| 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 |
| 5610.q6 |
5610t3 |
5610.q |
5610t |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{36} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$22440$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$1$ |
$165888$ |
$2.267639$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$6.06628$ |
$[1, 0, 1, -780803, -272099842]$ |
\(y^2+xy+y=x^3-780803x-272099842\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$ |
$[]$ |
| 16830.bk6 |
16830cd3 |
16830.bk |
16830cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{36} \cdot 3^{10} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.12, 3.8.0.1 |
2B, 3B.1.1 |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$5$ |
$1327104$ |
$2.816948$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$6.05880$ |
$[1, -1, 1, -7027223, 7346695727]$ |
\(y^2+xy+y=x^3-x^2-7027223x+7346695727\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 28050.cx6 |
28050cm3 |
28050.cx |
28050cm |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{36} \cdot 3^{4} \cdot 5^{7} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$3981312$ |
$3.072361$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$6.05587$ |
$[1, 1, 1, -19520063, -34012480219]$ |
\(y^2+xy+y=x^3+x^2-19520063x-34012480219\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 44880.bh6 |
44880br3 |
44880.bh |
44880br |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{48} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$24.50252149$ |
$1$ |
|
$1$ |
$3981312$ |
$2.960789$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$5.66516$ |
$[0, -1, 0, -12492840, 17414389872]$ |
\(y^2=x^3-x^2-12492840x+17414389872\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$ |
$[(131723011533/4823, 40173221577708738/4823)]$ |
| 61710.da6 |
61710cz3 |
61710.da |
61710cz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{36} \cdot 3^{4} \cdot 5 \cdot 11^{7} \cdot 17^{3} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$19906560$ |
$3.466587$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$6.05187$ |
$[1, 0, 0, -94477105, 362070412265]$ |
\(y^2+xy=x^3-94477105x+362070412265\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$ |
$[]$ |
| 84150.df6 |
84150bk3 |
84150.df |
84150bk |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{36} \cdot 3^{10} \cdot 5^{7} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$31850496$ |
$3.621666$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$6.05046$ |
$[1, -1, 0, -175680567, 918161285341]$ |
\(y^2+xy=x^3-x^2-175680567x+918161285341\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 95370.j6 |
95370c3 |
95370.j |
95370c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{36} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$117.4890432$ |
$1$ |
|
$1$ |
$47775744$ |
$3.684246$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$6.04991$ |
$[1, 1, 0, -225651928, -1336600870592]$ |
\(y^2+xy=x^3+x^2-225651928x-1336600870592\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(2475533819014048918482728703104004596385315727099801/283611733240963300043104, 103868112001251481165317825147760353578092289120479266514133719085626475207059/283611733240963300043104)]$ |
| 134640.cq6 |
134640cn3 |
134640.cq |
134640cn |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{48} \cdot 3^{10} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.12, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$32.28785426$ |
$1$ |
|
$1$ |
$31850496$ |
$3.510094$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$5.69631$ |
$[0, 0, 0, -112435563, -470076090982]$ |
\(y^2=x^3-112435563x-470076090982\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.2, $\ldots$ |
$[(668267146440886/213095, 9974249074198734618384/213095)]$ |
| 179520.b6 |
179520hr3 |
179520.b |
179520hr |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{54} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$77.22137606$ |
$1$ |
|
$1$ |
$31850496$ |
$3.307362$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$5.35977$ |
$[0, -1, 0, -49971361, -139265147615]$ |
\(y^2=x^3-x^2-49971361x-139265147615\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(10291782614536770303123346742256649/91592719440148, 1044067321730418094604525090605755368156918960130531/91592719440148)]$ |
| 179520.gd6 |
179520bv3 |
179520.gd |
179520bv |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{54} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$1$ |
$31850496$ |
$3.307362$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$5.35977$ |
$[0, 1, 0, -49971361, 139265147615]$ |
\(y^2=x^3+x^2-49971361x+139265147615\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 185130.be6 |
185130eq3 |
185130.be |
185130eq |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{36} \cdot 3^{10} \cdot 5 \cdot 11^{7} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$103.7284869$ |
$1$ |
|
$1$ |
$159252480$ |
$4.015892$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$6.04718$ |
$[1, -1, 0, -850293945, -9775901131155]$ |
\(y^2+xy=x^3-x^2-850293945x-9775901131155\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[(7980865184804992127155375391280095883049808073/351260730768172572736, 620416263147679925443300963014045793000043742863496674142060044391003/351260730768172572736)]$ |
| 224400.eo6 |
224400bf3 |
224400.eo |
224400bf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{48} \cdot 3^{4} \cdot 5^{7} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$95551488$ |
$3.765507$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$5.70890$ |
$[0, 1, 0, -312321008, 2176174091988]$ |
\(y^2=x^3+x^2-312321008x+2176174091988\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 274890.n6 |
274890n3 |
274890.n |
274890n |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{36} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 11 \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$157080$ |
$384$ |
$5$ |
$14.33391695$ |
$1$ |
|
$7$ |
$47775744$ |
$3.240597$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$5.11345$ |
$[1, 1, 0, -38259323, 93291986397]$ |
\(y^2+xy=x^3+x^2-38259323x+93291986397\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(3863, 54296), (2639, 102185)]$ |
| 286110.gv6 |
286110gv3 |
286110.gv |
286110gv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{36} \cdot 3^{10} \cdot 5 \cdot 11 \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$3.264939948$ |
$1$ |
|
$3$ |
$382205952$ |
$4.233551$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$6.04554$ |
$[1, -1, 1, -2030867357, 36086192638629]$ |
\(y^2+xy+y=x^3-x^2-2030867357x+36086192638629\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(223223, 103356168)]$ |
| 308550.h6 |
308550h3 |
308550.h |
308550h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{36} \cdot 3^{4} \cdot 5^{7} \cdot 11^{7} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$477757440$ |
$4.271309$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$6.04527$ |
$[1, 1, 0, -2361927625, 45258801533125]$ |
\(y^2+xy=x^3+x^2-2361927625x+45258801533125\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 476850.ib6 |
476850ib3 |
476850.ib |
476850ib |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{36} \cdot 3^{4} \cdot 5^{7} \cdot 11 \cdot 17^{9} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$8.404155624$ |
$1$ |
|
$5$ |
$1146617856$ |
$4.488968$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$6.04376$ |
$[1, 0, 0, -5641298213, -167063826227583]$ |
\(y^2+xy=x^3-5641298213x-167063826227583\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$ |
$[(2391922, 3696265639)]$ |
| 493680.cf6 |
493680cf3 |
493680.cf |
493680cf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{48} \cdot 3^{4} \cdot 5 \cdot 11^{7} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$23.45744772$ |
$1$ |
|
$1$ |
$477757440$ |
$4.159737$ |
$-52643812360427830814761/1504091705903677440$ |
$1.00213$ |
$5.72641$ |
$[0, -1, 0, -1511633680, -23172506384960]$ |
\(y^2=x^3-x^2-1511633680x-23172506384960\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$ |
$[(501062662897/559, 354575730477985632/559)]$ |
