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 |
11424.d4 |
11424n4 |
11424.d |
11424n |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{12} \cdot 17^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$5.911639224$ |
$1$ |
|
$3$ |
$73728$ |
$1.894567$ |
$18419405270942584/108003564029403$ |
$[0, -1, 0, 44016, -10755756]$ |
\(y^2=x^3-x^2+44016x-10755756\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.v.1.2, 56.24.0-56.ba.1.4, 168.48.0.? |
$[(8909/2, 844025/2)]$ |
11424.m4 |
11424s4 |
11424.m |
11424s |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$6.496909775$ |
$1$ |
|
$1$ |
$73728$ |
$1.894567$ |
$18419405270942584/108003564029403$ |
$[0, 1, 0, 44016, 10755756]$ |
\(y^2=x^3+x^2+44016x+10755756\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 56.24.0-56.ba.1.12, 168.48.0.? |
$[(-267/2, 21945/2)]$ |
22848.z4 |
22848bt3 |
22848.z |
22848bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{12} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.241142$ |
$18419405270942584/108003564029403$ |
$[0, -1, 0, 176063, 85869985]$ |
\(y^2=x^3-x^2+176063x+85869985\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[]$ |
22848.cu4 |
22848cs3 |
22848.cu |
22848cs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{12} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.241142$ |
$18419405270942584/108003564029403$ |
$[0, 1, 0, 176063, -85869985]$ |
\(y^2=x^3+x^2+176063x-85869985\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.2, 24.24.0-24.v.1.3, $\ldots$ |
$[]$ |
34272.bd4 |
34272m2 |
34272.bd |
34272m |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$15.38684742$ |
$1$ |
|
$1$ |
$589824$ |
$2.443874$ |
$18419405270942584/108003564029403$ |
$[0, 0, 0, 396141, -290009270]$ |
\(y^2=x^3+396141x-290009270\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[(19825530/7, 88275001550/7)]$ |
34272.bh4 |
34272t2 |
34272.bh |
34272t |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{12} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$2.443874$ |
$18419405270942584/108003564029403$ |
$[0, 0, 0, 396141, 290009270]$ |
\(y^2=x^3+396141x+290009270\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.2, 24.24.0-24.v.1.3, $\ldots$ |
$[]$ |
68544.bc4 |
68544eb3 |
68544.bc |
68544eb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{15} \cdot 3^{9} \cdot 7^{12} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2359296$ |
$2.790447$ |
$18419405270942584/108003564029403$ |
$[0, 0, 0, 1584564, -2320074160]$ |
\(y^2=x^3+1584564x-2320074160\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 56.24.0-56.ba.1.5, 168.48.0.? |
$[]$ |
68544.bh4 |
68544ex3 |
68544.bh |
68544ex |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{15} \cdot 3^{9} \cdot 7^{12} \cdot 17^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1.873128409$ |
$1$ |
|
$9$ |
$2359296$ |
$2.790447$ |
$18419405270942584/108003564029403$ |
$[0, 0, 0, 1584564, 2320074160]$ |
\(y^2=x^3+1584564x+2320074160\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.v.1.2, 56.24.0-56.ba.1.13, 168.48.0.? |
$[(-499, 37485)]$ |
79968.bd4 |
79968bv2 |
79968.bd |
79968bv |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{18} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$3538944$ |
$2.867523$ |
$18419405270942584/108003564029403$ |
$[0, -1, 0, 2156768, -3684910760]$ |
\(y^2=x^3-x^2+2156768x-3684910760\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.v.1.6, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
79968.cl4 |
79968cv2 |
79968.cl |
79968cv |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{18} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$7.801234399$ |
$1$ |
|
$3$ |
$3538944$ |
$2.867523$ |
$18419405270942584/108003564029403$ |
$[0, 1, 0, 2156768, 3684910760]$ |
\(y^2=x^3+x^2+2156768x+3684910760\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.v.1.6, 28.12.0-4.c.1.2, $\ldots$ |
$[(-197, 57030)]$ |
159936.bn4 |
159936df3 |
159936.bn |
159936df |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{18} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$14155776$ |
$3.214096$ |
$18419405270942584/108003564029403$ |
$[0, -1, 0, 8627071, 29470659009]$ |
\(y^2=x^3-x^2+8627071x+29470659009\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.v.1.5, 56.24.0-56.ba.1.9, $\ldots$ |
$[]$ |
159936.gl4 |
159936l4 |
159936.gl |
159936l |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{18} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$6.439788567$ |
$1$ |
|
$3$ |
$14155776$ |
$3.214096$ |
$18419405270942584/108003564029403$ |
$[0, 1, 0, 8627071, -29470659009]$ |
\(y^2=x^3+x^2+8627071x-29470659009\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.v.1.5, 56.24.0-56.ba.1.1, $\ldots$ |
$[(8593, 824160)]$ |
194208.y4 |
194208bc3 |
194208.y |
194208bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{12} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$22.15776674$ |
$1$ |
|
$1$ |
$21233664$ |
$3.311172$ |
$18419405270942584/108003564029403$ |
$[0, -1, 0, 12720528, 52766705880]$ |
\(y^2=x^3-x^2+12720528x+52766705880\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0.ba.1, 68.12.0-4.c.1.1, $\ldots$ |
$[(1823920626509/1255, 2463262990286673302/1255)]$ |
194208.cf4 |
194208n3 |
194208.cf |
194208n |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{12} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$45.91385742$ |
$1$ |
|
$1$ |
$21233664$ |
$3.311172$ |
$18419405270942584/108003564029403$ |
$[0, 1, 0, 12720528, -52766705880]$ |
\(y^2=x^3+x^2+12720528x-52766705880\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0.ba.1, 68.12.0-4.c.1.2, $\ldots$ |
$[(181208386240379747547/2647463, 2439312558277018363412207994930/2647463)]$ |
239904.w4 |
239904w3 |
239904.w |
239904w |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{18} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$19.09218642$ |
$1$ |
|
$1$ |
$28311552$ |
$3.416828$ |
$18419405270942584/108003564029403$ |
$[0, 0, 0, 19410909, 99473179610]$ |
\(y^2=x^3+19410909x+99473179610\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.v.1.8, 56.24.0-56.ba.1.16, $\ldots$ |
$[(325712881/238, 8539254887535/238)]$ |
239904.bc4 |
239904bc3 |
239904.bc |
239904bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{18} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$9.750900359$ |
$1$ |
|
$1$ |
$28311552$ |
$3.416828$ |
$18419405270942584/108003564029403$ |
$[0, 0, 0, 19410909, -99473179610]$ |
\(y^2=x^3+19410909x-99473179610\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.v.1.8, 56.24.0-56.ba.1.8, $\ldots$ |
$[(1621697/19, 1920266586/19)]$ |
285600.db4 |
285600db3 |
285600.db |
285600db |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{6} \cdot 7^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$2.818877054$ |
$1$ |
|
$3$ |
$9437184$ |
$2.699287$ |
$18419405270942584/108003564029403$ |
$[0, -1, 0, 1100392, 1342268712]$ |
\(y^2=x^3-x^2+1100392x+1342268712\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.v.1, 56.12.0.ba.1, $\ldots$ |
$[(1, 36652)]$ |
285600.dk4 |
285600dk3 |
285600.dk |
285600dk |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{6} \cdot 7^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.736910769$ |
$1$ |
|
$3$ |
$9437184$ |
$2.699287$ |
$18419405270942584/108003564029403$ |
$[0, 1, 0, 1100392, -1342268712]$ |
\(y^2=x^3+x^2+1100392x-1342268712\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.v.1, 56.12.0.ba.1, $\ldots$ |
$[(883, 17850)]$ |
388416.u4 |
388416u4 |
388416.u |
388416u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{12} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$84934656$ |
$3.657745$ |
$18419405270942584/108003564029403$ |
$[0, -1, 0, 50882111, -422184529151]$ |
\(y^2=x^3-x^2+50882111x-422184529151\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0.ba.1, 136.12.0.?, $\ldots$ |
$[]$ |
388416.fn4 |
388416fn3 |
388416.fn |
388416fn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{12} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$84934656$ |
$3.657745$ |
$18419405270942584/108003564029403$ |
$[0, 1, 0, 50882111, 422184529151]$ |
\(y^2=x^3+x^2+50882111x+422184529151\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0.ba.1, 136.12.0.?, $\ldots$ |
$[]$ |
479808.nm4 |
479808nm4 |
479808.nm |
479808nm |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{15} \cdot 3^{9} \cdot 7^{18} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$113246208$ |
$3.763401$ |
$18419405270942584/108003564029403$ |
$[0, 0, 0, 77643636, -795785436880]$ |
\(y^2=x^3+77643636x-795785436880\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 24.24.0-24.v.1.7, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
479808.oy4 |
479808oy3 |
479808.oy |
479808oy |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{15} \cdot 3^{9} \cdot 7^{18} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$113246208$ |
$3.763401$ |
$18419405270942584/108003564029403$ |
$[0, 0, 0, 77643636, 795785436880]$ |
\(y^2=x^3+77643636x+795785436880\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 24.24.0-24.v.1.7, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |