| 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 |
| 2093.h3 |
2093f1 |
2093.h |
2093f |
$3$ |
$9$ |
\( 7 \cdot 13 \cdot 23 \) |
\( - 7^{4} \cdot 13^{9} \cdot 23 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.1 |
3B.1.1 |
$37674$ |
$144$ |
$3$ |
$2.461819945$ |
$1$ |
|
$4$ |
$7776$ |
$1.519709$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$5.34004$ |
$[0, 1, 1, 16211, 856569]$ |
\(y^2+y=x^3+x^2+16211x+856569\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 63.72.0-63.e.1.2, 598.2.0.?, 1794.16.0.?, $\ldots$ |
$[(411, 8781)]$ |
| 14651.h3 |
14651e1 |
14651.h |
14651e |
$3$ |
$9$ |
\( 7^{2} \cdot 13 \cdot 23 \) |
\( - 7^{10} \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$37674$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$373248$ |
$2.492664$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$5.47392$ |
$[0, -1, 1, 794323, -292214595]$ |
\(y^2+y=x^3-x^2+794323x-292214595\) |
3.4.0.a.1, 9.12.0.a.1, 21.8.0-3.a.1.1, 63.72.0-63.e.1.3, 598.2.0.?, $\ldots$ |
$[]$ |
| 18837.e3 |
18837r1 |
18837.e |
18837r |
$3$ |
$9$ |
\( 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 3^{6} \cdot 7^{4} \cdot 13^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.3 |
3B.1.2 |
$37674$ |
$144$ |
$3$ |
$0.597744615$ |
$1$ |
|
$4$ |
$233280$ |
$2.069016$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$4.81771$ |
$[0, 0, 1, 145896, -22981473]$ |
\(y^2+y=x^3+145896x-22981473\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 63.72.0-63.e.1.1, 598.2.0.?, 1794.16.0.?, $\ldots$ |
$[(2133, 99963)]$ |
| 27209.i3 |
27209b1 |
27209.i |
27209b |
$3$ |
$9$ |
\( 7 \cdot 13^{2} \cdot 23 \) |
\( - 7^{4} \cdot 13^{15} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$37674$ |
$144$ |
$3$ |
$4.310850974$ |
$1$ |
|
$0$ |
$1306368$ |
$2.802181$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$5.50582$ |
$[0, 1, 1, 2739603, 1870924150]$ |
\(y^2+y=x^3+x^2+2739603x+1870924150\) |
3.4.0.a.1, 9.12.0.a.1, 39.8.0-3.a.1.1, 63.36.0.e.1, 117.24.0.?, $\ldots$ |
$[(119200/11, 98948919/11)]$ |
| 33488.m3 |
33488t1 |
33488.m |
33488t |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{12} \cdot 7^{4} \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$75348$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$559872$ |
$2.212856$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$4.71733$ |
$[0, -1, 0, 259371, -54561059]$ |
\(y^2=x^3-x^2+259371x-54561059\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 36.24.0-9.a.1.2, 63.36.0.e.1, $\ldots$ |
$[]$ |
| 48139.i3 |
48139f1 |
48139.i |
48139f |
$3$ |
$9$ |
\( 7 \cdot 13 \cdot 23^{2} \) |
\( - 7^{4} \cdot 13^{9} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$37674$ |
$144$ |
$3$ |
$1.051939721$ |
$1$ |
|
$0$ |
$4105728$ |
$3.087456$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$5.53197$ |
$[0, 1, 1, 8575443, -10353274073]$ |
\(y^2+y=x^3+x^2+8575443x-10353274073\) |
3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.1, 69.8.0-3.a.1.2, 78.8.0.?, $\ldots$ |
$[(143737/4, 56948405/4)]$ |
| 52325.g3 |
52325d1 |
52325.g |
52325d |
$3$ |
$9$ |
\( 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 5^{6} \cdot 7^{4} \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$188370$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$839808$ |
$2.324429$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$4.64680$ |
$[0, -1, 1, 405267, 106260618]$ |
\(y^2+y=x^3-x^2+405267x+106260618\) |
3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.2, 45.24.0-9.a.1.1, 63.36.0.e.1, $\ldots$ |
$[]$ |
| 131859.w3 |
131859w1 |
131859.w |
131859w |
$3$ |
$9$ |
\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 3^{6} \cdot 7^{10} \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$37674$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$11197440$ |
$3.041969$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$5.01286$ |
$[0, 0, 1, 7148904, 7882645153]$ |
\(y^2+y=x^3+7148904x+7882645153\) |
3.4.0.a.1, 9.12.0.a.1, 21.8.0-3.a.1.2, 63.72.0-63.e.1.4, 598.2.0.?, $\ldots$ |
$[]$ |
| 133952.t3 |
133952bz1 |
133952.t |
133952bz |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{4} \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$150696$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$1119744$ |
$1.866282$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$3.81108$ |
$[0, -1, 0, 64843, 6787711]$ |
\(y^2=x^3-x^2+64843x+6787711\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.2, 63.36.0.e.1, 72.24.0.?, $\ldots$ |
$[]$ |
| 133952.br3 |
133952x1 |
133952.br |
133952x |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{4} \cdot 13^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$150696$ |
$144$ |
$3$ |
$7.419978446$ |
$1$ |
|
$0$ |
$1119744$ |
$1.866282$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$3.81108$ |
$[0, 1, 0, 64843, -6787711]$ |
\(y^2=x^3+x^2+64843x-6787711\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.4, 63.36.0.e.1, 72.24.0.?, $\ldots$ |
$[(7376/5, 771701/5)]$ |
| 190463.w3 |
190463w1 |
190463.w |
190463w |
$3$ |
$9$ |
\( 7^{2} \cdot 13^{2} \cdot 23 \) |
\( - 7^{10} \cdot 13^{15} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$37674$ |
$144$ |
$3$ |
$1$ |
$4$ |
$2$ |
$0$ |
$62705664$ |
$3.775139$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$5.58492$ |
$[0, -1, 1, 134240531, -641458502462]$ |
\(y^2+y=x^3-x^2+134240531x-641458502462\) |
3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.1, 273.8.0.?, 598.2.0.?, $\ldots$ |
$[]$ |
| 234416.bj3 |
234416bj1 |
234416.bj |
234416bj |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{12} \cdot 7^{10} \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$75348$ |
$144$ |
$3$ |
$1$ |
$4$ |
$2$ |
$0$ |
$26873856$ |
$3.185810$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$4.91919$ |
$[0, 1, 0, 12709163, 18689024899]$ |
\(y^2=x^3+x^2+12709163x+18689024899\) |
3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.1, 84.8.0.?, 252.72.0.?, $\ldots$ |
$[]$ |
| 244881.bk3 |
244881bk1 |
244881.bk |
244881bk |
$3$ |
$9$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 3^{6} \cdot 7^{4} \cdot 13^{15} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$37674$ |
$144$ |
$3$ |
$24.18788181$ |
$1$ |
|
$0$ |
$39191040$ |
$3.351490$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$5.06210$ |
$[0, 0, 1, 24656424, -50490295632]$ |
\(y^2+y=x^3+24656424x-50490295632\) |
3.4.0.a.1, 9.12.0.a.1, 39.8.0-3.a.1.2, 63.36.0.e.1, 117.24.0.?, $\ldots$ |
$[(52458958736548/144369, 499101772499006187167/144369)]$ |
| 253253.k3 |
253253k1 |
253253.k |
253253k |
$3$ |
$9$ |
\( 7 \cdot 11^{2} \cdot 13 \cdot 23 \) |
\( - 7^{4} \cdot 11^{6} \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$414414$ |
$144$ |
$3$ |
$1$ |
$25$ |
$5$ |
$0$ |
$10497600$ |
$2.718655$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$4.43808$ |
$[0, 1, 1, 1961491, -1132247660]$ |
\(y^2+y=x^3+x^2+1961491x-1132247660\) |
3.4.0.a.1, 9.12.0.a.1, 33.8.0-3.a.1.2, 63.36.0.e.1, 99.24.0.?, $\ldots$ |
$[]$ |
| 301392.j3 |
301392j1 |
301392.j |
301392j |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{4} \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$75348$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$16796160$ |
$2.762161$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$4.41824$ |
$[0, 0, 0, 2334336, 1470814256]$ |
\(y^2=x^3+2334336x+1470814256\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 36.24.0-9.a.1.1, 63.36.0.e.1, $\ldots$ |
$[]$ |
| 336973.p3 |
336973p1 |
336973.p |
336973p |
$3$ |
$9$ |
\( 7^{2} \cdot 13 \cdot 23^{2} \) |
\( - 7^{10} \cdot 13^{9} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$37674$ |
$144$ |
$3$ |
$11.39726659$ |
$1$ |
|
$0$ |
$197074944$ |
$4.060410$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$5.60352$ |
$[0, -1, 1, 420196691, 3552013400347]$ |
\(y^2+y=x^3-x^2+420196691x+3552013400347\) |
3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.1, 483.8.0.?, 546.8.0.?, $\ldots$ |
$[(100290445/3, 1004361492446/3)]$ |
| 366275.r3 |
366275r1 |
366275.r |
366275r |
$3$ |
$9$ |
\( 5^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 5^{6} \cdot 7^{10} \cdot 13^{9} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$188370$ |
$144$ |
$3$ |
$8.492636501$ |
$1$ |
|
$4$ |
$40310784$ |
$3.297382$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$4.85234$ |
$[0, 1, 1, 19858067, -36487108206]$ |
\(y^2+y=x^3+x^2+19858067x-36487108206\) |
3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.1, 105.8.0.?, 315.72.0.?, $\ldots$ |
$[(2802, 202884), (1280554/15, 1723945492/15)]$ |
| 433251.bb3 |
433251bb1 |
433251.bb |
433251bb |
$3$ |
$9$ |
\( 3^{2} \cdot 7 \cdot 13 \cdot 23^{2} \) |
\( - 3^{6} \cdot 7^{4} \cdot 13^{9} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$37674$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$123171840$ |
$3.636761$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$5.10333$ |
$[0, 0, 1, 77178984, 279615578949]$ |
\(y^2+y=x^3+77178984x+279615578949\) |
3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.1, 69.8.0-3.a.1.1, 78.8.0.?, $\ldots$ |
$[]$ |
| 435344.o3 |
435344o1 |
435344.o |
435344o |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{12} \cdot 7^{4} \cdot 13^{15} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$75348$ |
$144$ |
$3$ |
$13.51839631$ |
$1$ |
|
$2$ |
$94058496$ |
$3.495331$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$4.97072$ |
$[0, -1, 0, 43833643, -119695311971]$ |
\(y^2=x^3-x^2+43833643x-119695311971\) |
3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.1, 156.8.0.?, 276.8.0.?, $\ldots$ |
$[(24125/2, 4826809/2), (24020, 3845933)]$ |
| 470925.br3 |
470925br1 |
470925.br |
470925br |
$3$ |
$9$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{4} \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$188370$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$25194240$ |
$2.873734$ |
$471114356703100928/585612268875179$ |
$1.02226$ |
$4.36979$ |
$[0, 0, 1, 3647400, -2872684094]$ |
\(y^2+y=x^3+3647400x-2872684094\) |
3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, 45.24.0-9.a.1.2, 63.36.0.e.1, $\ldots$ |
$[]$ |
