| 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 |
| 43190.a1 |
43190b2 |
43190.a |
43190b |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{9} \cdot 5^{6} \cdot 7^{6} \cdot 617 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$14808$ |
$16$ |
$0$ |
$1.111217485$ |
$1$ |
|
$4$ |
$202176$ |
$1.610111$ |
$-18873978957685236169/580715464000000$ |
$0.91086$ |
$4.16327$ |
$[1, 0, 1, -55469, -5164824]$ |
\(y^2+xy+y=x^3-55469x-5164824\) |
3.8.0-3.a.1.1, 4936.2.0.?, 14808.16.0.? |
$[(318, 2903)]$ |
| 43190.a2 |
43190b1 |
43190.a |
43190b |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 617^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$14808$ |
$16$ |
$0$ |
$3.333652457$ |
$1$ |
|
$4$ |
$67392$ |
$1.060804$ |
$3445071928362791/2301874107400$ |
$0.88359$ |
$3.35187$ |
$[1, 0, 1, 3146, -26448]$ |
\(y^2+xy+y=x^3+3146x-26448\) |
3.8.0-3.a.1.2, 4936.2.0.?, 14808.16.0.? |
$[(16, 159)]$ |
| 43190.b1 |
43190e1 |
43190.b |
43190e |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{3} \cdot 5^{18} \cdot 7^{2} \cdot 617 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$4936$ |
$2$ |
$0$ |
$0.355147944$ |
$1$ |
|
$2$ |
$741312$ |
$2.127964$ |
$-41644843049165718601/922637939453125000$ |
$0.95303$ |
$4.57649$ |
$[1, 0, 1, -72213, 46807688]$ |
\(y^2+xy+y=x^3-72213x+46807688\) |
4936.2.0.? |
$[(54, 6535)]$ |
| 43190.c1 |
43190a1 |
43190.c |
43190a |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{5} \cdot 5^{5} \cdot 7 \cdot 617 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$172760$ |
$2$ |
$0$ |
$15.51843598$ |
$1$ |
|
$0$ |
$41600$ |
$0.844930$ |
$-71581414466974329/431900000$ |
$0.91956$ |
$3.63612$ |
$[1, -1, 0, -8650, -307500]$ |
\(y^2+xy=x^3-x^2-8650x-307500\) |
172760.2.0.? |
$[(5197307/74, 11592440941/74)]$ |
| 43190.d1 |
43190d1 |
43190.d |
43190d |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2 \cdot 5 \cdot 7^{7} \cdot 617 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$172760$ |
$2$ |
$0$ |
$7.041190278$ |
$1$ |
|
$0$ |
$21504$ |
$0.569348$ |
$-11422548526761/5081260310$ |
$0.89581$ |
$2.87040$ |
$[1, -1, 0, -469, -5085]$ |
\(y^2+xy=x^3-x^2-469x-5085\) |
172760.2.0.? |
$[(1091/2, 34777/2)]$ |
| 43190.e1 |
43190f1 |
43190.e |
43190f |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{7} \cdot 5^{9} \cdot 7^{5} \cdot 617^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$518280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1781640$ |
$2.717743$ |
$-487754906646816354619081/986928523547750000000$ |
$1.05389$ |
$5.25115$ |
$[1, 0, 1, -1639933, 1713908056]$ |
\(y^2+xy+y=x^3-1639933x+1713908056\) |
3.8.0-3.a.1.2, 172760.2.0.?, 518280.16.0.? |
$[]$ |
| 43190.e2 |
43190f2 |
43190.e |
43190f |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{21} \cdot 5^{3} \cdot 7^{15} \cdot 617 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$518280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5344920$ |
$3.267052$ |
$314700137324290484459710919/767884119673361137664000$ |
$0.98816$ |
$5.82590$ |
$[1, 0, 1, 14170692, -36821906694]$ |
\(y^2+xy+y=x^3+14170692x-36821906694\) |
3.8.0-3.a.1.1, 172760.2.0.?, 518280.16.0.? |
$[]$ |
| 43190.f1 |
43190c1 |
43190.f |
43190c |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{7} \cdot 5^{2} \cdot 7^{4} \cdot 617 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$4936$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$37632$ |
$0.537865$ |
$519524563319/4740534400$ |
$0.83527$ |
$2.77969$ |
$[1, 1, 0, 168, -3136]$ |
\(y^2+xy=x^3+x^2+168x-3136\) |
4936.2.0.? |
$[]$ |
| 43190.g1 |
43190s2 |
43190.g |
43190s |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2 \cdot 5 \cdot 7 \cdot 617^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$172760$ |
$96$ |
$2$ |
$12.86926243$ |
$1$ |
|
$0$ |
$6108144$ |
$2.784016$ |
$-226953328047600468451761/2382836194386693393110$ |
$1.09181$ |
$5.31519$ |
$[1, -1, 1, -1270782, -2412118701]$ |
\(y^2+xy+y=x^3-x^2-1270782x-2412118701\) |
7.48.0-7.a.2.2, 172760.96.2.? |
$[(247621/12, 36578569/12)]$ |
| 43190.g2 |
43190s1 |
43190.g |
43190s |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{7} \cdot 5^{7} \cdot 7^{7} \cdot 617 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$172760$ |
$96$ |
$2$ |
$1.838466062$ |
$1$ |
|
$16$ |
$872592$ |
$1.811062$ |
$-289581579184798874961/5081260310000000$ |
$0.93986$ |
$4.41706$ |
$[1, -1, 1, -137832, 20026539]$ |
\(y^2+xy+y=x^3-x^2-137832x+20026539\) |
7.48.0-7.a.1.2, 172760.96.2.? |
$[(97, 2701)]$ |
| 43190.h1 |
43190q1 |
43190.h |
43190q |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2 \cdot 5 \cdot 7 \cdot 617 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$172760$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7752$ |
$-0.392227$ |
$-176558481/43190$ |
$0.68636$ |
$1.81215$ |
$[1, -1, 1, -12, 21]$ |
\(y^2+xy+y=x^3-x^2-12x+21\) |
172760.2.0.? |
$[]$ |
| 43190.i1 |
43190p1 |
43190.i |
43190p |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 617 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2468$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50944$ |
$0.780033$ |
$-101874390302149921/12093200$ |
$0.88189$ |
$3.66918$ |
$[1, 1, 1, -9730, -373473]$ |
\(y^2+xy+y=x^3+x^2-9730x-373473\) |
2468.2.0.? |
$[]$ |
| 43190.j1 |
43190g1 |
43190.j |
43190g |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{3} \cdot 5 \cdot 7^{3} \cdot 617^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$172760$ |
$2$ |
$0$ |
$1.630820520$ |
$1$ |
|
$2$ |
$815040$ |
$2.244308$ |
$-35718324094664888401089/1226817412900798040$ |
$0.98203$ |
$4.87078$ |
$[1, -1, 1, -686103, 225311111]$ |
\(y^2+xy+y=x^3-x^2-686103x+225311111\) |
172760.2.0.? |
$[(-867, 13390)]$ |
| 43190.k1 |
43190i1 |
43190.k |
43190i |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( 2^{10} \cdot 5^{2} \cdot 7^{2} \cdot 617 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$34552$ |
$12$ |
$0$ |
$0.669250426$ |
$1$ |
|
$7$ |
$15680$ |
$0.400047$ |
$1660218096321/773964800$ |
$0.82788$ |
$2.63628$ |
$[1, -1, 1, -247, 719]$ |
\(y^2+xy+y=x^3-x^2-247x+719\) |
2.3.0.a.1, 56.6.0.c.1, 1234.6.0.?, 34552.12.0.? |
$[(17, 26)]$ |
| 43190.k2 |
43190i2 |
43190.k |
43190i |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{5} \cdot 5^{4} \cdot 7 \cdot 617^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$34552$ |
$12$ |
$0$ |
$1.338500852$ |
$1$ |
|
$4$ |
$31360$ |
$0.746620$ |
$73660174154559/53296460000$ |
$0.89635$ |
$2.99160$ |
$[1, -1, 1, 873, 4751]$ |
\(y^2+xy+y=x^3-x^2+873x+4751\) |
2.3.0.a.1, 56.6.0.b.1, 2468.6.0.?, 34552.12.0.? |
$[(1, 74)]$ |
| 43190.l1 |
43190r1 |
43190.l |
43190r |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{19} \cdot 5 \cdot 7 \cdot 617 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$172760$ |
$2$ |
$0$ |
$0.704768327$ |
$1$ |
|
$2$ |
$25536$ |
$0.617724$ |
$16307837343279/11321999360$ |
$0.88591$ |
$2.85034$ |
$[1, -1, 1, 528, -2221]$ |
\(y^2+xy+y=x^3-x^2+528x-2221\) |
172760.2.0.? |
$[(29, 177)]$ |
| 43190.m1 |
43190m2 |
43190.m |
43190m |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( 2^{11} \cdot 5^{2} \cdot 7^{2} \cdot 617^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$34552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$206976$ |
$1.642263$ |
$2249574551450240063841/955072563200$ |
$0.99389$ |
$4.60633$ |
$[1, -1, 1, -272977, -54827199]$ |
\(y^2+xy+y=x^3-x^2-272977x-54827199\) |
2.3.0.a.1, 8.6.0.b.1, 17276.6.0.?, 34552.12.0.? |
$[]$ |
| 43190.m2 |
43190m1 |
43190.m |
43190m |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{22} \cdot 5^{4} \cdot 7 \cdot 617 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$34552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$103488$ |
$1.295691$ |
$-541106281296959841/11321999360000$ |
$0.95786$ |
$3.82896$ |
$[1, -1, 1, -16977, -862399]$ |
\(y^2+xy+y=x^3-x^2-16977x-862399\) |
2.3.0.a.1, 8.6.0.c.1, 8638.6.0.?, 34552.12.0.? |
$[]$ |
| 43190.n1 |
43190n1 |
43190.n |
43190n |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2 \cdot 5^{2} \cdot 7^{8} \cdot 617 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$4936$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$52480$ |
$0.858083$ |
$-241118029063521/177844110850$ |
$0.92329$ |
$3.17970$ |
$[1, -1, 1, -1297, -26781]$ |
\(y^2+xy+y=x^3-x^2-1297x-26781\) |
4936.2.0.? |
$[]$ |
| 43190.o1 |
43190h1 |
43190.o |
43190h |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{7} \cdot 5 \cdot 7 \cdot 617 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$172760$ |
$2$ |
$0$ |
$1.056864359$ |
$1$ |
|
$2$ |
$6832$ |
$-0.079213$ |
$1524845951/2764160$ |
$0.74860$ |
$2.05206$ |
$[1, 0, 0, 24, -64]$ |
\(y^2+xy=x^3+24x-64\) |
172760.2.0.? |
$[(4, 8)]$ |
| 43190.p1 |
43190l1 |
43190.p |
43190l |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2 \cdot 5 \cdot 7 \cdot 617 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$172760$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4232$ |
$-0.431670$ |
$-1/43190$ |
$0.87004$ |
$1.69844$ |
$[1, 0, 0, 0, -10]$ |
\(y^2+xy=x^3-10\) |
172760.2.0.? |
$[]$ |
| 43190.q1 |
43190j1 |
43190.q |
43190j |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2 \cdot 5 \cdot 7^{3} \cdot 617 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$172760$ |
$2$ |
$0$ |
$14.71539261$ |
$1$ |
|
$0$ |
$10320$ |
$0.033608$ |
$-216108018001/2116310$ |
$0.77889$ |
$2.44682$ |
$[1, 0, 0, -125, -553]$ |
\(y^2+xy=x^3-125x-553\) |
172760.2.0.? |
$[(1629077/356, -185134755/356)]$ |
| 43190.r1 |
43190k1 |
43190.r |
43190k |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{3} \cdot 5^{3} \cdot 7^{5} \cdot 617 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$172760$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33480$ |
$0.600811$ |
$-4750104241/10369919000$ |
$0.99262$ |
$2.85919$ |
$[1, 0, 0, -35, -4903]$ |
\(y^2+xy=x^3-35x-4903\) |
172760.2.0.? |
$[]$ |
| 43190.s1 |
43190o2 |
43190.s |
43190o |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{5} \cdot 5 \cdot 7^{3} \cdot 617^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$518280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$75960$ |
$1.194811$ |
$-41281826100481/12890495001440$ |
$0.91715$ |
$3.52692$ |
$[1, 0, 0, -720, -172960]$ |
\(y^2+xy=x^3-720x-172960\) |
3.8.0-3.a.1.1, 172760.2.0.?, 518280.16.0.? |
$[]$ |
| 43190.s2 |
43190o1 |
43190.s |
43190o |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{15} \cdot 5^{3} \cdot 7 \cdot 617 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$518280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$25320$ |
$0.645505$ |
$56578878719/17690624000$ |
$0.87346$ |
$2.90903$ |
$[1, 0, 0, 80, 6400]$ |
\(y^2+xy=x^3+80x+6400\) |
3.8.0-3.a.1.2, 172760.2.0.?, 518280.16.0.? |
$[]$ |
