| 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.w2 |
4290y3 |
4290.w |
4290y |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{12} \cdot 11^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1209600$ |
$3.484547$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$8.28141$ |
$[1, 0, 0, -221822211, -1271848724415]$ |
\(y^2+xy=x^3-221822211x-1271848724415\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 78.48.0.?, 88.6.0.?, $\ldots$ |
$[ ]$ |
| 12870.o2 |
12870bc3 |
12870.o |
12870bc |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{12} \cdot 11^{6} \cdot 13^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$3432$ |
$96$ |
$1$ |
$2.378363796$ |
$1$ |
|
$13$ |
$9676800$ |
$4.033852$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$8.01654$ |
$[1, -1, 0, -1996399899, 34339915559205]$ |
\(y^2+xy=x^3-x^2-1996399899x+34339915559205\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 78.48.0.?, 88.6.0.?, $\ldots$ |
$[(25846, 64517)]$ |
| 21450.q2 |
21450c3 |
21450.q |
21450c |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{18} \cdot 11^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$105.5139560$ |
$1$ |
|
$1$ |
$29030400$ |
$4.289268$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.91326$ |
$[1, 1, 0, -5545555275, -158981090551875]$ |
\(y^2+xy=x^3+x^2-5545555275x-158981090551875\) |
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, $\ldots$ |
$[(144514308755327932861596596820752356052098268950/1013248084678683207227, 44663156056894433810008050692577927669108118766119804965222227551627175/1013248084678683207227)]$ |
| 34320.k2 |
34320bg3 |
34320.k |
34320bg |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{22} \cdot 3^{5} \cdot 5^{12} \cdot 11^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$29030400$ |
$4.177696$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.42893$ |
$[0, -1, 0, -3549155376, 81398318362560]$ |
\(y^2=x^3-x^2-3549155376x+81398318362560\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 78.24.0.?, $\ldots$ |
$[ ]$ |
| 47190.bd2 |
47190ba3 |
47190.bd |
47190ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{12} \cdot 11^{12} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$10.33528526$ |
$1$ |
|
$1$ |
$145152000$ |
$4.683495$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.77309$ |
$[1, 0, 1, -26840487534, 1692803811708832]$ |
\(y^2+xy+y=x^3-26840487534x+1692803811708832\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.15, 33.8.0-3.a.1.1, $\ldots$ |
$[(2008661/7, 8814247035/7)]$ |
| 55770.bn2 |
55770bl3 |
55770.bn |
55770bl |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{12} \cdot 11^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$203212800$ |
$4.767021$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.74598$ |
$[1, 0, 1, -37487953663, -2794214159586094]$ |
\(y^2+xy+y=x^3-37487953663x-2794214159586094\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 39.8.0-3.a.1.2, 78.48.0.?, $\ldots$ |
$[ ]$ |
| 64350.ff2 |
64350ej3 |
64350.ff |
64350ej |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{18} \cdot 11^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$232243200$ |
$4.838570$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.72342$ |
$[1, -1, 1, -49909997480, 4292439534903147]$ |
\(y^2+xy+y=x^3-x^2-49909997480x+4292439534903147\) |
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, $\ldots$ |
$[ ]$ |
| 102960.ep2 |
102960eg3 |
102960.ep |
102960eg |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{22} \cdot 3^{11} \cdot 5^{12} \cdot 11^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$5.635187237$ |
$1$ |
|
$3$ |
$232243200$ |
$4.727005$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.29292$ |
$[0, 0, 0, -31942398387, -2197722653390734]$ |
\(y^2=x^3-31942398387x-2197722653390734\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 78.24.0.?, $\ldots$ |
$[(1711657, 2226631680)]$ |
| 137280.ca2 |
137280fu3 |
137280.ca |
137280fu |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{28} \cdot 3^{5} \cdot 5^{12} \cdot 11^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$9.615517326$ |
$1$ |
|
$3$ |
$232243200$ |
$4.524269$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$6.90991$ |
$[0, -1, 0, -14196621505, -651172350278975]$ |
\(y^2=x^3-x^2-14196621505x-651172350278975\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 78.24.0.?, $\ldots$ |
$[(414840, 254656765)]$ |
| 137280.he2 |
137280r3 |
137280.he |
137280r |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{28} \cdot 3^{5} \cdot 5^{12} \cdot 11^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$232243200$ |
$4.524269$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$6.90991$ |
$[0, 1, 0, -14196621505, 651172350278975]$ |
\(y^2=x^3+x^2-14196621505x+651172350278975\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 78.24.0.?, $\ldots$ |
$[ ]$ |
| 141570.ez2 |
141570ba3 |
141570.ez |
141570ba |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{12} \cdot 11^{12} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$18.12180634$ |
$1$ |
|
$1$ |
$1161216000$ |
$5.232803$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.60885$ |
$[1, -1, 1, -241564387802, -45705702916138471]$ |
\(y^2+xy+y=x^3-x^2-241564387802x-45705702916138471\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.7, 33.8.0-3.a.1.2, $\ldots$ |
$[(466703758977/239, 318185476476685289/239)]$ |
| 167310.ef2 |
167310bx3 |
167310.ef |
167310bx |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{12} \cdot 11^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$9.920256821$ |
$1$ |
|
$1$ |
$1625702400$ |
$5.316330$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.58650$ |
$[1, -1, 1, -337391582963, 75443782308824531]$ |
\(y^2+xy+y=x^3-x^2-337391582963x+75443782308824531\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 39.8.0-3.a.1.1, 78.48.0.?, $\ldots$ |
$[(249419401/25, 1028083378776/25)]$ |
| 171600.ej2 |
171600be3 |
171600.ej |
171600be |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{22} \cdot 3^{5} \cdot 5^{18} \cdot 11^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$696729600$ |
$4.982414$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.23812$ |
$[0, 1, 0, -88728884408, 10174612337551188]$ |
\(y^2=x^3+x^2-88728884408x+10174612337551188\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.2, 78.24.0.?, $\ldots$ |
$[ ]$ |
| 210210.dk2 |
210210cd3 |
210210.dk |
210210cd |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{12} \cdot 7^{6} \cdot 11^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$348364800$ |
$4.457504$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$6.60431$ |
$[1, 1, 1, -10869288340, 436233243186005]$ |
\(y^2+xy+y=x^3+x^2-10869288340x+436233243186005\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ |
$[ ]$ |
| 235950.eu2 |
235950eu3 |
235950.eu |
235950eu |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{18} \cdot 11^{12} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3483648000$ |
$5.488213$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.54242$ |
$[1, 1, 1, -671012188338, 211600476463604031]$ |
\(y^2+xy+y=x^3+x^2-671012188338x+211600476463604031\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 78.24.0.?, 88.6.0.?, $\ldots$ |
$[ ]$ |
| 278850.ex2 |
278850ex3 |
278850.ex |
278850ex |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{18} \cdot 11^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$25.76786391$ |
$1$ |
|
$1$ |
$4877107200$ |
$5.571739$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.52187$ |
$[1, 1, 1, -937198841563, -349276769948261719]$ |
\(y^2+xy+y=x^3+x^2-937198841563x-349276769948261719\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0-6.a.1.3, 78.24.0.?, $\ldots$ |
$[(180806344484125/569, 2431143853198069734558/569)]$ |
| 377520.b2 |
377520b3 |
377520.b |
377520b |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{22} \cdot 3^{5} \cdot 5^{12} \cdot 11^{12} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$144.1689592$ |
$1$ |
|
$1$ |
$3483648000$ |
$5.376640$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.16210$ |
$[0, -1, 0, -429447800536, -108339443949365264]$ |
\(y^2=x^3-x^2-429447800536x-108339443949365264\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 78.24.0.?, $\ldots$ |
$[(324425622382774397554780201223557250840956422544362634886367266754/101431940824613625152291800421, 184747324172360236897840728989590160285059691352349517310723693894121136500339300968936278336845750/101431940824613625152291800421)]$ |
| 411840.h2 |
411840h3 |
411840.h |
411840h |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{28} \cdot 3^{11} \cdot 5^{12} \cdot 11^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1857945600$ |
$5.073578$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$6.83259$ |
$[0, 0, 0, -127769593548, 17581781227125872]$ |
\(y^2=x^3-127769593548x+17581781227125872\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 78.24.0.?, $\ldots$ |
$[ ]$ |
| 411840.gf2 |
411840gf3 |
411840.gf |
411840gf |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{28} \cdot 3^{11} \cdot 5^{12} \cdot 11^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$49$ |
$7$ |
$1$ |
$1857945600$ |
$5.073578$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$6.83259$ |
$[0, 0, 0, -127769593548, -17581781227125872]$ |
\(y^2=x^3-127769593548x-17581781227125872\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 78.24.0.?, $\ldots$ |
$[ ]$ |
| 446160.ck2 |
446160ck3 |
446160.ck |
446160ck |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{22} \cdot 3^{5} \cdot 5^{12} \cdot 11^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$4.268280330$ |
$1$ |
|
$3$ |
$4877107200$ |
$5.460167$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$1.04813$ |
$7.14718$ |
$[0, -1, 0, -599807258600, 178829706213510000]$ |
\(y^2=x^3-x^2-599807258600x+178829706213510000\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 78.24.0.?, $\ldots$ |
$[(6892050, 17983873050)]$ |
