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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
3220.c2 |
3220c2 |
3220.c |
3220c |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$138$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$106272$ |
$2.589531$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 1, 0, -2606310, 1678138133]$ |
\(y^2=x^3+x^2-2606310x+1678138133\) |
3.8.0-3.a.1.1, 46.2.0.a.1, 138.16.0.? |
$[]$ |
12880.e2 |
12880x2 |
12880.e |
12880x |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$276$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$425088$ |
$2.589531$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, -1, 0, -2606310, -1678138133]$ |
\(y^2=x^3-x^2-2606310x-1678138133\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 46.2.0.a.1, 138.8.0.?, 276.16.0.? |
$[]$ |
16100.b2 |
16100c2 |
16100.b |
16100c |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{6} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$690$ |
$16$ |
$0$ |
$0.326781885$ |
$1$ |
|
$8$ |
$2550528$ |
$3.394249$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, -1, 0, -65157758, 209897582137]$ |
\(y^2=x^3-x^2-65157758x+209897582137\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 46.2.0.a.1, 138.8.0.?, 690.16.0.? |
$[(3236, 181447)]$ |
22540.e2 |
22540f2 |
22540.e |
22540f |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{12} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$966$ |
$16$ |
$0$ |
$31.03992223$ |
$1$ |
|
$0$ |
$5101056$ |
$3.562485$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, -1, 0, -127709206, -575856798019]$ |
\(y^2=x^3-x^2-127709206x-575856798019\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 46.2.0.a.1, 138.8.0.?, 966.16.0.? |
$[(60373801935391/33171, 458209918699952318495/33171)]$ |
28980.e2 |
28980e2 |
28980.e |
28980e |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23^{9} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$138$ |
$16$ |
$0$ |
$4.595514074$ |
$1$ |
|
$4$ |
$3188160$ |
$3.138836$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 0, 0, -23456793, -45333186383]$ |
\(y^2=x^3-23456793x-45333186383\) |
3.8.0-3.a.1.2, 46.2.0.a.1, 138.16.0.? |
$[(43341, 8963905)]$ |
51520.s2 |
51520k2 |
51520.s |
51520k |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$552$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3400704$ |
$2.936104$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, -1, 0, -10425241, 13435530305]$ |
\(y^2=x^3-x^2-10425241x+13435530305\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 46.2.0.a.1, 138.8.0.?, 552.16.0.? |
$[]$ |
51520.br2 |
51520bo2 |
51520.br |
51520bo |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$552$ |
$16$ |
$0$ |
$3.526067600$ |
$1$ |
|
$0$ |
$3400704$ |
$2.936104$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 1, 0, -10425241, -13435530305]$ |
\(y^2=x^3+x^2-10425241x-13435530305\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 46.2.0.a.1, 138.8.0.?, 552.16.0.? |
$[(15333/2, 433895/2)]$ |
64400.bz2 |
64400bq2 |
64400.bz |
64400bq |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{6} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1380$ |
$16$ |
$0$ |
$26.09542490$ |
$1$ |
|
$0$ |
$10202112$ |
$3.394249$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 1, 0, -65157758, -209897582137]$ |
\(y^2=x^3+x^2-65157758x-209897582137\) |
3.4.0.a.1, 46.2.0.a.1, 60.8.0-3.a.1.1, 138.8.0.?, 1380.16.0.? |
$[(5307707793323/5489, 12215099234738915725/5489)]$ |
74060.m2 |
74060d2 |
74060.m |
74060d |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 23^{15} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$138$ |
$16$ |
$0$ |
$33.35789491$ |
$1$ |
|
$0$ |
$56111616$ |
$4.157280$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 1, 0, -1378738166, -20428936569091]$ |
\(y^2=x^3+x^2-1378738166x-20428936569091\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 46.2.0.a.1, 69.8.0-3.a.1.1, 138.16.0.? |
$[(4998352911746473/178473, 342381568858520939895889/178473)]$ |
90160.ck2 |
90160cb2 |
90160.ck |
90160cb |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{12} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1932$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20404224$ |
$3.562485$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 1, 0, -127709206, 575856798019]$ |
\(y^2=x^3+x^2-127709206x+575856798019\) |
3.4.0.a.1, 46.2.0.a.1, 84.8.0.?, 138.8.0.?, 1932.16.0.? |
$[]$ |
112700.r2 |
112700o2 |
112700.r |
112700o |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{12} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$122425344$ |
$4.367203$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 1, 0, -3192730158, -71988485212687]$ |
\(y^2=x^3+x^2-3192730158x-71988485212687\) |
3.4.0.a.1, 46.2.0.a.1, 105.8.0.?, 138.8.0.?, 4830.16.0.? |
$[]$ |
115920.b2 |
115920cx2 |
115920.b |
115920cx |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$276$ |
$16$ |
$0$ |
$7.525886842$ |
$1$ |
|
$0$ |
$12752640$ |
$3.138836$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 0, 0, -23456793, 45333186383]$ |
\(y^2=x^3-23456793x+45333186383\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 46.2.0.a.1, 138.8.0.?, 276.16.0.? |
$[(-1111/4, 13869205/4)]$ |
144900.be2 |
144900bn2 |
144900.be |
144900bn |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$690$ |
$16$ |
$0$ |
$133.1334361$ |
$1$ |
|
$0$ |
$76515840$ |
$3.943554$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 0, 0, -586419825, -5666648297875]$ |
\(y^2=x^3-586419825x-5666648297875\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 46.2.0.a.1, 138.8.0.?, 690.16.0.? |
$[(81794257952047889493432976887593005070048509021533542906204/1691361173790359950870563073, 4693951800524089733528105598210928034767229495872529242932866429565297203866373503147817/1691361173790359950870563073)]$ |
202860.ct2 |
202860s2 |
202860.ct |
202860s |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{12} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$966$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$153031680$ |
$4.111794$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 0, 0, -1149382857, 15549282929369]$ |
\(y^2=x^3-1149382857x+15549282929369\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 46.2.0.a.1, 138.8.0.?, 966.16.0.? |
$[]$ |
257600.bw2 |
257600bw2 |
257600.bw |
257600bw |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{6} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2760$ |
$16$ |
$0$ |
$15.03682399$ |
$1$ |
|
$0$ |
$81616896$ |
$3.740822$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, -1, 0, -260631033, -1678920026063]$ |
\(y^2=x^3-x^2-260631033x-1678920026063\) |
3.4.0.a.1, 46.2.0.a.1, 120.8.0.?, 138.8.0.?, 2760.16.0.? |
$[(76810672/31, 658171547425/31)]$ |
257600.em2 |
257600em2 |
257600.em |
257600em |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{6} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2760$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$81616896$ |
$3.740822$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 1, 0, -260631033, 1678920026063]$ |
\(y^2=x^3+x^2-260631033x+1678920026063\) |
3.4.0.a.1, 46.2.0.a.1, 120.8.0.?, 138.8.0.?, 2760.16.0.? |
$[]$ |
296240.n2 |
296240n2 |
296240.n |
296240n |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 23^{15} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$276$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$224446464$ |
$4.157280$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, -1, 0, -1378738166, 20428936569091]$ |
\(y^2=x^3-x^2-1378738166x+20428936569091\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 46.2.0.a.1, 138.8.0.?, 276.16.0.? |
$[]$ |
360640.cr2 |
360640cr2 |
360640.cr |
360640cr |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{12} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1.279718745$ |
$1$ |
|
$2$ |
$163233792$ |
$3.909058$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, -1, 0, -510836825, 4607365220977]$ |
\(y^2=x^3-x^2-510836825x+4607365220977\) |
3.4.0.a.1, 46.2.0.a.1, 138.8.0.?, 168.8.0.?, 3864.16.0.? |
$[(-10936, 2980915)]$ |
360640.gp2 |
360640gp2 |
360640.gp |
360640gp |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{12} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$162.9242343$ |
$1$ |
|
$0$ |
$163233792$ |
$3.909058$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 1, 0, -510836825, -4607365220977]$ |
\(y^2=x^3+x^2-510836825x-4607365220977\) |
3.4.0.a.1, 46.2.0.a.1, 138.8.0.?, 168.8.0.?, 3864.16.0.? |
$[(893476206915595459477042673961021218102837168364738829869635426987084554/305703604803245026327285131717207, 844545973518622490301189108479221704095639091914618350983207686876666447281407657054420565827996047115099065/305703604803245026327285131717207)]$ |
370300.o2 |
370300o2 |
370300.o |
370300o |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{6} \cdot 23^{15} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$690$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1346678784$ |
$4.961998$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, -1, 0, -34468454158, -2553548134228063]$ |
\(y^2=x^3-x^2-34468454158x-2553548134228063\) |
3.4.0.a.1, 30.8.0-3.a.1.2, 46.2.0.a.1, 138.8.0.?, 345.8.0.?, $\ldots$ |
$[]$ |
389620.n2 |
389620n2 |
389620.n |
389620n |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 11^{6} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1518$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$114773760$ |
$3.788475$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 1, 0, -315363550, -2234863309175]$ |
\(y^2=x^3+x^2-315363550x-2234863309175\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 46.2.0.a.1, 138.8.0.?, 1518.16.0.? |
$[]$ |
450800.cs2 |
450800cs2 |
450800.cs |
450800cs |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{12} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9660$ |
$16$ |
$0$ |
$62.79920899$ |
$1$ |
|
$0$ |
$489701376$ |
$4.367203$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, -1, 0, -3192730158, 71988485212687]$ |
\(y^2=x^3-x^2-3192730158x+71988485212687\) |
3.4.0.a.1, 46.2.0.a.1, 138.8.0.?, 420.8.0.?, 9660.16.0.? |
$[(21749221907979672827539965417/1220093349091, 9689459763055577502694809168615103290662875/1220093349091)]$ |
463680.ku2 |
463680ku2 |
463680.ku |
463680ku |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$552$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$102021120$ |
$3.485409$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 0, 0, -93827172, 362665491064]$ |
\(y^2=x^3-93827172x+362665491064\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 46.2.0.a.1, 138.8.0.?, 552.16.0.? |
$[]$ |
463680.kx2 |
463680kx2 |
463680.kx |
463680kx |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$552$ |
$16$ |
$0$ |
$2.643968160$ |
$1$ |
|
$2$ |
$102021120$ |
$3.485409$ |
$-122372013839654770813696/5297595236711512175$ |
$[0, 0, 0, -93827172, -362665491064]$ |
\(y^2=x^3-93827172x-362665491064\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 46.2.0.a.1, 138.8.0.?, 552.16.0.? |
$[(613037, 479927315)]$ |