| 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 |
| 916.d1 |
916d2 |
916.d |
916d |
$2$ |
$3$ |
\( 2^{2} \cdot 229 \) |
\( 2^{4} \cdot 229^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1374$ |
$16$ |
$0$ |
$0.579325935$ |
$1$ |
|
$2$ |
$180$ |
$0.284983$ |
$26919436288/12008989$ |
$0.96889$ |
$3.92795$ |
$[0, 1, 0, -157, -416]$ |
\(y^2=x^3+x^2-157x-416\) |
3.8.0-3.a.1.1, 458.2.0.?, 1374.16.0.? |
$[(60, 458)]$ |
| 3664.d1 |
3664m2 |
3664.d |
3664m |
$2$ |
$3$ |
\( 2^{4} \cdot 229 \) |
\( 2^{4} \cdot 229^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2748$ |
$16$ |
$0$ |
$0.461083001$ |
$1$ |
|
$0$ |
$720$ |
$0.284983$ |
$26919436288/12008989$ |
$0.96889$ |
$3.26440$ |
$[0, -1, 0, -157, 416]$ |
\(y^2=x^3-x^2-157x+416\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 458.2.0.?, 1374.8.0.?, 2748.16.0.? |
$[(-11/2, 229/2)]$ |
| 8244.g1 |
8244g2 |
8244.g |
8244g |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{6} \cdot 229^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1374$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$5400$ |
$0.834290$ |
$26919436288/12008989$ |
$0.96889$ |
$3.70184$ |
$[0, 0, 0, -1416, 9817]$ |
\(y^2=x^3-1416x+9817\) |
3.8.0-3.a.1.2, 458.2.0.?, 1374.16.0.? |
$[ ]$ |
| 14656.k1 |
14656h2 |
14656.k |
14656h |
$2$ |
$3$ |
\( 2^{6} \cdot 229 \) |
\( 2^{10} \cdot 229^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5496$ |
$16$ |
$0$ |
$2.610917411$ |
$1$ |
|
$2$ |
$5760$ |
$0.631557$ |
$26919436288/12008989$ |
$0.96889$ |
$3.22619$ |
$[0, -1, 0, -629, -2699]$ |
\(y^2=x^3-x^2-629x-2699\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 458.2.0.?, 1374.8.0.?, 5496.16.0.? |
$[(-15, 56)]$ |
| 14656.v1 |
14656q2 |
14656.v |
14656q |
$2$ |
$3$ |
\( 2^{6} \cdot 229 \) |
\( 2^{10} \cdot 229^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5496$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.631557$ |
$26919436288/12008989$ |
$0.96889$ |
$3.22619$ |
$[0, 1, 0, -629, 2699]$ |
\(y^2=x^3+x^2-629x+2699\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 458.2.0.?, 1374.8.0.?, 5496.16.0.? |
$[ ]$ |
| 22900.b1 |
22900f2 |
22900.b |
22900f |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 5^{6} \cdot 229^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6870$ |
$16$ |
$0$ |
$0.562255048$ |
$1$ |
|
$6$ |
$19440$ |
$1.089703$ |
$26919436288/12008989$ |
$0.96889$ |
$3.63041$ |
$[0, -1, 0, -3933, -44138]$ |
\(y^2=x^3-x^2-3933x-44138\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 458.2.0.?, 1374.8.0.?, 6870.16.0.? |
$[(73, 229)]$ |
| 32976.t1 |
32976w2 |
32976.t |
32976w |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{6} \cdot 229^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2748$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21600$ |
$0.834290$ |
$26919436288/12008989$ |
$0.96889$ |
$3.20856$ |
$[0, 0, 0, -1416, -9817]$ |
\(y^2=x^3-1416x-9817\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 458.2.0.?, 1374.8.0.?, 2748.16.0.? |
$[ ]$ |
| 44884.f1 |
44884c2 |
44884.f |
44884c |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 229 \) |
\( 2^{4} \cdot 7^{6} \cdot 229^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9618$ |
$16$ |
$0$ |
$4.438780833$ |
$1$ |
|
$2$ |
$64800$ |
$1.257938$ |
$26919436288/12008989$ |
$0.96889$ |
$3.59081$ |
$[0, -1, 0, -7709, 127282]$ |
\(y^2=x^3-x^2-7709x+127282\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 458.2.0.?, 1374.8.0.?, 9618.16.0.? |
$[(14, 148)]$ |
| 91600.x1 |
91600y2 |
91600.x |
91600y |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 5^{6} \cdot 229^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13740$ |
$16$ |
$0$ |
$4.060790412$ |
$1$ |
|
$0$ |
$77760$ |
$1.089703$ |
$26919436288/12008989$ |
$0.96889$ |
$3.18991$ |
$[0, 1, 0, -3933, 44138]$ |
\(y^2=x^3+x^2-3933x+44138\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 458.2.0.?, 1374.8.0.?, 13740.16.0.? |
$[(349/6, 18091/6)]$ |
| 110836.d1 |
110836d2 |
110836.d |
110836d |
$2$ |
$3$ |
\( 2^{2} \cdot 11^{2} \cdot 229 \) |
\( 2^{4} \cdot 11^{6} \cdot 229^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15114$ |
$16$ |
$0$ |
$2.379291027$ |
$1$ |
|
$8$ |
$243000$ |
$1.483931$ |
$26919436288/12008989$ |
$0.96889$ |
$3.54483$ |
$[0, 1, 0, -19037, 477596]$ |
\(y^2=x^3+x^2-19037x+477596\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 458.2.0.?, 1374.8.0.?, 15114.16.0.? |
$[(23, 229), (-595/2, 1603/2)]$ |
| 131904.e1 |
131904b2 |
131904.e |
131904b |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 229 \) |
\( 2^{10} \cdot 3^{6} \cdot 229^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5496$ |
$16$ |
$0$ |
$3.693381449$ |
$1$ |
|
$2$ |
$172800$ |
$1.180862$ |
$26919436288/12008989$ |
$0.96889$ |
$3.18404$ |
$[0, 0, 0, -5664, -78536]$ |
\(y^2=x^3-5664x-78536\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 458.2.0.?, 1374.8.0.?, 5496.16.0.? |
$[(-42, 292)]$ |
| 131904.i1 |
131904be2 |
131904.i |
131904be |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 229 \) |
\( 2^{10} \cdot 3^{6} \cdot 229^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5496$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$1.180862$ |
$26919436288/12008989$ |
$0.96889$ |
$3.18404$ |
$[0, 0, 0, -5664, 78536]$ |
\(y^2=x^3-5664x+78536\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 458.2.0.?, 1374.8.0.?, 5496.16.0.? |
$[ ]$ |
| 154804.j1 |
154804j2 |
154804.j |
154804j |
$2$ |
$3$ |
\( 2^{2} \cdot 13^{2} \cdot 229 \) |
\( 2^{4} \cdot 13^{6} \cdot 229^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$17862$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$414720$ |
$1.567457$ |
$26919436288/12008989$ |
$0.96889$ |
$3.52960$ |
$[0, 1, 0, -26589, -807676]$ |
\(y^2=x^3+x^2-26589x-807676\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 458.2.0.?, 1374.8.0.?, 17862.16.0.? |
$[ ]$ |
| 179536.bb1 |
179536p2 |
179536.bb |
179536p |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 229 \) |
\( 2^{4} \cdot 7^{6} \cdot 229^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$19236$ |
$16$ |
$0$ |
$11.40497762$ |
$1$ |
|
$0$ |
$259200$ |
$1.257938$ |
$26919436288/12008989$ |
$0.96889$ |
$3.17935$ |
$[0, 1, 0, -7709, -127282]$ |
\(y^2=x^3+x^2-7709x-127282\) |
3.4.0.a.1, 84.8.0.?, 458.2.0.?, 1374.8.0.?, 19236.16.0.? |
$[(-133346/87, 38243422/87)]$ |
| 206100.e1 |
206100f2 |
206100.e |
206100f |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 229^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6870$ |
$16$ |
$0$ |
$10.66771971$ |
$1$ |
|
$2$ |
$583200$ |
$1.639008$ |
$26919436288/12008989$ |
$0.96889$ |
$3.51721$ |
$[0, 0, 0, -35400, 1227125]$ |
\(y^2=x^3-35400x+1227125\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 458.2.0.?, 1374.8.0.?, 6870.16.0.? |
$[(11, 916), (-79/2, 11081/2)]$ |
| 209764.d1 |
209764d2 |
209764.d |
209764d |
$2$ |
$3$ |
\( 2^{2} \cdot 229^{2} \) |
\( 2^{4} \cdot 229^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1374$ |
$16$ |
$0$ |
$9.760302374$ |
$1$ |
|
$4$ |
$9439200$ |
$3.001842$ |
$26919436288/12008989$ |
$0.96889$ |
$4.84677$ |
$[0, 1, 0, -8250717, -4369129684]$ |
\(y^2=x^3+x^2-8250717x-4369129684\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 458.2.0.?, 687.8.0.?, 1374.16.0.? |
$[(-79475/6, 12008989/6), (24808, 3880634)]$ |
| 264724.b1 |
264724b2 |
264724.b |
264724b |
$2$ |
$3$ |
\( 2^{2} \cdot 17^{2} \cdot 229 \) |
\( 2^{4} \cdot 17^{6} \cdot 229^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$23358$ |
$16$ |
$0$ |
$7.937532210$ |
$1$ |
|
$2$ |
$907200$ |
$1.701590$ |
$26919436288/12008989$ |
$0.96889$ |
$3.50684$ |
$[0, -1, 0, -45469, -1771174]$ |
\(y^2=x^3-x^2-45469x-1771174\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 458.2.0.?, 1374.8.0.?, 23358.16.0.? |
$[(2690, 139046)]$ |
| 330676.b1 |
330676b2 |
330676.b |
330676b |
$2$ |
$3$ |
\( 2^{2} \cdot 19^{2} \cdot 229 \) |
\( 2^{4} \cdot 19^{6} \cdot 229^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26106$ |
$16$ |
$0$ |
$2.703851982$ |
$1$ |
|
$10$ |
$1292760$ |
$1.757202$ |
$26919436288/12008989$ |
$0.96889$ |
$3.49797$ |
$[0, -1, 0, -56797, 2512814]$ |
\(y^2=x^3-x^2-56797x+2512814\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 458.2.0.?, 1374.8.0.?, 26106.16.0.? |
$[(-1, 1603), (457, 8473)]$ |
| 366400.u1 |
366400u2 |
366400.u |
366400u |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 229 \) |
\( 2^{10} \cdot 5^{6} \cdot 229^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$27480$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$622080$ |
$1.436275$ |
$26919436288/12008989$ |
$0.96889$ |
$3.16936$ |
$[0, -1, 0, -15733, 368837]$ |
\(y^2=x^3-x^2-15733x+368837\) |
3.4.0.a.1, 120.8.0.?, 458.2.0.?, 1374.8.0.?, 27480.16.0.? |
$[ ]$ |
| 366400.bt1 |
366400bt2 |
366400.bt |
366400bt |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 229 \) |
\( 2^{10} \cdot 5^{6} \cdot 229^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$27480$ |
$16$ |
$0$ |
$11.40800967$ |
$1$ |
|
$0$ |
$622080$ |
$1.436275$ |
$26919436288/12008989$ |
$0.96889$ |
$3.16936$ |
$[0, 1, 0, -15733, -368837]$ |
\(y^2=x^3+x^2-15733x-368837\) |
3.4.0.a.1, 120.8.0.?, 458.2.0.?, 1374.8.0.?, 27480.16.0.? |
$[(-37181/39, 2479976/39)]$ |
| 403956.i1 |
403956i2 |
403956.i |
403956i |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 229^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9618$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1944000$ |
$1.807243$ |
$26919436288/12008989$ |
$0.96889$ |
$3.49025$ |
$[0, 0, 0, -69384, -3367231]$ |
\(y^2=x^3-69384x-3367231\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 458.2.0.?, 1374.8.0.?, 9618.16.0.? |
$[ ]$ |
| 443344.d1 |
443344d2 |
443344.d |
443344d |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 229 \) |
\( 2^{4} \cdot 11^{6} \cdot 229^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30228$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$972000$ |
$1.483931$ |
$26919436288/12008989$ |
$0.96889$ |
$3.16688$ |
$[0, -1, 0, -19037, -477596]$ |
\(y^2=x^3-x^2-19037x-477596\) |
3.4.0.a.1, 132.8.0.?, 458.2.0.?, 1374.8.0.?, 30228.16.0.? |
$[ ]$ |
| 484564.e1 |
484564e2 |
484564.e |
484564e |
$2$ |
$3$ |
\( 2^{2} \cdot 23^{2} \cdot 229 \) |
\( 2^{4} \cdot 23^{6} \cdot 229^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$31602$ |
$16$ |
$0$ |
$20.14956732$ |
$1$ |
|
$0$ |
$2138400$ |
$1.852730$ |
$26919436288/12008989$ |
$0.96889$ |
$3.48344$ |
$[0, 1, 0, -83229, 4396088]$ |
\(y^2=x^3+x^2-83229x+4396088\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 458.2.0.?, 1374.8.0.?, 31602.16.0.? |
$[(-311320331/1158, 5210520375583/1158)]$ |
