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 |
2541.a1 |
2541i1 |
2541.a |
2541i |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11^{2} \) |
\( 3 \cdot 7^{7} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$0.047537998$ |
$1$ |
|
$10$ |
$4032$ |
$0.762805$ |
$25104437248/2470629$ |
$[0, -1, 1, -1492, 20712]$ |
\(y^2+y=x^3-x^2-1492x+20712\) |
42.2.0.a.1 |
$[(15, 38)]$ |
2541.k1 |
2541d1 |
2541.k |
2541d |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11^{2} \) |
\( 3 \cdot 7^{7} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$44352$ |
$1.961752$ |
$25104437248/2470629$ |
$[0, -1, 1, -180572, -26845765]$ |
\(y^2+y=x^3-x^2-180572x-26845765\) |
42.2.0.a.1 |
$[]$ |
7623.d1 |
7623k1 |
7623.d |
7623k |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 3^{7} \cdot 7^{7} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$6.488157457$ |
$1$ |
|
$2$ |
$354816$ |
$2.511059$ |
$25104437248/2470629$ |
$[0, 0, 1, -1625151, 726460798]$ |
\(y^2+y=x^3-1625151x+726460798\) |
42.2.0.a.1 |
$[(-1097, 34483)]$ |
7623.s1 |
7623r1 |
7623.s |
7623r |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 3^{7} \cdot 7^{7} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$1.312111$ |
$25104437248/2470629$ |
$[0, 0, 1, -13431, -545801]$ |
\(y^2+y=x^3-13431x-545801\) |
42.2.0.a.1 |
$[]$ |
17787.i1 |
17787be1 |
17787.i |
17787be |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 3 \cdot 7^{13} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$1.735760$ |
$25104437248/2470629$ |
$[0, 1, 1, -73124, -6958066]$ |
\(y^2+y=x^3+x^2-73124x-6958066\) |
42.2.0.a.1 |
$[]$ |
17787.bg1 |
17787z1 |
17787.bg |
17787z |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 3 \cdot 7^{13} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$2128896$ |
$2.934708$ |
$25104437248/2470629$ |
$[0, 1, 1, -8848044, 9225793385]$ |
\(y^2+y=x^3+x^2-8848044x+9225793385\) |
42.2.0.a.1 |
$[]$ |
40656.bt1 |
40656cr1 |
40656.bt |
40656cr |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{12} \cdot 3 \cdot 7^{7} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.455952$ |
$25104437248/2470629$ |
$[0, 1, 0, -23877, -1301709]$ |
\(y^2=x^3+x^2-23877x-1301709\) |
42.2.0.a.1 |
$[]$ |
40656.cc1 |
40656dm1 |
40656.cc |
40656dm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{12} \cdot 3 \cdot 7^{7} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$5.393998215$ |
$1$ |
|
$2$ |
$1774080$ |
$2.654900$ |
$25104437248/2470629$ |
$[0, 1, 0, -2889157, 1721018099]$ |
\(y^2=x^3+x^2-2889157x+1721018099\) |
42.2.0.a.1 |
$[(694, 7119)]$ |
53361.b1 |
53361ce1 |
53361.b |
53361ce |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 7^{13} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17031168$ |
$3.484013$ |
$25104437248/2470629$ |
$[0, 0, 1, -79632399, -249176053800]$ |
\(y^2+y=x^3-79632399x-249176053800\) |
42.2.0.a.1 |
$[]$ |
53361.bw1 |
53361bw1 |
53361.bw |
53361bw |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 7^{13} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1548288$ |
$2.285065$ |
$25104437248/2470629$ |
$[0, 0, 1, -658119, 187209657]$ |
\(y^2+y=x^3-658119x+187209657\) |
42.2.0.a.1 |
$[]$ |
63525.h1 |
63525by1 |
63525.h |
63525by |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( 3 \cdot 5^{6} \cdot 7^{7} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4790016$ |
$2.766472$ |
$25104437248/2470629$ |
$[0, 1, 1, -4514308, -3364749206]$ |
\(y^2+y=x^3+x^2-4514308x-3364749206\) |
42.2.0.a.1 |
$[]$ |
63525.cm1 |
63525bm1 |
63525.cm |
63525bm |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( 3 \cdot 5^{6} \cdot 7^{7} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$10.32872527$ |
$1$ |
|
$0$ |
$435456$ |
$1.567524$ |
$25104437248/2470629$ |
$[0, 1, 1, -37308, 2514419]$ |
\(y^2+y=x^3+x^2-37308x+2514419\) |
42.2.0.a.1 |
$[(92957/34, 7920775/34)]$ |
121968.fk1 |
121968ep1 |
121968.fk |
121968ep |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 7^{7} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$2.005257$ |
$25104437248/2470629$ |
$[0, 0, 0, -214896, 34931248]$ |
\(y^2=x^3-214896x+34931248\) |
42.2.0.a.1 |
$[]$ |
121968.fx1 |
121968gb1 |
121968.fx |
121968gb |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 7^{7} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$5.404815189$ |
$1$ |
|
$0$ |
$14192640$ |
$3.204205$ |
$25104437248/2470629$ |
$[0, 0, 0, -26002416, -46493491088]$ |
\(y^2=x^3-26002416x-46493491088\) |
42.2.0.a.1 |
$[(-11503/2, 536697/2)]$ |
162624.dx1 |
162624dy1 |
162624.dx |
162624dy |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3 \cdot 7^{7} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$4.613840429$ |
$1$ |
|
$0$ |
$322560$ |
$1.109379$ |
$25104437248/2470629$ |
$[0, -1, 0, -5969, -159729]$ |
\(y^2=x^3-x^2-5969x-159729\) |
42.2.0.a.1 |
$[(-470/3, 2233/3)]$ |
162624.ec1 |
162624dq1 |
162624.ec |
162624dq |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3 \cdot 7^{7} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3548160$ |
$2.308327$ |
$25104437248/2470629$ |
$[0, -1, 0, -722289, 215488407]$ |
\(y^2=x^3-x^2-722289x+215488407\) |
42.2.0.a.1 |
$[]$ |
162624.ig1 |
162624gn1 |
162624.ig |
162624gn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3 \cdot 7^{7} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$72.00208125$ |
$1$ |
|
$0$ |
$3548160$ |
$2.308327$ |
$25104437248/2470629$ |
$[0, 1, 0, -722289, -215488407]$ |
\(y^2=x^3+x^2-722289x-215488407\) |
42.2.0.a.1 |
$[(-12334622514700473731020313854904/180964654366911, 10716833992933771822971460552658558010960846671/180964654366911)]$ |
162624.iw1 |
162624gl1 |
162624.iw |
162624gl |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3 \cdot 7^{7} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$1.109379$ |
$25104437248/2470629$ |
$[0, 1, 0, -5969, 159729]$ |
\(y^2=x^3+x^2-5969x+159729\) |
42.2.0.a.1 |
$[]$ |
190575.g1 |
190575j1 |
190575.g |
190575j |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( 3^{7} \cdot 5^{6} \cdot 7^{7} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$4.662517143$ |
$1$ |
|
$2$ |
$3483648$ |
$2.116829$ |
$25104437248/2470629$ |
$[0, 0, 1, -335775, -68225094]$ |
\(y^2+y=x^3-335775x-68225094\) |
42.2.0.a.1 |
$[(-406, 1084)]$ |
190575.ey1 |
190575es1 |
190575.ey |
190575es |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( 3^{7} \cdot 5^{6} \cdot 7^{7} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38320128$ |
$3.315777$ |
$25104437248/2470629$ |
$[0, 0, 1, -40628775, 90807599781]$ |
\(y^2+y=x^3-40628775x+90807599781\) |
42.2.0.a.1 |
$[]$ |
284592.fa1 |
284592fa1 |
284592.fa |
284592fa |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3 \cdot 7^{13} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$85155840$ |
$3.627853$ |
$25104437248/2470629$ |
$[0, -1, 0, -141568709, -590592345363]$ |
\(y^2=x^3-x^2-141568709x-590592345363\) |
42.2.0.a.1 |
$[]$ |
284592.fg1 |
284592fg1 |
284592.fg |
284592fg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3 \cdot 7^{13} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$7741440$ |
$2.428905$ |
$25104437248/2470629$ |
$[0, -1, 0, -1169989, 444146221]$ |
\(y^2=x^3-x^2-1169989x+444146221\) |
42.2.0.a.1 |
$[]$ |
429429.l1 |
429429l1 |
429429.l |
429429l |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 13^{2} \) |
\( 3 \cdot 7^{7} \cdot 11^{10} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$5.706901544$ |
$1$ |
|
$2$ |
$102187008$ |
$3.244228$ |
$25104437248/2470629$ |
$[0, -1, 1, -30516724, -59102211972]$ |
\(y^2+y=x^3-x^2-30516724x-59102211972\) |
42.2.0.a.1 |
$[(-3501, 69374)]$ |
429429.ds1 |
429429ds1 |
429429.ds |
429429ds |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 13^{2} \) |
\( 3 \cdot 7^{7} \cdot 11^{4} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9289728$ |
$2.045280$ |
$25104437248/2470629$ |
$[0, -1, 1, -252204, 44496077]$ |
\(y^2+y=x^3-x^2-252204x+44496077\) |
42.2.0.a.1 |
$[]$ |
444675.o1 |
444675o1 |
444675.o |
444675o |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3 \cdot 5^{6} \cdot 7^{13} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$31.14969577$ |
$1$ |
|
$0$ |
$229920768$ |
$3.739426$ |
$25104437248/2470629$ |
$[0, -1, 1, -221201108, 1153666575368]$ |
\(y^2+y=x^3-x^2-221201108x+1153666575368\) |
42.2.0.a.1 |
$[(-20358710290733/37517, 60827026584312941073/37517)]$ |
444675.ha1 |
444675ha1 |
444675.ha |
444675ha |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3 \cdot 5^{6} \cdot 7^{13} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$6.377401338$ |
$1$ |
|
$0$ |
$20901888$ |
$2.540478$ |
$25104437248/2470629$ |
$[0, -1, 1, -1828108, -866102007]$ |
\(y^2+y=x^3-x^2-1828108x-866102007\) |
42.2.0.a.1 |
$[(601401/4, 466074885/4)]$ |
487872.bh1 |
487872bh1 |
487872.bh |
487872bh |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{7} \cdot 7^{7} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$6.713435069$ |
$1$ |
|
$2$ |
$28385280$ |
$2.857632$ |
$25104437248/2470629$ |
$[0, 0, 0, -6500604, 5811686386]$ |
\(y^2=x^3-6500604x+5811686386\) |
42.2.0.a.1 |
$[(3059, 120627)]$ |
487872.bm1 |
487872bm1 |
487872.bm |
487872bm |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{7} \cdot 7^{7} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$1.658684$ |
$25104437248/2470629$ |
$[0, 0, 0, -53724, 4366406]$ |
\(y^2=x^3-53724x+4366406\) |
42.2.0.a.1 |
$[]$ |
487872.cn1 |
487872cn1 |
487872.cn |
487872cn |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{7} \cdot 7^{7} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$4.126285434$ |
$1$ |
|
$2$ |
$28385280$ |
$2.857632$ |
$25104437248/2470629$ |
$[0, 0, 0, -6500604, -5811686386]$ |
\(y^2=x^3-6500604x-5811686386\) |
42.2.0.a.1 |
$[(-1297, 20923)]$ |
487872.cs1 |
487872cs1 |
487872.cs |
487872cs |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{7} \cdot 7^{7} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$0.544249210$ |
$1$ |
|
$10$ |
$2580480$ |
$1.658684$ |
$25104437248/2470629$ |
$[0, 0, 0, -53724, -4366406]$ |
\(y^2=x^3-53724x-4366406\) |
42.2.0.a.1 |
$[(-583/2, 4851/2), (1067, 33957)]$ |