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 |
5610.bb2 |
5610bd1 |
5610.bb |
5610bd |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.645576724$ |
$1$ |
|
$9$ |
$2304$ |
$0.284759$ |
$885012508801/137332800$ |
$[1, 1, 1, -200, -1015]$ |
\(y^2+xy+y=x^3+x^2-200x-1015\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-7, 13)]$ |
16830.e2 |
16830q1 |
16830.e |
16830q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.598297291$ |
$1$ |
|
$25$ |
$18432$ |
$0.834064$ |
$885012508801/137332800$ |
$[1, -1, 0, -1800, 25600]$ |
\(y^2+xy=x^3-x^2-1800x+25600\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(8, 104), (35, 50)]$ |
28050.bs2 |
28050bf1 |
28050.bs |
28050bf |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1.619947819$ |
$1$ |
|
$7$ |
$55296$ |
$1.089478$ |
$885012508801/137332800$ |
$[1, 0, 1, -5001, -116852]$ |
\(y^2+xy+y=x^3-5001x-116852\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-28, 51)]$ |
44880.cv2 |
44880ct1 |
44880.cv |
44880ct |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.783759735$ |
$1$ |
|
$9$ |
$55296$ |
$0.977905$ |
$885012508801/137332800$ |
$[0, 1, 0, -3200, 58548]$ |
\(y^2=x^3+x^2-3200x+58548\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(76, 510)]$ |
61710.q2 |
61710p1 |
61710.q |
61710p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1.192017353$ |
$1$ |
|
$5$ |
$276480$ |
$1.483706$ |
$885012508801/137332800$ |
$[1, 1, 0, -24202, 1229716]$ |
\(y^2+xy=x^3+x^2-24202x+1229716\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(17, 899)]$ |
84150.gg2 |
84150fe1 |
84150.gg |
84150fe |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{8} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.638784$ |
$885012508801/137332800$ |
$[1, -1, 1, -45005, 3154997]$ |
\(y^2+xy+y=x^3-x^2-45005x+3154997\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[]$ |
95370.de2 |
95370cz1 |
95370.de |
95370cz |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1.106628368$ |
$1$ |
|
$7$ |
$663552$ |
$1.701365$ |
$885012508801/137332800$ |
$[1, 0, 0, -57806, -4581180]$ |
\(y^2+xy=x^3-57806x-4581180\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-146, 940)]$ |
134640.bz2 |
134640cg1 |
134640.bz |
134640cg |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.527212$ |
$885012508801/137332800$ |
$[0, 0, 0, -28803, -1609598]$ |
\(y^2=x^3-28803x-1609598\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[]$ |
179520.bm2 |
179520ea1 |
179520.bm |
179520ea |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.324480$ |
$885012508801/137332800$ |
$[0, -1, 0, -12801, 481185]$ |
\(y^2=x^3-x^2-12801x+481185\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[]$ |
179520.eu2 |
179520fy1 |
179520.eu |
179520fy |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1.606306841$ |
$1$ |
|
$5$ |
$442368$ |
$1.324480$ |
$885012508801/137332800$ |
$[0, 1, 0, -12801, -481185]$ |
\(y^2=x^3+x^2-12801x-481185\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-51, 204)]$ |
185130.eb2 |
185130bk1 |
185130.eb |
185130bk |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1.168978727$ |
$1$ |
|
$7$ |
$2211840$ |
$2.033012$ |
$885012508801/137332800$ |
$[1, -1, 1, -217823, -33420153]$ |
\(y^2+xy+y=x^3-x^2-217823x-33420153\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-247, 2418)]$ |
224400.bk2 |
224400ex1 |
224400.bk |
224400ex |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{8} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1327104$ |
$1.782625$ |
$885012508801/137332800$ |
$[0, -1, 0, -80008, 7478512]$ |
\(y^2=x^3-x^2-80008x+7478512\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[]$ |
274890.fj2 |
274890fj1 |
274890.fj |
274890fj |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.700313487$ |
$1$ |
|
$9$ |
$829440$ |
$1.257713$ |
$885012508801/137332800$ |
$[1, 0, 0, -9801, 318681]$ |
\(y^2+xy=x^3-9801x+318681\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(6, 507)]$ |
286110.de2 |
286110de1 |
286110.de |
286110de |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5308416$ |
$2.250671$ |
$885012508801/137332800$ |
$[1, -1, 0, -520254, 123691860]$ |
\(y^2+xy=x^3-x^2-520254x+123691860\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[]$ |
308550.ii2 |
308550ii1 |
308550.ii |
308550ii |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 11^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.753036689$ |
$1$ |
|
$9$ |
$6635520$ |
$2.288425$ |
$885012508801/137332800$ |
$[1, 0, 0, -605063, 154924617]$ |
\(y^2+xy=x^3-605063x+154924617\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(208, 6067)]$ |
476850.o2 |
476850o1 |
476850.o |
476850o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$9.076307701$ |
$1$ |
|
$1$ |
$15925248$ |
$2.506084$ |
$885012508801/137332800$ |
$[1, 1, 0, -1445150, -572647500]$ |
\(y^2+xy=x^3+x^2-1445150x-572647500\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-23075/7, 744500/7)]$ |
493680.gj2 |
493680gj1 |
493680.gj |
493680gj |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 11^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$2.250325110$ |
$1$ |
|
$5$ |
$6635520$ |
$2.176853$ |
$885012508801/137332800$ |
$[0, 1, 0, -387240, -79476300]$ |
\(y^2=x^3+x^2-387240x-79476300\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-345, 3630)]$ |