j |
$3$ |
$9$ |
\( 11^{2} \cdot 19^{2} \) |
\( - 11^{6} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$11286$ |
$1296$ |
$43$ |
$23.86219786$ |
$1$ |
|
$0$ |
$486000$ |
$2.155300$ |
$-89915392/6859$ |
$1.03310$ |
$4.72567$ |
$[0, -1, 1, -407689, -106457473]$ |
\(y^2+y=x^3-x^2-407689x-106457473\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 66.24.0-3.a.1.1, 114.24.1.?, $\ldots$ |
$[(3435265569129/38600, 6087737749800533867/38600)]$ |
| 49419.j2 |
49419f2 |
49419.j |
49419f |
$3$ |
$9$ |
\( 3^{2} \cdot 17^{2} \cdot 19 \) |
\( - 3^{6} \cdot 17^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$17442$ |
$1296$ |
$43$ |
$1.943439533$ |
$1$ |
|
$2$ |
$120960$ |
$1.450047$ |
$-89915392/6859$ |
$1.03310$ |
$3.88868$ |
$[0, 0, 1, -24276, 1548823]$ |
\(y^2+y=x^3-24276x+1548823\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 51.24.0-3.a.1.1, 114.24.1.?, $\ldots$ |
$[(13, 1111)]$ |
| 51376.w2 |
51376x2 |
51376.w |
51376x |
$3$ |
$9$ |
\( 2^{4} \cdot 13^{2} \cdot 19 \) |
\( - 2^{12} \cdot 13^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$26676$ |
$1296$ |
$43$ |
$1.932087853$ |
$1$ |
|
$0$ |
$155520$ |
$1.459755$ |
$-89915392/6859$ |
$1.03310$ |
$3.88549$ |
$[0, -1, 0, -25237, 1650141]$ |
\(y^2=x^3-x^2-25237x+1650141\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 156.24.0.?, $\ldots$ |
$[(621/2, 9633/2)]$ |
| 51984.i2 |
51984cw2 |
51984.i |
51984cw |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$2052$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$622080$ |
$2.198807$ |
$-89915392/6859$ |
$1.03310$ |
$4.69801$ |
$[0, 0, 0, -485184, 138387184]$ |
\(y^2=x^3-485184x+138387184\) |
3.12.0.a.1, 9.36.0.b.1, 12.24.0-3.a.1.2, 36.72.0-9.b.1.2, 38.2.0.a.1, $\ldots$ |
$[]$ |
| 53371.b2 |
53371a2 |
53371.b |
53371a |
$3$ |
$9$ |
\( 19 \cdot 53^{2} \) |
\( - 19^{3} \cdot 53^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$54378$ |
$1296$ |
$43$ |
$12.12460493$ |
$1$ |
|
$0$ |
$144144$ |
$1.469278$ |
$-89915392/6859$ |
$1.03310$ |
$3.88239$ |
$[0, -1, 1, -26217, -1729538]$ |
\(y^2+y=x^3-x^2-26217x-1729538\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 159.24.0.?, $\ldots$ |
$[(9212228/77, 27792637118/77)]$ |
| 57475.g2 |
57475h2 |
57475.g |
57475h |
$3$ |
$9$ |
\( 5^{2} \cdot 11^{2} \cdot 19 \) |
\( - 5^{6} \cdot 11^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$56430$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$145800$ |
$1.487799$ |
$-89915392/6859$ |
$1.03310$ |
$3.87643$ |
$[0, -1, 1, -28233, 1951993]$ |
\(y^2+y=x^3-x^2-28233x+1951993\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 165.24.0.?, $\ldots$ |
$[]$ |
| 59584.u2 |
59584bn2 |
59584.u |
59584bn |
$3$ |
$9$ |
\( 2^{6} \cdot 7^{2} \cdot 19 \) |
\( - 2^{6} \cdot 7^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$28728$ |
$1296$ |
$43$ |
$1.397364657$ |
$1$ |
|
$2$ |
$54432$ |
$0.803661$ |
$-89915392/6859$ |
$1.03310$ |
$3.11706$ |
$[0, 1, 0, -1829, 31429]$ |
\(y^2=x^3+x^2-1829x+31429\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 168.24.0.?, $\ldots$ |
$[(20, 57)]$ |
| 59584.db2 |
59584co2 |
59584.db |
59584co |
$3$ |
$9$ |
\( 2^{6} \cdot 7^{2} \cdot 19 \) |
\( - 2^{6} \cdot 7^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$28728$ |
$1296$ |
$43$ |
$32.11320082$ |
$1$ |
|
$0$ |
$54432$ |
$0.803661$ |
$-89915392/6859$ |
$1.03310$ |
$3.11706$ |
$[0, -1, 0, -1829, -31429]$ |
\(y^2=x^3-x^2-1829x-31429\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 168.24.0.?, $\ldots$ |
$[(82826407556974/476795, 747294455075136103407/476795)]$ |
| 61009.b2 |
61009b2 |
61009.b |
61009b |
$3$ |
$9$ |
\( 13^{2} \cdot 19^{2} \) |
\( - 13^{6} \cdot 19^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$13338$ |
$1296$ |
$43$ |
$4.695009198$ |
$1$ |
|
$4$ |
$777600$ |
$2.238827$ |
$-89915392/6859$ |
$1.03310$ |
$4.67334$ |
$[0, -1, 1, -569417, 176136937]$ |
\(y^2+y=x^3-x^2-569417x+176136937\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 78.24.0.?, 114.24.1.?, $\ldots$ |
$[(127, 10288), (451, 3295)]$ |
| 66139.a2 |
66139a2 |
66139.a |
66139a |
$3$ |
$9$ |
\( 19 \cdot 59^{2} \) |
\( - 19^{3} \cdot 59^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$60534$ |
$1296$ |
$43$ |
$1.205077018$ |
$1$ |
|
$4$ |
$206712$ |
$1.522902$ |
$-89915392/6859$ |
$1.03310$ |
$3.86534$ |
$[0, 1, 1, -32489, 2387160]$ |
\(y^2+y=x^3+x^2-32489x+2387160\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 171.108.4.?, $\ldots$ |
$[(-20, 1740)]$ |
| 68400.cs2 |
68400ec2 |
68400.cs |
68400ec |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$10260$ |
$1296$ |
$43$ |
$19.05630776$ |
$1$ |
|
$0$ |
$186624$ |
$1.531305$ |
$-89915392/6859$ |
$1.03310$ |
$3.86273$ |
$[0, 0, 0, -33600, -2522000]$ |
\(y^2=x^3-33600x-2522000\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 60.24.0-3.a.1.1, 114.24.1.?, $\ldots$ |
$[(538082681/515, 12428750105829/515)]$ |
| 70699.a2 |
70699a2 |
70699.a |
70699a |
$3$ |
$9$ |
\( 19 \cdot 61^{2} \) |
\( - 19^{3} \cdot 61^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$62586$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$230580$ |
$1.539570$ |
$-89915392/6859$ |
$1.03310$ |
$3.86018$ |
$[0, 1, 1, -34729, -2661790]$ |
\(y^2+y=x^3+x^2-34729x-2661790\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 171.108.4.?, $\ldots$ |
$[]$ |
| 80275.m2 |
80275a2 |
80275.m |
80275a |
$3$ |
$9$ |
\( 5^{2} \cdot 13^{2} \cdot 19 \) |
\( - 5^{6} \cdot 13^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$66690$ |
$1296$ |
$43$ |
$19.96064795$ |
$1$ |
|
$0$ |
$233280$ |
$1.571327$ |
$-89915392/6859$ |
$1.03310$ |
$3.85050$ |
$[0, -1, 1, -39433, -3193357]$ |
\(y^2+y=x^3-x^2-39433x-3193357\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 171.108.4.?, $\ldots$ |
$[(5994910497/772, 464052285464023/772)]$ |
