| 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 |
| 1518.n2 |
1518m1 |
1518.n |
1518m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$0.313528098$ |
$1$ |
|
$11$ |
$384$ |
$-0.005873$ |
$8181353375/6412032$ |
$0.89550$ |
$3.11599$ |
$[1, 1, 1, 42, -45]$ |
\(y^2+xy+y=x^3+x^2+42x-45\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(3, 9)]$ |
| 4554.g2 |
4554l1 |
4554.g |
4554l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3^{8} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$0.761824582$ |
$1$ |
|
$9$ |
$3072$ |
$0.543433$ |
$8181353375/6412032$ |
$0.89550$ |
$3.49212$ |
$[1, -1, 0, 378, 1588]$ |
\(y^2+xy=x^3-x^2+378x+1588\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(12, 82)]$ |
| 12144.bi2 |
12144bk1 |
12144.bi |
12144bk |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{20} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.687274$ |
$8181353375/6412032$ |
$0.89550$ |
$3.31146$ |
$[0, 1, 0, 672, 4212]$ |
\(y^2=x^3+x^2+672x+4212\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[ ]$ |
| 16698.h2 |
16698i1 |
16698.h |
16698i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$3.794819737$ |
$1$ |
|
$5$ |
$46080$ |
$1.193075$ |
$8181353375/6412032$ |
$0.89550$ |
$3.82725$ |
$[1, 1, 0, 5080, 85056]$ |
\(y^2+xy=x^3+x^2+5080x+85056\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(-13, 137)]$ |
| 34914.v2 |
34914u1 |
34914.v |
34914u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$202752$ |
$1.561874$ |
$8181353375/6412032$ |
$0.89550$ |
$3.98045$ |
$[1, 1, 1, 22207, 767423]$ |
\(y^2+xy+y=x^3+x^2+22207x+767423\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[ ]$ |
| 36432.bf2 |
36432br1 |
36432.bf |
36432br |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( - 2^{20} \cdot 3^{8} \cdot 11^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.236580$ |
$8181353375/6412032$ |
$0.89550$ |
$3.59267$ |
$[0, 0, 0, 6045, -107678]$ |
\(y^2=x^3+6045x-107678\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[ ]$ |
| 37950.bj2 |
37950x1 |
37950.bj |
37950x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$0.798846$ |
$8181353375/6412032$ |
$0.89550$ |
$3.08058$ |
$[1, 0, 1, 1049, -7702]$ |
\(y^2+xy+y=x^3+1049x-7702\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[ ]$ |
| 48576.s2 |
48576bw1 |
48576.s |
48576bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{26} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$3.960974097$ |
$1$ |
|
$11$ |
$73728$ |
$1.033848$ |
$8181353375/6412032$ |
$0.89550$ |
$3.27144$ |
$[0, -1, 0, 2687, 31009]$ |
\(y^2=x^3-x^2+2687x+31009\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(-5, 132), (39, 440)]$ |
| 48576.cv2 |
48576br1 |
48576.cv |
48576br |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{26} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.033848$ |
$8181353375/6412032$ |
$0.89550$ |
$3.27144$ |
$[0, 1, 0, 2687, -31009]$ |
\(y^2=x^3+x^2+2687x-31009\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[ ]$ |
| 50094.bz2 |
50094by1 |
50094.bz |
50094by |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{8} \cdot 11^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.742380$ |
$8181353375/6412032$ |
$0.89550$ |
$4.04782$ |
$[1, -1, 1, 45715, -2250795]$ |
\(y^2+xy+y=x^3-x^2+45715x-2250795\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[ ]$ |
| 74382.bo2 |
74382bo1 |
74382.bo |
74382bo |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.432044762$ |
$1$ |
|
$5$ |
$138240$ |
$0.967082$ |
$8181353375/6412032$ |
$0.89550$ |
$3.07575$ |
$[1, 0, 0, 2057, 21545]$ |
\(y^2+xy=x^3+2057x+21545\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(-2, 133)]$ |
| 104742.r2 |
104742g1 |
104742.r |
104742g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 11^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$2.057713117$ |
$1$ |
|
$3$ |
$1622016$ |
$2.111179$ |
$8181353375/6412032$ |
$0.89550$ |
$4.17239$ |
$[1, -1, 0, 199863, -20520563]$ |
\(y^2+xy=x^3-x^2+199863x-20520563\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(4514, 302447)]$ |
| 113850.ff2 |
113850fc1 |
113850.ff |
113850fc |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$0.873665728$ |
$1$ |
|
$7$ |
$442368$ |
$1.348152$ |
$8181353375/6412032$ |
$0.89550$ |
$3.35606$ |
$[1, -1, 1, 9445, 207947]$ |
\(y^2+xy+y=x^3-x^2+9445x+207947\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(15, 586)]$ |
| 133584.de2 |
133584w1 |
133584.de |
133584w |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 23 \) |
\( - 2^{20} \cdot 3^{2} \cdot 11^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$1.886223$ |
$8181353375/6412032$ |
$0.89550$ |
$3.85768$ |
$[0, 1, 0, 81272, -5281036]$ |
\(y^2=x^3+x^2+81272x-5281036\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[ ]$ |
| 145728.dt2 |
145728fk1 |
145728.dt |
145728fk |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( - 2^{26} \cdot 3^{8} \cdot 11^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.583155$ |
$8181353375/6412032$ |
$0.89550$ |
$3.52357$ |
$[0, 0, 0, 24180, 861424]$ |
\(y^2=x^3+24180x+861424\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[ ]$ |
| 145728.ef2 |
145728bp1 |
145728.ef |
145728bp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( - 2^{26} \cdot 3^{8} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$3.824602555$ |
$1$ |
|
$3$ |
$589824$ |
$1.583155$ |
$8181353375/6412032$ |
$0.89550$ |
$3.52357$ |
$[0, 0, 0, 24180, -861424]$ |
\(y^2=x^3+24180x-861424\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(709, 19305)]$ |
| 223146.bf2 |
223146dg1 |
223146.bf |
223146dg |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3^{8} \cdot 7^{6} \cdot 11^{2} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$4.462525983$ |
$1$ |
|
$13$ |
$1105920$ |
$1.516388$ |
$8181353375/6412032$ |
$0.89550$ |
$3.33661$ |
$[1, -1, 0, 18513, -581715]$ |
\(y^2+xy=x^3-x^2+18513x-581715\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(39, 426), (177, 2778)]$ |
| 256542.q2 |
256542q1 |
256542.q |
256542q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 13^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.698234523$ |
$1$ |
|
$5$ |
$884736$ |
$1.276602$ |
$8181353375/6412032$ |
$0.89550$ |
$3.06822$ |
$[1, 1, 0, 7095, -133947]$ |
\(y^2+xy=x^3+x^2+7095x-133947\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(66, 759)]$ |
| 279312.cw2 |
279312cw1 |
279312.cw |
279312cw |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{20} \cdot 3^{2} \cdot 11^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4866048$ |
$2.255020$ |
$8181353375/6412032$ |
$0.89550$ |
$3.98369$ |
$[0, 1, 0, 355312, -48404460]$ |
\(y^2=x^3+x^2+355312x-48404460\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[ ]$ |
| 303600.bg2 |
303600bg1 |
303600.bg |
303600bg |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( - 2^{20} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1327104$ |
$1.491993$ |
$8181353375/6412032$ |
$0.89550$ |
$3.23204$ |
$[0, -1, 0, 16792, 492912]$ |
\(y^2=x^3-x^2+16792x+492912\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[ ]$ |
| 384054.g2 |
384054g1 |
384054.g |
384054g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{8} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$5.314611255$ |
$1$ |
|
$3$ |
$24330240$ |
$2.760822$ |
$8181353375/6412032$ |
$0.89550$ |
$4.35706$ |
$[1, 1, 0, 2687045, -1008005027]$ |
\(y^2+xy=x^3+x^2+2687045x-1008005027\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(8102, 739373)]$ |
| 400752.cu2 |
400752cu1 |
400752.cu |
400752cu |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{20} \cdot 3^{8} \cdot 11^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$3.295073645$ |
$1$ |
|
$5$ |
$8847360$ |
$2.435528$ |
$8181353375/6412032$ |
$0.89550$ |
$4.04012$ |
$[0, 0, 0, 731445, 143319418]$ |
\(y^2=x^3+731445x+143319418\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(581, 27648)]$ |
| 417450.hh2 |
417450hh1 |
417450.hh |
417450hh |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 11^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6635520$ |
$1.997793$ |
$8181353375/6412032$ |
$0.89550$ |
$3.62150$ |
$[1, 0, 0, 126987, 10378017]$ |
\(y^2+xy=x^3+126987x+10378017\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[ ]$ |
| 438702.cb2 |
438702cb1 |
438702.cb |
438702cb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1597440$ |
$1.410734$ |
$8181353375/6412032$ |
$0.89550$ |
$3.06540$ |
$[1, 0, 0, 12132, -305136]$ |
\(y^2+xy=x^3+12132x-305136\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[ ]$ |
