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 |
124.a1 |
124a1 |
124.a |
124a |
$2$ |
$3$ |
\( 2^{2} \cdot 31 \) |
\( - 2^{4} \cdot 31 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$186$ |
$16$ |
$0$ |
$0.520530693$ |
$1$ |
|
$10$ |
$6$ |
$-0.771762$ |
$-87808/31$ |
$0.69864$ |
$3.03546$ |
$[0, 1, 0, -2, 1]$ |
\(y^2=x^3+x^2-2x+1\) |
3.8.0-3.a.1.2, 62.2.0.a.1, 186.16.0.? |
$[(2, 3)]$ |
496.d1 |
496d1 |
496.d |
496d |
$2$ |
$3$ |
\( 2^{4} \cdot 31 \) |
\( - 2^{4} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$372$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$-0.771762$ |
$-87808/31$ |
$0.69864$ |
$2.35746$ |
$[0, -1, 0, -2, -1]$ |
\(y^2=x^3-x^2-2x-1\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 62.2.0.a.1, 186.8.0.?, 372.16.0.? |
$[]$ |
1116.f1 |
1116e1 |
1116.f |
1116e |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$186$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$144$ |
$-0.222456$ |
$-87808/31$ |
$0.69864$ |
$3.02436$ |
$[0, 0, 0, -21, -47]$ |
\(y^2=x^3-21x-47\) |
3.8.0-3.a.1.1, 62.2.0.a.1, 186.16.0.? |
$[]$ |
1984.c1 |
1984h1 |
1984.c |
1984h |
$2$ |
$3$ |
\( 2^{6} \cdot 31 \) |
\( - 2^{10} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$744$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$-0.425188$ |
$-87808/31$ |
$0.69864$ |
$2.47478$ |
$[0, 1, 0, -9, -17]$ |
\(y^2=x^3+x^2-9x-17\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 62.2.0.a.1, 186.8.0.?, 744.16.0.? |
$[]$ |
1984.l1 |
1984f1 |
1984.l |
1984f |
$2$ |
$3$ |
\( 2^{6} \cdot 31 \) |
\( - 2^{10} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$744$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$-0.425188$ |
$-87808/31$ |
$0.69864$ |
$2.47478$ |
$[0, -1, 0, -9, 17]$ |
\(y^2=x^3-x^2-9x+17\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 62.2.0.a.1, 186.8.0.?, 744.16.0.? |
$[]$ |
3100.f1 |
3100e1 |
3100.f |
3100e |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 31 \) |
\( - 2^{4} \cdot 5^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$930$ |
$16$ |
$0$ |
$2.007521208$ |
$1$ |
|
$2$ |
$648$ |
$0.032957$ |
$-87808/31$ |
$0.69864$ |
$3.02126$ |
$[0, -1, 0, -58, 237]$ |
\(y^2=x^3-x^2-58x+237\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 62.2.0.a.1, 186.8.0.?, 930.16.0.? |
$[(3, 9)]$ |
3844.c1 |
3844c1 |
3844.c |
3844c |
$2$ |
$3$ |
\( 2^{2} \cdot 31^{2} \) |
\( - 2^{4} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$186$ |
$16$ |
$0$ |
$2.026948199$ |
$1$ |
|
$2$ |
$5760$ |
$0.945232$ |
$-87808/31$ |
$0.69864$ |
$4.26878$ |
$[0, -1, 0, -2242, -51111]$ |
\(y^2=x^3-x^2-2242x-51111\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 62.2.0.a.1, 93.8.0.?, 186.16.0.? |
$[(207, 2883)]$ |
4464.w1 |
4464u1 |
4464.w |
4464u |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$372$ |
$16$ |
$0$ |
$0.762326311$ |
$1$ |
|
$2$ |
$576$ |
$-0.222456$ |
$-87808/31$ |
$0.69864$ |
$2.52546$ |
$[0, 0, 0, -21, 47]$ |
\(y^2=x^3-21x+47\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 62.2.0.a.1, 186.8.0.?, 372.16.0.? |
$[(-2, 9)]$ |
6076.b1 |
6076a1 |
6076.b |
6076a |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 31 \) |
\( - 2^{4} \cdot 7^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1302$ |
$16$ |
$0$ |
$2.802466774$ |
$1$ |
|
$2$ |
$2268$ |
$0.201194$ |
$-87808/31$ |
$0.69864$ |
$3.01962$ |
$[0, -1, 0, -114, -559]$ |
\(y^2=x^3-x^2-114x-559\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 62.2.0.a.1, 186.8.0.?, 1302.16.0.? |
$[(20, 69)]$ |
12400.d1 |
12400p1 |
12400.d |
12400p |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 31 \) |
\( - 2^{4} \cdot 5^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1860$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2592$ |
$0.032957$ |
$-87808/31$ |
$0.69864$ |
$2.57689$ |
$[0, 1, 0, -58, -237]$ |
\(y^2=x^3+x^2-58x-237\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 62.2.0.a.1, 186.8.0.?, 1860.16.0.? |
$[]$ |
15004.a1 |
15004d1 |
15004.a |
15004d |
$2$ |
$3$ |
\( 2^{2} \cdot 11^{2} \cdot 31 \) |
\( - 2^{4} \cdot 11^{6} \cdot 31 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2046$ |
$16$ |
$0$ |
$3.856890181$ |
$1$ |
|
$6$ |
$6480$ |
$0.427186$ |
$-87808/31$ |
$0.69864$ |
$3.01777$ |
$[0, 1, 0, -282, -2411]$ |
\(y^2=x^3+x^2-282x-2411\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 62.2.0.a.1, 186.8.0.?, 2046.16.0.? |
$[(29, 121), (237/2, 3509/2)]$ |
15376.d1 |
15376y1 |
15376.d |
15376y |
$2$ |
$3$ |
\( 2^{4} \cdot 31^{2} \) |
\( - 2^{4} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$372$ |
$16$ |
$0$ |
$0.446519652$ |
$1$ |
|
$2$ |
$23040$ |
$0.945232$ |
$-87808/31$ |
$0.69864$ |
$3.65494$ |
$[0, 1, 0, -2242, 51111]$ |
\(y^2=x^3+x^2-2242x+51111\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 62.2.0.a.1, 186.8.0.?, 372.16.0.? |
$[(103, 961)]$ |
17856.f1 |
17856bh1 |
17856.f |
17856bh |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 31 \) |
\( - 2^{10} \cdot 3^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$744$ |
$16$ |
$0$ |
$1.823720207$ |
$1$ |
|
$2$ |
$4608$ |
$0.124118$ |
$-87808/31$ |
$0.69864$ |
$2.59265$ |
$[0, 0, 0, -84, -376]$ |
\(y^2=x^3-84x-376\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 62.2.0.a.1, 186.8.0.?, 744.16.0.? |
$[(13, 27)]$ |
17856.i1 |
17856bw1 |
17856.i |
17856bw |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 31 \) |
\( - 2^{10} \cdot 3^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$744$ |
$16$ |
$0$ |
$1.038166946$ |
$1$ |
|
$2$ |
$4608$ |
$0.124118$ |
$-87808/31$ |
$0.69864$ |
$2.59265$ |
$[0, 0, 0, -84, 376]$ |
\(y^2=x^3-84x+376\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 62.2.0.a.1, 186.8.0.?, 744.16.0.? |
$[(5, 9)]$ |
20956.b1 |
20956c1 |
20956.b |
20956c |
$2$ |
$3$ |
\( 2^{2} \cdot 13^{2} \cdot 31 \) |
\( - 2^{4} \cdot 13^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2418$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$0.510713$ |
$-87808/31$ |
$0.69864$ |
$3.01718$ |
$[0, 1, 0, -394, 3693]$ |
\(y^2=x^3+x^2-394x+3693\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 62.2.0.a.1, 186.8.0.?, 2418.16.0.? |
$[]$ |
24304.g1 |
24304w1 |
24304.g |
24304w |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 31 \) |
\( - 2^{4} \cdot 7^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2604$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9072$ |
$0.201194$ |
$-87808/31$ |
$0.69864$ |
$2.60509$ |
$[0, 1, 0, -114, 559]$ |
\(y^2=x^3+x^2-114x+559\) |
3.4.0.a.1, 62.2.0.a.1, 84.8.0.?, 186.8.0.?, 2604.16.0.? |
$[]$ |
27900.l1 |
27900k1 |
27900.l |
27900k |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$930$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15552$ |
$0.582264$ |
$-87808/31$ |
$0.69864$ |
$3.01670$ |
$[0, 0, 0, -525, -5875]$ |
\(y^2=x^3-525x-5875\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 62.2.0.a.1, 186.8.0.?, 930.16.0.? |
$[]$ |
34596.q1 |
34596o1 |
34596.q |
34596o |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$186$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.494537$ |
$-87808/31$ |
$0.69864$ |
$4.00205$ |
$[0, 0, 0, -20181, 1400177]$ |
\(y^2=x^3-20181x+1400177\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 62.2.0.a.1, 93.8.0.?, 186.16.0.? |
$[]$ |
35836.e1 |
35836c1 |
35836.e |
35836c |
$2$ |
$3$ |
\( 2^{2} \cdot 17^{2} \cdot 31 \) |
\( - 2^{4} \cdot 17^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3162$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$0.644845$ |
$-87808/31$ |
$0.69864$ |
$3.01630$ |
$[0, -1, 0, -674, 8777]$ |
\(y^2=x^3-x^2-674x+8777\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 62.2.0.a.1, 186.8.0.?, 3162.16.0.? |
$[]$ |
44764.d1 |
44764b1 |
44764.d |
44764b |
$2$ |
$3$ |
\( 2^{2} \cdot 19^{2} \cdot 31 \) |
\( - 2^{4} \cdot 19^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3534$ |
$16$ |
$0$ |
$11.96358110$ |
$1$ |
|
$0$ |
$43092$ |
$0.700458$ |
$-87808/31$ |
$0.69864$ |
$3.01596$ |
$[0, -1, 0, -842, -11659]$ |
\(y^2=x^3-x^2-842x-11659\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 62.2.0.a.1, 186.8.0.?, 3534.16.0.? |
$[(108163/53, 15985467/53)]$ |
49600.l1 |
49600z1 |
49600.l |
49600z |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 31 \) |
\( - 2^{10} \cdot 5^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$0.379531$ |
$-87808/31$ |
$0.69864$ |
$2.63115$ |
$[0, 1, 0, -233, 1663]$ |
\(y^2=x^3+x^2-233x+1663\) |
3.4.0.a.1, 62.2.0.a.1, 120.8.0.?, 186.8.0.?, 3720.16.0.? |
$[]$ |
49600.cm1 |
49600bs1 |
49600.cm |
49600bs |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 31 \) |
\( - 2^{10} \cdot 5^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$0.379531$ |
$-87808/31$ |
$0.69864$ |
$2.63115$ |
$[0, -1, 0, -233, -1663]$ |
\(y^2=x^3-x^2-233x-1663\) |
3.4.0.a.1, 62.2.0.a.1, 120.8.0.?, 186.8.0.?, 3720.16.0.? |
$[]$ |
54684.b1 |
54684p1 |
54684.b |
54684p |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1302$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$54432$ |
$0.750500$ |
$-87808/31$ |
$0.69864$ |
$3.01567$ |
$[0, 0, 0, -1029, 16121]$ |
\(y^2=x^3-1029x+16121\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 62.2.0.a.1, 186.8.0.?, 1302.16.0.? |
$[]$ |
60016.j1 |
60016k1 |
60016.j |
60016k |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 31 \) |
\( - 2^{4} \cdot 11^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4092$ |
$16$ |
$0$ |
$1.931318811$ |
$1$ |
|
$0$ |
$25920$ |
$0.427186$ |
$-87808/31$ |
$0.69864$ |
$2.63754$ |
$[0, -1, 0, -282, 2411]$ |
\(y^2=x^3-x^2-282x+2411\) |
3.4.0.a.1, 62.2.0.a.1, 132.8.0.?, 186.8.0.?, 4092.16.0.? |
$[(5/2, 363/2)]$ |
61504.k1 |
61504bb1 |
61504.k |
61504bb |
$2$ |
$3$ |
\( 2^{6} \cdot 31^{2} \) |
\( - 2^{10} \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$744$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.291805$ |
$-87808/31$ |
$0.69864$ |
$3.57260$ |
$[0, 1, 0, -8969, -417857]$ |
\(y^2=x^3+x^2-8969x-417857\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 62.2.0.a.1, 186.8.0.?, 744.16.0.? |
$[]$ |
61504.cc1 |
61504ca1 |
61504.cc |
61504ca |
$2$ |
$3$ |
\( 2^{6} \cdot 31^{2} \) |
\( - 2^{10} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$744$ |
$16$ |
$0$ |
$5.087564134$ |
$1$ |
|
$0$ |
$184320$ |
$1.291805$ |
$-87808/31$ |
$0.69864$ |
$3.57260$ |
$[0, -1, 0, -8969, 417857]$ |
\(y^2=x^3-x^2-8969x+417857\) |
3.4.0.a.1, 24.8.0-3.a.1.8, 62.2.0.a.1, 186.8.0.?, 744.16.0.? |
$[(-5336/9, 617923/9)]$ |
65596.a1 |
65596d1 |
65596.a |
65596d |
$2$ |
$3$ |
\( 2^{2} \cdot 23^{2} \cdot 31 \) |
\( - 2^{4} \cdot 23^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4278$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$71280$ |
$0.795985$ |
$-87808/31$ |
$0.69864$ |
$3.01541$ |
$[0, 1, 0, -1234, -21591]$ |
\(y^2=x^3+x^2-1234x-21591\) |
3.4.0.a.1, 62.2.0.a.1, 69.8.0-3.a.1.2, 186.8.0.?, 4278.16.0.? |
$[]$ |
83824.bi1 |
83824bc1 |
83824.bi |
83824bc |
$2$ |
$3$ |
\( 2^{4} \cdot 13^{2} \cdot 31 \) |
\( - 2^{4} \cdot 13^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4836$ |
$16$ |
$0$ |
$10.82238805$ |
$1$ |
|
$0$ |
$55296$ |
$0.510713$ |
$-87808/31$ |
$0.69864$ |
$2.64822$ |
$[0, -1, 0, -394, -3693]$ |
\(y^2=x^3-x^2-394x-3693\) |
3.4.0.a.1, 62.2.0.a.1, 156.8.0.?, 186.8.0.?, 4836.16.0.? |
$[(436921/135, 19874231/135)]$ |
96100.e1 |
96100f1 |
96100.e |
96100f |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{4} \cdot 5^{6} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$930$ |
$16$ |
$0$ |
$18.07418948$ |
$1$ |
|
$0$ |
$622080$ |
$1.749950$ |
$-87808/31$ |
$0.69864$ |
$3.91282$ |
$[0, 1, 0, -56058, -6500987]$ |
\(y^2=x^3+x^2-56058x-6500987\) |
3.4.0.a.1, 30.8.0-3.a.1.1, 62.2.0.a.1, 186.8.0.?, 465.8.0.?, $\ldots$ |
$[(2191779261/55, 102611372435441/55)]$ |
97216.f1 |
97216l1 |
97216.f |
97216l |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 31 \) |
\( - 2^{10} \cdot 7^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5208$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72576$ |
$0.547767$ |
$-87808/31$ |
$0.69864$ |
$2.65276$ |
$[0, 1, 0, -457, -4929]$ |
\(y^2=x^3+x^2-457x-4929\) |
3.4.0.a.1, 62.2.0.a.1, 168.8.0.?, 186.8.0.?, 5208.16.0.? |
$[]$ |
97216.bw1 |
97216cf1 |
97216.bw |
97216cf |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 31 \) |
\( - 2^{10} \cdot 7^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5208$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72576$ |
$0.547767$ |
$-87808/31$ |
$0.69864$ |
$2.65276$ |
$[0, -1, 0, -457, 4929]$ |
\(y^2=x^3-x^2-457x+4929\) |
3.4.0.a.1, 62.2.0.a.1, 168.8.0.?, 186.8.0.?, 5208.16.0.? |
$[]$ |
104284.h1 |
104284c1 |
104284.h |
104284c |
$2$ |
$3$ |
\( 2^{2} \cdot 29^{2} \cdot 31 \) |
\( - 2^{4} \cdot 29^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5394$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$151200$ |
$0.911886$ |
$-87808/31$ |
$0.69864$ |
$3.01479$ |
$[0, -1, 0, -1962, 43109]$ |
\(y^2=x^3-x^2-1962x+43109\) |
3.4.0.a.1, 62.2.0.a.1, 87.8.0.?, 186.8.0.?, 5394.16.0.? |
$[]$ |
111600.ck1 |
111600dt1 |
111600.ck |
111600dt |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1860$ |
$16$ |
$0$ |
$2.334615939$ |
$1$ |
|
$2$ |
$62208$ |
$0.582264$ |
$-87808/31$ |
$0.69864$ |
$2.65688$ |
$[0, 0, 0, -525, 5875]$ |
\(y^2=x^3-525x+5875\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 62.2.0.a.1, 186.8.0.?, 1860.16.0.? |
$[(26, 99)]$ |
135036.q1 |
135036q1 |
135036.q |
135036q |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2046$ |
$16$ |
$0$ |
$1.007136970$ |
$1$ |
|
$4$ |
$155520$ |
$0.976492$ |
$-87808/31$ |
$0.69864$ |
$3.01447$ |
$[0, 0, 0, -2541, 62557]$ |
\(y^2=x^3-2541x+62557\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 62.2.0.a.1, 186.8.0.?, 2046.16.0.? |
$[(33, 121)]$ |
138384.cy1 |
138384w1 |
138384.cy |
138384w |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$372$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$552960$ |
$1.494537$ |
$-87808/31$ |
$0.69864$ |
$3.53338$ |
$[0, 0, 0, -20181, -1400177]$ |
\(y^2=x^3-20181x-1400177\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 62.2.0.a.1, 186.8.0.?, 372.16.0.? |
$[]$ |
143344.d1 |
143344b1 |
143344.d |
143344b |
$2$ |
$3$ |
\( 2^{4} \cdot 17^{2} \cdot 31 \) |
\( - 2^{4} \cdot 17^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6324$ |
$16$ |
$0$ |
$5.146237371$ |
$1$ |
|
$0$ |
$110592$ |
$0.644845$ |
$-87808/31$ |
$0.69864$ |
$2.66412$ |
$[0, 1, 0, -674, -8777]$ |
\(y^2=x^3+x^2-674x-8777\) |
3.4.0.a.1, 62.2.0.a.1, 186.8.0.?, 204.8.0.?, 6324.16.0.? |
$[(2519/5, 122247/5)]$ |
151900.b1 |
151900f1 |
151900.b |
151900f |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 31 \) |
\( - 2^{4} \cdot 5^{6} \cdot 7^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6510$ |
$16$ |
$0$ |
$14.85375792$ |
$1$ |
|
$0$ |
$244944$ |
$1.005913$ |
$-87808/31$ |
$0.69864$ |
$3.01433$ |
$[0, 1, 0, -2858, -75587]$ |
\(y^2=x^3+x^2-2858x-75587\) |
3.4.0.a.1, 62.2.0.a.1, 105.8.0.?, 186.8.0.?, 6510.16.0.? |
$[(2490949/101, 3833816111/101)]$ |
169756.d1 |
169756d1 |
169756.d |
169756d |
$2$ |
$3$ |
\( 2^{2} \cdot 31 \cdot 37^{2} \) |
\( - 2^{4} \cdot 31 \cdot 37^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6882$ |
$16$ |
$0$ |
$6.127815108$ |
$1$ |
|
$4$ |
$290304$ |
$1.033697$ |
$-87808/31$ |
$0.69864$ |
$3.01419$ |
$[0, 1, 0, -3194, 87109]$ |
\(y^2=x^3+x^2-3194x+87109\) |
3.4.0.a.1, 62.2.0.a.1, 111.8.0.?, 186.8.0.?, 6882.16.0.? |
$[(85/2, 1369/2), (189/5, 31487/5)]$ |
179056.a1 |
179056a1 |
179056.a |
179056a |
$2$ |
$3$ |
\( 2^{4} \cdot 19^{2} \cdot 31 \) |
\( - 2^{4} \cdot 19^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7068$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172368$ |
$0.700458$ |
$-87808/31$ |
$0.69864$ |
$2.67029$ |
$[0, 1, 0, -842, 11659]$ |
\(y^2=x^3+x^2-842x+11659\) |
3.4.0.a.1, 62.2.0.a.1, 186.8.0.?, 228.8.0.?, 7068.16.0.? |
$[]$ |
188356.b1 |
188356b1 |
188356.b |
188356b |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 31^{2} \) |
\( - 2^{4} \cdot 7^{6} \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1302$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2177280$ |
$1.918186$ |
$-87808/31$ |
$0.69864$ |
$3.86224$ |
$[0, 1, 0, -109874, 17750809]$ |
\(y^2=x^3+x^2-109874x+17750809\) |
3.4.0.a.1, 42.8.0-3.a.1.2, 62.2.0.a.1, 186.8.0.?, 651.8.0.?, $\ldots$ |
$[]$ |
188604.c1 |
188604b1 |
188604.c |
188604b |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 13^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{6} \cdot 13^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2418$ |
$16$ |
$0$ |
$1.062614893$ |
$1$ |
|
$4$ |
$331776$ |
$1.060019$ |
$-87808/31$ |
$0.69864$ |
$3.01407$ |
$[0, 0, 0, -3549, -103259]$ |
\(y^2=x^3-3549x-103259\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 62.2.0.a.1, 186.8.0.?, 2418.16.0.? |
$[(143, 1521)]$ |
208444.b1 |
208444b1 |
208444.b |
208444b |
$2$ |
$3$ |
\( 2^{2} \cdot 31 \cdot 41^{2} \) |
\( - 2^{4} \cdot 31 \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7626$ |
$16$ |
$0$ |
$3.637028517$ |
$1$ |
|
$2$ |
$403920$ |
$1.085024$ |
$-87808/31$ |
$0.69864$ |
$3.01396$ |
$[0, -1, 0, -3922, 121281]$ |
\(y^2=x^3-x^2-3922x+121281\) |
3.4.0.a.1, 62.2.0.a.1, 123.8.0.?, 186.8.0.?, 7626.16.0.? |
$[(24, 201)]$ |
218736.h1 |
218736d1 |
218736.h |
218736d |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2604$ |
$16$ |
$0$ |
$3.559690893$ |
$1$ |
|
$2$ |
$217728$ |
$0.750500$ |
$-87808/31$ |
$0.69864$ |
$2.67566$ |
$[0, 0, 0, -1029, -16121]$ |
\(y^2=x^3-1029x-16121\) |
3.4.0.a.1, 62.2.0.a.1, 84.8.0.?, 186.8.0.?, 2604.16.0.? |
$[(86, 729)]$ |
229276.d1 |
229276d1 |
229276.d |
229276d |
$2$ |
$3$ |
\( 2^{2} \cdot 31 \cdot 43^{2} \) |
\( - 2^{4} \cdot 31 \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7998$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$471744$ |
$1.108839$ |
$-87808/31$ |
$0.69864$ |
$3.01385$ |
$[0, -1, 0, -4314, -136963]$ |
\(y^2=x^3-x^2-4314x-136963\) |
3.4.0.a.1, 62.2.0.a.1, 129.8.0.?, 186.8.0.?, 7998.16.0.? |
$[]$ |
240064.k1 |
240064k1 |
240064.k |
240064k |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \cdot 31 \) |
\( - 2^{10} \cdot 11^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8184$ |
$16$ |
$0$ |
$2.986706662$ |
$1$ |
|
$0$ |
$207360$ |
$0.773760$ |
$-87808/31$ |
$0.69864$ |
$2.67810$ |
$[0, 1, 0, -1129, 18159]$ |
\(y^2=x^3+x^2-1129x+18159\) |
3.4.0.a.1, 62.2.0.a.1, 186.8.0.?, 264.8.0.?, 8184.16.0.? |
$[(-115/2, 1331/2)]$ |
240064.bl1 |
240064bl1 |
240064.bl |
240064bl |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \cdot 31 \) |
\( - 2^{10} \cdot 11^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8184$ |
$16$ |
$0$ |
$19.18197025$ |
$1$ |
|
$0$ |
$207360$ |
$0.773760$ |
$-87808/31$ |
$0.69864$ |
$2.67810$ |
$[0, -1, 0, -1129, -18159]$ |
\(y^2=x^3-x^2-1129x-18159\) |
3.4.0.a.1, 62.2.0.a.1, 186.8.0.?, 264.8.0.?, 8184.16.0.? |
$[(1865312409/4940, 69908301973323/4940)]$ |
262384.v1 |
262384v1 |
262384.v |
262384v |
$2$ |
$3$ |
\( 2^{4} \cdot 23^{2} \cdot 31 \) |
\( - 2^{4} \cdot 23^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8556$ |
$16$ |
$0$ |
$5.886126151$ |
$1$ |
|
$0$ |
$285120$ |
$0.795985$ |
$-87808/31$ |
$0.69864$ |
$2.68039$ |
$[0, -1, 0, -1234, 21591]$ |
\(y^2=x^3-x^2-1234x+21591\) |
3.4.0.a.1, 62.2.0.a.1, 186.8.0.?, 276.8.0.?, 8556.16.0.? |
$[(6469/15, 321103/15)]$ |
273916.f1 |
273916f1 |
273916.f |
273916f |
$2$ |
$3$ |
\( 2^{2} \cdot 31 \cdot 47^{2} \) |
\( - 2^{4} \cdot 31 \cdot 47^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8742$ |
$16$ |
$0$ |
$2.346608292$ |
$1$ |
|
$2$ |
$635904$ |
$1.153313$ |
$-87808/31$ |
$0.69864$ |
$3.01365$ |
$[0, 1, 0, -5154, -182447]$ |
\(y^2=x^3+x^2-5154x-182447\) |
3.4.0.a.1, 62.2.0.a.1, 141.8.0.?, 186.8.0.?, 8742.16.0.? |
$[(736, 19881)]$ |
322524.b1 |
322524b1 |
322524.b |
322524b |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 17^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{6} \cdot 17^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3162$ |
$16$ |
$0$ |
$3.774762902$ |
$1$ |
|
$2$ |
$663552$ |
$1.194151$ |
$-87808/31$ |
$0.69864$ |
$3.01348$ |
$[0, 0, 0, -6069, -230911]$ |
\(y^2=x^3-6069x-230911\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 62.2.0.a.1, 186.8.0.?, 3162.16.0.? |
$[(2176, 101439)]$ |
335296.h1 |
335296h1 |
335296.h |
335296h |
$2$ |
$3$ |
\( 2^{6} \cdot 13^{2} \cdot 31 \) |
\( - 2^{10} \cdot 13^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9672$ |
$16$ |
$0$ |
$6.600726115$ |
$1$ |
|
$0$ |
$442368$ |
$0.857286$ |
$-87808/31$ |
$0.69864$ |
$2.68655$ |
$[0, 1, 0, -1577, -31121]$ |
\(y^2=x^3+x^2-1577x-31121\) |
3.4.0.a.1, 62.2.0.a.1, 186.8.0.?, 312.8.0.?, 9672.16.0.? |
$[(6594/11, 290849/11)]$ |