| 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 |
| 10830.j2 |
10830i2 |
10830.j |
10830i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{6} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147744$ |
$1.894802$ |
$4728305591/3000000$ |
$0.98288$ |
$4.93347$ |
$[1, 0, 1, 89881, -3212374]$ |
\(y^2+xy+y=x^3+89881x-3212374\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1 |
$[]$ |
| 10830.s2 |
10830t2 |
10830.s |
10830t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{6} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$114$ |
$16$ |
$0$ |
$0.470965263$ |
$1$ |
|
$4$ |
$7776$ |
$0.422582$ |
$4728305591/3000000$ |
$0.98288$ |
$3.03181$ |
$[1, 1, 1, 249, 573]$ |
\(y^2+xy+y=x^3+x^2+249x+573\) |
3.4.0.a.1, 6.8.0.b.1, 57.8.0-3.a.1.2, 114.16.0.? |
$[(21, 114)]$ |
| 32490.q2 |
32490v2 |
32490.q |
32490v |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{6} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$114$ |
$16$ |
$0$ |
$0.257962403$ |
$1$ |
|
$24$ |
$62208$ |
$0.971888$ |
$4728305591/3000000$ |
$0.98288$ |
$3.34570$ |
$[1, -1, 0, 2241, -13235]$ |
\(y^2+xy=x^3-x^2+2241x-13235\) |
3.4.0.a.1, 6.8.0.b.1, 57.8.0-3.a.1.1, 114.16.0.? |
$[(86, 857), (6, 17)]$ |
| 32490.br2 |
32490bq2 |
32490.br |
32490bq |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{6} \cdot 19^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1181952$ |
$2.444107$ |
$4728305591/3000000$ |
$0.98288$ |
$5.04626$ |
$[1, -1, 1, 808933, 86734091]$ |
\(y^2+xy+y=x^3-x^2+808933x+86734091\) |
3.8.0-3.a.1.2, 6.16.0-6.b.1.2 |
$[]$ |
| 54150.bc2 |
54150v2 |
54150.bc |
54150v |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{12} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$570$ |
$16$ |
$0$ |
$3.955188251$ |
$1$ |
|
$0$ |
$186624$ |
$1.227301$ |
$4728305591/3000000$ |
$0.98288$ |
$3.47009$ |
$[1, 0, 1, 6224, 59198]$ |
\(y^2+xy+y=x^3+6224x+59198\) |
3.4.0.a.1, 6.8.0.b.1, 285.8.0.?, 570.16.0.? |
$[(-47/3, 4457/3)]$ |
| 54150.bz2 |
54150bm2 |
54150.bz |
54150bm |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{12} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3545856$ |
$2.699520$ |
$4728305591/3000000$ |
$0.98288$ |
$5.09096$ |
$[1, 1, 1, 2247037, -401546719]$ |
\(y^2+xy+y=x^3+x^2+2247037x-401546719\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1 |
$[]$ |
| 86640.k2 |
86640bm2 |
86640.k |
86640bm |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{18} \cdot 3 \cdot 5^{6} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3545856$ |
$2.587948$ |
$4728305591/3000000$ |
$0.98288$ |
$4.76275$ |
$[0, -1, 0, 1438104, 205591920]$ |
\(y^2=x^3-x^2+1438104x+205591920\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.2 |
$[]$ |
| 86640.cp2 |
86640dh2 |
86640.cp |
86640dh |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{18} \cdot 3 \cdot 5^{6} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$228$ |
$16$ |
$0$ |
$3.382743567$ |
$1$ |
|
$4$ |
$186624$ |
$1.115728$ |
$4728305591/3000000$ |
$0.98288$ |
$3.20889$ |
$[0, 1, 0, 3984, -28716]$ |
\(y^2=x^3+x^2+3984x-28716\) |
3.4.0.a.1, 6.8.0.b.1, 228.16.0.? |
$[(226/3, 8000/3), (164, 2250)]$ |
| 162450.bk2 |
162450du2 |
162450.bk |
162450du |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{12} \cdot 19^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$3.352251832$ |
$1$ |
|
$12$ |
$28366848$ |
$3.248825$ |
$4728305591/3000000$ |
$0.98288$ |
$5.17420$ |
$[1, -1, 0, 20223333, 10861984741]$ |
\(y^2+xy=x^3-x^2+20223333x+10861984741\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2 |
$[(-451, 40838), (2798, 297509)]$ |
| 162450.eb2 |
162450bf2 |
162450.eb |
162450bf |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{12} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1492992$ |
$1.776608$ |
$4728305591/3000000$ |
$0.98288$ |
$3.70175$ |
$[1, -1, 1, 56020, -1598353]$ |
\(y^2+xy+y=x^3-x^2+56020x-1598353\) |
3.4.0.a.1, 6.8.0.b.1, 285.8.0.?, 570.16.0.? |
$[]$ |
| 259920.fp2 |
259920fp2 |
259920.fp |
259920fp |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 2^{18} \cdot 3^{7} \cdot 5^{6} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$228$ |
$16$ |
$0$ |
$0.781496974$ |
$1$ |
|
$4$ |
$1492992$ |
$1.665035$ |
$4728305591/3000000$ |
$0.98288$ |
$3.45482$ |
$[0, 0, 0, 35853, 811186]$ |
\(y^2=x^3+35853x+811186\) |
3.4.0.a.1, 6.8.0.b.1, 228.16.0.? |
$[(137, 2880)]$ |
| 259920.fq2 |
259920fq2 |
259920.fq |
259920fq |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 2^{18} \cdot 3^{7} \cdot 5^{6} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28366848$ |
$3.137253$ |
$4728305591/3000000$ |
$0.98288$ |
$4.87176$ |
$[0, 0, 0, 12942933, -5563924774]$ |
\(y^2=x^3+12942933x-5563924774\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.1 |
$[]$ |
| 346560.ea2 |
346560ea2 |
346560.ea |
346560ea |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{24} \cdot 3 \cdot 5^{6} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28366848$ |
$2.934521$ |
$4728305591/3000000$ |
$0.98288$ |
$4.57117$ |
$[0, -1, 0, 5752415, -1650487775]$ |
\(y^2=x^3-x^2+5752415x-1650487775\) |
3.4.0.a.1, 6.8.0.b.1, 24.16.0-6.b.1.1 |
$[]$ |
| 346560.en2 |
346560en2 |
346560.en |
346560en |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{24} \cdot 3 \cdot 5^{6} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$456$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1492992$ |
$1.462303$ |
$4728305591/3000000$ |
$0.98288$ |
$3.18618$ |
$[0, -1, 0, 15935, -245663]$ |
\(y^2=x^3-x^2+15935x-245663\) |
3.4.0.a.1, 6.8.0.b.1, 456.16.0.? |
$[]$ |
| 346560.jq2 |
346560jq2 |
346560.jq |
346560jq |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{24} \cdot 3 \cdot 5^{6} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$456$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1492992$ |
$1.462303$ |
$4728305591/3000000$ |
$0.98288$ |
$3.18618$ |
$[0, 1, 0, 15935, 245663]$ |
\(y^2=x^3+x^2+15935x+245663\) |
3.4.0.a.1, 6.8.0.b.1, 456.16.0.? |
$[]$ |
| 346560.kd2 |
346560kd2 |
346560.kd |
346560kd |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{24} \cdot 3 \cdot 5^{6} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28366848$ |
$2.934521$ |
$4728305591/3000000$ |
$0.98288$ |
$4.57117$ |
$[0, 1, 0, 5752415, 1650487775]$ |
\(y^2=x^3+x^2+5752415x+1650487775\) |
3.4.0.a.1, 6.8.0.b.1, 24.16.0-6.b.1.4 |
$[]$ |
| 433200.cf2 |
433200cf2 |
433200.cf |
433200cf |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{18} \cdot 3 \cdot 5^{12} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1140$ |
$16$ |
$0$ |
$3.782947039$ |
$1$ |
|
$2$ |
$4478976$ |
$1.920448$ |
$4728305591/3000000$ |
$0.98288$ |
$3.55499$ |
$[0, -1, 0, 99592, -3788688]$ |
\(y^2=x^3-x^2+99592x-3788688\) |
3.4.0.a.1, 6.8.0.b.1, 1140.16.0.? |
$[(2332, 113600)]$ |
| 433200.hl2 |
433200hl2 |
433200.hl |
433200hl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{18} \cdot 3 \cdot 5^{12} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$17.63396113$ |
$1$ |
|
$0$ |
$85100544$ |
$3.392666$ |
$4728305591/3000000$ |
$0.98288$ |
$4.91617$ |
$[0, 1, 0, 35952592, 25770895188]$ |
\(y^2=x^3+x^2+35952592x+25770895188\) |
3.4.0.a.1, 6.8.0.b.1, 60.16.0-6.b.1.1 |
$[(-27921102/287, 2751282524544/287)]$ |
