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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
59248.a1 |
59248i1 |
59248.a |
59248i |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 7^{8} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2838528$ |
$2.678482$ |
$-4124632486295808/70140333767$ |
$[0, 0, 0, -4453651, 3670382389]$ |
\(y^2=x^3-4453651x+3670382389\) |
46.2.0.a.1 |
$[]$ |
59248.b1 |
59248q2 |
59248.b |
59248q |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 7^{6} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1.130328436$ |
$1$ |
|
$5$ |
$1013760$ |
$2.073879$ |
$5756278756/2705927$ |
$[0, 1, 0, -199080, -14878556]$ |
\(y^2=x^3+x^2-199080x-14878556\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(567, 7406)]$ |
59248.b2 |
59248q1 |
59248.b |
59248q |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7^{3} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$2.260656872$ |
$1$ |
|
$3$ |
$506880$ |
$1.727306$ |
$253012016/181447$ |
$[0, 1, 0, 44260, -1738196]$ |
\(y^2=x^3+x^2+44260x-1738196\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(1510, 59248)]$ |
59248.c1 |
59248v1 |
59248.c |
59248v |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7^{4} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.4.0.2 |
|
$8$ |
$4$ |
$0$ |
$4.363761721$ |
$1$ |
|
$0$ |
$1324800$ |
$2.357246$ |
$-226796578768/2401$ |
$[0, 1, 0, -3451372, 2466819144]$ |
\(y^2=x^3+x^2-3451372x+2466819144\) |
4.2.0.a.1, 8.4.0-4.a.1.1 |
$[(4301/2, 1813/2)]$ |
59248.d1 |
59248o2 |
59248.d |
59248o |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7^{6} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1.556866080$ |
$1$ |
|
$3$ |
$1013760$ |
$2.451111$ |
$1030541881826/62236321$ |
$[0, 1, 0, -1413664, 611787540]$ |
\(y^2=x^3+x^2-1413664x+611787540\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(84, 22218)]$ |
59248.d2 |
59248o1 |
59248.d |
59248o |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 7^{3} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$0.778433040$ |
$1$ |
|
$5$ |
$506880$ |
$2.104538$ |
$1969910093092/7889$ |
$[0, 1, 0, -1392504, 632008036]$ |
\(y^2=x^3+x^2-1392504x+632008036\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(1510, 44436)]$ |
59248.e1 |
59248f2 |
59248.e |
59248f |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$337920$ |
$1.770992$ |
$12576878500/1127$ |
$[0, 1, 0, -258328, 50446596]$ |
\(y^2=x^3+x^2-258328x+50446596\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
59248.e2 |
59248f1 |
59248.e |
59248f |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7 \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$168960$ |
$1.424417$ |
$-9826000/3703$ |
$[0, 1, 0, -14988, 902572]$ |
\(y^2=x^3+x^2-14988x+902572\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[]$ |
59248.f1 |
59248bc2 |
59248.f |
59248bc |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{19} \cdot 7^{2} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2838528$ |
$2.781647$ |
$24553362849625/1755162752$ |
$[0, 1, 0, -5125128, 4179245044]$ |
\(y^2=x^3+x^2-5125128x+4179245044\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
59248.f2 |
59248bc1 |
59248.f |
59248bc |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{26} \cdot 7 \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1419264$ |
$2.435074$ |
$4533086375/60669952$ |
$[0, 1, 0, 291832, 285534196]$ |
\(y^2=x^3+x^2+291832x+285534196\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
59248.g1 |
59248bd2 |
59248.g |
59248bd |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{13} \cdot 7^{2} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$608256$ |
$1.886206$ |
$304821217/51842$ |
$[0, 1, 0, -118672, -13261932]$ |
\(y^2=x^3+x^2-118672x-13261932\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[]$ |
59248.g2 |
59248bd1 |
59248.g |
59248bd |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{14} \cdot 7 \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$304128$ |
$1.539631$ |
$7189057/644$ |
$[0, 1, 0, -34032, 2210260]$ |
\(y^2=x^3+x^2-34032x+2210260\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[]$ |
59248.h1 |
59248be1 |
59248.h |
59248be |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$184$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$0.789498$ |
$-226796578768/2401$ |
$[0, 1, 0, -6524, -205016]$ |
\(y^2=x^3+x^2-6524x-205016\) |
4.2.0.a.1, 184.4.0.? |
$[]$ |
59248.i1 |
59248p2 |
59248.i |
59248p |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$2.018780815$ |
$1$ |
|
$3$ |
$180224$ |
$1.333078$ |
$3543122/49$ |
$[0, 1, 0, -21336, -1192268]$ |
\(y^2=x^3+x^2-21336x-1192268\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(498, 10580)]$ |
59248.i2 |
59248p1 |
59248.i |
59248p |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{10} \cdot 7 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$4.037561630$ |
$1$ |
|
$3$ |
$90112$ |
$0.986505$ |
$-4/7$ |
$[0, 1, 0, -176, -49628]$ |
\(y^2=x^3+x^2-176x-49628\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(88, 790)]$ |
59248.j1 |
59248l1 |
59248.j |
59248l |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 7^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.045186624$ |
$1$ |
|
$2$ |
$9216$ |
$0.069922$ |
$-340736/49$ |
$[0, -1, 0, -84, -305]$ |
\(y^2=x^3-x^2-84x-305\) |
46.2.0.a.1 |
$[(31, 161)]$ |
59248.k1 |
59248k1 |
59248.k |
59248k |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 7^{2} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.508107577$ |
$1$ |
|
$2$ |
$101376$ |
$1.216835$ |
$-157216000/1127$ |
$[0, -1, 0, -14988, 715639]$ |
\(y^2=x^3-x^2-14988x+715639\) |
46.2.0.a.1 |
$[(31, 529)]$ |
59248.l1 |
59248t1 |
59248.l |
59248t |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 7^{4} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$2.001806534$ |
$1$ |
|
$2$ |
$101376$ |
$1.388519$ |
$1257728/55223$ |
$[0, -1, 0, 2998, -547613]$ |
\(y^2=x^3-x^2+2998x-547613\) |
46.2.0.a.1 |
$[(2561, 129605)]$ |
59248.m1 |
59248d1 |
59248.m |
59248d |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 7^{2} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$211968$ |
$1.637669$ |
$-340736/49$ |
$[0, -1, 0, -44612, 4067383]$ |
\(y^2=x^3-x^2-44612x+4067383\) |
46.2.0.a.1 |
$[]$ |
59248.n1 |
59248c4 |
59248.n |
59248c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$202752$ |
$1.565714$ |
$1443468546/7$ |
$[0, 0, 0, -158171, 24212330]$ |
\(y^2=x^3-158171x+24212330\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 184.24.0.?, $\ldots$ |
$[]$ |
59248.n2 |
59248c3 |
59248.n |
59248c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$202752$ |
$1.565714$ |
$11090466/2401$ |
$[0, 0, 0, -31211, -1679046]$ |
\(y^2=x^3-31211x-1679046\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 92.12.0.?, $\ldots$ |
$[]$ |
59248.n3 |
59248c2 |
59248.n |
59248c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$101376$ |
$1.219141$ |
$740772/49$ |
$[0, 0, 0, -10051, 365010]$ |
\(y^2=x^3-10051x+365010\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 92.12.0.?, $\ldots$ |
$[]$ |
59248.n4 |
59248c1 |
59248.n |
59248c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$50688$ |
$0.872567$ |
$432/7$ |
$[0, 0, 0, 529, 24334]$ |
\(y^2=x^3+529x+24334\) |
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, $\ldots$ |
$[]$ |
59248.o1 |
59248b2 |
59248.o |
59248b |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7^{2} \cdot 23^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$4.157272042$ |
$1$ |
|
$11$ |
$270336$ |
$1.903688$ |
$50668941906/1127$ |
$[0, 0, 0, -517891, 143448930]$ |
\(y^2=x^3-517891x+143448930\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(322, 3174), (407, 294)]$ |
59248.o2 |
59248b1 |
59248.o |
59248b |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{10} \cdot 7 \cdot 23^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$4.157272042$ |
$1$ |
|
$11$ |
$135168$ |
$1.557114$ |
$-22180932/3703$ |
$[0, 0, 0, -31211, 2409066]$ |
\(y^2=x^3-31211x+2409066\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(-115, 2116), (1081/3, 16928/3)]$ |
59248.p1 |
59248y4 |
59248.p |
59248y |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{12} \cdot 7^{4} \cdot 23^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$675840$ |
$2.155262$ |
$209267191953/55223$ |
$[0, 0, 0, -1046891, 412193626]$ |
\(y^2=x^3-1046891x+412193626\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.z.1.13, 92.24.0.?, 1288.48.0.? |
$[]$ |
59248.p2 |
59248y2 |
59248.p |
59248y |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{12} \cdot 7^{2} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$644$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$337920$ |
$1.808687$ |
$72511713/25921$ |
$[0, 0, 0, -73531, 4745130]$ |
\(y^2=x^3-73531x+4745130\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.3, 92.24.0.?, 644.48.0.? |
$[]$ |
59248.p3 |
59248y1 |
59248.p |
59248y |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{12} \cdot 7 \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$168960$ |
$1.462112$ |
$5545233/161$ |
$[0, 0, 0, -31211, -2068390]$ |
\(y^2=x^3-31211x-2068390\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.5, 184.24.0.?, 322.6.0.?, $\ldots$ |
$[]$ |
59248.p4 |
59248y3 |
59248.p |
59248y |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{12} \cdot 7 \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$675840$ |
$2.155262$ |
$2014698447/1958887$ |
$[0, 0, 0, 222709, 33361914]$ |
\(y^2=x^3+222709x+33361914\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
59248.q1 |
59248j1 |
59248.q |
59248j |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{10} \cdot 7^{4} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$3.398123726$ |
$1$ |
|
$2$ |
$388608$ |
$2.004929$ |
$3306204/2401$ |
$[0, 0, 0, 133837, 9514594]$ |
\(y^2=x^3+133837x+9514594\) |
4.16.0-4.b.1.1 |
$[(27, 3626)]$ |
59248.r1 |
59248r2 |
59248.r |
59248r |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{14} \cdot 7^{4} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$1288$ |
$48$ |
$1$ |
$2.903232975$ |
$1$ |
|
$3$ |
$55296$ |
$1.058214$ |
$926859375/9604$ |
$[0, 0, 0, -7475, 246514]$ |
\(y^2=x^3-7475x+246514\) |
2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.? |
$[(55, 42)]$ |
59248.r2 |
59248r1 |
59248.r |
59248r |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{16} \cdot 7^{2} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1288$ |
$48$ |
$1$ |
$1.451616487$ |
$1$ |
|
$5$ |
$27648$ |
$0.711641$ |
$-3375/784$ |
$[0, 0, 0, -115, 9522]$ |
\(y^2=x^3-115x+9522\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 28.12.0.n.1, 46.6.0.a.1, $\ldots$ |
$[(9, 96)]$ |
59248.s1 |
59248w2 |
59248.s |
59248w |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{14} \cdot 7^{4} \cdot 23^{9} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$1288$ |
$48$ |
$1$ |
$22.75610304$ |
$1$ |
|
$5$ |
$1271808$ |
$2.625961$ |
$926859375/9604$ |
$[0, 0, 0, -3954275, -2999335838]$ |
\(y^2=x^3-3954275x-2999335838\) |
2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.? |
$[(-1233, 1330), (-1086, 3766)]$ |
59248.s2 |
59248w1 |
59248.s |
59248w |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{16} \cdot 7^{2} \cdot 23^{9} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1288$ |
$48$ |
$1$ |
$22.75610304$ |
$1$ |
|
$5$ |
$635904$ |
$2.279388$ |
$-3375/784$ |
$[0, 0, 0, -60835, -115854174]$ |
\(y^2=x^3-60835x-115854174\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 28.12.0.n.1, 46.6.0.a.1, $\ldots$ |
$[(817, 19488), (2097, 94752)]$ |
59248.t1 |
59248a1 |
59248.t |
59248a |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{10} \cdot 7^{4} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$92$ |
$16$ |
$0$ |
$2.916852513$ |
$1$ |
|
$10$ |
$16896$ |
$0.437183$ |
$3306204/2401$ |
$[0, 0, 0, 253, -782]$ |
\(y^2=x^3+253x-782\) |
4.8.0.b.1, 92.16.0.? |
$[(18, 98), (3, 2)]$ |
59248.u1 |
59248x2 |
59248.u |
59248x |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{13} \cdot 7^{6} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1216512$ |
$2.413902$ |
$1494447319737/5411854$ |
$[0, 0, 0, -2016019, 1098315090]$ |
\(y^2=x^3-2016019x+1098315090\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
59248.u2 |
59248x1 |
59248.u |
59248x |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{14} \cdot 7^{3} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$608256$ |
$2.067326$ |
$-60698457/725788$ |
$[0, 0, 0, -69299, 32680562]$ |
\(y^2=x^3-69299x+32680562\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
59248.v1 |
59248ba1 |
59248.v |
59248ba |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{19} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$0.632894$ |
$8947391/6272$ |
$[0, 1, 0, 560, -2156]$ |
\(y^2=x^3+x^2+560x-2156\) |
8.2.0.a.1 |
$[]$ |
59248.w1 |
59248z1 |
59248.w |
59248z |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 7^{2} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50688$ |
$1.064335$ |
$32000/1127$ |
$[0, 1, 0, 882, -77665]$ |
\(y^2=x^3+x^2+882x-77665\) |
46.2.0.a.1 |
$[]$ |
59248.x1 |
59248s1 |
59248.x |
59248s |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{19} \cdot 7^{2} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$4.676489941$ |
$1$ |
|
$2$ |
$1112832$ |
$2.200642$ |
$8947391/6272$ |
$[0, 1, 0, 296064, 28601012]$ |
\(y^2=x^3+x^2+296064x+28601012\) |
8.2.0.a.1 |
$[(-92, 770)]$ |
59248.y1 |
59248e2 |
59248.y |
59248e |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$0.457698$ |
$1431644/49$ |
$[0, -1, 0, -544, -4560]$ |
\(y^2=x^3-x^2-544x-4560\) |
2.3.0.a.1, 28.6.0.e.1, 92.6.0.?, 644.12.0.? |
$[]$ |
59248.y2 |
59248e1 |
59248.y |
59248e |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{8} \cdot 7 \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$0.111124$ |
$21296/7$ |
$[0, -1, 0, -84, 224]$ |
\(y^2=x^3-x^2-84x+224\) |
2.3.0.a.1, 28.6.0.e.1, 92.6.0.?, 322.6.0.?, 644.12.0.? |
$[]$ |
59248.z1 |
59248bb6 |
59248.z |
59248bb |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{21} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$11592$ |
$864$ |
$21$ |
$1$ |
$9$ |
$3$ |
$1$ |
$1824768$ |
$2.673996$ |
$2251439055699625/25088$ |
$[0, -1, 0, -23111128, -42756445200]$ |
\(y^2=x^3-x^2-23111128x-42756445200\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
59248.z2 |
59248bb5 |
59248.z |
59248bb |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{30} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$11592$ |
$864$ |
$21$ |
$1$ |
$9$ |
$3$ |
$1$ |
$912384$ |
$2.327423$ |
$-548347731625/1835008$ |
$[0, -1, 0, -1443288, -668832784]$ |
\(y^2=x^3-x^2-1443288x-668832784\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
59248.z3 |
59248bb4 |
59248.z |
59248bb |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{15} \cdot 7^{6} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.12.0.1 |
2B, 3Cs |
$11592$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$608256$ |
$2.124691$ |
$4956477625/941192$ |
$[0, -1, 0, -300648, -51908752]$ |
\(y^2=x^3-x^2-300648x-51908752\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 24.72.1.h.1, $\ldots$ |
$[]$ |
59248.z4 |
59248bb2 |
59248.z |
59248bb |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{13} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$11592$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$202752$ |
$1.575382$ |
$128787625/98$ |
$[0, -1, 0, -89048, 10250864]$ |
\(y^2=x^3-x^2-89048x+10250864\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
59248.z5 |
59248bb1 |
59248.z |
59248bb |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{14} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$11592$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$101376$ |
$1.228809$ |
$-15625/28$ |
$[0, -1, 0, -4408, 229488]$ |
\(y^2=x^3-x^2-4408x+229488\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
59248.z6 |
59248bb3 |
59248.z |
59248bb |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{18} \cdot 7^{3} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.12.0.1 |
2B, 3Cs |
$11592$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$304128$ |
$1.778116$ |
$9938375/21952$ |
$[0, -1, 0, 37912, -4781200]$ |
\(y^2=x^3-x^2+37912x-4781200\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[]$ |
59248.ba1 |
59248m2 |
59248.ba |
59248m |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7^{10} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$2.532867747$ |
$1$ |
|
$3$ |
$4055040$ |
$3.037258$ |
$263822189935250/149429406721$ |
$[0, -1, 0, -8976248, 1512187664]$ |
\(y^2=x^3-x^2-8976248x+1512187664\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(1360/3, 340676/3)]$ |
59248.ba2 |
59248m1 |
59248.ba |
59248m |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{10} \cdot 7^{5} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$5.065735494$ |
$1$ |
|
$3$ |
$2027520$ |
$2.690685$ |
$7953970437500/4703287687$ |
$[0, -1, 0, 2217392, 186860688]$ |
\(y^2=x^3-x^2+2217392x+186860688\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(-66, 6342)]$ |