| 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 |
| 4290.u2 |
4290v4 |
4290.u |
4290v |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3 \cdot 5 \cdot 11^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8192$ |
$0.850889$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.17794$ |
$[1, 1, 1, -2385, 41625]$ |
\(y^2+xy+y=x^3+x^2-2385x+41625\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.5, 156.12.0.?, $\ldots$ |
$[]$ |
| 12870.b2 |
12870q3 |
12870.b |
12870q |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{7} \cdot 5 \cdot 11^{8} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$2.792711677$ |
$1$ |
|
$12$ |
$65536$ |
$1.400196$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.38948$ |
$[1, -1, 0, -21465, -1145345]$ |
\(y^2+xy=x^3-x^2-21465x-1145345\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(-69, 95), (-79, 269)]$ |
| 21450.bk2 |
21450w3 |
21450.bk |
21450w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2 \cdot 3 \cdot 5^{7} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$196608$ |
$1.655609$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.47197$ |
$[1, 0, 1, -59626, 5322398]$ |
\(y^2+xy+y=x^3-59626x+5322398\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 312.24.0.?, $\ldots$ |
$[]$ |
| 34320.cm2 |
34320cl3 |
34320.cm |
34320cl |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 3 \cdot 5 \cdot 11^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$196608$ |
$1.544037$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.14251$ |
$[0, 1, 0, -38160, -2740332]$ |
\(y^2=x^3+x^2-38160x-2740332\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.13, 156.12.0.?, $\ldots$ |
$[]$ |
| 47190.r2 |
47190r3 |
47190.r |
47190r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3 \cdot 5 \cdot 11^{14} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$5.747807116$ |
$4$ |
$2$ |
$2$ |
$983040$ |
$2.049839$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.58392$ |
$[1, 1, 0, -288587, -56846049]$ |
\(y^2+xy=x^3+x^2-288587x-56846049\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 88.12.0.?, 312.12.0.?, $\ldots$ |
$[(-255, 621)]$ |
| 55770.h2 |
55770f3 |
55770.h |
55770f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3 \cdot 5 \cdot 11^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1376256$ |
$2.133366$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.60557$ |
$[1, 1, 0, -403068, 93465858]$ |
\(y^2+xy=x^3+x^2-403068x+93465858\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 64350.fg2 |
64350ek3 |
64350.fg |
64350ek |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{7} \cdot 5^{7} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1572864$ |
$2.204914$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.62359$ |
$[1, -1, 1, -536630, -143704753]$ |
\(y^2+xy+y=x^3-x^2-536630x-143704753\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 102960.ch2 |
102960dk3 |
102960.ch |
102960dk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 3^{7} \cdot 5 \cdot 11^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1572864$ |
$2.093342$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.31931$ |
$[0, 0, 0, -343443, 73645522]$ |
\(y^2=x^3-343443x+73645522\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 137280.bq2 |
137280du4 |
137280.bq |
137280du |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{19} \cdot 3 \cdot 5 \cdot 11^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1572864$ |
$1.890610$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.00862$ |
$[0, -1, 0, -152641, -21770015]$ |
\(y^2=x^3-x^2-152641x-21770015\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$ |
$[]$ |
| 137280.dx2 |
137280ez3 |
137280.dx |
137280ez |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{19} \cdot 3 \cdot 5 \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$5.314419884$ |
$1$ |
|
$1$ |
$1572864$ |
$1.890610$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.00862$ |
$[0, 1, 0, -152641, 21770015]$ |
\(y^2=x^3+x^2-152641x+21770015\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$ |
$[(7714/5, 254463/5)]$ |
| 141570.dr2 |
141570cc3 |
141570.dr |
141570cc |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3^{7} \cdot 5 \cdot 11^{14} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$7864320$ |
$2.599144$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.71509$ |
$[1, -1, 1, -2597288, 1532246037]$ |
\(y^2+xy+y=x^3-x^2-2597288x+1532246037\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 264.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
| 167310.fq2 |
167310v4 |
167310.fq |
167310v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3^{7} \cdot 5 \cdot 11^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$11010048$ |
$2.682671$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.73293$ |
$[1, -1, 1, -3627617, -2527205781]$ |
\(y^2+xy+y=x^3-x^2-3627617x-2527205781\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.7, 312.24.0.?, 1560.48.0.? |
$[]$ |
| 171600.j2 |
171600dp4 |
171600.j |
171600dp |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 3 \cdot 5^{7} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$2.079912633$ |
$1$ |
|
$5$ |
$4718592$ |
$2.348755$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.39054$ |
$[0, -1, 0, -954008, -340633488]$ |
\(y^2=x^3-x^2-954008x-340633488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 312.24.0.?, $\ldots$ |
$[(-542, 4114)]$ |
| 210210.eh2 |
210210be4 |
210210.eh |
210210be |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2 \cdot 3 \cdot 5 \cdot 7^{6} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$2359296$ |
$1.823845$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$3.80389$ |
$[1, 0, 0, -116866, -14628034]$ |
\(y^2+xy=x^3-116866x-14628034\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, 280.24.0.?, $\ldots$ |
$[]$ |
| 235950.gy2 |
235950gy4 |
235950.gy |
235950gy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3 \cdot 5^{7} \cdot 11^{14} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$19.72467323$ |
$4$ |
$2$ |
$0$ |
$23592960$ |
$2.854557$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.76814$ |
$[1, 0, 0, -7214688, -7091326758]$ |
\(y^2+xy=x^3-7214688x-7091326758\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 88.12.0.?, 312.12.0.?, $\ldots$ |
$[(-393302071/472, 1355364507815/472)]$ |
| 278850.hb2 |
278850hb3 |
278850.hb |
278850hb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3 \cdot 5^{7} \cdot 11^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33030144$ |
$2.938084$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.78456$ |
$[1, 0, 0, -10076713, 11703385667]$ |
\(y^2+xy=x^3-10076713x+11703385667\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 40.12.0.bb.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 377520.fz2 |
377520fz3 |
377520.fz |
377520fz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{13} \cdot 3 \cdot 5 \cdot 11^{14} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$8.438014741$ |
$1$ |
|
$3$ |
$23592960$ |
$2.742985$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.48936$ |
$[0, 1, 0, -4617400, 3628912340]$ |
\(y^2=x^3+x^2-4617400x+3628912340\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 88.12.0.?, 312.12.0.?, $\ldots$ |
$[(9028, 835374)]$ |
| 411840.gz2 |
411840gz4 |
411840.gz |
411840gz |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{19} \cdot 3^{7} \cdot 5 \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$5.433369719$ |
$1$ |
|
$3$ |
$12582912$ |
$2.439915$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.17785$ |
$[0, 0, 0, -1373772, -589164176]$ |
\(y^2=x^3-1373772x-589164176\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(-571, 3015)]$ |
| 411840.np2 |
411840np3 |
411840.np |
411840np |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{19} \cdot 3^{7} \cdot 5 \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$6.086984838$ |
$1$ |
|
$3$ |
$12582912$ |
$2.439915$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.17785$ |
$[0, 0, 0, -1373772, 589164176]$ |
\(y^2=x^3-1373772x+589164176\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(2560, 117684)]$ |
| 446160.en2 |
446160en4 |
446160.en |
446160en |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{13} \cdot 3 \cdot 5 \cdot 11^{8} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$8.673890526$ |
$1$ |
|
$1$ |
$33030144$ |
$2.826511$ |
$1500376464746641/83599963590$ |
$0.93350$ |
$4.50876$ |
$[0, 1, 0, -6449096, -5994713100]$ |
\(y^2=x^3+x^2-6449096x-5994713100\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(-78441/7, 5194722/7)]$ |
