| 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.w3 |
4290y2 |
4290.w |
4290y |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{15} \cdot 3^{30} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$806400$ |
$3.281815$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$7.70256$ |
$[1, 0, 0, -44173571, -109748747199]$ |
\(y^2+xy=x^3-44173571x-109748747199\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 88.6.0.?, 156.48.0.?, $\ldots$ |
$[ ]$ |
| 12870.o3 |
12870bc2 |
12870.o |
12870bc |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{15} \cdot 3^{36} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$3432$ |
$96$ |
$1$ |
$14.27018277$ |
$1$ |
|
$0$ |
$6451200$ |
$3.831123$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$7.50489$ |
$[1, -1, 0, -397562139, 2963216174373]$ |
\(y^2+xy=x^3-x^2-397562139x+2963216174373\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 88.6.0.?, 156.48.0.?, $\ldots$ |
$[(4269223/18, 609124663/18)]$ |
| 21450.q3 |
21450c2 |
21450.q |
21450c |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{15} \cdot 3^{30} \cdot 5^{8} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$70.34263734$ |
$1$ |
|
$0$ |
$19353600$ |
$4.086533$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$7.42781$ |
$[1, 1, 0, -1104339275, -13718593399875]$ |
\(y^2+xy=x^3+x^2-1104339275x-13718593399875\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[(11936240324019854035427720420245/17413564358679, 10196634663457046210064816040883143577590719385/17413564358679)]$ |
| 34320.k3 |
34320bg2 |
34320.k |
34320bg |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{27} \cdot 3^{30} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$19353600$ |
$3.974964$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$6.96533$ |
$[0, -1, 0, -706777136, 7023919820736]$ |
\(y^2=x^3-x^2-706777136x+7023919820736\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 88.6.0.?, $\ldots$ |
$[ ]$ |
| 47190.bd3 |
47190ba2 |
47190.bd |
47190ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{15} \cdot 3^{30} \cdot 5^{2} \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1.722547544$ |
$1$ |
|
$4$ |
$96768000$ |
$4.480766$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$7.32321$ |
$[1, 0, 1, -5345002094, 146070237519776]$ |
\(y^2+xy+y=x^3-5345002094x+146070237519776\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.12, 33.8.0-3.a.1.2, $\ldots$ |
$[(33318, 2213068)]$ |
| 55770.bn3 |
55770bl2 |
55770.bn |
55770bl |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{30} \cdot 5^{2} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$135475200$ |
$4.564293$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$7.30298$ |
$[1, 0, 1, -7465333503, -241110532262702]$ |
\(y^2+xy+y=x^3-7465333503x-241110532262702\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 39.8.0-3.a.1.1, $\ldots$ |
$[ ]$ |
| 64350.ff3 |
64350ej2 |
64350.ff |
64350ej |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{15} \cdot 3^{36} \cdot 5^{8} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$154828800$ |
$4.635841$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$7.28614$ |
$[1, -1, 1, -9939053480, 370392082743147]$ |
\(y^2+xy+y=x^3-x^2-9939053480x+370392082743147\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[ ]$ |
| 102960.ep3 |
102960eg2 |
102960.ep |
102960eg |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{27} \cdot 3^{36} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$33.81112342$ |
$1$ |
|
$1$ |
$154828800$ |
$4.524269$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$6.87344$ |
$[0, 0, 0, -6360994227, -189639474165646]$ |
\(y^2=x^3-6360994227x-189639474165646\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 88.6.0.?, $\ldots$ |
$[(-12943214368429838/527047, 346106359725945174498870/527047)]$ |
| 137280.ca3 |
137280fu2 |
137280.ca |
137280fu |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{33} \cdot 3^{30} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$57.69310396$ |
$1$ |
|
$1$ |
$154828800$ |
$4.321533$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$6.50064$ |
$[0, -1, 0, -2827108545, -56188531457343]$ |
\(y^2=x^3-x^2-2827108545x-56188531457343\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 88.6.0.?, $\ldots$ |
$[(17150591640733530510009616/16471883773, 18787016238316589578308258128044132035/16471883773)]$ |
| 137280.he3 |
137280r2 |
137280.he |
137280r |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{33} \cdot 3^{30} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$154828800$ |
$4.321533$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$6.50064$ |
$[0, 1, 0, -2827108545, 56188531457343]$ |
\(y^2=x^3+x^2-2827108545x+56188531457343\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 66.24.0-6.a.1.3, $\ldots$ |
$[ ]$ |
| 141570.ez3 |
141570ba2 |
141570.ez |
141570ba |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{15} \cdot 3^{36} \cdot 5^{2} \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$12.08120423$ |
$1$ |
|
$2$ |
$774144000$ |
$5.030067$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$7.20064$ |
$[1, -1, 1, -48105018842, -3943896413033959]$ |
\(y^2+xy+y=x^3-x^2-48105018842x-3943896413033959\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.4, 33.8.0-3.a.1.1, $\ldots$ |
$[(8165611, 23321081749)]$ |
| 167310.ef3 |
167310bx2 |
167310.ef |
167310bx |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{36} \cdot 5^{2} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$6.613504547$ |
$1$ |
|
$2$ |
$1083801600$ |
$5.113594$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$7.18397$ |
$[1, -1, 1, -67188001523, 6509984371092947]$ |
\(y^2+xy+y=x^3-x^2-67188001523x+6509984371092947\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 39.8.0-3.a.1.2, $\ldots$ |
$[(275467, 94227810)]$ |
| 171600.ej3 |
171600be2 |
171600.ej |
171600be |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{27} \cdot 3^{30} \cdot 5^{8} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$464486400$ |
$4.779678$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$6.83643$ |
$[0, 1, 0, -17669428408, 877954638735188]$ |
\(y^2=x^3+x^2-17669428408x+877954638735188\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.4, 88.6.0.?, $\ldots$ |
$[ ]$ |
| 210210.dk3 |
210210cd2 |
210210.dk |
210210cd |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{15} \cdot 3^{30} \cdot 5^{2} \cdot 7^{6} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$232243200$ |
$4.254768$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$6.20927$ |
$[1, 1, 1, -2164504980, 37641655784277]$ |
\(y^2+xy+y=x^3+x^2-2164504980x+37641655784277\) |
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, $\ldots$ |
$[ ]$ |
| 235950.eu3 |
235950eu2 |
235950.eu |
235950eu |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{15} \cdot 3^{30} \cdot 5^{8} \cdot 11^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2322432000$ |
$5.285484$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$7.15107$ |
$[1, 1, 1, -133625052338, 18258779689972031]$ |
\(y^2+xy+y=x^3+x^2-133625052338x+18258779689972031\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 88.6.0.?, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 278850.ex3 |
278850ex2 |
278850.ex |
278850ex |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{30} \cdot 5^{8} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$17.17857594$ |
$1$ |
|
$0$ |
$3251404800$ |
$5.369011$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$7.13573$ |
$[1, 1, 1, -186633337563, -30138816532837719]$ |
\(y^2+xy+y=x^3+x^2-186633337563x-30138816532837719\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.9, 88.6.0.?, $\ldots$ |
$[(204091085/17, 2141217980046/17)]$ |
| 377520.b3 |
377520b2 |
377520.b |
377520b |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{27} \cdot 3^{30} \cdot 5^{2} \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$24.02815987$ |
$1$ |
|
$1$ |
$2322432000$ |
$5.173912$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$6.78507$ |
$[0, -1, 0, -85520033496, -9348495201265680]$ |
\(y^2=x^3-x^2-85520033496x-9348495201265680\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 88.6.0.?, $\ldots$ |
$[(-131889992074708/29287, 323577248254521564160/29287)]$ |
| 411840.h3 |
411840h2 |
411840.h |
411840h |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{33} \cdot 3^{36} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1238630400$ |
$4.870842$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$6.45810$ |
$[0, 0, 0, -25443976908, 1517115793325168]$ |
\(y^2=x^3-25443976908x+1517115793325168\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 88.6.0.?, $\ldots$ |
$[ ]$ |
| 411840.gf3 |
411840gf2 |
411840.gf |
411840gf |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{33} \cdot 3^{36} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$49$ |
$7$ |
$1$ |
$1238630400$ |
$4.870842$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$6.45810$ |
$[0, 0, 0, -25443976908, -1517115793325168]$ |
\(y^2=x^3-25443976908x-1517115793325168\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 66.24.0-6.a.1.4, $\ldots$ |
$[ ]$ |
| 446160.ck3 |
446160ck2 |
446160.ck |
446160ck |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{27} \cdot 3^{30} \cdot 5^{2} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$25.60968198$ |
$1$ |
|
$1$ |
$3251404800$ |
$5.257439$ |
$9532597152396244075685450929/313550122650789880627200$ |
$1.03874$ |
$6.77499$ |
$[0, -1, 0, -119445336040, 15431074064812912]$ |
\(y^2=x^3-x^2-119445336040x+15431074064812912\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 88.6.0.?, $\ldots$ |
$[(12247739629618/3933, 39297797899638762302/3933)]$ |
