| 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 |
| 29624.a1 |
29624k1 |
29624.a |
29624k |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 7^{18} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.139061293$ |
$1$ |
|
$0$ |
$12925440$ |
$3.658070$ |
$100718081964000000/37453512751940327$ |
$1.16350$ |
$6.52665$ |
$[0, 0, 0, 12920825, 452803434067]$ |
\(y^2=x^3+12920825x+452803434067\) |
46.2.0.a.1 |
$[(-57569/3, 8890903/3)]$ |
| 29624.b1 |
29624q1 |
29624.b |
29624q |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 7^{2} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$354816$ |
$1.596449$ |
$1029037824/596183$ |
$1.06789$ |
$4.11189$ |
$[0, 0, 0, 28037, 60835]$ |
\(y^2=x^3+28037x+60835\) |
46.2.0.a.1 |
$[]$ |
| 29624.c1 |
29624o2 |
29624.c |
29624o |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 23^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1.708793884$ |
$1$ |
|
$13$ |
$10752$ |
$0.457698$ |
$1431644/49$ |
$0.94490$ |
$2.96341$ |
$[0, 1, 0, -544, 4560]$ |
\(y^2=x^3+x^2-544x+4560\) |
2.3.0.a.1, 28.6.0.e.1, 92.6.0.?, 644.12.0.? |
$[(8, 28), (-13, 98)]$ |
| 29624.c2 |
29624o1 |
29624.c |
29624o |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{8} \cdot 7 \cdot 23^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1.708793884$ |
$1$ |
|
$13$ |
$5376$ |
$0.111124$ |
$21296/7$ |
$0.66115$ |
$2.42008$ |
$[0, 1, 0, -84, -224]$ |
\(y^2=x^3+x^2-84x-224\) |
2.3.0.a.1, 28.6.0.e.1, 92.6.0.?, 322.6.0.?, 644.12.0.? |
$[(-6, 10), (-4, 8)]$ |
| 29624.d1 |
29624f2 |
29624.d |
29624f |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7^{10} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2027520$ |
$3.037258$ |
$263822189935250/149429406721$ |
$1.01471$ |
$5.79273$ |
$[0, 1, 0, -8976248, -1512187664]$ |
\(y^2=x^3+x^2-8976248x-1512187664\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
| 29624.d2 |
29624f1 |
29624.d |
29624f |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{10} \cdot 7^{5} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1013760$ |
$2.690685$ |
$7953970437500/4703287687$ |
$1.05161$ |
$5.38532$ |
$[0, 1, 0, 2217392, -186860688]$ |
\(y^2=x^3+x^2+2217392x-186860688\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
| 29624.e1 |
29624m2 |
29624.e |
29624m |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$9.497448332$ |
$1$ |
|
$1$ |
$247296$ |
$2.025444$ |
$1431644/49$ |
$0.94490$ |
$4.79056$ |
$[0, 1, 0, -287952, -57784688]$ |
\(y^2=x^3+x^2-287952x-57784688\) |
2.3.0.a.1, 28.6.0.e.1, 92.6.0.?, 644.12.0.? |
$[(29984/5, 4547548/5)]$ |
| 29624.e2 |
29624m1 |
29624.e |
29624m |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{8} \cdot 7 \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$4.748724166$ |
$1$ |
|
$3$ |
$123648$ |
$1.678871$ |
$21296/7$ |
$0.66115$ |
$4.24723$ |
$[0, 1, 0, -44612, 2368960]$ |
\(y^2=x^3+x^2-44612x+2368960\) |
2.3.0.a.1, 28.6.0.e.1, 92.6.0.?, 322.6.0.?, 644.12.0.? |
$[(226, 1970)]$ |
| 29624.f1 |
29624h2 |
29624.f |
29624h |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$23.15140863$ |
$1$ |
|
$1$ |
$135168$ |
$1.903688$ |
$50668941906/1127$ |
$1.02051$ |
$4.96158$ |
$[0, 0, 0, -517891, -143448930]$ |
\(y^2=x^3-517891x-143448930\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(11270327158/403, 1196413589240082/403)]$ |
| 29624.f2 |
29624h1 |
29624.f |
29624h |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{10} \cdot 7 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$11.57570431$ |
$1$ |
|
$1$ |
$67584$ |
$1.557114$ |
$-22180932/3703$ |
$0.93538$ |
$4.16776$ |
$[0, 0, 0, -31211, -2409066]$ |
\(y^2=x^3-31211x-2409066\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(200279/31, 11073712/31)]$ |
| 29624.g1 |
29624n4 |
29624.g |
29624n |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$101376$ |
$1.565714$ |
$1443468546/7$ |
$1.04654$ |
$4.61600$ |
$[0, 0, 0, -158171, -24212330]$ |
\(y^2=x^3-158171x-24212330\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 184.24.0.?, $\ldots$ |
$[]$ |
| 29624.g2 |
29624n3 |
29624.g |
29624n |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$101376$ |
$1.565714$ |
$11090466/2401$ |
$1.11706$ |
$4.14314$ |
$[0, 0, 0, -31211, 1679046]$ |
\(y^2=x^3-31211x+1679046\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 92.12.0.?, $\ldots$ |
$[]$ |
| 29624.g3 |
29624n2 |
29624.g |
29624n |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$50688$ |
$1.219141$ |
$740772/49$ |
$1.06534$ |
$3.81299$ |
$[0, 0, 0, -10051, -365010]$ |
\(y^2=x^3-10051x-365010\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 92.12.0.?, $\ldots$ |
$[]$ |
| 29624.g4 |
29624n1 |
29624.g |
29624n |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$25344$ |
$0.872567$ |
$432/7$ |
$0.89152$ |
$3.27518$ |
$[0, 0, 0, 529, -24334]$ |
\(y^2=x^3+529x-24334\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 29624.h1 |
29624a1 |
29624.h |
29624a |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{10} \cdot 7^{4} \cdot 23^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$3.519065068$ |
$1$ |
|
$4$ |
$194304$ |
$2.004929$ |
$3306204/2401$ |
$0.87211$ |
$4.56733$ |
$[0, 0, 0, 133837, -9514594]$ |
\(y^2=x^3+133837x-9514594\) |
4.16.0-4.b.1.1 |
$[(529/2, 25921/2), (71, 588)]$ |
| 29624.i1 |
29624g1 |
29624.i |
29624g |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{10} \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$92$ |
$16$ |
$0$ |
$0.730372854$ |
$1$ |
|
$4$ |
$8448$ |
$0.437183$ |
$3306204/2401$ |
$0.87211$ |
$2.74017$ |
$[0, 0, 0, 253, 782]$ |
\(y^2=x^3+253x+782\) |
4.8.0.b.1, 92.16.0.? |
$[(31, 196)]$ |
| 29624.j1 |
29624c1 |
29624.j |
29624c |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 7^{2} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.471437535$ |
$1$ |
|
$10$ |
$4608$ |
$0.069922$ |
$-340736/49$ |
$0.72717$ |
$2.44163$ |
$[0, 1, 0, -84, 305]$ |
\(y^2=x^3+x^2-84x+305\) |
46.2.0.a.1 |
$[(4, 7), (-8, 23)]$ |
| 29624.k1 |
29624b1 |
29624.k |
29624b |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 7^{2} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50688$ |
$1.216835$ |
$-157216000/1127$ |
$0.78840$ |
$3.93062$ |
$[0, 1, 0, -14988, -715639]$ |
\(y^2=x^3+x^2-14988x-715639\) |
46.2.0.a.1 |
$[]$ |
| 29624.l1 |
29624i1 |
29624.l |
29624i |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 7^{2} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$6.192669385$ |
$1$ |
|
$0$ |
$105984$ |
$1.637669$ |
$-340736/49$ |
$0.72717$ |
$4.26878$ |
$[0, 1, 0, -44612, -4067383]$ |
\(y^2=x^3+x^2-44612x-4067383\) |
46.2.0.a.1 |
$[(55136/13, 8845409/13)]$ |
| 29624.m1 |
29624e2 |
29624.m |
29624e |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 7^{6} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$506880$ |
$2.073879$ |
$5756278756/2705927$ |
$0.89317$ |
$4.68302$ |
$[0, -1, 0, -199080, 14878556]$ |
\(y^2=x^3-x^2-199080x+14878556\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
| 29624.m2 |
29624e1 |
29624.m |
29624e |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7^{3} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$253440$ |
$1.727306$ |
$253012016/181447$ |
$0.84073$ |
$4.24492$ |
$[0, -1, 0, 44260, 1738196]$ |
\(y^2=x^3-x^2+44260x+1738196\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[]$ |
| 29624.n1 |
29624l2 |
29624.n |
29624l |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7^{6} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$23.60561443$ |
$1$ |
|
$1$ |
$506880$ |
$2.451111$ |
$1030541881826/62236321$ |
$0.92068$ |
$5.25417$ |
$[0, -1, 0, -1413664, -611787540]$ |
\(y^2=x^3-x^2-1413664x-611787540\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(-356103102747/20966, 9759302853254661/20966)]$ |
| 29624.n2 |
29624l1 |
29624.n |
29624l |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 7^{3} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$47.21122887$ |
$1$ |
|
$1$ |
$253440$ |
$2.104538$ |
$1969910093092/7889$ |
$0.91859$ |
$5.24977$ |
$[0, -1, 0, -1392504, -632008036]$ |
\(y^2=x^3-x^2-1392504x-632008036\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(-3342383558471833465631/2213883804, 169349326335318597900793070761/2213883804)]$ |
| 29624.o1 |
29624j2 |
29624.o |
29624j |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$9.715815151$ |
$1$ |
|
$1$ |
$168960$ |
$1.770992$ |
$12576878500/1127$ |
$0.87137$ |
$4.75893$ |
$[0, -1, 0, -258328, -50446596]$ |
\(y^2=x^3-x^2-258328x-50446596\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(1476429/50, 202328217/50)]$ |
| 29624.o2 |
29624j1 |
29624.o |
29624j |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$19.43163030$ |
$1$ |
|
$1$ |
$84480$ |
$1.424417$ |
$-9826000/3703$ |
$0.75859$ |
$3.97813$ |
$[0, -1, 0, -14988, -902572]$ |
\(y^2=x^3-x^2-14988x-902572\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(12625720994/467, 1418664034990800/467)]$ |
| 29624.p1 |
29624d2 |
29624.p |
29624d |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$90112$ |
$1.333078$ |
$3543122/49$ |
$1.08036$ |
$4.03232$ |
$[0, -1, 0, -21336, 1192268]$ |
\(y^2=x^3-x^2-21336x+1192268\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
| 29624.p2 |
29624d1 |
29624.p |
29624d |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{10} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$45056$ |
$0.986505$ |
$-4/7$ |
$1.03482$ |
$3.41339$ |
$[0, -1, 0, -176, 49628]$ |
\(y^2=x^3-x^2-176x+49628\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
| 29624.q1 |
29624p1 |
29624.q |
29624p |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 7^{8} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1419264$ |
$2.678482$ |
$-4124632486295808/70140333767$ |
$1.00005$ |
$5.59133$ |
$[0, 0, 0, -4453651, -3670382389]$ |
\(y^2=x^3-4453651x-3670382389\) |
46.2.0.a.1 |
$[]$ |
