Elliptic curves over Q\Q of conductor 23104

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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
23104.a1	23104i1	23104.a	23104i	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{21} \cdot 19^{9}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$456$	$12$	$1$	$2.306391114$	$1$		$2$	$437760$	$2.100533$	$-27/8$	$1.31757$	$4.82821$	$[0, 0, 0, -27436, 39617584]$	$y^2=x^3-27436x+39617584$	3.3.0.a.1, 24.6.0.m.1, 57.6.0.a.1, 152.2.0.?, 456.12.1.?	$[(1444, 54872)]$
23104.b1	23104h1	23104.b	23104h	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{15} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$0.601499014$	$1$		$4$	$153216$	$1.547802$	$-4104$	$0.69588$	$4.24212$	$[0, 0, 0, -27436, 2085136]$	$y^2=x^3-27436x+2085136$	8.2.0.a.1	$[(0, 1444)]$
23104.c1	23104w1	23104.c	23104w	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{15} \cdot 19^{2}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$0.548385238$	$1$		$18$	$8064$	$0.075583$	$-4104$	$0.69588$	$2.48386$	$[0, 0, 0, -76, 304]$	$y^2=x^3-76x+304$	8.2.0.a.1	$[(6, 8), (-10, 8)]$
23104.d1	23104bn1	23104.d	23104bn	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{21} \cdot 19^{3}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$456$	$12$	$1$	$0.590992785$	$1$		$14$	$23040$	$0.628313$	$-27/8$	$1.31757$	$3.06995$	$[0, 0, 0, -76, 5776]$	$y^2=x^3-76x+5776$	3.3.0.a.1, 24.6.0.m.1, 57.6.0.a.1, 152.2.0.?, 456.12.1.?	$[(114, 1216), (-14, 64)]$
23104.e1	23104cc1	23104.e	23104cc	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{15} \cdot 19^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.985246167$	$1$		$4$	$69120$	$1.272514$	$27000/19$	$0.79171$	$3.80855$	$[0, 0, 0, 7220, 109744]$	$y^2=x^3+7220x+109744$	152.2.0.?	$[(190, 2888)]$
23104.f1	23104bm1	23104.f	23104bm	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{15} \cdot 19^{3}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	3.3.0.1	3Nn	$456$	$12$	$1$	$0.419205023$	$1$		$14$	$57600$	$0.897386$	$-1042590744$	$1.29588$	$3.98054$	$[0, 0, 0, -12844, 560272]$	$y^2=x^3-12844x+560272$	3.3.0.a.1, 12.6.0.d.1, 152.2.0.?, 456.12.1.?	$[(66, 8), (76, 152)]$
23104.g1	23104bl1	23104.g	23104bl	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{15} \cdot 19^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	3.3.0.1	3Nn	$456$	$12$	$1$	$1$	$1$		$0$	$1094400$	$2.369606$	$-1042590744$	$1.29588$	$5.73880$	$[0, 0, 0, -4636684, 3842905648]$	$y^2=x^3-4636684x+3842905648$	3.3.0.a.1, 12.6.0.d.1, 152.2.0.?, 456.12.1.?	$[]$
23104.h1	23104bh1	23104.h	23104bh	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{3}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	3.3.0.1	3Nn	$228$	$12$	$1$	$1.031266971$	$1$		$6$	$3200$	$-0.232782$	$512$	$0.69588$	$2.00000$	$[0, 1, 0, 13, 31]$	$y^2=x^3+x^2+13x+31$	3.3.0.a.1, 12.6.0.h.1, 38.2.0.a.1, 114.6.1.?, 228.12.1.?	$[(6, 19), (-2, 1)]$
23104.i1	23104u3	23104.i	23104u	$3$	$9$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{7}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$4104$	$1296$	$43$	$1.622303643$	$1$		$6$	$155520$	$1.852232$	$-50357871050752/19$	$1.10495$	$5.31220$	$[0, 1, 0, -1110917, 450312229]$	$y^2=x^3+x^2-1110917x+450312229$	3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.5, 27.36.0.a.1, 38.2.0.a.1, $\ldots$	$[(2437/2, 361/2), (604, 179)]$
23104.i2	23104u2	23104.i	23104u	$3$	$9$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{9}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.2	3Cs	$4104$	$1296$	$43$	$1.622303643$	$1$		$4$	$51840$	$1.302927$	$-89915392/6859$	$1.03310$	$4.00723$	$[0, 1, 0, -13477, 636189]$	$y^2=x^3+x^2-13477x+636189$	3.12.0.a.1, 9.36.0.b.1, 24.24.0-3.a.1.3, 38.2.0.a.1, 72.72.0.?, $\ldots$	$[(700/3, 6859/3), (-451/2, 6859/2)]$
23104.i3	23104u1	23104.i	23104u	$3$	$9$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{7}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$4104$	$1296$	$43$	$1.622303643$	$1$		$6$	$17280$	$0.753620$	$32768/19$	$1.31757$	$3.20696$	$[0, 1, 0, 963, 829]$	$y^2=x^3+x^2+963x+829$	3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.6, 27.36.0.a.1, 38.2.0.a.1, $\ldots$	$[(44, 361), (4, 69)]$
23104.j1	23104bg1	23104.j	23104bg	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	3.3.0.1	3Nn	$228$	$12$	$1$	$1$	$1$		$0$	$60800$	$1.239437$	$512$	$0.69588$	$3.75827$	$[0, 1, 0, 4573, 184939]$	$y^2=x^3+x^2+4573x+184939$	3.3.0.a.1, 12.6.0.h.1, 38.2.0.a.1, 114.6.1.?, 228.12.1.?	$[]$
23104.k1	23104t1	23104.k	23104t	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{14} \cdot 19^{7}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$46080$	$1.207314$	$-1024/19$	$0.79665$	$3.76209$	$[0, 1, 0, -1925, -187613]$	$y^2=x^3+x^2-1925x-187613$	38.2.0.a.1	$[]$
23104.l1	23104ca1	23104.l	23104ca	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{14} \cdot 19^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$5.945658099$	$1$		$0$	$69120$	$1.377863$	$-4194304/19$	$1.07903$	$4.24251$	$[0, 1, 0, -30805, -2099469]$	$y^2=x^3+x^2-30805x-2099469$	38.2.0.a.1	$[(13529/4, 1537499/4)]$
23104.m1	23104bw1	23104.m	23104bw	$1$	$1$	$2^{6} \cdot 19^{2}$	$2^{10} \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 5$	2.2.0.1, 5.5.0.1	2Cn, 5S4	$760$	$60$	$2$	$0.740721234$	$1$		$2$	$8064$	$0.383341$	$1462911232$	$0.97310$	$3.37628$	$[0, -1, 0, -1697, 27481]$	$y^2=x^3-x^2-1697x+27481$	2.2.0.a.1, 5.5.0.a.1, 10.10.0.a.1, 38.6.0.a.1, 152.12.0.?, $\ldots$	$[(24, 1)]$
23104.n1	23104d1	23104.n	23104d	$1$	$1$	$2^{6} \cdot 19^{2}$	$2^{10} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 5$	8.4.0.1, 5.5.0.1	2Cn, 5S4	$760$	$60$	$2$	$5.749905657$	$1$		$2$	$153216$	$1.855560$	$1462911232$	$0.97310$	$5.13454$	$[0, -1, 0, -612737, 184816009]$	$y^2=x^3-x^2-612737x+184816009$	2.2.0.a.1, 5.5.0.a.1, 8.4.0-2.a.1.1, 10.10.0.a.1, 38.6.0.a.1, $\ldots$	$[(264, 6433)]$
23104.o1	23104c2	23104.o	23104c	$2$	$3$	$2^{6} \cdot 19^{2}$	$- 2^{27} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.2.0.1, 9.12.0.2	3B	$1368$	$144$	$2$	$17.73719083$	$1$		$0$	$393984$	$2.408344$	$-246579625/512$	$0.97319$	$5.50958$	$[0, -1, 0, -2149153, -1214145631]$	$y^2=x^3-x^2-2149153x-1214145631$	3.4.0.a.1, 8.2.0.a.1, 9.12.0.b.1, 12.8.0-3.a.1.4, 24.16.0-24.a.1.4, $\ldots$	$[(49062536/41, 343208758339/41)]$
23104.o2	23104c1	23104.o	23104c	$2$	$3$	$2^{6} \cdot 19^{2}$	$- 2^{21} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.2.0.1, 9.12.0.2	3B	$1368$	$144$	$2$	$5.912396943$	$1$		$2$	$131328$	$1.859039$	$2375/8$	$0.86529$	$4.51621$	$[0, -1, 0, 45727, -8278559]$	$y^2=x^3-x^2+45727x-8278559$	3.4.0.a.1, 8.2.0.a.1, 9.12.0.b.1, 12.8.0-3.a.1.3, 24.16.0-24.a.1.2, $\ldots$	$[(200, 2971)]$
23104.p1	23104bu1	23104.p	23104bu	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{17} \cdot 19^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1.850327041$	$1$		$2$	$46080$	$1.401615$	$-31250/19$	$0.89957$	$4.03255$	$[0, -1, 0, -12033, -723551]$	$y^2=x^3-x^2-12033x-723551$	152.2.0.?	$[(184, 1805)]$
23104.q1	23104bt3	23104.q	23104bt	$3$	$9$	$2^{6} \cdot 19^{2}$	$- 2^{45} \cdot 19^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$4104$	$1296$	$43$	$9.747721593$	$1$		$0$	$1244160$	$2.997108$	$-69173457625/2550136832$	$1.05462$	$5.89912$	$[0, -1, 0, -1975873, -8598438175]$	$y^2=x^3-x^2-1975873x-8598438175$	3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.4, 27.36.0.a.1, 36.24.0-9.a.1.3, $\ldots$	$[(505168/11, 314704277/11)]$
23104.q2	23104bt1	23104.q	23104bt	$3$	$9$	$2^{6} \cdot 19^{2}$	$- 2^{21} \cdot 19^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$4104$	$1296$	$43$	$1.083080177$	$1$		$2$	$138240$	$1.898499$	$-413493625/152$	$0.93281$	$4.97465$	$[0, -1, 0, -358593, 82797409]$	$y^2=x^3-x^2-358593x+82797409$	3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.3, 27.36.0.a.1, 36.24.0-9.a.1.4, $\ldots$	$[(336, 361)]$
23104.q3	23104bt2	23104.q	23104bt	$3$	$9$	$2^{6} \cdot 19^{2}$	$- 2^{27} \cdot 19^{9}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.2	3Cs	$4104$	$1296$	$43$	$3.249240531$	$1$		$2$	$414720$	$2.447803$	$94196375/3511808$	$1.01875$	$5.24037$	$[0, -1, 0, 219007, 314091553]$	$y^2=x^3-x^2+219007x+314091553$	3.12.0.a.1, 9.36.0.b.1, 12.24.0-3.a.1.2, 36.72.0-9.b.1.2, 152.2.0.?, $\ldots$	$[(3984, 253783)]$
23104.r1	23104bv2	23104.r	23104bv	$2$	$3$	$2^{6} \cdot 19^{2}$	$- 2^{27} \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.2.0.1, 9.12.0.2	3B	$1368$	$144$	$2$	$9.409276033$	$1$		$0$	$20736$	$0.936126$	$-246579625/512$	$0.97319$	$3.75131$	$[0, -1, 0, -5953, -175135]$	$y^2=x^3-x^2-5953x-175135$	3.4.0.a.1, 8.2.0.a.1, 9.12.0.b.1, 24.8.0.a.1, 72.24.0.?, $\ldots$	$[(16927/13, 1038376/13)]$
23104.r2	23104bv1	23104.r	23104bv	$2$	$3$	$2^{6} \cdot 19^{2}$	$- 2^{21} \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.2.0.1, 9.12.0.2	3B	$1368$	$144$	$2$	$3.136425344$	$1$		$2$	$6912$	$0.386819$	$2375/8$	$0.86529$	$2.75795$	$[0, -1, 0, 127, -1247]$	$y^2=x^3-x^2+127x-1247$	3.4.0.a.1, 8.2.0.a.1, 9.12.0.b.1, 24.8.0.a.1, 72.24.0.?, $\ldots$	$[(39, 248)]$
23104.s1	23104bd1	23104.s	23104bd	$1$	$1$	$2^{6} \cdot 19^{2}$	$2^{10} \cdot 19^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 5$	8.4.0.1, 5.5.0.1	2Cn, 5S4	$760$	$60$	$2$	$1$	$1$		$0$	$32832$	$1.255939$	$4864$	$0.64811$	$3.87913$	$[0, -1, 0, -9145, -267247]$	$y^2=x^3-x^2-9145x-267247$	2.2.0.a.1, 5.5.0.a.1, 8.4.0-2.a.1.1, 10.10.0.a.1, 38.6.0.a.1, $\ldots$	$[]$
23104.t1	23104q1	23104.t	23104q	$1$	$1$	$2^{6} \cdot 19^{2}$	$2^{10} \cdot 19^{2}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 5$	2.2.0.1, 5.5.0.1	2Cn, 5S4	$760$	$60$	$2$	$1$	$1$		$0$	$1728$	$-0.216280$	$4864$	$0.64811$	$2.12087$	$[0, -1, 0, -25, -31]$	$y^2=x^3-x^2-25x-31$	2.2.0.a.1, 5.5.0.a.1, 10.10.0.a.1, 38.6.0.a.1, 152.12.0.?, $\ldots$	$[]$
23104.u1	23104e1	23104.u	23104e	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{17} \cdot 19^{4}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1.873473484$	$1$		$2$	$16128$	$0.655856$	$-722$	$0.85758$	$3.12160$	$[0, -1, 0, -481, -7327]$	$y^2=x^3-x^2-481x-7327$	8.2.0.a.1	$[(32, 95)]$
23104.v1	23104bx1	23104.v	23104bx	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{17} \cdot 19^{10}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$27.27586920$	$1$		$0$	$306432$	$2.128075$	$-722$	$0.85758$	$4.87987$	$[0, -1, 0, -173761, -51298207]$	$y^2=x^3-x^2-173761x-51298207$	8.2.0.a.1	$[(1174842805447/28769, 1204789326433101560/28769)]$
23104.w1	23104r2	23104.w	23104r	$2$	$5$	$2^{6} \cdot 19^{2}$	$- 2^{19} \cdot 19^{11}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$760$	$48$	$1$	$1$	$1$		$0$	$691200$	$2.529724$	$-37966934881/4952198$	$0.97714$	$5.44465$	$[0, -1, 0, -1617761, 877251553]$	$y^2=x^3-x^2-1617761x+877251553$	5.12.0.a.2, 10.24.0-5.a.2.2, 152.2.0.?, 760.48.1.?	$[]$
23104.w2	23104r1	23104.w	23104r	$2$	$5$	$2^{6} \cdot 19^{2}$	$- 2^{23} \cdot 19^{7}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$760$	$48$	$1$	$1$	$1$		$0$	$138240$	$1.725006$	$-1/608$	$1.37833$	$4.37990$	$[0, -1, 0, -481, -4166047]$	$y^2=x^3-x^2-481x-4166047$	5.12.0.a.1, 10.24.0-5.a.1.1, 152.2.0.?, 760.48.1.?	$[]$
23104.x1	23104bq1	23104.x	23104bq	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{11}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$380$	$60$	$3$	$1.711155428$	$1$		$0$	$172800$	$1.724737$	$-4741632/2476099$	$1.30327$	$4.37944$	$[0, 0, 0, -5054, 4156554]$	$y^2=x^3-5054x+4156554$	5.15.0.a.1, 20.30.0.a.1, 38.2.0.a.1, 190.30.2.?, 380.60.3.?	$[(1121/4, 130321/4)]$
23104.y1	23104bp1	23104.y	23104bp	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{11}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$380$	$60$	$3$	$10.23330254$	$1$		$2$	$172800$	$1.724737$	$-4741632/2476099$	$1.30327$	$4.37944$	$[0, 0, 0, -5054, -4156554]$	$y^2=x^3-5054x-4156554$	5.15.0.a.1, 20.30.0.a.1, 38.2.0.a.1, 190.30.2.?, 380.60.3.?	$[(27713, 4613429)]$
23104.z1	23104x2	23104.z	23104x	$2$	$19$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{9}$	$2$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$5.325900492$	$1$		$4$	$54720$	$1.468645$	$-884736$	$1.31757$	$4.41430$	$[0, 0, 0, -54872, 4952198]$	$y^2=x^3-54872x+4952198$		$[(361/2, 6859/2), (3971/5, 61731/5)]$
23104.z2	23104x1	23104.z	23104x	$2$	$19$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{3}$	$2$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$5.325900492$	$1$		$6$	$2880$	$-0.003575$	$-884736$	$1.31757$	$2.65603$	$[0, 0, 0, -152, -722]$	$y^2=x^3-152x-722$		$[(19, 57), (57/2, 19/2)]$
23104.ba1	23104k1	23104.ba	23104k	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{7}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$4.327251135$	$1$		$2$	$11520$	$0.756652$	$-13824/19$	$0.69588$	$3.24212$	$[0, 0, 0, -722, -13718]$	$y^2=x^3-722x-13718$	38.2.0.a.1	$[(57, 361), (969/2, 29963/2)]$
23104.bb1	23104j1	23104.bb	23104j	$1$	$1$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{7}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$11520$	$0.756652$	$-13824/19$	$0.69588$	$3.24212$	$[0, 0, 0, -722, 13718]$	$y^2=x^3-722x+13718$	38.2.0.a.1	$[]$
23104.bc1	23104a2	23104.bc	23104a	$2$	$19$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{9}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$19.94010943$	$1$		$0$	$54720$	$1.468645$	$-884736$	$1.31757$	$4.41430$	$[0, 0, 0, -54872, -4952198]$	$y^2=x^3-54872x-4952198$		$[(413167167/569, 8245366935161/569)]$
23104.bc2	23104a1	23104.bc	23104a	$2$	$19$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{3}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1.049479443$	$1$		$2$	$2880$	$-0.003575$	$-884736$	$1.31757$	$2.65603$	$[0, 0, 0, -152, 722]$	$y^2=x^3-152x+722$		$[(7, 1)]$
23104.bd1	23104z1	23104.bd	23104z	$2$	$2$	$2^{6} \cdot 19^{2}$	$2^{6} \cdot 19^{3}$	$0$	$\Z/2\Z$	$\Q(\sqrt{-1})$	$-4$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$1440$	$-0.227849$	$1728$		$2.03497$	$[0, 0, 0, -19, 0]$	$y^2=x^3-19x$		$[]$
23104.bd2	23104z2	23104.bd	23104z	$2$	$2$	$2^{6} \cdot 19^{2}$	$- 2^{12} \cdot 19^{3}$	$0$	$\Z/2\Z$	$\Q(\sqrt{-1})$	$-4$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$2880$	$0.118724$	$1728$		$2.44888$	$[0, 0, 0, 76, 0]$	$y^2=x^3+76x$		$[]$
23104.be1	23104y1	23104.be	23104y	$2$	$2$	$2^{6} \cdot 19^{2}$	$2^{6} \cdot 19^{9}$	$0$	$\Z/2\Z$	$\Q(\sqrt{-1})$	$-4$	$N(\mathrm{U}(1))$		✓							$1$	$9$	$3$	$1$	$27360$	$1.244370$	$1728$		$3.79324$	$[0, 0, 0, -6859, 0]$	$y^2=x^3-6859x$		$[]$
23104.be2	23104y2	23104.be	23104y	$2$	$2$	$2^{6} \cdot 19^{2}$	$- 2^{12} \cdot 19^{9}$	$0$	$\Z/2\Z$	$\Q(\sqrt{-1})$	$-4$	$N(\mathrm{U}(1))$		✓							$1$	$9$	$3$	$1$	$54720$	$1.590944$	$1728$		$4.20715$	$[0, 0, 0, 27436, 0]$	$y^2=x^3+27436x$		$[]$
23104.bf1	23104bo3	23104.bf	23104bo	$4$	$4$	$2^{6} \cdot 19^{2}$	$2^{15} \cdot 19^{6}$	$1$	$\Z/2\Z$	$\Q(\sqrt{-1})$	$-16$	$N(\mathrm{U}(1))$		✓							$14.45723861$	$1$		$1$	$28800$	$1.201406$	$287496$	$1.17246$	$4.04397$	$[0, 0, 0, -15884, -768208]$	$y^2=x^3-15884x-768208$		$[(-3569771/225, 398664433/225)]$
23104.bf2	23104bo4	23104.bf	23104bo	$4$	$4$	$2^{6} \cdot 19^{2}$	$2^{15} \cdot 19^{6}$	$1$	$\Z/2\Z$	$\Q(\sqrt{-1})$	$-16$	$N(\mathrm{U}(1))$		✓							$3.614309653$	$1$		$3$	$28800$	$1.201406$	$287496$	$1.17246$	$4.04397$	$[0, 0, 0, -15884, 768208]$	$y^2=x^3-15884x+768208$		$[(-86, 1224)]$
23104.bf3	23104bo2	23104.bf	23104bo	$4$	$4$	$2^{6} \cdot 19^{2}$	$2^{12} \cdot 19^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q(\sqrt{-1})$	$-4$	$N(\mathrm{U}(1))$		✓	$2$	16.192.9.143	2Cs				$7.228619307$	$1$		$3$	$14400$	$0.854834$	$1728$		$3.32802$	$[0, 0, 0, -1444, 0]$	$y^2=x^3-1444x$		$[(-1922/9, 105400/9)]$
23104.bf4	23104bo1	23104.bf	23104bo	$4$	$4$	$2^{6} \cdot 19^{2}$	$- 2^{6} \cdot 19^{6}$	$1$	$\Z/2\Z$	$\Q(\sqrt{-1})$	$-4$	$N(\mathrm{U}(1))$		✓	$2$	16.192.9.178	2B				$14.45723861$	$1$		$1$	$7200$	$0.508260$	$1728$		$2.91411$	$[0, 0, 0, 361, 0]$	$y^2=x^3+361x$		$[(722500/279, 1399117850/279)]$
23104.bg1	23104bb1	23104.bg	23104bb	$1$	$1$	$2^{6} \cdot 19^{2}$	$2^{10} \cdot 19^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 5$	8.4.0.1, 5.5.0.1	2Cn, 5S4	$760$	$60$	$2$	$1$	$1$		$0$	$153216$	$1.855560$	$1462911232$	$0.97310$	$5.13454$	$[0, 1, 0, -612737, -184816009]$	$y^2=x^3+x^2-612737x-184816009$	2.2.0.a.1, 5.5.0.a.1, 8.4.0-2.a.1.1, 10.10.0.a.1, 38.6.0.a.1, $\ldots$	$[]$
23104.bh1	23104o1	23104.bh	23104o	$1$	$1$	$2^{6} \cdot 19^{2}$	$2^{10} \cdot 19^{2}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 5$	2.2.0.1, 5.5.0.1	2Cn, 5S4	$760$	$60$	$2$	$1$	$1$		$0$	$8064$	$0.383341$	$1462911232$	$0.97310$	$3.37628$	$[0, 1, 0, -1697, -27481]$	$y^2=x^3+x^2-1697x-27481$	2.2.0.a.1, 5.5.0.a.1, 10.10.0.a.1, 38.6.0.a.1, 152.12.0.?, $\ldots$	$[]$
23104.bi1	23104n2	23104.bi	23104n	$2$	$3$	$2^{6} \cdot 19^{2}$	$- 2^{27} \cdot 19^{2}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.2.0.1, 9.12.0.2	3B	$1368$	$144$	$2$	$1.767749747$	$1$		$10$	$20736$	$0.936126$	$-246579625/512$	$0.97319$	$3.75131$	$[0, 1, 0, -5953, 175135]$	$y^2=x^3+x^2-5953x+175135$	3.4.0.a.1, 8.2.0.a.1, 9.12.0.b.1, 24.8.0.a.1, 72.24.0.?, $\ldots$	$[(-69, 512), (403/3, 512/3)]$
23104.bi2	23104n1	23104.bi	23104n	$2$	$3$	$2^{6} \cdot 19^{2}$	$- 2^{21} \cdot 19^{2}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.2.0.1, 9.12.0.2	3B	$1368$	$144$	$2$	$1.767749747$	$1$		$6$	$6912$	$0.386819$	$2375/8$	$0.86529$	$2.75795$	$[0, 1, 0, 127, 1247]$	$y^2=x^3+x^2+127x+1247$	3.4.0.a.1, 8.2.0.a.1, 9.12.0.b.1, 24.8.0.a.1, 72.24.0.?, $\ldots$	$[(11, 64), (-109/5, 3136/5)]$

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