| 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 |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
| 1122.j1 |
1122m3 |
1122.j |
1122m |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.4, 3.8.0.2 |
2B, 3B.1.2 |
$1$ |
$9$ |
$3$ |
$1$ |
$34560$ |
$2.440945$ |
$505384091400037554067434625/815656731648$ |
$[1, 0, 0, -16594568, -26020768704]$ |
\(y^2+xy=x^3-16594568x-26020768704\) |
| 3366.f1 |
3366e3 |
3366.f |
3366e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.8.0.1 |
2B, 3B.1.1 |
$17.29304116$ |
$1$ |
|
$5$ |
$276480$ |
$2.990250$ |
$505384091400037554067434625/815656731648$ |
$[1, -1, 0, -149351112, 702560755008]$ |
\(y^2+xy=x^3-x^2-149351112x+702560755008\) |
| 8976.h1 |
8976m3 |
8976.h |
8976m |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{22} \cdot 3 \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$3.134090$ |
$505384091400037554067434625/815656731648$ |
$[0, -1, 0, -265513088, 1665329197056]$ |
\(y^2=x^3-x^2-265513088x+1665329197056\) |
| 12342.m1 |
12342n3 |
12342.m |
12342n |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 11^{7} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$1$ |
|
$1$ |
$4147200$ |
$3.639893$ |
$505384091400037554067434625/815656731648$ |
$[1, 0, 1, -2007942731, 34631635202294]$ |
\(y^2+xy+y=x^3-2007942731x+34631635202294\) |
| 19074.q1 |
19074n3 |
19074.q |
19074n |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 11 \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$9$ |
$3$ |
$1$ |
$9953280$ |
$3.857552$ |
$505384091400037554067434625/815656731648$ |
$[1, 1, 1, -4795830158, -127835240812597]$ |
\(y^2+xy+y=x^3+x^2-4795830158x-127835240812597\) |
| 26928.z1 |
26928br3 |
26928.z |
26928br |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{22} \cdot 3^{7} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$8.701575565$ |
$1$ |
|
$1$ |
$6635520$ |
$3.683399$ |
$505384091400037554067434625/815656731648$ |
$[0, 0, 0, -2389617795, -44961498702718]$ |
\(y^2=x^3-2389617795x-44961498702718\) |
| 28050.l1 |
28050n3 |
28050.l |
28050n |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$16.75631106$ |
$1$ |
|
$1$ |
$4976640$ |
$3.245663$ |
$505384091400037554067434625/815656731648$ |
$[1, 1, 0, -414864200, -3252596088000]$ |
\(y^2+xy=x^3+x^2-414864200x-3252596088000\) |
| 35904.z1 |
35904a3 |
35904.z |
35904a |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{28} \cdot 3 \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$95.16312643$ |
$1$ |
|
$1$ |
$6635520$ |
$3.480667$ |
$505384091400037554067434625/815656731648$ |
$[0, -1, 0, -1062052353, -13321571524095]$ |
\(y^2=x^3-x^2-1062052353x-13321571524095\) |
| 35904.ch1 |
35904cs3 |
35904.ch |
35904cs |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{28} \cdot 3 \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$9$ |
$3$ |
$1$ |
$6635520$ |
$3.480667$ |
$505384091400037554067434625/815656731648$ |
$[0, 1, 0, -1062052353, 13321571524095]$ |
\(y^2=x^3+x^2-1062052353x+13321571524095\) |
| 37026.bh1 |
37026y3 |
37026.bh |
37026y |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{7} \cdot 11^{7} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$9$ |
$3$ |
$1$ |
$33177600$ |
$4.189201$ |
$505384091400037554067434625/815656731648$ |
$[1, -1, 1, -18071484575, -935054150461945]$ |
\(y^2+xy+y=x^3-x^2-18071484575x-935054150461945\) |
| 54978.bo1 |
54978br3 |
54978.bo |
54978br |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 7^{6} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1.886020071$ |
$1$ |
|
$3$ |
$12441600$ |
$3.413898$ |
$505384091400037554067434625/815656731648$ |
$[1, 1, 1, -813133833, 8924310531639]$ |
\(y^2+xy+y=x^3+x^2-813133833x+8924310531639\) |
| 57222.m1 |
57222s3 |
57222.m |
57222s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$9.054778161$ |
$1$ |
|
$1$ |
$79626240$ |
$4.406860$ |
$505384091400037554067434625/815656731648$ |
$[1, -1, 0, -43162471422, 3451508339468692]$ |
\(y^2+xy=x^3-x^2-43162471422x+3451508339468692\) |
| 84150.er1 |
84150eu3 |
84150.er |
84150eu |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$2.514460689$ |
$1$ |
|
$3$ |
$39813120$ |
$3.794971$ |
$505384091400037554067434625/815656731648$ |
$[1, -1, 1, -3733777805, 87816360598197]$ |
\(y^2+xy+y=x^3-x^2-3733777805x+87816360598197\) |
| 98736.bl1 |
98736cg3 |
98736.bl |
98736cg |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{22} \cdot 3 \cdot 11^{7} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$16$ |
$2$ |
$1$ |
$99532800$ |
$4.333038$ |
$505384091400037554067434625/815656731648$ |
$[0, -1, 0, -32127083688, -2216424652946832]$ |
\(y^2=x^3-x^2-32127083688x-2216424652946832\) |
| 107712.ch1 |
107712ds3 |
107712.ch |
107712ds |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{28} \cdot 3^{7} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$16$ |
$2$ |
$1$ |
$53084160$ |
$4.029968$ |
$505384091400037554067434625/815656731648$ |
$[0, 0, 0, -9558471180, -359691989621744]$ |
\(y^2=x^3-9558471180x-359691989621744\) |
| 107712.cw1 |
107712cc3 |
107712.cw |
107712cc |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{28} \cdot 3^{7} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$1$ |
|
$1$ |
$53084160$ |
$4.029968$ |
$505384091400037554067434625/815656731648$ |
$[0, 0, 0, -9558471180, 359691989621744]$ |
\(y^2=x^3-9558471180x+359691989621744\) |
| 152592.cp1 |
152592s3 |
152592.cp |
152592s |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{22} \cdot 3 \cdot 11 \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$9$ |
$3$ |
$1$ |
$238878720$ |
$4.550697$ |
$505384091400037554067434625/815656731648$ |
$[0, 1, 0, -76733282528, 8181301945441140]$ |
\(y^2=x^3+x^2-76733282528x+8181301945441140\) |
| 164934.y1 |
164934dh3 |
164934.y |
164934dh |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{7} \cdot 7^{6} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$32.34408355$ |
$1$ |
|
$1$ |
$99532800$ |
$3.963207$ |
$505384091400037554067434625/815656731648$ |
$[1, -1, 0, -7318204497, -240963702558755]$ |
\(y^2+xy=x^3-x^2-7318204497x-240963702558755\) |
| 189618.p1 |
189618ba3 |
189618.p |
189618ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 11 \cdot 13^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$9$ |
$3$ |
$1$ |
$74649600$ |
$3.723419$ |
$505384091400037554067434625/815656731648$ |
$[1, 0, 1, -2804481996, -57164824360694]$ |
\(y^2+xy+y=x^3-2804481996x-57164824360694\) |
| 209814.o1 |
209814cw3 |
209814.o |
209814cw |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 11^{7} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$4$ |
$2$ |
$1$ |
$1194393600$ |
$5.056496$ |
$505384091400037554067434625/815656731648$ |
$[1, 1, 0, -580295449120, 170145804044320768]$ |
\(y^2+xy=x^3+x^2-580295449120x+170145804044320768\) |
| 224400.hn1 |
224400cr3 |
224400.hn |
224400cr |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{22} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$4$ |
$2$ |
$1$ |
$119439360$ |
$3.938812$ |
$505384091400037554067434625/815656731648$ |
$[0, 1, 0, -6637827208, 208152873977588]$ |
\(y^2=x^3+x^2-6637827208x+208152873977588\) |
| 296208.dn1 |
296208dn3 |
296208.dn |
296208dn |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{22} \cdot 3^{7} \cdot 11^{7} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$4$ |
$2$ |
$1$ |
$796262400$ |
$4.882347$ |
$505384091400037554067434625/815656731648$ |
$[0, 0, 0, -289143753195, 59843754773317658]$ |
\(y^2=x^3-289143753195x+59843754773317658\) |
| 308550.gr1 |
308550gr3 |
308550.gr |
308550gr |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 11^{7} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$3.962941815$ |
$1$ |
|
$1$ |
$597196800$ |
$4.444611$ |
$505384091400037554067434625/815656731648$ |
$[1, 1, 1, -50198568263, 4328954400286781]$ |
\(y^2+xy+y=x^3+x^2-50198568263x+4328954400286781\) |
| 394944.by1 |
394944by3 |
394944.by |
394944by |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{28} \cdot 3 \cdot 11^{7} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$12.31959544$ |
$1$ |
|
$1$ |
$796262400$ |
$4.679611$ |
$505384091400037554067434625/815656731648$ |
$[0, -1, 0, -128508334753, 17731525731909409]$ |
\(y^2=x^3-x^2-128508334753x+17731525731909409\) |
| 394944.hk1 |
394944hk3 |
394944.hk |
394944hk |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{28} \cdot 3 \cdot 11^{7} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$49.53843001$ |
$1$ |
|
$1$ |
$796262400$ |
$4.679611$ |
$505384091400037554067434625/815656731648$ |
$[0, 1, 0, -128508334753, -17731525731909409]$ |
\(y^2=x^3+x^2-128508334753x-17731525731909409\) |
| 405042.s1 |
405042s3 |
405042.s |
405042s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{10} \cdot 3 \cdot 11 \cdot 17^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$33.97549796$ |
$1$ |
|
$1$ |
$209018880$ |
$3.913166$ |
$505384091400037554067434625/815656731648$ |
$[1, 1, 0, -5990639055, 178464471262629]$ |
\(y^2+xy=x^3+x^2-5990639055x+178464471262629\) |
| 439824.es1 |
439824es3 |
439824.es |
439824es |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{22} \cdot 3 \cdot 7^{6} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$72.20513170$ |
$1$ |
|
$1$ |
$298598400$ |
$4.107048$ |
$505384091400037554067434625/815656731648$ |
$[0, 1, 0, -13010141328, -571181894307564]$ |
\(y^2=x^3+x^2-13010141328x-571181894307564\) |
| 457776.dd1 |
457776dd3 |
457776.dd |
457776dd |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{22} \cdot 3^{7} \cdot 11 \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$149.8973222$ |
$1$ |
|
$1$ |
$1911029760$ |
$5.100006$ |
$505384091400037554067434625/815656731648$ |
$[0, 0, 0, -690599542755, -220895843126453534]$ |
\(y^2=x^3-690599542755x-220895843126453534\) |
| 476850.fd1 |
476850fd3 |
476850.fd |
476850fd |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1$ |
$144$ |
$2, 3$ |
$1$ |
$1433272320$ |
$4.662270$ |
$505384091400037554067434625/815656731648$ |
$[1, 0, 1, -119895753951, -15979165310066702]$ |
\(y^2+xy+y=x^3-119895753951x-15979165310066702\) |
