| 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.g2 |
2093g2 |
2093.g |
2093g |
$2$ |
$3$ |
\( 7 \cdot 13 \cdot 23 \) |
\( - 7^{12} \cdot 13 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1794$ |
$16$ |
$0$ |
$0.501438794$ |
$1$ |
|
$4$ |
$10368$ |
$1.658854$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.74015$ |
$[0, 1, 1, -41217, 3915835]$ |
\(y^2+y=x^3+x^2-41217x+3915835\) |
3.8.0-3.a.1.1, 598.2.0.?, 1794.16.0.? |
$[(439, 8403)]$ |
| 14651.j2 |
14651d2 |
14651.j |
14651d |
$2$ |
$3$ |
\( 7^{2} \cdot 13 \cdot 23 \) |
\( - 7^{18} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12558$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$497664$ |
$2.631809$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.79287$ |
$[0, -1, 1, -2019649, -1347170777]$ |
\(y^2+y=x^3-x^2-2019649x-1347170777\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 598.2.0.?, 1794.8.0.?, 12558.16.0.? |
$[]$ |
| 18837.j2 |
18837q2 |
18837.j |
18837q |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 3^{6} \cdot 7^{12} \cdot 13 \cdot 23^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1794$ |
$16$ |
$0$ |
$13.24005689$ |
$1$ |
|
$2$ |
$311040$ |
$2.208160$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.12851$ |
$[0, 0, 1, -370956, -106098507]$ |
\(y^2+y=x^3-370956x-106098507\) |
3.8.0-3.a.1.2, 598.2.0.?, 1794.16.0.? |
$[(18800281/150, 43653955321/150)]$ |
| 27209.j2 |
27209a2 |
27209.j |
27209a |
$2$ |
$3$ |
\( 7 \cdot 13^{2} \cdot 23 \) |
\( - 7^{12} \cdot 13^{7} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1794$ |
$16$ |
$0$ |
$5.990829178$ |
$1$ |
|
$0$ |
$1741824$ |
$2.941326$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.80542$ |
$[0, 1, 1, -6965729, 8630952880]$ |
\(y^2+y=x^3+x^2-6965729x+8630952880\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 138.8.0.?, 598.2.0.?, 1794.16.0.? |
$[(-2172920/27, 1063713592/27)]$ |
| 33488.j2 |
33488u2 |
33488.j |
33488u |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{12} \cdot 7^{12} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3588$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$746496$ |
$2.352001$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.01097$ |
$[0, -1, 0, -659477, -251272931]$ |
\(y^2=x^3-x^2-659477x-251272931\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 598.2.0.?, 1794.8.0.?, 3588.16.0.? |
$[]$ |
| 48139.l2 |
48139e2 |
48139.l |
48139e |
$2$ |
$3$ |
\( 7 \cdot 13 \cdot 23^{2} \) |
\( - 7^{12} \cdot 13 \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1794$ |
$16$ |
$0$ |
$21.94163913$ |
$1$ |
|
$0$ |
$5474304$ |
$3.226601$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.81572$ |
$[0, 1, 1, -21803969, -47818398791]$ |
\(y^2+y=x^3+x^2-21803969x-47818398791\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 78.8.0.?, 598.2.0.?, 1794.16.0.? |
$[(542894115649/9852, 69230632850502103/9852)]$ |
| 52325.h2 |
52325c2 |
52325.h |
52325c |
$2$ |
$3$ |
\( 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 5^{6} \cdot 7^{12} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8970$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1119744$ |
$2.463573$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$4.92837$ |
$[0, -1, 1, -1030433, 491540268]$ |
\(y^2+y=x^3-x^2-1030433x+491540268\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 598.2.0.?, 1794.8.0.?, 8970.16.0.? |
$[]$ |
| 131859.k2 |
131859k2 |
131859.k |
131859k |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 3^{6} \cdot 7^{18} \cdot 13 \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12558$ |
$16$ |
$0$ |
$7.148781073$ |
$1$ |
|
$4$ |
$14929920$ |
$3.181114$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.27235$ |
$[0, 0, 1, -18176844, 36391787815]$ |
\(y^2+y=x^3-18176844x+36391787815\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 598.2.0.?, 1794.8.0.?, 12558.16.0.? |
$[(265265/4, 132590391/4), (159061/9, 66294847/9)]$ |
| 133952.bg2 |
133952cd2 |
133952.bg |
133952cd |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{12} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7176$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1492992$ |
$2.005428$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$4.07024$ |
$[0, -1, 0, -164869, 31491551]$ |
\(y^2=x^3-x^2-164869x+31491551\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 598.2.0.?, 1794.8.0.?, 7176.16.0.? |
$[]$ |
| 133952.cb2 |
133952bd2 |
133952.cb |
133952bd |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{12} \cdot 13 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7176$ |
$16$ |
$0$ |
$16.31610682$ |
$1$ |
|
$0$ |
$1492992$ |
$2.005428$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$4.07024$ |
$[0, 1, 0, -164869, -31491551]$ |
\(y^2=x^3+x^2-164869x-31491551\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 598.2.0.?, 1794.8.0.?, 7176.16.0.? |
$[(29956028280/3977, 5053269497688629/3977)]$ |
| 190463.u2 |
190463u2 |
190463.u |
190463u |
$2$ |
$3$ |
\( 7^{2} \cdot 13^{2} \cdot 23 \) |
\( - 7^{18} \cdot 13^{7} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12558$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$83607552$ |
$3.914284$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.83657$ |
$[0, -1, 1, -341320737, -2961099479388]$ |
\(y^2+y=x^3-x^2-341320737x-2961099479388\) |
3.4.0.a.1, 273.8.0.?, 598.2.0.?, 966.8.0.?, 1794.8.0.?, $\ldots$ |
$[]$ |
| 234416.bo2 |
234416bo2 |
234416.bo |
234416bo |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{12} \cdot 7^{18} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$25116$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35831808$ |
$3.324955$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.16662$ |
$[0, 1, 0, -32314389, 86251244099]$ |
\(y^2=x^3+x^2-32314389x+86251244099\) |
3.4.0.a.1, 84.8.0.?, 598.2.0.?, 1794.8.0.?, 25116.16.0.? |
$[]$ |
| 244881.z2 |
244881z2 |
244881.z |
244881z |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 3^{6} \cdot 7^{12} \cdot 13^{7} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1794$ |
$16$ |
$0$ |
$5.644759078$ |
$1$ |
|
$0$ |
$52254720$ |
$3.490635$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.30866$ |
$[0, 0, 1, -62691564, -233098419330]$ |
\(y^2+y=x^3-62691564x-233098419330\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 138.8.0.?, 598.2.0.?, 1794.16.0.? |
$[(12813060/37, 228625505/37)]$ |
| 253253.j2 |
253253j2 |
253253.j |
253253j |
$2$ |
$3$ |
\( 7 \cdot 11^{2} \cdot 13 \cdot 23 \) |
\( - 7^{12} \cdot 11^{6} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$19734$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13996800$ |
$2.857800$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$4.68397$ |
$[0, 1, 1, -4987297, -5231925858]$ |
\(y^2+y=x^3+x^2-4987297x-5231925858\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 598.2.0.?, 1794.8.0.?, 19734.16.0.? |
$[]$ |
| 301392.dh2 |
301392dh2 |
301392.dh |
301392dh |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{12} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3588$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$22394880$ |
$2.901306$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$4.66074$ |
$[0, 0, 0, -5935296, 6790304432]$ |
\(y^2=x^3-5935296x+6790304432\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 598.2.0.?, 1794.8.0.?, 3588.16.0.? |
$[]$ |
| 336973.k2 |
336973k2 |
336973.k |
336973k |
$2$ |
$3$ |
\( 7^{2} \cdot 13 \cdot 23^{2} \) |
\( - 7^{18} \cdot 13 \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12558$ |
$16$ |
$0$ |
$5.142244146$ |
$1$ |
|
$0$ |
$262766592$ |
$4.199554$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.84389$ |
$[0, -1, 1, -1068394497, 16399573996245]$ |
\(y^2+y=x^3-x^2-1068394497x+16399573996245\) |
3.4.0.a.1, 483.8.0.?, 546.8.0.?, 598.2.0.?, 1794.8.0.?, $\ldots$ |
$[(262485/2, 121025145/2)]$ |
| 366275.s2 |
366275s2 |
366275.s |
366275s |
$2$ |
$3$ |
\( 5^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 5^{6} \cdot 7^{18} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$62790$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$53747712$ |
$3.436527$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.09114$ |
$[0, 1, 1, -50491233, -168497329556]$ |
\(y^2+y=x^3+x^2-50491233x-168497329556\) |
3.4.0.a.1, 105.8.0.?, 598.2.0.?, 1794.8.0.?, 62790.16.0.? |
$[]$ |
| 433251.q2 |
433251q2 |
433251.q |
433251q |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 13 \cdot 23^{2} \) |
\( - 3^{6} \cdot 7^{12} \cdot 13 \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1794$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$164229120$ |
$3.775906$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.33905$ |
$[0, 0, 1, -196235724, 1290900531627]$ |
\(y^2+y=x^3-196235724x+1290900531627\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 78.8.0.?, 598.2.0.?, 1794.16.0.? |
$[]$ |
| 435344.v2 |
435344v2 |
435344.v |
435344v |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{12} \cdot 7^{12} \cdot 13^{7} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3588$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$125411328$ |
$3.634476$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$5.20635$ |
$[0, -1, 0, -111451669, -552492436003]$ |
\(y^2=x^3-x^2-111451669x-552492436003\) |
3.4.0.a.1, 156.8.0.?, 276.8.0.?, 598.2.0.?, 1794.8.0.?, $\ldots$ |
$[]$ |
| 470925.bm2 |
470925bm2 |
470925.bm |
470925bm |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{12} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8970$ |
$16$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$33592320$ |
$3.012878$ |
$-7743965038771437568/2189290237869371$ |
$1.00225$ |
$4.60400$ |
$[0, 0, 1, -9273900, -13262313344]$ |
\(y^2+y=x^3-9273900x-13262313344\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 598.2.0.?, 1794.8.0.?, 8970.16.0.? |
$[]$ |
