| 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 |
| 469300.a1 |
469300a1 |
469300.a |
469300a |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{10} \cdot 13 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$10.75532142$ |
$1$ |
|
$0$ |
$38361600$ |
$2.814270$ |
$691200000/4693$ |
$1.14067$ |
$4.56851$ |
$[0, 0, 0, -9025000, -10374237500]$ |
\(y^2=x^3-9025000x-10374237500\) |
26.2.0.a.1 |
$[(847381/5, 776868029/5)]$ |
| 469300.b1 |
469300b1 |
469300.b |
469300b |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{9} \cdot 13 \cdot 19^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2470$ |
$2$ |
$0$ |
$1.189042507$ |
$1$ |
|
$4$ |
$90201600$ |
$3.038422$ |
$4583035109376/4023660875$ |
$0.98406$ |
$4.53704$ |
$[0, 0, 0, 7869800, 6110511625]$ |
\(y^2=x^3+7869800x+6110511625\) |
2470.2.0.? |
$[(64220, 16290125)]$ |
| 469300.c1 |
469300c1 |
469300.c |
469300c |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 13 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$494$ |
$2$ |
$0$ |
$5.397233993$ |
$1$ |
|
$0$ |
$3732480$ |
$1.922314$ |
$6243584/6175$ |
$0.67362$ |
$3.50279$ |
$[0, 1, 0, 87242, -8322387]$ |
\(y^2=x^3+x^2+87242x-8322387\) |
494.2.0.? |
$[(10497/7, 1543275/7)]$ |
| 469300.d1 |
469300d2 |
469300.d |
469300d |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{6} \cdot 13^{3} \cdot 19^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7410$ |
$16$ |
$0$ |
$1.741136106$ |
$1$ |
|
$6$ |
$16796160$ |
$2.696224$ |
$-48795070432000/41743$ |
$0.92310$ |
$4.71816$ |
$[0, 1, 0, -17312958, 27721387213]$ |
\(y^2=x^3+x^2-17312958x+27721387213\) |
3.4.0.a.1, 285.8.0.?, 390.8.0.?, 494.2.0.?, 1482.8.0.?, $\ldots$ |
$[(2457, 4693), (614913/16, 586625/16)]$ |
| 469300.d2 |
469300d1 |
469300.d |
469300d |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{6} \cdot 13 \cdot 19^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7410$ |
$16$ |
$0$ |
$1.741136106$ |
$1$ |
|
$10$ |
$5598720$ |
$2.146915$ |
$-42592000/89167$ |
$0.79553$ |
$3.76697$ |
$[0, 1, 0, -165458, 55610713]$ |
\(y^2=x^3+x^2-165458x+55610713\) |
3.4.0.a.1, 285.8.0.?, 390.8.0.?, 494.2.0.?, 1482.8.0.?, $\ldots$ |
$[(-431, 6859), (-222, 9025)]$ |
| 469300.e1 |
469300e2 |
469300.e |
469300e |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{7} \cdot 13^{6} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$570$ |
$16$ |
$0$ |
$1.242501437$ |
$1$ |
|
$8$ |
$4292352$ |
$1.950804$ |
$805901295616/24134045$ |
$0.90613$ |
$3.71437$ |
$[0, 1, 0, -219133, 38374863]$ |
\(y^2=x^3+x^2-219133x+38374863\) |
3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 114.8.0.?, 285.8.0.?, $\ldots$ |
$[(98, 4225), (5793/4, 164775/4)]$ |
| 469300.e2 |
469300e1 |
469300.e |
469300e |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{9} \cdot 13^{2} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$570$ |
$16$ |
$0$ |
$1.242501437$ |
$1$ |
|
$12$ |
$1430784$ |
$1.401499$ |
$1893769216/21125$ |
$0.83356$ |
$3.25083$ |
$[0, 1, 0, -29133, -1905137]$ |
\(y^2=x^3+x^2-29133x-1905137\) |
3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 114.8.0.?, 285.8.0.?, $\ldots$ |
$[(273, 3250), (-102, 125)]$ |
| 469300.f1 |
469300f1 |
469300.f |
469300f |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{12} \cdot 13 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7410$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$309795840$ |
$3.999603$ |
$-1696639751279573488384/1393234375$ |
$0.97825$ |
$6.04784$ |
$[0, 1, 0, -5650790158, -163499672607687]$ |
\(y^2=x^3+x^2-5650790158x-163499672607687\) |
3.4.0.a.1, 285.8.0.?, 390.8.0.?, 494.2.0.?, 1482.8.0.?, $\ldots$ |
$[]$ |
| 469300.f2 |
469300f2 |
469300.f |
469300f |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{24} \cdot 13^{3} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7410$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$929387520$ |
$4.548912$ |
$-1584890290954800281344/159236907958984375$ |
$0.97976$ |
$6.05489$ |
$[0, 1, 0, -5523898658, -171192305179187]$ |
\(y^2=x^3+x^2-5523898658x-171192305179187\) |
3.4.0.a.1, 285.8.0.?, 390.8.0.?, 494.2.0.?, 1482.8.0.?, $\ldots$ |
$[]$ |
| 469300.g1 |
469300g2 |
469300.g |
469300g |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{9} \cdot 13^{4} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$25574400$ |
$2.945381$ |
$1693181072/542659$ |
$0.79988$ |
$4.51387$ |
$[0, 1, 0, -7114708, -4881470412]$ |
\(y^2=x^3+x^2-7114708x-4881470412\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[]$ |
| 469300.g2 |
469300g1 |
469300.g |
469300g |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{4} \cdot 5^{9} \cdot 13^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12787200$ |
$2.598808$ |
$1701036032/61009$ |
$0.83508$ |
$4.30191$ |
$[0, 1, 0, -2827833, 1771759588]$ |
\(y^2=x^3+x^2-2827833x+1771759588\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[]$ |
| 469300.h1 |
469300h1 |
469300.h |
469300h |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 13^{3} \cdot 19^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14820$ |
$16$ |
$0$ |
$2.416883727$ |
$1$ |
|
$8$ |
$4354560$ |
$2.022747$ |
$-333862480/793117$ |
$0.79556$ |
$3.65167$ |
$[0, 1, 0, -96868, -26251452]$ |
\(y^2=x^3+x^2-96868x-26251452\) |
3.4.0.a.1, 52.2.0.a.1, 156.8.0.?, 285.8.0.?, 14820.16.0.? |
$[(652, 13718), (3179, 178334)]$ |
| 469300.h2 |
469300h2 |
469300.h |
469300h |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 13 \cdot 19^{12} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14820$ |
$16$ |
$0$ |
$21.75195355$ |
$1$ |
|
$0$ |
$13063680$ |
$2.572056$ |
$219049935920/611596453$ |
$0.87432$ |
$4.12625$ |
$[0, 1, 0, 841732, 581585908]$ |
\(y^2=x^3+x^2+841732x+581585908\) |
3.4.0.a.1, 52.2.0.a.1, 156.8.0.?, 285.8.0.?, 14820.16.0.? |
$[(14527/9, 19808792/9), (525851/13, 401128038/13)]$ |
| 469300.i1 |
469300i1 |
469300.i |
469300i |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{10} \cdot 13^{5} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$8.942021601$ |
$1$ |
|
$0$ |
$21358080$ |
$2.562748$ |
$-595862031184/232058125$ |
$0.90420$ |
$4.18159$ |
$[0, 1, 0, -1410908, -834804812]$ |
\(y^2=x^3+x^2-1410908x-834804812\) |
52.2.0.a.1 |
$[(262207/7, 130553800/7)]$ |
| 469300.j1 |
469300j1 |
469300.j |
469300j |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 13 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$13.21133934$ |
$1$ |
|
$0$ |
$8404992$ |
$2.177872$ |
$-104272/13$ |
$0.65357$ |
$3.86762$ |
$[0, 1, 0, -400108, 107260788]$ |
\(y^2=x^3+x^2-400108x+107260788\) |
52.2.0.a.1 |
$[(1957547/77, 1531876550/77)]$ |
| 469300.k1 |
469300k1 |
469300.k |
469300k |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{7} \cdot 13 \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2470$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2280960$ |
$1.795204$ |
$-1048576/1235$ |
$0.75531$ |
$3.45119$ |
$[0, -1, 0, -48133, -7065238]$ |
\(y^2=x^3-x^2-48133x-7065238\) |
2470.2.0.? |
$[]$ |
| 469300.l1 |
469300l1 |
469300.l |
469300l |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{7} \cdot 13 \cdot 19^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$780$ |
$16$ |
$0$ |
$3.480364920$ |
$1$ |
|
$6$ |
$7682688$ |
$2.410023$ |
$-9056464/65$ |
$0.69879$ |
$4.19547$ |
$[0, -1, 0, -1771908, 914044312]$ |
\(y^2=x^3-x^2-1771908x+914044312\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 156.8.0.?, 260.2.0.?, 780.16.0.? |
$[(-1203, 36100), (4213/2, 117325/2)]$ |
| 469300.l2 |
469300l2 |
469300.l |
469300l |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 13^{3} \cdot 19^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$780$ |
$16$ |
$0$ |
$3.480364920$ |
$1$ |
|
$8$ |
$23048064$ |
$2.959328$ |
$214310576/274625$ |
$0.79282$ |
$4.45168$ |
$[0, -1, 0, 5087092, 4864828312]$ |
\(y^2=x^3-x^2+5087092x+4864828312\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 156.8.0.?, 260.2.0.?, 780.16.0.? |
$[(602, 90250), (22262, 3339250)]$ |
| 469300.m1 |
469300m1 |
469300.m |
469300m |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 13 \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$3.637205471$ |
$1$ |
|
$0$ |
$518400$ |
$1.120184$ |
$40960/13$ |
$0.73431$ |
$2.83720$ |
$[0, -1, 0, -4813, 87977]$ |
\(y^2=x^3-x^2-4813x+87977\) |
26.2.0.a.1 |
$[(592/3, 6137/3)]$ |
| 469300.n1 |
469300n1 |
469300.n |
469300n |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{3} \cdot 13 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2470$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2225280$ |
$1.743414$ |
$16384/13$ |
$0.65773$ |
$3.35439$ |
$[0, -1, 0, 45727, 2277442]$ |
\(y^2=x^3-x^2+45727x+2277442\) |
2470.2.0.? |
$[]$ |
| 469300.o1 |
469300o1 |
469300.o |
469300o |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 13^{5} \cdot 19^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$260$ |
$10$ |
$0$ |
$1.055829317$ |
$1$ |
|
$14$ |
$1200960$ |
$1.611174$ |
$-398087696/371293$ |
$0.93672$ |
$3.28612$ |
$[0, -1, 0, -24668, 2418232]$ |
\(y^2=x^3-x^2-24668x+2418232\) |
5.5.0.a.1, 260.10.0.? |
$[(-18, 1690), (242, 3250)]$ |
| 469300.p1 |
469300p1 |
469300.p |
469300p |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 13^{5} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$260$ |
$10$ |
$0$ |
$10.72898864$ |
$1$ |
|
$0$ |
$114091200$ |
$3.888111$ |
$-398087696/371293$ |
$0.93672$ |
$5.37841$ |
$[0, -1, 0, -222631708, -2066207478088]$ |
\(y^2=x^3-x^2-222631708x-2066207478088\) |
5.5.0.a.1, 260.10.0.? |
$[(268957/3, 114449608/3)]$ |
| 469300.q1 |
469300q1 |
469300.q |
469300q |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{9} \cdot 13 \cdot 19^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2470$ |
$2$ |
$0$ |
$2.650213639$ |
$1$ |
|
$10$ |
$585600$ |
$1.075912$ |
$16384/13$ |
$0.65773$ |
$2.74101$ |
$[0, -1, 0, 3167, -42838]$ |
\(y^2=x^3-x^2+3167x-42838\) |
2470.2.0.? |
$[(17, 125), (13, 19)]$ |
| 469300.r1 |
469300r1 |
469300.r |
469300r |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{4} \cdot 13 \cdot 19^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$2.931665549$ |
$1$ |
|
$6$ |
$995328$ |
$1.370733$ |
$10800/13$ |
$0.66228$ |
$2.98751$ |
$[0, 0, 0, 9025, 342950]$ |
\(y^2=x^3+9025x+342950\) |
52.2.0.a.1 |
$[(19, 722), (-209/3, 9386/3)]$ |
| 469300.s1 |
469300s1 |
469300.s |
469300s |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 13^{2} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$3.981926422$ |
$1$ |
|
$4$ |
$4665600$ |
$2.096661$ |
$1769472/3211$ |
$1.10590$ |
$3.67666$ |
$[0, 0, 0, 144400, -30865500]$ |
\(y^2=x^3+144400x-30865500\) |
38.2.0.a.1 |
$[(176, 26)]$ |
| 469300.t1 |
469300t1 |
469300.t |
469300t |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{12} \cdot 13 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$494$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23639040$ |
$2.952015$ |
$350113536/203125$ |
$0.97605$ |
$4.48755$ |
$[0, 0, 0, 6344575, -309512375]$ |
\(y^2=x^3+6344575x-309512375\) |
494.2.0.? |
$[]$ |
| 469300.u1 |
469300u1 |
469300.u |
469300u |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{12} \cdot 13 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$494$ |
$2$ |
$0$ |
$3.715416968$ |
$1$ |
|
$2$ |
$1244160$ |
$1.479797$ |
$350113536/203125$ |
$0.97605$ |
$3.13472$ |
$[0, 0, 0, 17575, 45125]$ |
\(y^2=x^3+17575x+45125\) |
494.2.0.? |
$[(76, 1349)]$ |
| 469300.v1 |
469300v1 |
469300.v |
469300v |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 13 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$9880$ |
$48$ |
$0$ |
$8.380216341$ |
$1$ |
|
$1$ |
$1257984$ |
$1.499065$ |
$442368/13$ |
$1.27279$ |
$3.30008$ |
$[0, 0, 0, -36100, 2572125]$ |
\(y^2=x^3-36100x+2572125\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.24.0.e.1, 760.12.0.?, $\ldots$ |
$[(21705/8, 2773125/8)]$ |
| 469300.v2 |
469300v2 |
469300.v |
469300v |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 13^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$9880$ |
$48$ |
$0$ |
$4.190108170$ |
$1$ |
|
$3$ |
$2515968$ |
$1.845638$ |
$432/169$ |
$1.09219$ |
$3.48048$ |
$[0, 0, 0, 9025, 8573750]$ |
\(y^2=x^3+9025x+8573750\) |
2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 104.24.0.?, 760.12.0.?, $\ldots$ |
$[(-110, 2500)]$ |
| 469300.w1 |
469300w1 |
469300.w |
469300w |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{6} \cdot 13 \cdot 19^{19} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$494$ |
$2$ |
$0$ |
$42.42386366$ |
$1$ |
|
$0$ |
$611020800$ |
$4.602371$ |
$-328568038616615609088/546688785009341767$ |
$1.05426$ |
$6.02586$ |
$[0, 0, 0, -3269297225, -141635874758375]$ |
\(y^2=x^3-3269297225x-141635874758375\) |
494.2.0.? |
$[(4412816257944680753766505/5859351281, 7949486301248961968125398808276878975/5859351281)]$ |
| 469300.x1 |
469300x1 |
469300.x |
469300x |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{6} \cdot 13^{7} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.28.0.1 |
7Ns |
$3458$ |
$112$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$2903040$ |
$1.964848$ |
$-68694048000/62748517$ |
$1.04354$ |
$3.61151$ |
$[0, 0, 0, -102125, -20170875]$ |
\(y^2=x^3-102125x-20170875\) |
7.28.0.a.1, 133.56.1.?, 182.56.1.?, 494.2.0.?, 3458.112.5.? |
$[]$ |
| 469300.y1 |
469300y1 |
469300.y |
469300y |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{6} \cdot 13^{7} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.28.0.1 |
7Ns |
$3458$ |
$112$ |
$5$ |
$4.848688827$ |
$1$ |
|
$0$ |
$55157760$ |
$3.437065$ |
$-68694048000/62748517$ |
$1.04354$ |
$4.96434$ |
$[0, 0, 0, -36867125, 138352031625]$ |
\(y^2=x^3-36867125x+138352031625\) |
7.28.0.a.1, 133.56.1.?, 182.56.1.?, 494.2.0.?, 3458.112.5.? |
$[(66785/8, 162729775/8)]$ |
| 469300.z1 |
469300z1 |
469300.z |
469300z |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{14} \cdot 13^{5} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$494$ |
$2$ |
$0$ |
$14.18039049$ |
$1$ |
|
$0$ |
$91238400$ |
$3.574158$ |
$-5982496199424/2755690234375$ |
$1.00706$ |
$5.06903$ |
$[0, 0, 0, -8600825, -274079638375]$ |
\(y^2=x^3-8600825x-274079638375\) |
494.2.0.? |
$[(285478040/7, 4823463585975/7)]$ |
| 469300.ba1 |
469300ba1 |
469300.ba |
469300ba |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{10} \cdot 13 \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4976640$ |
$2.175453$ |
$10800/13$ |
$0.66228$ |
$3.72697$ |
$[0, 0, 0, 225625, 42868750]$ |
\(y^2=x^3+225625x+42868750\) |
52.2.0.a.1 |
$[]$ |
| 469300.bb1 |
469300bb1 |
469300.bb |
469300bb |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{7} \cdot 13 \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14820$ |
$16$ |
$0$ |
$4.766359744$ |
$1$ |
|
$6$ |
$404352$ |
$0.937802$ |
$-9056464/65$ |
$0.69879$ |
$2.84264$ |
$[0, 1, 0, -4908, -134812]$ |
\(y^2=x^3+x^2-4908x-134812\) |
3.4.0.a.1, 260.2.0.?, 285.8.0.?, 780.8.0.?, 2964.8.0.?, $\ldots$ |
$[(88, 350), (148, 1550)]$ |
| 469300.bb2 |
469300bb2 |
469300.bb |
469300bb |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 13^{3} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14820$ |
$16$ |
$0$ |
$4.766359744$ |
$1$ |
|
$4$ |
$1213056$ |
$1.487108$ |
$214310576/274625$ |
$0.79282$ |
$3.09884$ |
$[0, 1, 0, 14092, -704812]$ |
\(y^2=x^3+x^2+14092x-704812\) |
3.4.0.a.1, 260.2.0.?, 285.8.0.?, 780.8.0.?, 2964.8.0.?, $\ldots$ |
$[(203, 3250), (359, 7124)]$ |
| 469300.bc1 |
469300bc1 |
469300.bc |
469300bc |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{3} \cdot 13 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2470$ |
$2$ |
$0$ |
$2.445135510$ |
$1$ |
|
$2$ |
$117120$ |
$0.271194$ |
$16384/13$ |
$0.65773$ |
$2.00155$ |
$[0, 1, 0, 127, -292]$ |
\(y^2=x^3+x^2+127x-292\) |
2470.2.0.? |
$[(44, 304)]$ |
| 469300.bd1 |
469300bd1 |
469300.bd |
469300bd |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 13^{5} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$260$ |
$10$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$22818240$ |
$3.083393$ |
$-398087696/371293$ |
$0.93672$ |
$4.63895$ |
$[0, 1, 0, -8905268, -16533221932]$ |
\(y^2=x^3+x^2-8905268x-16533221932\) |
5.5.0.a.1, 260.10.0.? |
$[]$ |
| 469300.be1 |
469300be1 |
469300.be |
469300be |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 13^{5} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$260$ |
$10$ |
$0$ |
$24.95129310$ |
$1$ |
|
$0$ |
$6004800$ |
$2.415894$ |
$-398087696/371293$ |
$0.93672$ |
$4.02558$ |
$[0, 1, 0, -616708, 301045588]$ |
\(y^2=x^3+x^2-616708x+301045588\) |
5.5.0.a.1, 260.10.0.? |
$[(68579788371/83, 17959499578313198/83)]$ |
| 469300.bf1 |
469300bf2 |
469300.bf |
469300bf |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{9} \cdot 13 \cdot 19^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7410$ |
$16$ |
$0$ |
$6.431268858$ |
$1$ |
|
$0$ |
$20528640$ |
$2.760399$ |
$-7363872292864/11145875$ |
$0.92307$ |
$4.57356$ |
$[0, 1, 0, -9217533, 10782355688]$ |
\(y^2=x^3+x^2-9217533x+10782355688\) |
3.4.0.a.1, 78.8.0.?, 285.8.0.?, 2470.2.0.?, 7410.16.0.? |
$[(63733/6, 857375/6), (14152/3, 361000/3)]$ |
| 469300.bf2 |
469300bf1 |
469300.bf |
469300bf |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{7} \cdot 13^{3} \cdot 19^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7410$ |
$16$ |
$0$ |
$0.714585428$ |
$1$ |
|
$10$ |
$6842880$ |
$2.211094$ |
$44957696/208715$ |
$0.83743$ |
$3.80321$ |
$[0, 1, 0, 168467, 70583188]$ |
\(y^2=x^3+x^2+168467x+70583188\) |
3.4.0.a.1, 78.8.0.?, 285.8.0.?, 2470.2.0.?, 7410.16.0.? |
$[(1677/2, 117325/2), (63, 9025)]$ |
| 469300.bg1 |
469300bg1 |
469300.bg |
469300bg |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{17} \cdot 13^{7} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2470$ |
$2$ |
$0$ |
$84.67349143$ |
$1$ |
|
$0$ |
$431101440$ |
$4.405373$ |
$-2024009807797682176/58213956201171875$ |
$1.06665$ |
$5.83302$ |
$[0, 1, 0, -599308133, 40209261852488]$ |
\(y^2=x^3+x^2-599308133x+40209261852488\) |
2470.2.0.? |
$[(-184235817833666750744223592636181130908/98046119086204017, 6298414387736322223414853157864902585190378249268552530950/98046119086204017)]$ |
| 469300.bh1 |
469300bh1 |
469300.bh |
469300bh |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{9} \cdot 13 \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2470$ |
$2$ |
$0$ |
$21.30065684$ |
$1$ |
|
$0$ |
$11126400$ |
$2.548134$ |
$16384/13$ |
$0.65773$ |
$4.09385$ |
$[0, 1, 0, 1143167, 286966588]$ |
\(y^2=x^3+x^2+1143167x+286966588\) |
2470.2.0.? |
$[(-3956206248/4163, 271504121728750/4163)]$ |
| 469300.bi1 |
469300bi1 |
469300.bi |
469300bi |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{8} \cdot 13 \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1.861904699$ |
$1$ |
|
$2$ |
$2592000$ |
$1.924902$ |
$40960/13$ |
$0.73431$ |
$3.57667$ |
$[0, 1, 0, -120333, 10756463]$ |
\(y^2=x^3+x^2-120333x+10756463\) |
26.2.0.a.1 |
$[(2533, 126350)]$ |
| 469300.bj1 |
469300bj1 |
469300.bj |
469300bj |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 13 \cdot 19^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$494$ |
$2$ |
$0$ |
$3.386265655$ |
$1$ |
|
$2$ |
$39398400$ |
$2.925880$ |
$-2044929535744/804732175$ |
$0.85595$ |
$4.51497$ |
$[0, -1, 0, -6013658, 7359202937]$ |
\(y^2=x^3-x^2-6013658x+7359202937\) |
494.2.0.? |
$[(127, 81225)]$ |
| 469300.bk1 |
469300bk1 |
469300.bk |
469300bk |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{6} \cdot 13^{5} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$494$ |
$2$ |
$0$ |
$7.323529715$ |
$1$ |
|
$0$ |
$12096000$ |
$2.510639$ |
$10150866176/7054567$ |
$0.87568$ |
$4.06897$ |
$[0, -1, 0, 1025842, 178912937]$ |
\(y^2=x^3-x^2+1025842x+178912937\) |
494.2.0.? |
$[(3928/3, 719225/3)]$ |
| 469300.bl1 |
469300bl2 |
469300.bl |
469300bl |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{7} \cdot 13^{6} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$81554688$ |
$3.423023$ |
$805901295616/24134045$ |
$0.90613$ |
$5.06720$ |
$[0, -1, 0, -79107133, -263687827863]$ |
\(y^2=x^3-x^2-79107133x-263687827863\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 10.2.0.a.1, 15.8.0-3.a.1.1, 30.16.0-30.a.1.2 |
$[]$ |
| 469300.bl2 |
469300bl1 |
469300.bl |
469300bl |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{8} \cdot 5^{9} \cdot 13^{2} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27184896$ |
$2.873718$ |
$1893769216/21125$ |
$0.83356$ |
$4.60366$ |
$[0, -1, 0, -10517133, 13004232137]$ |
\(y^2=x^3-x^2-10517133x+13004232137\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 10.2.0.a.1, 15.8.0-3.a.1.2, 30.16.0-30.a.1.3 |
$[]$ |
| 469300.bm1 |
469300bm1 |
469300.bm |
469300bm |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{4} \cdot 5^{7} \cdot 13^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$9880$ |
$48$ |
$0$ |
$28.66458633$ |
$1$ |
|
$1$ |
$8294400$ |
$2.262932$ |
$153910165504/845$ |
$0.97660$ |
$4.27716$ |
$[0, -1, 0, -2539033, -1556368938]$ |
\(y^2=x^3-x^2-2539033x-1556368938\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 152.12.0.?, $\ldots$ |
$[(136984803884326/245859, 977138943412170728618/245859)]$ |
| 469300.bm2 |
469300bm2 |
469300.bm |
469300bm |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{8} \cdot 13^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$9880$ |
$48$ |
$0$ |
$57.32917267$ |
$1$ |
|
$1$ |
$16588800$ |
$2.609505$ |
$-9115564624/714025$ |
$0.88863$ |
$4.28277$ |
$[0, -1, 0, -2493908, -1614399688]$ |
\(y^2=x^3-x^2-2493908x-1614399688\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 152.12.0.?, 520.24.0.?, $\ldots$ |
$[(84403895673096290612247817/65417749571, 772840744161872232959623377117356927250/65417749571)]$ |
