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 |
3870.e4 |
3870d1 |
3870.e |
3870d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 43^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2580$ |
$96$ |
$1$ |
$1.833975616$ |
$1$ |
|
$13$ |
$9216$ |
$1.194151$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.61946$ |
$[1, -1, 0, -6969, 175725]$ |
\(y^2+xy=x^3-x^2-6969x+175725\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.s.1.16, 258.48.0.?, $\ldots$ |
$[(-9, 492)]$ |
3870.l3 |
3870m3 |
3870.l |
3870m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2580$ |
$96$ |
$1$ |
$0.625566773$ |
$1$ |
|
$7$ |
$27648$ |
$1.743456$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$5.41738$ |
$[1, -1, 1, -62723, -4681853]$ |
\(y^2+xy+y=x^3-x^2-62723x-4681853\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.s.1.15, 258.48.0.?, $\ldots$ |
$[(-143, 1232)]$ |
19350.bk3 |
19350c3 |
19350.bk |
19350c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{12} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$7.773068482$ |
$1$ |
|
$1$ |
$663552$ |
$2.548176$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$5.51238$ |
$[1, -1, 0, -1568067, -586799659]$ |
\(y^2+xy=x^3-x^2-1568067x-586799659\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 15.8.0-3.a.1.1, $\ldots$ |
$[(213046/7, 93046939/7)]$ |
19350.cs4 |
19350bq1 |
19350.cs |
19350bq |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{12} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.998869$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.84456$ |
$[1, -1, 1, -174230, 21791397]$ |
\(y^2+xy+y=x^3-x^2-174230x+21791397\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 15.8.0-3.a.1.2, $\ldots$ |
$[]$ |
30960.z3 |
30960s3 |
30960.z |
30960s |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{20} \cdot 3^{9} \cdot 5^{6} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$663552$ |
$2.436604$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$5.13235$ |
$[0, 0, 0, -1003563, 300642138]$ |
\(y^2=x^3-1003563x+300642138\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 60.48.0-60.s.1.13, $\ldots$ |
$[]$ |
30960.cb4 |
30960y1 |
30960.cb |
30960y |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{6} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$2.213825996$ |
$1$ |
|
$7$ |
$221184$ |
$1.887297$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.49488$ |
$[0, 0, 0, -111507, -11134894]$ |
\(y^2=x^3-111507x-11134894\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 60.48.0-60.s.1.14, $\ldots$ |
$[(377, 640)]$ |
123840.f4 |
123840f1 |
123840.f |
123840f |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{26} \cdot 3^{3} \cdot 5^{6} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$3.687271025$ |
$1$ |
|
$5$ |
$1769472$ |
$2.233871$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.31816$ |
$[0, 0, 0, -446028, 89079152]$ |
\(y^2=x^3-446028x+89079152\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 60.24.0.s.1, $\ldots$ |
$[(776, 14500)]$ |
123840.dh4 |
123840dv1 |
123840.dh |
123840dv |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{26} \cdot 3^{3} \cdot 5^{6} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$3.100245015$ |
$1$ |
|
$3$ |
$1769472$ |
$2.233871$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.31816$ |
$[0, 0, 0, -446028, -89079152]$ |
\(y^2=x^3-446028x-89079152\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 60.24.0.s.1, $\ldots$ |
$[(5724, 430000)]$ |
123840.dx3 |
123840u3 |
123840.dx |
123840u |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{26} \cdot 3^{9} \cdot 5^{6} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$5308416$ |
$2.783176$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.88027$ |
$[0, 0, 0, -4014252, -2405137104]$ |
\(y^2=x^3-4014252x-2405137104\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 60.24.0.s.1, $\ldots$ |
$[]$ |
123840.gh3 |
123840eg3 |
123840.gh |
123840eg |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{26} \cdot 3^{9} \cdot 5^{6} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$5308416$ |
$2.783176$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.88027$ |
$[0, 0, 0, -4014252, 2405137104]$ |
\(y^2=x^3-4014252x+2405137104\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 60.24.0.s.1, $\ldots$ |
$[]$ |
154800.l3 |
154800dw3 |
154800.l |
154800dw |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{20} \cdot 3^{9} \cdot 5^{12} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$1.697624324$ |
$1$ |
|
$7$ |
$15925248$ |
$3.241322$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$5.24921$ |
$[0, 0, 0, -25089075, 37580267250]$ |
\(y^2=x^3-25089075x+37580267250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 60.48.0-60.s.1.10, $\ldots$ |
$[(4585, 137600)]$ |
154800.o4 |
154800dz1 |
154800.o |
154800dz |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{12} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$2.195547842$ |
$1$ |
|
$3$ |
$5308416$ |
$2.692017$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.69760$ |
$[0, 0, 0, -2787675, -1391861750]$ |
\(y^2=x^3-2787675x-1391861750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 60.48.0-60.s.1.9, $\ldots$ |
$[(2141, 49536)]$ |
166410.bl3 |
166410cs3 |
166410.bl |
166410cs |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 43^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$10.86301137$ |
$1$ |
|
$1$ |
$51093504$ |
$3.624058$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$5.59966$ |
$[1, -1, 0, -115974249, 373515782093]$ |
\(y^2+xy=x^3-x^2-115974249x+373515782093\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 60.48.0-60.s.1.1, 129.8.0.?, $\ldots$ |
$[(-433102/7, 290125977/7)]$ |
166410.cj4 |
166410bh1 |
166410.cj |
166410bh |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 43^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$10.17255869$ |
$1$ |
|
$1$ |
$17031168$ |
$3.074749$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$5.05136$ |
$[1, -1, 1, -12886028, -13829622513]$ |
\(y^2+xy+y=x^3-x^2-12886028x-13829622513\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 60.48.0-60.s.1.2, 129.8.0.?, $\ldots$ |
$[(-70189/5, 1997451/5)]$ |
189630.s4 |
189630eu1 |
189630.s |
189630eu |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{6} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$18060$ |
$96$ |
$1$ |
$2.166241310$ |
$1$ |
|
$3$ |
$2654208$ |
$2.167107$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.10084$ |
$[1, -1, 0, -341490, -59590700]$ |
\(y^2+xy=x^3-x^2-341490x-59590700\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$ |
$[(2676, 133510)]$ |
189630.ei3 |
189630bs3 |
189630.ei |
189630bs |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$18060$ |
$96$ |
$1$ |
$0.517883837$ |
$1$ |
|
$11$ |
$7962624$ |
$2.716412$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.64324$ |
$[1, -1, 1, -3073412, 1612022311]$ |
\(y^2+xy+y=x^3-x^2-3073412x+1612022311\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ |
$[(401, 20869)]$ |
468270.bd3 |
468270bd3 |
468270.bd |
468270bd |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 11^{6} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$28380$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$39813120$ |
$2.942402$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.52947$ |
$[1, -1, 0, -7589445, 6254314325]$ |
\(y^2+xy=x^3-x^2-7589445x+6254314325\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0.s.1, $\ldots$ |
$[]$ |
468270.ed4 |
468270ed1 |
468270.ed |
468270ed |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 11^{6} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$28380$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$13271040$ |
$2.393097$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.02463$ |
$[1, -1, 1, -843272, -231360181]$ |
\(y^2+xy+y=x^3-x^2-843272x-231360181\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0.s.1, $\ldots$ |
$[]$ |