| 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 |
| 150.a1 |
150b4 |
150.a |
150b |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( 2^{5} \cdot 3^{10} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.2 |
2B, 5B.1.4 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$400$ |
$1.270741$ |
$502270291349/1889568$ |
$1.07575$ |
$8.26788$ |
$[1, 1, 0, -20700, 1134000]$ |
\(y^2+xy=x^3+x^2-20700x+1134000\) |
2.3.0.a.1, 5.24.0-5.a.1.1, 10.72.0-10.a.2.3, 24.6.0.j.1, 40.144.1-40.bf.1.5, $\ldots$ |
$[]$ |
| 150.a2 |
150b2 |
150.a |
150b |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( 2 \cdot 3^{2} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.4 |
2B, 5B.1.3 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$80$ |
$0.466022$ |
$131872229/18$ |
$1.12852$ |
$6.62237$ |
$[1, 1, 0, -1325, -19125]$ |
\(y^2+xy=x^3+x^2-1325x-19125\) |
2.3.0.a.1, 5.24.0-5.a.2.1, 10.72.0-10.a.1.1, 24.6.0.j.1, 40.144.1-40.bf.2.9, $\ldots$ |
$[]$ |
| 150.a3 |
150b3 |
150.a |
150b |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.2 |
2B, 5B.1.4 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$200$ |
$0.924167$ |
$-19465109/248832$ |
$1.09754$ |
$6.86709$ |
$[1, 1, 0, -700, 34000]$ |
\(y^2+xy=x^3+x^2-700x+34000\) |
2.3.0.a.1, 5.24.0-5.a.1.1, 10.72.0-10.a.2.3, 24.6.0.j.1, 30.144.1-30.i.1.3, $\ldots$ |
$[]$ |
| 150.a4 |
150b1 |
150.a |
150b |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.4 |
2B, 5B.1.3 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$40$ |
$0.119448$ |
$-24389/12$ |
$1.10339$ |
$5.02973$ |
$[1, 1, 0, -75, -375]$ |
\(y^2+xy=x^3+x^2-75x-375\) |
2.3.0.a.1, 5.24.0-5.a.2.1, 10.72.0-10.a.1.1, 24.6.0.j.1, 30.144.1-30.i.2.3, $\ldots$ |
$[]$ |
| 150.b1 |
150c7 |
150.b |
150c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$1.368885$ |
$16778985534208729/81000$ |
$1.08181$ |
$9.38315$ |
$[1, 1, 1, -133338, -18795969]$ |
\(y^2+xy+y=x^3+x^2-133338x-18795969\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$ |
$[]$ |
| 150.b2 |
150c8 |
150.b |
150c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$1.368885$ |
$10316097499609/5859375000$ |
$1.13600$ |
$7.90745$ |
$[1, 1, 1, -11338, -67969]$ |
\(y^2+xy+y=x^3+x^2-11338x-67969\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 150.b3 |
150c6 |
150.b |
150c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{12} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$288$ |
$1.022312$ |
$4102915888729/9000000$ |
$1.05221$ |
$7.72344$ |
$[1, 1, 1, -8338, -295969]$ |
\(y^2+xy+y=x^3+x^2-8338x-295969\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.1.2, $\ldots$ |
$[]$ |
| 150.b4 |
150c5 |
150.b |
150c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$0.819579$ |
$2656166199049/33750$ |
$1.05017$ |
$7.63666$ |
$[1, 1, 1, -7213, 232781]$ |
\(y^2+xy+y=x^3+x^2-7213x+232781\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 150.b5 |
150c4 |
150.b |
150c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( 2 \cdot 3^{12} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$0.819579$ |
$35578826569/5314410$ |
$1.03393$ |
$6.77592$ |
$[1, 1, 1, -1713, -24219]$ |
\(y^2+xy+y=x^3+x^2-1713x-24219\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$ |
$[]$ |
| 150.b6 |
150c2 |
150.b |
150c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$96$ |
$0.473005$ |
$702595369/72900$ |
$1.00457$ |
$5.99264$ |
$[1, 1, 1, -463, 3281]$ |
\(y^2+xy+y=x^3+x^2-463x+3281\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.2.2, $\ldots$ |
$[]$ |
| 150.b7 |
150c3 |
150.b |
150c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{9} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$144$ |
$0.675737$ |
$-273359449/1536000$ |
$1.04920$ |
$6.27746$ |
$[1, 1, 1, -338, -7969]$ |
\(y^2+xy+y=x^3+x^2-338x-7969\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.24.0-6.a.1.1, 12.96.0-12.c.1.1, $\ldots$ |
$[]$ |
| 150.b8 |
150c1 |
150.b |
150c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$48$ |
$0.126432$ |
$357911/2160$ |
$0.99689$ |
$4.92720$ |
$[1, 1, 1, 37, 281]$ |
\(y^2+xy+y=x^3+x^2+37x+281\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.24.0-6.a.1.3, 12.96.0-12.c.2.1, $\ldots$ |
$[]$ |
| 150.c1 |
150a4 |
150.c |
150a |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( 2^{5} \cdot 3^{10} \cdot 5^{3} \) |
$0$ |
$\Z/10\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.1 |
2B, 5B.1.1 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$8$ |
$80$ |
$0.466022$ |
$502270291349/1889568$ |
$1.07575$ |
$6.34066$ |
$[1, 0, 0, -828, 9072]$ |
\(y^2+xy=x^3-828x+9072\) |
2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 24.6.0.j.1, 40.144.1-40.bf.1.13, $\ldots$ |
$[]$ |
| 150.c2 |
150a2 |
150.c |
150a |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( 2 \cdot 3^{2} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.3 |
2B, 5B.1.2 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$16$ |
$-0.338697$ |
$131872229/18$ |
$1.12852$ |
$4.69514$ |
$[1, 0, 0, -53, -153]$ |
\(y^2+xy=x^3-53x-153\) |
2.3.0.a.1, 5.24.0-5.a.2.2, 10.72.0-10.a.1.2, 24.6.0.j.1, 40.144.1-40.bf.2.13, $\ldots$ |
$[]$ |
| 150.c3 |
150a3 |
150.c |
150a |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{3} \) |
$0$ |
$\Z/10\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.1 |
2B, 5B.1.1 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$9$ |
$40$ |
$0.119448$ |
$-19465109/248832$ |
$1.09754$ |
$4.93986$ |
$[1, 0, 0, -28, 272]$ |
\(y^2+xy=x^3-28x+272\) |
2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 24.6.0.j.1, 30.144.1-30.i.1.4, $\ldots$ |
$[]$ |
| 150.c4 |
150a1 |
150.c |
150a |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.3 |
2B, 5B.1.2 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$8$ |
$-0.685271$ |
$-24389/12$ |
$1.10339$ |
$3.10250$ |
$[1, 0, 0, -3, -3]$ |
\(y^2+xy=x^3-3x-3\) |
2.3.0.a.1, 5.24.0-5.a.2.2, 10.72.0-10.a.1.2, 24.6.0.j.1, 30.144.1-30.i.2.4, $\ldots$ |
$[]$ |
