| 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 |
| 88200.a1 |
88200u1 |
88200.a |
88200u |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 7^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.250998909$ |
$1$ |
|
$15$ |
$196608$ |
$1.174753$ |
$55296/7$ |
$0.81576$ |
$3.36522$ |
$[0, 0, 0, -7350, -214375]$ |
\(y^2=x^3-7350x-214375\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[(-56, 147), (385, 7350)]$ |
| 88200.a2 |
88200u2 |
88200.a |
88200u |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$5.003995639$ |
$1$ |
|
$13$ |
$393216$ |
$1.521326$ |
$11664/49$ |
$0.83745$ |
$3.63310$ |
$[0, 0, 0, 11025, -1114750]$ |
\(y^2=x^3+11025x-1114750\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(119, 1372), (154, 2058)]$ |
| 88200.b1 |
88200fc2 |
88200.b |
88200fc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$5.920253220$ |
$1$ |
|
$3$ |
$4128768$ |
$2.727360$ |
$1314036/25$ |
$0.84762$ |
$5.10016$ |
$[0, 0, 0, -5325075, -4651337250]$ |
\(y^2=x^3-5325075x-4651337250\) |
2.3.0.a.1, 20.6.0.d.1, 42.6.0.a.1, 420.12.0.? |
$[(-1301, 8632)]$ |
| 88200.b2 |
88200fc1 |
88200.b |
88200fc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.960126610$ |
$1$ |
|
$5$ |
$2064384$ |
$2.380787$ |
$11664/5$ |
$0.61638$ |
$4.56355$ |
$[0, 0, 0, -694575, 113447250]$ |
\(y^2=x^3-694575x+113447250\) |
2.3.0.a.1, 20.6.0.d.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(49, 8918)]$ |
| 88200.c1 |
88200fb2 |
88200.c |
88200fb |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.786766177$ |
$1$ |
|
$5$ |
$589824$ |
$1.754404$ |
$1314036/25$ |
$0.84762$ |
$4.07486$ |
$[0, 0, 0, -108675, 13560750]$ |
\(y^2=x^3-108675x+13560750\) |
2.3.0.a.1, 20.6.0.d.1, 42.6.0.a.1, 420.12.0.? |
$[(235, 1000)]$ |
| 88200.c2 |
88200fb1 |
88200.c |
88200fb |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.893383088$ |
$1$ |
|
$7$ |
$294912$ |
$1.407829$ |
$11664/5$ |
$0.61638$ |
$3.53825$ |
$[0, 0, 0, -14175, -330750]$ |
\(y^2=x^3-14175x-330750\) |
2.3.0.a.1, 20.6.0.d.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(-35, 350)]$ |
| 88200.d1 |
88200eg1 |
88200.d |
88200eg |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{22} \cdot 5^{4} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4128768$ |
$2.852879$ |
$-427361108435200/301327047$ |
$1.03906$ |
$5.37151$ |
$[0, 0, 0, -14909475, -22172060225]$ |
\(y^2=x^3-14909475x-22172060225\) |
14.2.0.a.1 |
$[]$ |
| 88200.e1 |
88200ek1 |
88200.e |
88200ek |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$134400$ |
$1.073174$ |
$-2646$ |
$1.17572$ |
$3.22675$ |
$[0, 0, 0, -3675, -110250]$ |
\(y^2=x^3-3675x-110250\) |
24.2.0.b.1 |
$[]$ |
| 88200.f1 |
88200ef1 |
88200.f |
88200ef |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$0.325509247$ |
$1$ |
|
$18$ |
$165888$ |
$1.146694$ |
$-6400/7$ |
$0.69269$ |
$3.27581$ |
$[0, 0, 0, -3675, 145775]$ |
\(y^2=x^3-3675x+145775\) |
14.2.0.a.1 |
$[(35, 245), (175, 2205)]$ |
| 88200.g1 |
88200hk1 |
88200.g |
88200hk |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.951414$ |
$-6400/7$ |
$0.69269$ |
$4.12382$ |
$[0, 0, 0, -91875, 18221875]$ |
\(y^2=x^3-91875x+18221875\) |
14.2.0.a.1 |
$[]$ |
| 88200.h1 |
88200ez1 |
88200.h |
88200ez |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$24$ |
$2$ |
$0$ |
$8.699567985$ |
$1$ |
|
$0$ |
$940800$ |
$2.046127$ |
$-2646$ |
$1.17572$ |
$4.25205$ |
$[0, 0, 0, -180075, 37815750]$ |
\(y^2=x^3-180075x+37815750\) |
24.2.0.b.1 |
$[(7326/5, 399426/5)]$ |
| 88200.i1 |
88200hl1 |
88200.i |
88200hl |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{22} \cdot 5^{10} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20643840$ |
$3.657597$ |
$-427361108435200/301327047$ |
$1.03906$ |
$6.21952$ |
$[0, 0, 0, -372736875, -2771507528125]$ |
\(y^2=x^3-372736875x-2771507528125\) |
14.2.0.a.1 |
$[]$ |
| 88200.j1 |
88200cx2 |
88200.j |
88200cx |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.972461352$ |
$1$ |
|
$5$ |
$2064384$ |
$2.388584$ |
$1272112/75$ |
$0.82221$ |
$4.68615$ |
$[0, 0, 0, -1106175, -424376750]$ |
\(y^2=x^3-1106175x-424376750\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[(-565, 4500)]$ |
| 88200.j2 |
88200cx1 |
88200.j |
88200cx |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$3.944922705$ |
$1$ |
|
$3$ |
$1032192$ |
$2.042007$ |
$2048/45$ |
$0.89768$ |
$4.19489$ |
$[0, 0, 0, 51450, -27311375]$ |
\(y^2=x^3+51450x-27311375\) |
2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(1145, 39150)]$ |
| 88200.k1 |
88200he1 |
88200.k |
88200he |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$2.489239$ |
$-50176/75$ |
$0.85223$ |
$4.68520$ |
$[0, 0, 0, -720300, -445385500]$ |
\(y^2=x^3-720300x-445385500\) |
6.2.0.a.1 |
$[]$ |
| 88200.l1 |
88200bc2 |
88200.l |
88200bc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$120$ |
$48$ |
$1$ |
$1.136404411$ |
$1$ |
|
$7$ |
$442368$ |
$1.696331$ |
$1000188$ |
$1.00277$ |
$4.13954$ |
$[0, 0, 0, -138915, 19911150]$ |
\(y^2=x^3-138915x+19911150\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 12.12.0.n.1, 20.12.0.o.1, $\ldots$ |
$[(175, 980)]$ |
| 88200.l2 |
88200bc1 |
88200.l |
88200bc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$120$ |
$48$ |
$1$ |
$2.272808822$ |
$1$ |
|
$5$ |
$221184$ |
$1.349756$ |
$-432$ |
$0.69897$ |
$3.47880$ |
$[0, 0, 0, -6615, 463050]$ |
\(y^2=x^3-6615x+463050\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 12.12.0.o.1, 20.12.0.o.1, $\ldots$ |
$[(30, 540)]$ |
| 88200.m1 |
88200hb4 |
88200.m |
88200hb |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{7} \cdot 7^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.12 |
2B |
$1680$ |
$192$ |
$1$ |
$13.08372487$ |
$1$ |
|
$11$ |
$4718592$ |
$2.962315$ |
$32779037733124/315$ |
$0.98701$ |
$5.79380$ |
$[0, 0, 0, -74091675, 245472151750]$ |
\(y^2=x^3-74091675x+245472151750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.7, $\ldots$ |
$[(4995, 3100), (5006, 4446)]$ |
| 88200.m2 |
88200hb6 |
88200.m |
88200hb |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{14} \cdot 7^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.12 |
2B |
$1680$ |
$192$ |
$1$ |
$52.33489948$ |
$1$ |
|
$3$ |
$9437184$ |
$3.308891$ |
$14695548366242/57421875$ |
$0.98648$ |
$5.78421$ |
$[0, 0, 0, -71445675, -231654568250]$ |
\(y^2=x^3-71445675x-231654568250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.7, 24.24.0.bj.1, $\ldots$ |
$[(-4914, 27734), (212849/2, 96875793/2)]$ |
| 88200.m3 |
88200hb3 |
88200.m |
88200hb |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{10} \cdot 7^{10} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.16 |
2Cs |
$840$ |
$192$ |
$1$ |
$13.08372487$ |
$1$ |
|
$15$ |
$4718592$ |
$2.962315$ |
$23366901604/13505625$ |
$1.08406$ |
$5.15746$ |
$[0, 0, 0, -6618675, 231610750]$ |
\(y^2=x^3-6618675x+231610750\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.7, 24.48.0-24.e.1.15, 40.48.0-40.h.1.30, $\ldots$ |
$[(3035, 90000), (-90, 28750)]$ |
| 88200.m4 |
88200hb2 |
88200.m |
88200hb |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 7^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.16 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.270931217$ |
$1$ |
|
$29$ |
$2359296$ |
$2.615742$ |
$32082281296/99225$ |
$0.92349$ |
$5.06355$ |
$[0, 0, 0, -4634175, 3829509250]$ |
\(y^2=x^3-4634175x+3829509250\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.7, 12.24.0-4.b.1.2, 24.48.0-24.l.1.14, $\ldots$ |
$[(945, 17150), (890, 20250)]$ |
| 88200.m5 |
88200hb1 |
88200.m |
88200hb |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{14} \cdot 5^{7} \cdot 7^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.12 |
2B |
$1680$ |
$192$ |
$1$ |
$3.270931217$ |
$1$ |
|
$15$ |
$1179648$ |
$2.269169$ |
$-24918016/229635$ |
$0.96130$ |
$4.43968$ |
$[0, 0, 0, -169050, 110060125]$ |
\(y^2=x^3-169050x+110060125\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.7, $\ldots$ |
$[(-70, 11025), (134, 9477)]$ |
| 88200.m6 |
88200hb5 |
88200.m |
88200hb |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{7} \cdot 5^{8} \cdot 7^{14} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.12 |
2B |
$1680$ |
$192$ |
$1$ |
$13.08372487$ |
$1$ |
|
$7$ |
$9437184$ |
$3.308891$ |
$746185003198/432360075$ |
$1.10067$ |
$5.52249$ |
$[0, 0, 0, 26456325, 1852285750]$ |
\(y^2=x^3+26456325x+1852285750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.7, 24.24.0.bn.1, $\ldots$ |
$[(1610, 220500), (17465/2, 3583125/2)]$ |
| 88200.n1 |
88200ct4 |
88200.n |
88200ct |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$1680$ |
$192$ |
$3$ |
$4.652897603$ |
$1$ |
|
$3$ |
$884736$ |
$2.124767$ |
$132304644/5$ |
$1.13632$ |
$4.70310$ |
$[0, 0, 0, -1179675, -493148250]$ |
\(y^2=x^3-1179675x-493148250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ |
$[(-626, 118)]$ |
| 88200.n2 |
88200ct2 |
88200.n |
88200ct |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$840$ |
$192$ |
$3$ |
$2.326448801$ |
$1$ |
|
$9$ |
$442368$ |
$1.778193$ |
$148176/25$ |
$1.09175$ |
$3.98469$ |
$[0, 0, 0, -77175, -6945750]$ |
\(y^2=x^3-77175x-6945750\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0.b.1, 40.96.3.bk.1, $\ldots$ |
$[(-126, 882)]$ |
| 88200.n3 |
88200ct1 |
88200.n |
88200ct |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$1680$ |
$192$ |
$3$ |
$1.163224400$ |
$1$ |
|
$7$ |
$221184$ |
$1.431620$ |
$55296/5$ |
$1.01898$ |
$3.65465$ |
$[0, 0, 0, -22050, 1157625]$ |
\(y^2=x^3-22050x+1157625\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ |
$[(60, 225)]$ |
| 88200.n4 |
88200ct3 |
88200.n |
88200ct |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{10} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$1680$ |
$192$ |
$3$ |
$4.652897603$ |
$1$ |
|
$3$ |
$884736$ |
$2.124767$ |
$237276/625$ |
$1.04671$ |
$4.25907$ |
$[0, 0, 0, 143325, -39359250]$ |
\(y^2=x^3+143325x-39359250\) |
2.3.0.a.1, 4.24.0.c.1, 40.48.1.dk.1, 80.96.3.?, 168.48.0.?, $\ldots$ |
$[(1974, 89082)]$ |
| 88200.o1 |
88200ha6 |
88200.o |
88200ha |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{6} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.210 |
2B |
$1680$ |
$192$ |
$1$ |
$25.81703152$ |
$1$ |
|
$5$ |
$1572864$ |
$2.374775$ |
$3065617154/9$ |
$1.21059$ |
$5.03996$ |
$[0, 0, 0, -4237275, -3357198250]$ |
\(y^2=x^3-4237275x-3357198250\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$ |
$[(3710, 178850), (2410, 20700)]$ |
| 88200.o2 |
88200ha4 |
88200.o |
88200ha |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.127 |
2B |
$1680$ |
$192$ |
$1$ |
$6.454257882$ |
$1$ |
|
$13$ |
$786432$ |
$2.028202$ |
$28756228/3$ |
$1.05617$ |
$4.56907$ |
$[0, 0, 0, -709275, 229895750]$ |
\(y^2=x^3-709275x+229895750\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$ |
$[(515, 1100), (499, 468)]$ |
| 88200.o3 |
88200ha3 |
88200.o |
88200ha |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$840$ |
$192$ |
$1$ |
$6.454257882$ |
$1$ |
|
$19$ |
$786432$ |
$2.028202$ |
$1556068/81$ |
$1.03212$ |
$4.31293$ |
$[0, 0, 0, -268275, -51021250]$ |
\(y^2=x^3-268275x-51021250\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 280.96.0.?, $\ldots$ |
$[(-269, 1296), (-301, 1568)]$ |
| 88200.o4 |
88200ha2 |
88200.o |
88200ha |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.138 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.613564470$ |
$1$ |
|
$35$ |
$393216$ |
$1.681627$ |
$35152/9$ |
$0.97255$ |
$3.85835$ |
$[0, 0, 0, -47775, 3001250]$ |
\(y^2=x^3-47775x+3001250\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$ |
$[(25, 1350), (49, 882)]$ |
| 88200.o5 |
88200ha1 |
88200.o |
88200ha |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.150 |
2B |
$1680$ |
$192$ |
$1$ |
$1.613564470$ |
$1$ |
|
$19$ |
$196608$ |
$1.335054$ |
$2048/3$ |
$1.17572$ |
$3.40264$ |
$[0, 0, 0, 7350, 300125]$ |
\(y^2=x^3+7350x+300125\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ |
$[(-14, 441), (49, 882)]$ |
| 88200.o6 |
88200ha5 |
88200.o |
88200ha |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{14} \cdot 5^{6} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.218 |
2B |
$1680$ |
$192$ |
$1$ |
$25.81703152$ |
$1$ |
|
$7$ |
$1572864$ |
$2.374775$ |
$207646/6561$ |
$1.15980$ |
$4.54658$ |
$[0, 0, 0, 172725, -202284250]$ |
\(y^2=x^3+172725x-202284250\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 420.12.0.?, $\ldots$ |
$[(3406, 199746), (1274, 45668)]$ |
| 88200.p1 |
88200gz2 |
88200.p |
88200gz |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{10} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.718920$ |
$2185454/625$ |
$0.89014$ |
$3.89098$ |
$[0, 0, 0, -54075, -3442250]$ |
\(y^2=x^3-54075x-3442250\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[]$ |
| 88200.p2 |
88200gz1 |
88200.p |
88200gz |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.372347$ |
$19652/25$ |
$0.80426$ |
$3.43225$ |
$[0, 0, 0, 8925, -355250]$ |
\(y^2=x^3+8925x-355250\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[]$ |
| 88200.q1 |
88200ht1 |
88200.q |
88200ht |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$117504$ |
$1.067446$ |
$2450$ |
$0.85758$ |
$3.18261$ |
$[0, 0, 0, -3675, 46550]$ |
\(y^2=x^3-3675x+46550\) |
8.2.0.b.1 |
$[]$ |
| 88200.r1 |
88200cu1 |
88200.r |
88200cu |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{10} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$27.27760590$ |
$1$ |
|
$0$ |
$4112640$ |
$2.845119$ |
$2450$ |
$0.85758$ |
$5.05592$ |
$[0, 0, 0, -4501875, -1995831250]$ |
\(y^2=x^3-4501875x-1995831250\) |
8.2.0.b.1 |
$[(-1404431011646/30227, 992794576874181192/30227)]$ |
| 88200.s1 |
88200hd6 |
88200.s |
88200hd |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{14} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$18874368$ |
$3.544731$ |
$784478485879202/221484375$ |
$1.00760$ |
$6.13350$ |
$[0, 0, 0, -269013675, -1697867064250]$ |
\(y^2=x^3-269013675x-1697867064250\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 48.48.0-8.bb.1.5, 56.48.0.bj.1, $\ldots$ |
$[]$ |
| 88200.s2 |
88200hd4 |
88200.s |
88200hd |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$9437184$ |
$3.198154$ |
$549871953124/200930625$ |
$0.97812$ |
$5.43481$ |
$[0, 0, 0, -18966675, -19301553250]$ |
\(y^2=x^3-18966675x-19301553250\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0-8.e.2.12, 40.48.0.w.2, $\ldots$ |
$[]$ |
| 88200.s3 |
88200hd2 |
88200.s |
88200hd |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4718592$ |
$2.851582$ |
$175293437776/4862025$ |
$0.94022$ |
$5.21268$ |
$[0, 0, 0, -8162175, 8757733250]$ |
\(y^2=x^3-8162175x+8757733250\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 20.24.0.c.1, 24.48.0-8.e.1.5, $\ldots$ |
$[]$ |
| 88200.s4 |
88200hd1 |
88200.s |
88200hd |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$2.505009$ |
$2748251600896/2205$ |
$0.99547$ |
$5.21089$ |
$[0, 0, 0, -8107050, 8884686125]$ |
\(y^2=x^3-8107050x+8884686125\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 16.24.0.e.2, $\ldots$ |
$[]$ |
| 88200.s5 |
88200hd3 |
88200.s |
88200hd |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{7} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$9437184$ |
$3.198154$ |
$439608956/259416045$ |
$1.04962$ |
$5.41679$ |
$[0, 0, 0, 1760325, 28692035750]$ |
\(y^2=x^3+1760325x+28692035750\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 20.12.0.h.1, 40.48.0.bn.1, $\ldots$ |
$[]$ |
| 88200.s6 |
88200hd5 |
88200.s |
88200hd |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{22} \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$18874368$ |
$3.544731$ |
$7947184069438/7533176175$ |
$1.00704$ |
$5.73023$ |
$[0, 0, 0, 58208325, -136530378250]$ |
\(y^2=x^3+58208325x-136530378250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.3, $\ldots$ |
$[]$ |
| 88200.t1 |
88200cv4 |
88200.t |
88200cv |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{18} \cdot 5^{7} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$840$ |
$48$ |
$0$ |
$14.06319791$ |
$1$ |
|
$1$ |
$7077888$ |
$3.106880$ |
$282678688658/18600435$ |
$0.96223$ |
$5.43725$ |
$[0, 0, 0, -19143075, 30349754750]$ |
\(y^2=x^3-19143075x+30349754750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.7, $\ldots$ |
$[(44731190/13, 299127739750/13)]$ |
| 88200.t2 |
88200cv2 |
88200.t |
88200cv |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$840$ |
$48$ |
$0$ |
$7.031598957$ |
$1$ |
|
$5$ |
$3538944$ |
$2.760307$ |
$4108974916/893025$ |
$0.92620$ |
$5.00482$ |
$[0, 0, 0, -3708075, -2171790250]$ |
\(y^2=x^3-3708075x-2171790250\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 24.24.0-24.a.1.5, 140.12.0.?, $\ldots$ |
$[(264670, 136158750)]$ |
| 88200.t3 |
88200cv1 |
88200.t |
88200cv |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$840$ |
$48$ |
$0$ |
$3.515799478$ |
$1$ |
|
$1$ |
$1769472$ |
$2.413734$ |
$13674725584/945$ |
$0.91464$ |
$4.98867$ |
$[0, 0, 0, -3487575, -2506729750]$ |
\(y^2=x^3-3487575x-2506729750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.15, $\ldots$ |
$[(8785/2, 165375/2)]$ |
| 88200.t4 |
88200cv3 |
88200.t |
88200cv |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{9} \cdot 5^{10} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$840$ |
$48$ |
$0$ |
$14.06319791$ |
$1$ |
|
$1$ |
$7077888$ |
$3.106880$ |
$22208984782/40516875$ |
$0.97092$ |
$5.28118$ |
$[0, 0, 0, 8198925, -13257207250]$ |
\(y^2=x^3+8198925x-13257207250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.v.1.8, 140.12.0.?, $\ldots$ |
$[(95542630/19, 933944456250/19)]$ |
| 88200.u1 |
88200hc1 |
88200.u |
88200hc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{15} \cdot 5^{8} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$2.538723$ |
$1950665639360512/492075$ |
$1.06723$ |
$5.27476$ |
$[0, 0, 0, -10330950, -12780810875]$ |
\(y^2=x^3-10330950x-12780810875\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[]$ |
| 88200.u2 |
88200hc2 |
88200.u |
88200hc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{24} \cdot 5^{7} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$2.885296$ |
$-120527903507632/1937102445$ |
$1.01998$ |
$5.27616$ |
$[0, 0, 0, -10291575, -12883067750]$ |
\(y^2=x^3-10291575x-12883067750\) |
2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
| 88200.v1 |
88200fj1 |
88200.v |
88200fj |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.1 |
|
$12$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$362880$ |
$1.614723$ |
$-138240$ |
$1.29203$ |
$3.97293$ |
$[0, 0, 0, -73500, -7717500]$ |
\(y^2=x^3-73500x-7717500\) |
4.4.0.a.1, 6.6.0.b.1, 12.24.1.h.1 |
$[]$ |
