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.q3 |
5610t6 |
5610.q |
5610t |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$22440$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$2$ |
$331776$ |
$2.614212$ |
$220031146443748723000125481/172266701724057600$ |
$[1, 0, 1, -12577283, -17169377794]$ |
\(y^2+xy+y=x^3-12577283x-17169377794\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 24.96.0-24.o.1.31, 44.12.0-2.a.1.1, $\ldots$ |
$[]$ |
16830.bk3 |
16830cd6 |
16830.bk |
16830cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$10$ |
$2654208$ |
$3.163521$ |
$220031146443748723000125481/172266701724057600$ |
$[1, -1, 1, -113195543, 463573200431]$ |
\(y^2+xy+y=x^3-x^2-113195543x+463573200431\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 8.12.0-2.a.1.1, 24.96.0-24.o.1.15, $\ldots$ |
$[]$ |
28050.cx3 |
28050cm6 |
28050.cx |
28050cm |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{8} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$7962624$ |
$3.418934$ |
$220031146443748723000125481/172266701724057600$ |
$[1, 1, 1, -314432063, -2146172224219]$ |
\(y^2+xy+y=x^3+x^2-314432063x-2146172224219\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.1, 24.48.0.o.1, $\ldots$ |
$[]$ |
44880.bh3 |
44880br6 |
44880.bh |
44880br |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{30} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$12.25126074$ |
$1$ |
|
$3$ |
$7962624$ |
$3.307362$ |
$220031146443748723000125481/172266701724057600$ |
$[0, -1, 0, -201236520, 1098840178800]$ |
\(y^2=x^3-x^2-201236520x+1098840178800\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.7, 24.96.0-24.o.1.27, $\ldots$ |
$[(67625490/91, 2777114670/91)]$ |
61710.da3 |
61710cz6 |
61710.da |
61710cz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 11^{8} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$39813120$ |
$3.813160$ |
$220031146443748723000125481/172266701724057600$ |
$[1, 0, 0, -1521851185, 22850919992297]$ |
\(y^2+xy=x^3-1521851185x+22850919992297\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$ |
$[]$ |
84150.df3 |
84150bk6 |
84150.df |
84150bk |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{8} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$2$ |
$63700992$ |
$3.968239$ |
$220031146443748723000125481/172266701724057600$ |
$[1, -1, 0, -2829888567, 57943820165341]$ |
\(y^2+xy=x^3-x^2-2829888567x+57943820165341\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.2, 24.48.0.o.1, $\ldots$ |
$[]$ |
95370.j3 |
95370c6 |
95370.j |
95370c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$58.74452161$ |
$1$ |
|
$2$ |
$95551488$ |
$4.030823$ |
$220031146443748723000125481/172266701724057600$ |
$[1, 1, 0, -3634834648, -84349518266048]$ |
\(y^2+xy=x^3+x^2-3634834648x-84349518266048\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 20.12.0-2.a.1.1, 24.48.0.o.1, $\ldots$ |
$[(-6586223131520393381791148399/434938459024, 843923744819694704241068160941308254943/434938459024)]$ |
134640.cq3 |
134640cn6 |
134640.cq |
134640cn |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{30} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$16.14392713$ |
$1$ |
|
$3$ |
$63700992$ |
$3.856667$ |
$220031146443748723000125481/172266701724057600$ |
$[0, 0, 0, -1811128683, -29666873698918]$ |
\(y^2=x^3-1811128683x-29666873698918\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 12.48.0-6.a.1.2, $\ldots$ |
$[(-3758295449/391, 172083243150/391)]$ |
179520.b3 |
179520hr6 |
179520.b |
179520hr |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{36} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$38.61068803$ |
$1$ |
|
$3$ |
$63700992$ |
$3.653934$ |
$220031146443748723000125481/172266701724057600$ |
$[0, -1, 0, -804946081, -8789916484319]$ |
\(y^2=x^3-x^2-804946081x-8789916484319\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.1.30, $\ldots$ |
$[(14197945404800785087/1700977, 53497185399677257624773580872/1700977)]$ |
179520.gd3 |
179520bv6 |
179520.gd |
179520bv |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{36} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$3$ |
$63700992$ |
$3.653934$ |
$220031146443748723000125481/172266701724057600$ |
$[0, 1, 0, -804946081, 8789916484319]$ |
\(y^2=x^3+x^2-804946081x+8789916484319\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.1.26, $\ldots$ |
$[]$ |
185130.be3 |
185130eq6 |
185130.be |
185130eq |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{2} \cdot 11^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$51.86424345$ |
$1$ |
|
$2$ |
$318504960$ |
$4.362465$ |
$220031146443748723000125481/172266701724057600$ |
$[1, -1, 0, -13696660665, -616974839792019]$ |
\(y^2+xy=x^3-x^2-13696660665x-616974839792019\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.1.3, $\ldots$ |
$[(5027792563748651215191825/4407746656, 9816334560958910212600286154899057481/4407746656)]$ |
224400.eo3 |
224400bf6 |
224400.eo |
224400bf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{30} \cdot 3^{2} \cdot 5^{8} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$191102976$ |
$4.112083$ |
$220031146443748723000125481/172266701724057600$ |
$[0, 1, 0, -5030913008, 137344960523988]$ |
\(y^2=x^3+x^2-5030913008x+137344960523988\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 24.48.0.o.1, 60.48.0-6.a.1.5, $\ldots$ |
$[]$ |
274890.n3 |
274890n6 |
274890.n |
274890n |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 11^{2} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$157080$ |
$384$ |
$5$ |
$3.583479239$ |
$1$ |
|
$20$ |
$95551488$ |
$3.587170$ |
$220031146443748723000125481/172266701724057600$ |
$[1, 1, 0, -616286843, 5888480296413]$ |
\(y^2+xy=x^3+x^2-616286843x+5888480296413\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 21.8.0-3.a.1.2, 24.48.0.o.1, $\ldots$ |
$[(13817, 99299), (14531, 33968)]$ |
286110.gv3 |
286110gv6 |
286110.gv |
286110gv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$6.529879897$ |
$1$ |
|
$4$ |
$764411904$ |
$4.580124$ |
$220031146443748723000125481/172266701724057600$ |
$[1, -1, 1, -32713511837, 2277404279671461]$ |
\(y^2+xy+y=x^3-x^2-32713511837x+2277404279671461\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 24.48.0.o.1, 51.8.0-3.a.1.2, $\ldots$ |
$[(7151, 45205224)]$ |
308550.h3 |
308550h6 |
308550.h |
308550h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{8} \cdot 11^{8} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$955514880$ |
$4.617882$ |
$220031146443748723000125481/172266701724057600$ |
$[1, 1, 0, -38046279625, 2856364999037125]$ |
\(y^2+xy=x^3+x^2-38046279625x+2856364999037125\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 20.12.0-2.a.1.1, 24.48.0.o.1, $\ldots$ |
$[]$ |
476850.ib3 |
476850ib6 |
476850.ib |
476850ib |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{8} \cdot 11^{2} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$16.80831124$ |
$1$ |
|
$2$ |
$2293235712$ |
$4.835541$ |
$220031146443748723000125481/172266701724057600$ |
$[1, 0, 0, -90870866213, -10543508041523583]$ |
\(y^2+xy=x^3-90870866213x-10543508041523583\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$ |
$[(5760760882/49, 433465842570391/49)]$ |
493680.cf3 |
493680cf6 |
493680.cf |
493680cf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{30} \cdot 3^{2} \cdot 5^{2} \cdot 11^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$11.72872386$ |
$1$ |
|
$3$ |
$955514880$ |
$4.506310$ |
$220031146443748723000125481/172266701724057600$ |
$[0, -1, 0, -24349618960, -1462458879507008]$ |
\(y^2=x^3-x^2-24349618960x-1462458879507008\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$ |
$[(-166476614/43, 997926930/43)]$ |