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 |
12600.a1 |
12600b1 |
12600.a |
12600b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.564748790$ |
$1$ |
|
$7$ |
$4096$ |
$0.201797$ |
$55296/7$ |
$0.81576$ |
$2.82218$ |
$[0, 0, 0, -150, 625]$ |
\(y^2=x^3-150x+625\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[(0, 25)]$ |
12600.a2 |
12600b2 |
12600.a |
12600b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.129497581$ |
$1$ |
|
$7$ |
$8192$ |
$0.548371$ |
$11664/49$ |
$0.83745$ |
$3.14528$ |
$[0, 0, 0, 225, 3250]$ |
\(y^2=x^3+225x+3250\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(11, 84)]$ |
12600.b1 |
12600bx1 |
12600.b |
12600bx |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{22} \cdot 5^{10} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$5.161062278$ |
$1$ |
|
$2$ |
$430080$ |
$2.684643$ |
$-427361108435200/301327047$ |
$1.03906$ |
$6.26477$ |
$[0, 0, 0, -7606875, 8080196875]$ |
\(y^2=x^3-7606875x+8080196875\) |
14.2.0.a.1 |
$[(1469, 8703)]$ |
12600.c1 |
12600be1 |
12600.c |
12600be |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1.369675401$ |
$1$ |
|
$4$ |
$3456$ |
$0.173739$ |
$-6400/7$ |
$0.69269$ |
$2.71434$ |
$[0, 0, 0, -75, -425]$ |
\(y^2=x^3-75x-425\) |
14.2.0.a.1 |
$[(11, 9)]$ |
12600.d1 |
12600bq1 |
12600.d |
12600bq |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$8.532043544$ |
$1$ |
|
$2$ |
$29568$ |
$1.289440$ |
$-1947910950/823543$ |
$0.99994$ |
$4.16214$ |
$[0, 0, 0, -8475, -395050]$ |
\(y^2=x^3-8475x-395050\) |
168.2.0.? |
$[(8734, 816198)]$ |
12600.e1 |
12600bw5 |
12600.e |
12600bw |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{14} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$9.117244682$ |
$1$ |
|
$1$ |
$393216$ |
$2.571774$ |
$784478485879202/221484375$ |
$1.00760$ |
$6.16102$ |
$[0, 0, 0, -5490075, 4950049750]$ |
\(y^2=x^3-5490075x+4950049750\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 48.48.0-8.bb.1.8, 56.48.0.bj.1, $\ldots$ |
$[(28889/2, 4678587/2)]$ |
12600.e2 |
12600bw3 |
12600.e |
12600bw |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{10} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$4.558622341$ |
$1$ |
|
$5$ |
$196608$ |
$2.225201$ |
$549871953124/200930625$ |
$0.97812$ |
$5.31833$ |
$[0, 0, 0, -387075, 56272750]$ |
\(y^2=x^3-387075x+56272750\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0-8.e.2.8, 40.48.0.w.2, $\ldots$ |
$[(7091, 594864)]$ |
12600.e3 |
12600bw2 |
12600.e |
12600bw |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$2.279311170$ |
$1$ |
|
$9$ |
$98304$ |
$1.878628$ |
$175293437776/4862025$ |
$0.94022$ |
$5.05041$ |
$[0, 0, 0, -166575, -25532750]$ |
\(y^2=x^3-166575x-25532750\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.2, 20.24.0.c.1, $\ldots$ |
$[(-259, 486)]$ |
12600.e4 |
12600bw1 |
12600.e |
12600bw |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$4.558622341$ |
$1$ |
|
$3$ |
$49152$ |
$1.532053$ |
$2748251600896/2205$ |
$0.99547$ |
$5.04826$ |
$[0, 0, 0, -165450, -25902875]$ |
\(y^2=x^3-165450x-25902875\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$ |
$[(1790, 73575)]$ |
12600.e5 |
12600bw4 |
12600.e |
12600bw |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$4.558622341$ |
$1$ |
|
$3$ |
$196608$ |
$2.225201$ |
$439608956/259416045$ |
$1.04962$ |
$5.29659$ |
$[0, 0, 0, 35925, -83650250]$ |
\(y^2=x^3+35925x-83650250\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.1, 20.12.0.h.1, $\ldots$ |
$[(491, 7236)]$ |
12600.e6 |
12600bw6 |
12600.e |
12600bw |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{11} \cdot 3^{22} \cdot 5^{8} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$9.117244682$ |
$1$ |
|
$1$ |
$393216$ |
$2.571774$ |
$7947184069438/7533176175$ |
$1.00704$ |
$5.67463$ |
$[0, 0, 0, 1187925, 398047750]$ |
\(y^2=x^3+1187925x+398047750\) |
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.1.8, $\ldots$ |
$[(-3935/6, 3528775/6)]$ |
12600.f1 |
12600ci1 |
12600.f |
12600ci |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.203888$ |
$-160000/3087$ |
$1.03020$ |
$3.99928$ |
$[0, 0, 0, -1875, -183125]$ |
\(y^2=x^3-1875x-183125\) |
14.2.0.a.1 |
$[]$ |
12600.g1 |
12600bc1 |
12600.g |
12600bc |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{11} \cdot 3^{15} \cdot 5^{8} \cdot 7^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$31.47880848$ |
$1$ |
|
$0$ |
$2661120$ |
$3.549374$ |
$16683494528422270/38919722282469$ |
$1.05956$ |
$6.94320$ |
$[0, 0, 0, 44476125, -198765301250]$ |
\(y^2=x^3+44476125x-198765301250\) |
168.2.0.? |
$[(1564867271416274/163169, 62270745819773624295732/163169)]$ |
12600.h1 |
12600h2 |
12600.h |
12600h |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$0.975444$ |
$208974222/117649$ |
$1.19702$ |
$3.69715$ |
$[0, 0, 0, -2355, -7250]$ |
\(y^2=x^3-2355x-7250\) |
2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
12600.h2 |
12600h1 |
12600.h |
12600h |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.628870$ |
$172974204/343$ |
$1.13031$ |
$3.60371$ |
$[0, 0, 0, -1755, -28250]$ |
\(y^2=x^3-1755x-28250\) |
2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[]$ |
12600.i1 |
12600bi1 |
12600.i |
12600bi |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.664406$ |
$8232302592/214375$ |
$1.12346$ |
$4.78190$ |
$[0, 0, 0, -71550, -7198875]$ |
\(y^2=x^3-71550x-7198875\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[]$ |
12600.i2 |
12600bi2 |
12600.i |
12600bi |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$2.010979$ |
$2963088/2941225$ |
$1.23942$ |
$5.02442$ |
$[0, 0, 0, 12825, -23145750]$ |
\(y^2=x^3+12825x-23145750\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
12600.j1 |
12600bb1 |
12600.j |
12600bb |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{9} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$4.045002103$ |
$1$ |
|
$3$ |
$20480$ |
$1.180521$ |
$78608/21$ |
$0.75113$ |
$4.01358$ |
$[0, 0, 0, -6375, -143750]$ |
\(y^2=x^3-6375x-143750\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(299, 4968)]$ |
12600.j2 |
12600bb2 |
12600.j |
12600bb |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{9} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.022501051$ |
$1$ |
|
$5$ |
$40960$ |
$1.527096$ |
$318028/441$ |
$0.86148$ |
$4.34379$ |
$[0, 0, 0, 16125, -931250]$ |
\(y^2=x^3+16125x-931250\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(71, 756)]$ |
12600.k1 |
12600ba1 |
12600.k |
12600ba |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.668287467$ |
$1$ |
|
$5$ |
$36864$ |
$1.485983$ |
$12692020761488/9261$ |
$1.00088$ |
$4.99258$ |
$[0, 0, 0, -138855, 19915450]$ |
\(y^2=x^3-138855x+19915450\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(210, 130)]$ |
12600.k2 |
12600ba2 |
12600.k |
12600ba |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{10} \cdot 3^{12} \cdot 5^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.334143733$ |
$1$ |
|
$7$ |
$73728$ |
$1.832556$ |
$-3111705953492/85766121$ |
$1.00161$ |
$4.99544$ |
$[0, 0, 0, -137955, 20186350]$ |
\(y^2=x^3-137955x+20186350\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(-25, 4860)]$ |
12600.l1 |
12600n1 |
12600.l |
12600n |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.292517$ |
$172800/343$ |
$1.09175$ |
$4.06785$ |
$[0, 0, 0, 5625, -253125]$ |
\(y^2=x^3+5625x-253125\) |
14.2.0.a.1 |
$[]$ |
12600.m1 |
12600ch1 |
12600.m |
12600ch |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28800$ |
$1.351585$ |
$-6288640/16807$ |
$0.89388$ |
$4.19639$ |
$[0, 0, 0, -6375, 464375]$ |
\(y^2=x^3-6375x+464375\) |
14.2.0.a.1 |
$[]$ |
12600.n1 |
12600m3 |
12600.n |
12600m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.882214$ |
$7080974546692/189$ |
$1.03534$ |
$5.58899$ |
$[0, 0, 0, -907275, -332626250]$ |
\(y^2=x^3-907275x-332626250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 42.6.0.a.1, $\ldots$ |
$[]$ |
12600.n2 |
12600m4 |
12600.n |
12600m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{18} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.882214$ |
$6522128932/3720087$ |
$1.09944$ |
$4.84864$ |
$[0, 0, 0, -88275, 1210750]$ |
\(y^2=x^3-88275x+1210750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 40.12.0-4.c.1.5, $\ldots$ |
$[]$ |
12600.n3 |
12600m2 |
12600.n |
12600m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.535641$ |
$6940769488/35721$ |
$0.97939$ |
$4.70840$ |
$[0, 0, 0, -56775, -5183750]$ |
\(y^2=x^3-56775x-5183750\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 28.12.0.a.1, 60.24.0-12.b.1.1, $\ldots$ |
$[]$ |
12600.n4 |
12600m1 |
12600.n |
12600m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.189068$ |
$-2725888/64827$ |
$1.07980$ |
$3.98023$ |
$[0, 0, 0, -1650, -167375]$ |
\(y^2=x^3-1650x-167375\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
12600.o1 |
12600bs3 |
12600.o |
12600bs |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{7} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$4.650975588$ |
$1$ |
|
$3$ |
$49152$ |
$1.743650$ |
$15267472418/36015$ |
$0.93614$ |
$5.01214$ |
$[0, 0, 0, -147675, -21798250]$ |
\(y^2=x^3-147675x-21798250\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.bb.1.7, 120.24.0.?, 840.48.0.? |
$[(-226, 182)]$ |
12600.o2 |
12600bs2 |
12600.o |
12600bs |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$2.325487794$ |
$1$ |
|
$9$ |
$24576$ |
$1.397078$ |
$19307236/11025$ |
$1.14460$ |
$4.23195$ |
$[0, 0, 0, -12675, -63250]$ |
\(y^2=x^3-12675x-63250\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.a.1.6, 120.24.0.?, 420.24.0.?, $\ldots$ |
$[(-10, 250)]$ |
12600.o3 |
12600bs1 |
12600.o |
12600bs |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{7} \cdot 7 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$1.162743897$ |
$1$ |
|
$13$ |
$12288$ |
$1.050503$ |
$20720464/105$ |
$0.82444$ |
$4.09260$ |
$[0, 0, 0, -8175, 283250]$ |
\(y^2=x^3-8175x+283250\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.bb.1.15, 120.24.0.?, 210.6.0.?, $\ldots$ |
$[(49, 18)]$ |
12600.o4 |
12600bs4 |
12600.o |
12600bs |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{11} \cdot 3^{10} \cdot 5^{10} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$840$ |
$48$ |
$0$ |
$4.650975588$ |
$1$ |
|
$3$ |
$49152$ |
$1.743650$ |
$604223422/354375$ |
$1.00382$ |
$4.67008$ |
$[0, 0, 0, 50325, -504250]$ |
\(y^2=x^3+50325x-504250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.v.1.7, 120.24.0.?, $\ldots$ |
$[(2510, 126250)]$ |
12600.p1 |
12600k2 |
12600.p |
12600k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.119356$ |
$3543122/49$ |
$1.08036$ |
$4.12579$ |
$[0, 0, 0, -9075, 328750]$ |
\(y^2=x^3-9075x+328750\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
12600.p2 |
12600k1 |
12600.p |
12600k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.772782$ |
$-4/7$ |
$1.03482$ |
$3.45082$ |
$[0, 0, 0, -75, 13750]$ |
\(y^2=x^3-75x+13750\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
12600.q1 |
12600l4 |
12600.q |
12600l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.966499$ |
$5633270409316/14175$ |
$0.97610$ |
$5.56477$ |
$[0, 0, 0, -840675, 296680750]$ |
\(y^2=x^3-840675x+296680750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 40.12.0-4.c.1.5, $\ldots$ |
$[]$ |
12600.q2 |
12600l3 |
12600.q |
12600l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{14} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.966499$ |
$30534944836/8203125$ |
$0.94823$ |
$5.01214$ |
$[0, 0, 0, -147675, -15988250]$ |
\(y^2=x^3-147675x-15988250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 42.6.0.a.1, $\ldots$ |
$[]$ |
12600.q3 |
12600l2 |
12600.q |
12600l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.619925$ |
$5702413264/275625$ |
$0.90690$ |
$4.68759$ |
$[0, 0, 0, -53175, 4518250]$ |
\(y^2=x^3-53175x+4518250\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 28.12.0.a.1, 60.24.0-12.b.1.1, $\ldots$ |
$[]$ |
12600.q4 |
12600l1 |
12600.q |
12600l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.273352$ |
$4499456/180075$ |
$0.98678$ |
$4.08435$ |
$[0, 0, 0, 1950, 273625]$ |
\(y^2=x^3+1950x+273625\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
12600.r1 |
12600z1 |
12600.r |
12600z |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.177061683$ |
$1$ |
|
$2$ |
$43200$ |
$1.431501$ |
$-10303010/49$ |
$0.87392$ |
$4.58064$ |
$[0, 0, 0, -37875, 2848750]$ |
\(y^2=x^3-37875x+2848750\) |
8.2.0.a.1 |
$[(114, 112)]$ |
12600.s1 |
12600x1 |
12600.s |
12600x |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$2.049407369$ |
$1$ |
|
$2$ |
$28800$ |
$1.384094$ |
$1024/343$ |
$1.00277$ |
$4.22737$ |
$[0, 0, 0, 1500, -537500]$ |
\(y^2=x^3+1500x-537500\) |
70.2.0.a.1 |
$[(150, 1750)]$ |
12600.t1 |
12600y1 |
12600.t |
12600y |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{16} \cdot 5^{8} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$2.010367684$ |
$1$ |
|
$2$ |
$38400$ |
$1.615644$ |
$-88218880/413343$ |
$0.94844$ |
$4.52716$ |
$[0, 0, 0, -15375, -2213125]$ |
\(y^2=x^3-15375x-2213125\) |
14.2.0.a.1 |
$[(175, 675)]$ |
12600.u1 |
12600a1 |
12600.u |
12600a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.373526261$ |
$1$ |
|
$7$ |
$18432$ |
$1.115099$ |
$8232302592/214375$ |
$1.12346$ |
$4.08373$ |
$[0, 0, 0, -7950, 266625]$ |
\(y^2=x^3-7950x+266625\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[(60, 75)]$ |
12600.u2 |
12600a2 |
12600.u |
12600a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$2.747052522$ |
$1$ |
|
$5$ |
$36864$ |
$1.461672$ |
$2963088/2941225$ |
$1.23942$ |
$4.32625$ |
$[0, 0, 0, 1425, 857250]$ |
\(y^2=x^3+1425x+857250\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(-65, 700)]$ |
12600.v1 |
12600bp2 |
12600.v |
12600bp |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$5.363905645$ |
$1$ |
|
$3$ |
$46080$ |
$1.524750$ |
$208974222/117649$ |
$1.19702$ |
$4.39532$ |
$[0, 0, 0, -21195, 195750]$ |
\(y^2=x^3-21195x+195750\) |
2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[(-146, 422)]$ |
12600.v2 |
12600bp1 |
12600.v |
12600bp |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$2.681952822$ |
$1$ |
|
$5$ |
$23040$ |
$1.178177$ |
$172974204/343$ |
$1.13031$ |
$4.30188$ |
$[0, 0, 0, -15795, 762750]$ |
\(y^2=x^3-15795x+762750\) |
2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[(70, 10)]$ |
12600.w1 |
12600bt1 |
12600.w |
12600bt |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1.720196110$ |
$1$ |
|
$2$ |
$5376$ |
$0.387852$ |
$-1250/21$ |
$0.95840$ |
$2.96229$ |
$[0, 0, 0, -75, -1370]$ |
\(y^2=x^3-75x-1370\) |
168.2.0.? |
$[(14, 18)]$ |
12600.x1 |
12600bu1 |
12600.x |
12600bu |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{14} \cdot 5^{2} \cdot 7^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$3.226887109$ |
$1$ |
|
$2$ |
$30720$ |
$1.277008$ |
$69683121920/110270727$ |
$0.99318$ |
$4.03551$ |
$[0, 0, 0, 5685, -217285]$ |
\(y^2=x^3+5685x-217285\) |
14.2.0.a.1 |
$[(49, 423)]$ |
12600.y1 |
12600o1 |
12600.y |
12600o |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$0.320150$ |
$-6288640/567$ |
$0.83142$ |
$3.00613$ |
$[0, 0, 0, -255, -1685]$ |
\(y^2=x^3-255x-1685\) |
14.2.0.a.1 |
$[]$ |
12600.z1 |
12600bv3 |
12600.z |
12600bv |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{10} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$2.171051480$ |
$1$ |
|
$5$ |
$49152$ |
$1.629738$ |
$10262905636/13125$ |
$1.09479$ |
$4.89666$ |
$[0, 0, 0, -102675, -12649250]$ |
\(y^2=x^3-102675x-12649250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 42.6.0.a.1, $\ldots$ |
$[(-181, 72)]$ |
12600.z2 |
12600bv4 |
12600.z |
12600bv |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{7} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$2.171051480$ |
$1$ |
|
$5$ |
$49152$ |
$1.629738$ |
$4108974916/36015$ |
$0.91688$ |
$4.79971$ |
$[0, 0, 0, -75675, 7951750]$ |
\(y^2=x^3-75675x+7951750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.3, $\ldots$ |
$[(219, 1372)]$ |
12600.z3 |
12600bv2 |
12600.z |
12600bv |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1.085525740$ |
$1$ |
|
$13$ |
$24576$ |
$1.283165$ |
$20720464/11025$ |
$0.88986$ |
$4.09260$ |
$[0, 0, 0, -8175, -80750]$ |
\(y^2=x^3-8175x-80750\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.2, 60.24.0-60.a.1.3, $\ldots$ |
$[(-55, 450)]$ |