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 |
40362.o1 |
40362s2 |
40362.o |
40362s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 31^{2} \) |
\( 2^{17} \cdot 3 \cdot 7^{2} \cdot 31^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5208$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$67995648$ |
$4.437943$ |
$1020031373094940556919127/19267584$ |
$1.07296$ |
$8.12659$ |
$[1, 0, 1, -62476259577, -6010644200861540]$ |
\(y^2+xy+y=x^3-62476259577x-6010644200861540\) |
2.3.0.a.1, 168.6.0.?, 744.6.0.?, 868.6.0.?, 5208.12.0.? |
$[]$ |
80852.a1 |
80852a1 |
80852.a |
80852a |
$2$ |
$2$ |
\( 2^{2} \cdot 17 \cdot 29 \cdot 41 \) |
\( 2^{4} \cdot 17 \cdot 29^{3} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$161704$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$834912$ |
$2.106621$ |
$1257535355500536327159808/16999133$ |
$0.97526$ |
$5.15592$ |
$[0, -1, 0, -5666377, -5189772498]$ |
\(y^2=x^3-x^2-5666377x-5189772498\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 40426.6.0.?, 80852.24.0.?, $\ldots$ |
$[]$ |
81498.x1 |
81498x2 |
81498.x |
81498x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 47 \) |
\( 2^{2} \cdot 3 \cdot 17^{10} \cdot 47^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$564$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$24477696$ |
$3.538776$ |
$16890809037822478057344625/2213974668$ |
$1.02121$ |
$6.64007$ |
$[1, 0, 0, -1544804133, -23370103724331]$ |
\(y^2+xy=x^3-1544804133x-23370103724331\) |
2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.? |
$[]$ |
93396.c2 |
93396c2 |
93396.c |
93396c |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 43 \cdot 181 \) |
\( - 2^{8} \cdot 3 \cdot 43 \cdot 181^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$93396$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$2996352$ |
$2.371426$ |
$-3332526220800915803728/4535875854193449$ |
$0.97893$ |
$4.81498$ |
$[0, 1, 0, -1975892, -1070952780]$ |
\(y^2=x^3+x^2-1975892x-1070952780\) |
2.3.0.a.1, 516.6.0.?, 724.6.0.?, 93396.12.0.? |
$[]$ |
99586.e2 |
99586c2 |
99586.e |
99586c |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 29 \cdot 101 \) |
\( - 2^{3} \cdot 17^{10} \cdot 29^{4} \cdot 101 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$13736$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$17890560$ |
$2.979389$ |
$-1701751321201432102348591369/1152106338978003088552$ |
$0.99665$ |
$5.44824$ |
$[1, 1, 0, -24872768, -47783988280]$ |
\(y^2+xy=x^3+x^2-24872768x-47783988280\) |
2.3.0.a.1, 68.6.0.c.1, 808.6.0.?, 13736.12.0.? |
$[]$ |
100920.h2 |
100920b2 |
100920.h |
100920b |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 29^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 5^{18} \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3480$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$261918720$ |
$4.785454$ |
$-14200524355669630522/926971435546875$ |
$1.05333$ |
$7.12866$ |
$[0, -1, 0, -15625390056, -793048867161300]$ |
\(y^2=x^3-x^2-15625390056x-793048867161300\) |
2.3.0.a.1, 120.6.0.?, 580.6.0.?, 696.6.0.?, 3480.12.0.? |
$[]$ |
101478.k1 |
101478k2 |
101478.k |
101478k |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 13 \cdot 1301 \) |
\( - 2^{4} \cdot 3 \cdot 13 \cdot 1301^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$710346$ |
$96$ |
$2$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$69895168$ |
$4.014175$ |
$-4102007684809181687432274264918049/3936639679171948631439024$ |
$1.01804$ |
$6.71404$ |
$[1, 0, 0, -3334962226, -74128716508108]$ |
\(y^2+xy=x^3-3334962226x-74128716508108\) |
7.48.0-7.a.2.2, 101478.2.0.?, 710346.96.2.? |
$[]$ |
101990.t1 |
101990l2 |
101990.t |
101990l |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 31 \cdot 47 \) |
\( 2^{2} \cdot 5^{6} \cdot 7^{3} \cdot 31^{2} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$40796$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$42835968$ |
$3.681900$ |
$17160734875854474851815629487970209/968267562500$ |
$1.00647$ |
$6.83521$ |
$[1, 1, 1, -5373666666, -151621438185037]$ |
\(y^2+xy+y=x^3+x^2-5373666666x-151621438185037\) |
2.3.0.a.1, 124.6.0.?, 658.6.0.?, 40796.12.0.? |
$[]$ |
122550.o1 |
122550d4 |
122550.o |
122550d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \cdot 43 \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{14} \cdot 19^{3} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$32680$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$739639296$ |
$4.934425$ |
$2695411376533589106170675619466398289/2123546400000000$ |
$1.08691$ |
$7.98387$ |
$[1, 1, 0, -724837171525, -237525013403901875]$ |
\(y^2+xy=x^3+x^2-724837171525x-237525013403901875\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.2, 6536.24.0.?, $\ldots$ |
$[]$ |
136955.p1 |
136955p1 |
136955.p |
136955p |
$1$ |
$1$ |
\( 5 \cdot 7^{2} \cdot 13 \cdot 43 \) |
\( 5^{13} \cdot 7^{11} \cdot 13^{7} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$39130$ |
$2$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$660441600$ |
$4.903992$ |
$158049173909990368158759349456896/102355006292952921142578125$ |
$1.07536$ |
$7.25568$ |
$[0, 0, 1, -55193201483, -4988079329084287]$ |
\(y^2+y=x^3-55193201483x-4988079329084287\) |
39130.2.0.? |
$[]$ |
145794.e1 |
145794bj1 |
145794.e |
145794bj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 47^{2} \) |
\( - 2^{27} \cdot 3^{5} \cdot 11^{6} \cdot 47^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$5730600960$ |
$6.104675$ |
$-396535398179707820597372045631529/57779298861318144$ |
$1.08302$ |
$8.90344$ |
$[1, 1, 0, -44033212507818, -112465350544613709996]$ |
\(y^2+xy=x^3+x^2-44033212507818x-112465350544613709996\) |
24.2.0.b.1 |
$[]$ |
146358.e1 |
146358h2 |
146358.e |
146358h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 47 \cdot 173 \) |
\( 2^{3} \cdot 3^{11} \cdot 47^{2} \cdot 173^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$195144$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$642816000$ |
$4.771088$ |
$17108959798978178565025730315496247921/22234649402232$ |
$1.04248$ |
$7.76238$ |
$[1, -1, 0, -483143128695, -129259186630316987]$ |
\(y^2+xy=x^3-x^2-483143128695x-129259186630316987\) |
2.3.0.a.1, 188.6.0.?, 4152.6.0.?, 195144.12.0.? |
$[]$ |
147438.d1 |
147438f4 |
147438.d |
147438f |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 8191 \) |
\( 2^{9} \cdot 3^{6} \cdot 8191 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$196584$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$11649024$ |
$2.902447$ |
$1237486750898925353924427777/4193792$ |
$1.12427$ |
$5.79561$ |
$[1, -1, 0, -201302016, -1099259983360]$ |
\(y^2+xy=x^3-x^2-201302016x-1099259983360\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 65528.24.0.?, $\ldots$ |
$[]$ |
149093.d1 |
149093d2 |
149093.d |
149093d |
$2$ |
$7$ |
\( 7 \cdot 19^{2} \cdot 59 \) |
\( - 7 \cdot 19^{8} \cdot 59^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.16.0.2 |
7B.2.3 |
$31388$ |
$96$ |
$2$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$22120560$ |
$3.188728$ |
$-4070235024149625/17420560393733$ |
$0.95535$ |
$5.17327$ |
$[1, -1, 0, -8550172, -27881021887]$ |
\(y^2+xy=x^3-x^2-8550172x-27881021887\) |
7.16.0-7.a.1.1, 133.48.0.?, 1652.32.0.?, 31388.96.2.? |
$[]$ |
156975.be1 |
156975bj3 |
156975.be |
156975bj |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( 3^{11} \cdot 5^{7} \cdot 7^{28} \cdot 13^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$3837689856$ |
$5.872231$ |
$3793446595669889442060727742567866609/1583665542016871554168203422727945$ |
$1.04503$ |
$7.84723$ |
$[1, 1, 0, -812288109775, 148732743555517000]$ |
\(y^2+xy=x^3+x^2-812288109775x+148732743555517000\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 460.12.0.?, $\ldots$ |
$[]$ |
156975.be4 |
156975bj4 |
156975.be |
156975bj |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 3^{44} \cdot 5^{10} \cdot 7^{7} \cdot 13^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$3837689856$ |
$5.872231$ |
$42721164630497424028798024923311/1970225999186268898121081917325625$ |
$1.08702$ |
$7.83818$ |
$[1, 1, 0, 18207338475, -266946004702473750]$ |
\(y^2+xy=x^3+x^2+18207338475x-266946004702473750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 140.12.0.?, 460.12.0.?, $\ldots$ |
$[]$ |
161616.w1 |
161616be4 |
161616.w |
161616be |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 2^{27} \cdot 3^{5} \cdot 7^{4} \cdot 13^{3} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$1625702400$ |
$5.406380$ |
$89826692480607748349458339936647568993/147534034220638664018853888$ |
$1.05622$ |
$7.98040$ |
$[0, -1, 0, -1492842125152, -702050943666399488]$ |
\(y^2=x^3-x^2-1492842125152x-702050943666399488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.bb.1.6, 156.12.0.?, $\ldots$ |
$[]$ |
175311.c1 |
175311c1 |
175311.c |
175311c |
$1$ |
$1$ |
\( 3^{3} \cdot 43 \cdot 151 \) |
\( 3^{3} \cdot 43^{4} \cdot 151^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$906$ |
$2$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$89774208$ |
$3.799545$ |
$1408577214698566887684898401693696/11770764321751$ |
$1.05183$ |
$6.59447$ |
$[0, 0, 1, -7006055451, -225713985374565]$ |
\(y^2+y=x^3-7006055451x-225713985374565\) |
906.2.0.? |
$[]$ |
175600.g1 |
175600d2 |
175600.g |
175600d |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 439 \) |
\( 2^{41} \cdot 5^{8} \cdot 439^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$3512$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$2574286848$ |
$5.828300$ |
$40564819191754949205032748647259113881/2586657475788800$ |
$1.06059$ |
$8.65938$ |
$[0, 1, 0, -28633115303008, -58972710204604656012]$ |
\(y^2=x^3+x^2-28633115303008x-58972710204604656012\) |
2.3.0.a.1, 8.6.0.b.1, 1756.6.0.?, 3512.12.0.? |
$[]$ |
175600.g2 |
175600d1 |
175600.g |
175600d |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 439 \) |
\( - 2^{70} \cdot 5^{10} \cdot 439 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$3512$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$1287143424$ |
$5.481728$ |
$-9903520253547137460663853849577881/79083209456625909760000$ |
$1.04766$ |
$7.97059$ |
$[0, 1, 0, -1789569703008, -921449048047856012]$ |
\(y^2=x^3+x^2-1789569703008x-921449048047856012\) |
2.3.0.a.1, 8.6.0.c.1, 878.6.0.?, 3512.12.0.? |
$[]$ |
186320.k1 |
186320i1 |
186320.k |
186320i |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 17 \cdot 137 \) |
\( 2^{4} \cdot 5^{7} \cdot 17 \cdot 137 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$93160$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$5824896$ |
$2.641682$ |
$1542121225672503264739999744/181953125$ |
$1.00749$ |
$5.38726$ |
$[0, -1, 0, -60651041, -181784650384]$ |
\(y^2=x^3-x^2-60651041x-181784650384\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 23290.6.0.?, 46580.24.0.?, $\ldots$ |
$[]$ |
198835.h4 |
198835g4 |
198835.h |
198835g |
$4$ |
$4$ |
\( 5 \cdot 7 \cdot 13 \cdot 19 \cdot 23 \) |
\( - 5 \cdot 7^{2} \cdot 13^{3} \cdot 19^{20} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$227240$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$896716800$ |
$5.155357$ |
$-230109400419856919978042169591527383641/465367442451897429299770709162095$ |
$1.02200$ |
$7.24045$ |
$[1, -1, 0, -127664519864, -17587745939901357]$ |
\(y^2+xy=x^3-x^2-127664519864x-17587745939901357\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 152.12.0.?, 760.24.0.?, $\ldots$ |
$[]$ |
207909.d3 |
207909d2 |
207909.d |
207909d |
$4$ |
$4$ |
\( 3^{2} \cdot 13 \cdot 1777 \) |
\( 3^{20} \cdot 13^{2} \cdot 1777^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$277212$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$2$ |
$30965760$ |
$3.127876$ |
$528200294518774658194639057/2552461066040769$ |
$0.97490$ |
$5.56341$ |
$[1, -1, 0, -151565661, -718168621928]$ |
\(y^2+xy=x^3-x^2-151565661x-718168621928\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 156.24.0.?, 7108.12.0.?, $\ldots$ |
$[]$ |
212097.h1 |
212097g2 |
212097.h |
212097g |
$2$ |
$7$ |
\( 3 \cdot 19 \cdot 61^{2} \) |
\( - 3 \cdot 19^{7} \cdot 61^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.16.0.2 |
7B.2.3 |
$97356$ |
$96$ |
$2$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$30129120$ |
$3.294361$ |
$-31290596607625/2681615217$ |
$0.93336$ |
$5.22629$ |
$[1, 0, 1, -37853811, -96053852813]$ |
\(y^2+xy+y=x^3-37853811x-96053852813\) |
7.16.0-7.a.1.1, 228.2.0.?, 427.48.0.?, 1596.32.0.?, 97356.96.2.? |
$[]$ |
234402.i4 |
234402i4 |
234402.i |
234402i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 5581 \) |
\( - 2^{2} \cdot 3 \cdot 7^{20} \cdot 5581 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$937608$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$18686720$ |
$2.884270$ |
$-18679322431986547877621713/5343847658483670930972$ |
$0.95962$ |
$4.73855$ |
$[1, 0, 0, -5527717, -6115416643]$ |
\(y^2+xy=x^3-5527717x-6115416643\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.ba.1.12, 33486.6.0.?, 66972.24.0.?, $\ldots$ |
$[]$ |
237910.d1 |
237910d2 |
237910.d |
237910d |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 37 \cdot 643 \) |
\( 2^{5} \cdot 5 \cdot 37 \cdot 643^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$6661480$ |
$96$ |
$2$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$3779805120$ |
$5.268379$ |
$1088309881108300742016838020617212688383521/269028640626960381689440$ |
$1.04181$ |
$7.81874$ |
$[1, -1, 1, -2142938068797, -1207431080854081371]$ |
\(y^2+xy+y=x^3-x^2-2142938068797x-1207431080854081371\) |
7.48.0-7.a.2.2, 951640.2.0.?, 6661480.96.2.? |
$[]$ |
257635.h1 |
257635h1 |
257635.h |
257635h |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 17 \cdot 433 \) |
\( - 5^{5} \cdot 7 \cdot 17^{7} \cdot 433^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$515270$ |
$2$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$257056800$ |
$3.983326$ |
$-375313265890181764778292988063744/136624942792115711051321875$ |
$0.98530$ |
$6.02008$ |
$[0, -1, 1, -1502761526, 22430009941291]$ |
\(y^2+y=x^3-x^2-1502761526x+22430009941291\) |
515270.2.0.? |
$[]$ |
281280.u1 |
281280u4 |
281280.u |
281280u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 293 \) |
\( 2^{19} \cdot 3 \cdot 5^{5} \cdot 293 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$35160$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$64143360$ |
$3.454666$ |
$2781804300077882884219200001/5493750$ |
$1.02350$ |
$6.03084$ |
$[0, -1, 0, -1875200001, -31254375099999]$ |
\(y^2=x^3-x^2-1875200001x-31254375099999\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 120.24.0.?, 1172.12.0.?, $\ldots$ |
$[]$ |
282360.g1 |
282360g1 |
282360.g |
282360g |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 181 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{5} \cdot 13^{11} \cdot 181 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$94120$ |
$2$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$270842880$ |
$4.117889$ |
$-6962962131069416738794516492658/6650824832797165678125$ |
$1.00797$ |
$6.26589$ |
$[0, -1, 0, -5052039736, -138211225280564]$ |
\(y^2=x^3-x^2-5052039736x-138211225280564\) |
94120.2.0.? |
$[]$ |
285175.e1 |
285175e1 |
285175.e |
285175e |
$1$ |
$1$ |
\( 5^{2} \cdot 11 \cdot 17 \cdot 61 \) |
\( - 5^{29} \cdot 11 \cdot 17 \cdot 61 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114070$ |
$2$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$1019433600$ |
$4.365990$ |
$-90990176178286074800731373236224/135982036590576171875$ |
$1.02026$ |
$6.62733$ |
$[0, 0, 1, -23425935325, -1380045877375844]$ |
\(y^2+y=x^3-23425935325x-1380045877375844\) |
114070.2.0.? |
$[]$ |
327015.bh1 |
327015bh2 |
327015.bh |
327015bh |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 43 \) |
\( 3^{9} \cdot 5 \cdot 13^{10} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$222953472$ |
$4.101669$ |
$49179101301788334621003/902722250212445$ |
$0.99050$ |
$6.10556$ |
$[1, -1, 0, -3482860614, -79111676341567]$ |
\(y^2+xy=x^3-x^2-3482860614x-79111676341567\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
334170.e3 |
334170e2 |
334170.e |
334170e |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 47 \cdot 79 \) |
\( 2^{28} \cdot 3^{8} \cdot 5^{10} \cdot 47^{4} \cdot 79^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4740$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$2$ |
$20485570560$ |
$6.218605$ |
$78886378050549204008845716625793514700800001/718502106468188160000000000$ |
$1.05451$ |
$8.46488$ |
$[1, -1, 0, -80414668800000, -277556241877553905664]$ |
\(y^2+xy=x^3-x^2-80414668800000x-277556241877553905664\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.b.1.3, 316.12.0.?, $\ldots$ |
$[]$ |
334170.e4 |
334170e1 |
334170.e |
334170e |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 47 \cdot 79 \) |
\( - 2^{56} \cdot 3^{7} \cdot 5^{5} \cdot 47^{2} \cdot 79^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9480$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$10242785280$ |
$5.872025$ |
$-19259327792038285353390395765943329095681/58123949211499538308241817600000$ |
$1.04317$ |
$7.81094$ |
$[1, -1, 0, -5025913159680, -4336821933493452800]$ |
\(y^2+xy=x^3-x^2-5025913159680x-4336821933493452800\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
339762.m1 |
339762m2 |
339762.m |
339762m |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 17 \cdot 3331 \) |
\( 2 \cdot 3^{2} \cdot 17 \cdot 3331^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$3171112$ |
$96$ |
$2$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$306252352$ |
$4.169670$ |
$3314059238965717412166686272528609/1392335368399818889959574566$ |
$1.00166$ |
$6.06026$ |
$[1, 0, 0, -3106076766, -66605543437698]$ |
\(y^2+xy=x^3-3106076766x-66605543437698\) |
7.48.0-7.a.2.2, 453016.2.0.?, 3171112.96.2.? |
$[]$ |
344640.cq1 |
344640cq2 |
344640.cq |
344640cq |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 359 \) |
\( 2^{22} \cdot 3^{3} \cdot 5^{9} \cdot 359^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$21540$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$955514880$ |
$4.731361$ |
$10077695949751488083514887953731721/108743343750000$ |
$1.05051$ |
$7.11925$ |
$[0, 1, 0, -287999999521, -59489120049436321]$ |
\(y^2=x^3+x^2-287999999521x-59489120049436321\) |
2.3.0.a.1, 60.6.0.a.1, 1436.6.0.?, 21540.12.0.? |
$[]$ |
353535.ba4 |
353535ba4 |
353535.ba |
353535ba |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 37 \) |
\( - 3^{5} \cdot 5 \cdot 7^{10} \cdot 13 \cdot 37^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$404040$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$1102970880$ |
$4.726753$ |
$364417400553216395602949062631/249650522364316300789411395$ |
$1.01242$ |
$6.24180$ |
$[1, 1, 0, 7291572718, -102739133548029]$ |
\(y^2+xy=x^3+x^2+7291572718x-102739133548029\) |
2.3.0.a.1, 4.6.0.c.1, 364.12.0.?, 390.6.0.?, 420.12.0.?, $\ldots$ |
$[]$ |
373498.j1 |
373498j2 |
373498.j |
373498j |
$2$ |
$7$ |
\( 2 \cdot 43^{2} \cdot 101 \) |
\( 2^{6} \cdot 43^{8} \cdot 101^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.16.0.2 |
7B.2.3 |
$60802$ |
$96$ |
$2$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$1847754720$ |
$5.093849$ |
$440233344237262904278961121/6861666253484864$ |
$1.13809$ |
$7.12659$ |
$[1, -1, 1, -359668404847, -83023506252744137]$ |
\(y^2+xy+y=x^3-x^2-359668404847x-83023506252744137\) |
7.16.0-7.a.1.1, 202.2.0.?, 301.48.0.?, 1414.32.0.?, 60802.96.2.? |
$[]$ |
381990.n2 |
381990n3 |
381990.n |
381990n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 107 \) |
\( 2 \cdot 3 \cdot 5^{6} \cdot 7 \cdot 17^{20} \cdot 107^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$3286794240$ |
$5.309860$ |
$61136251620198352058244397672688218849/30536221652152162937140453963406250$ |
$1.03132$ |
$6.76925$ |
$[1, 1, 1, -82071372926, 3348387761597873]$ |
\(y^2+xy+y=x^3+x^2-82071372926x+3348387761597873\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 28.12.0-4.c.1.1, 136.12.0.?, $\ldots$ |
$[]$ |
385910.c1 |
385910c1 |
385910.c |
385910c |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 37 \cdot 149 \) |
\( 2^{32} \cdot 5^{10} \cdot 7^{12} \cdot 37 \cdot 149^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.3 |
2B |
$1543640$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$42919833600$ |
$6.173332$ |
$1707053917818005411484594347003768568584063401/71055371444982548812267520000000000$ |
$1.03371$ |
$8.09673$ |
$[1, 1, 0, -24898575955162, -47820042245645129964]$ |
\(y^2+xy=x^3+x^2-24898575955162x-47820042245645129964\) |
2.3.0.a.1, 4.6.0.b.1, 56.12.0-4.b.1.2, 11026.6.0.?, 22052.12.0.?, $\ldots$ |
$[]$ |
389025.ca1 |
389025ca4 |
389025.ca |
389025ca |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 3^{12} \cdot 5^{26} \cdot 7^{5} \cdot 13 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$5691801600$ |
$5.611008$ |
$465029349759637734576061259286753961/288612255191802978515625$ |
$1.03571$ |
$7.64297$ |
$[1, -1, 0, -3631628385567, -2663790515655182784]$ |
\(y^2+xy=x^3-x^2-3631628385567x-2663790515655182784\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 760.12.0.?, 1140.12.0.?, $\ldots$ |
$[]$ |
403560.q6 |
403560q6 |
403560.q |
403560q |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 19 \cdot 59 \) |
\( - 2^{11} \cdot 3^{11} \cdot 5^{6} \cdot 19^{16} \cdot 59 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$14160$ |
$192$ |
$1$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$3641180160$ |
$5.393234$ |
$3195377910069018641077373444158/64615383536234135641289015625$ |
$1.04219$ |
$6.81590$ |
$[0, 0, 0, 35071310877, 14728204564069822]$ |
\(y^2=x^3+35071310877x+14728204564069822\) |
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.1.4, $\ldots$ |
$[]$ |
405360.e2 |
405360e2 |
405360.e |
405360e |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 563 \) |
\( - 2^{12} \cdot 3^{36} \cdot 5^{5} \cdot 563^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$33780$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$1187020800$ |
$4.680489$ |
$-527050970286251538932658036721/203940957027839996503125$ |
$1.07047$ |
$6.45475$ |
$[0, 0, 0, -24232903923, -1452450866996878]$ |
\(y^2=x^3-24232903923x-1452450866996878\) |
2.3.0.a.1, 20.6.0.a.1, 6756.6.0.?, 33780.12.0.? |
$[]$ |
405678.e3 |
405678e3 |
405678.e |
405678e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 743 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{3} \cdot 13^{20} \cdot 743 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$1622712$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$1084907520$ |
$4.612602$ |
$-15853825695315873811240858994713/8369388310575623367477305172672$ |
$1.03240$ |
$6.09123$ |
$[1, 1, 0, -523363529, -139265510617467]$ |
\(y^2+xy=x^3+x^2-523363529x-139265510617467\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 104.12.0.?, 728.24.0.?, $\ldots$ |
$[]$ |
406720.cy1 |
406720cy2 |
406720.cy |
406720cy |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 31 \cdot 41 \) |
\( 2^{18} \cdot 5^{11} \cdot 31^{4} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$820$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$873725952$ |
$4.546753$ |
$1984336553059625088578391670441/214200245056277392578125$ |
$1.01570$ |
$6.36732$ |
$[0, -1, 0, -16754977441, -834680890279359]$ |
\(y^2=x^3-x^2-16754977441x-834680890279359\) |
2.3.0.a.1, 10.6.0.a.1, 164.6.0.?, 820.12.0.? |
$[]$ |
409180.a1 |
409180a2 |
409180.a |
409180a |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 41 \cdot 499 \) |
\( 2^{8} \cdot 5^{10} \cdot 41^{3} \cdot 499 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$409180$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$34128000$ |
$3.110069$ |
$2665898910251424831663165904/335855263671875$ |
$0.94871$ |
$5.31620$ |
$[0, -1, 0, -183422796, -956093370904]$ |
\(y^2=x^3-x^2-183422796x-956093370904\) |
2.3.0.a.1, 20.6.0.c.1, 81836.6.0.?, 409180.12.0.? |
$[]$ |
411432.b4 |
411432b3 |
411432.b |
411432b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 31 \cdot 79 \) |
\( - 2^{11} \cdot 3^{48} \cdot 7 \cdot 31^{2} \cdot 79 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.103 |
2B |
$4424$ |
$48$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$1922826240$ |
$5.050781$ |
$-45024251010902838501657765132792386/42390520143671588534215526313$ |
$1.04288$ |
$6.76228$ |
$[0, -1, 0, -94120504352, 11123173234287660]$ |
\(y^2=x^3-x^2-94120504352x+11123173234287660\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 2212.12.0.?, 4424.48.0.? |
$[]$ |
412800.dv1 |
412800dv1 |
412800.dv |
412800dv |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{7} \cdot 3^{2} \cdot 5^{9} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1720$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$42700800$ |
$3.070435$ |
$6002930845132217968864/715563$ |
$1.17966$ |
$5.37352$ |
$[0, 1, 0, -238520958, -1417954464162]$ |
\(y^2=x^3+x^2-238520958x-1417954464162\) |
2.3.0.a.1, 20.6.0.b.1, 344.6.0.?, 1720.12.0.? |
$[]$ |
419520.is2 |
419520is1 |
419520.is |
419520is |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19 \cdot 23 \) |
\( - 2^{80} \cdot 3^{2} \cdot 5 \cdot 19 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$196$ |
$2, 7$ |
$1$ |
$1333248000$ |
$4.960632$ |
$-1095248516670909925403006195052049/2085842527704615412039680$ |
$1.04388$ |
$6.83972$ |
$[0, 1, 0, -137438886465, -19611656794516545]$ |
\(y^2=x^3+x^2-137438886465x-19611656794516545\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[]$ |
437409.h4 |
437409h6 |
437409.h |
437409h |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 53 \cdot 131 \) |
\( - 3^{14} \cdot 7^{24} \cdot 53 \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$2332848$ |
$192$ |
$1$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$698744832$ |
$4.589691$ |
$-10356145183598948594430355297/8727104239447263628236284223$ |
$1.02587$ |
$6.03477$ |
$[1, -1, 0, -408696246, 121396567637839]$ |
\(y^2+xy=x^3-x^2-408696246x+121396567637839\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$ |
$[]$ |
457683.c1 |
457683c2 |
457683.c |
457683c |
$2$ |
$7$ |
\( 3 \cdot 41 \cdot 61^{2} \) |
\( 3 \cdot 41^{7} \cdot 61^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$210084$ |
$96$ |
$2$ |
$1$ |
$196$ |
$2, 7$ |
$0$ |
$734576640$ |
$4.601578$ |
$567405135914265625/584262821643$ |
$1.03936$ |
$6.29040$ |
$[1, 0, 0, -15410709488, -735692111308659]$ |
\(y^2+xy=x^3-15410709488x-735692111308659\) |
7.8.0.a.1, 427.48.0.?, 492.2.0.?, 3444.16.0.?, 210084.96.2.? |
$[]$ |