Elliptic curve search results

Results (32 matches)

 

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
2904.a2	2904b1	2904.a	2904b	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$3.773507308$	$1$		$3$	$31680$	$1.692230$	$63253004/243$	$0.98663$	$5.82845$	$[0, -1, 0, -111360, 14293116]$	\(y^2=x^3-x^2-111360x+14293116\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(170, 496)]$
2904.b2	2904i1	2904.b	2904i	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$2880$	$0.493283$	$63253004/243$	$0.98663$	$4.02413$	$[0, -1, 0, -920, -10404]$	\(y^2=x^3-x^2-920x-10404\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
5808.q2	5808k1	5808.q	5808k	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 11^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$0.265439940$	$1$		$33$	$5760$	$0.493283$	$63253004/243$	$0.98663$	$3.70230$	$[0, 1, 0, -920, 10404]$	\(y^2=x^3+x^2-920x+10404\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(22, 36), (16, 6)]$
5808.r2	5808j1	5808.r	5808j	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$63360$	$1.692230$	$63253004/243$	$0.98663$	$5.36232$	$[0, 1, 0, -111360, -14293116]$	\(y^2=x^3+x^2-111360x-14293116\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
8712.y2	8712u1	8712.y	8712u	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$8.393070492$	$1$		$1$	$253440$	$2.241535$	$63253004/243$	$0.98663$	$5.84923$	$[0, 0, 0, -1002243, -384911890]$	\(y^2=x^3-1002243x-384911890\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(-102170/13, 451170/13)]$
8712.z2	8712g1	8712.z	8712g	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$23040$	$1.042589$	$63253004/243$	$0.98663$	$4.26340$	$[0, 0, 0, -8283, 289190]$	\(y^2=x^3-8283x+289190\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
17424.cf2	17424n1	17424.cf	17424n	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$46080$	$1.042589$	$63253004/243$	$0.98663$	$3.96079$	$[0, 0, 0, -8283, -289190]$	\(y^2=x^3-8283x-289190\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
17424.ci2	17424m1	17424.ci	17424m	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$506880$	$2.241535$	$63253004/243$	$0.98663$	$5.43406$	$[0, 0, 0, -1002243, 384911890]$	\(y^2=x^3-1002243x+384911890\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
23232.bu2	23232cs1	23232.bu	23232cs	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \)	\( 2^{16} \cdot 3^{5} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$46080$	$0.839856$	$63253004/243$	$0.98663$	$3.60546$	$[0, -1, 0, -3681, 86913]$	\(y^2=x^3-x^2-3681x+86913\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
23232.bx2	23232cr1	23232.bx	23232cr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \)	\( 2^{16} \cdot 3^{5} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$9$	$3$	$1$	$506880$	$2.038803$	$63253004/243$	$0.98663$	$5.03657$	$[0, -1, 0, -445441, -113899487]$	\(y^2=x^3-x^2-445441x-113899487\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
23232.dt2	23232bm1	23232.dt	23232bm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \)	\( 2^{16} \cdot 3^{5} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$506880$	$2.038803$	$63253004/243$	$0.98663$	$5.03657$	$[0, 1, 0, -445441, 113899487]$	\(y^2=x^3+x^2-445441x+113899487\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
23232.dw2	23232bl1	23232.dw	23232bl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \)	\( 2^{16} \cdot 3^{5} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$46080$	$0.839856$	$63253004/243$	$0.98663$	$3.60546$	$[0, 1, 0, -3681, -86913]$	\(y^2=x^3+x^2-3681x-86913\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
69696.c2	69696bh1	69696.c	69696bh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 3^{11} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$4055040$	$2.588112$	$63253004/243$	$0.98663$	$5.13148$	$[0, 0, 0, -4008972, -3079295120]$	\(y^2=x^3-4008972x-3079295120\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
69696.d2	69696fj1	69696.d	69696fj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 3^{11} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1.553829200$	$1$		$5$	$368640$	$1.389162$	$63253004/243$	$0.98663$	$3.84135$	$[0, 0, 0, -33132, -2313520]$	\(y^2=x^3-33132x-2313520\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(-107, 81)]$
69696.n2	69696fi1	69696.n	69696fi	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 3^{11} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$2.352430678$	$1$		$5$	$4055040$	$2.588112$	$63253004/243$	$0.98663$	$5.13148$	$[0, 0, 0, -4008972, 3079295120]$	\(y^2=x^3-4008972x+3079295120\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(1258, 5184)]$
69696.o2	69696bg1	69696.o	69696bg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 3^{11} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.389162$	$63253004/243$	$0.98663$	$3.84135$	$[0, 0, 0, -33132, 2313520]$	\(y^2=x^3-33132x+2313520\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
72600.cm2	72600bf1	72600.cm	72600bf	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$230400$	$1.298002$	$63253004/243$	$0.98663$	$3.72961$	$[0, 1, 0, -23008, -1346512]$	\(y^2=x^3+x^2-23008x-1346512\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
72600.ef2	72600dk1	72600.ef	72600dk	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$3.632691149$	$1$		$3$	$2534400$	$2.496948$	$63253004/243$	$0.98663$	$5.01503$	$[0, 1, 0, -2784008, 1781071488]$	\(y^2=x^3+x^2-2784008x+1781071488\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(208, 34800)]$
142296.dp2	142296cr1	142296.dp	142296cr	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 7^{6} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$12.01401940$	$1$		$1$	$9123840$	$2.665184$	$63253004/243$	$0.98663$	$4.90075$	$[0, 1, 0, -5456656, -4891625488]$	\(y^2=x^3+x^2-5456656x-4891625488\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(16922428/9, 69609383360/9)]$
142296.du2	142296u1	142296.du	142296u	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 7^{6} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$829440$	$1.466238$	$63253004/243$	$0.98663$	$3.68823$	$[0, 1, 0, -45096, 3658752]$	\(y^2=x^3+x^2-45096x+3658752\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
145200.e2	145200js1	145200.e	145200js	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$7.067489086$	$1$		$3$	$5068800$	$2.496948$	$63253004/243$	$0.98663$	$4.72257$	$[0, -1, 0, -2784008, -1781071488]$	\(y^2=x^3-x^2-2784008x-1781071488\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(2356, 68788)]$
145200.fo2	145200le1	145200.fo	145200le	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$2.726933573$	$1$		$5$	$460800$	$1.298002$	$63253004/243$	$0.98663$	$3.51211$	$[0, -1, 0, -23008, 1346512]$	\(y^2=x^3-x^2-23008x+1346512\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(81, 88)]$
217800.w2	217800bh1	217800.w	217800bh	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$4.019850222$	$1$		$3$	$1843200$	$1.847307$	$63253004/243$	$0.98663$	$3.93254$	$[0, 0, 0, -207075, 36148750]$	\(y^2=x^3-207075x+36148750\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(-525, 400)]$
217800.gh2	217800gm1	217800.gh	217800gm	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$9$	$3$	$1$	$20275200$	$3.046257$	$63253004/243$	$0.98663$	$5.10307$	$[0, 0, 0, -25056075, -48113986250]$	\(y^2=x^3-25056075x-48113986250\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
284592.fm2	284592fm1	284592.fm	284592fm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 7^{6} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$18247680$	$2.665184$	$63253004/243$	$0.98663$	$4.63027$	$[0, -1, 0, -5456656, 4891625488]$	\(y^2=x^3-x^2-5456656x+4891625488\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
284592.fw2	284592fw1	284592.fw	284592fw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 7^{6} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$1658880$	$1.466238$	$63253004/243$	$0.98663$	$3.48467$	$[0, -1, 0, -45096, -3658752]$	\(y^2=x^3-x^2-45096x-3658752\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
426888.a2	426888a1	426888.a	426888a	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 7^{6} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$72990720$	$3.214493$	$63253004/243$	$0.98663$	$4.99390$	$[0, 0, 0, -49109907, 132024778270]$	\(y^2=x^3-49109907x+132024778270\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
426888.n2	426888n1	426888.n	426888n	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 7^{6} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$4.998792458$	$1$		$3$	$6635520$	$2.015545$	$63253004/243$	$0.98663$	$3.88413$	$[0, 0, 0, -405867, -99192170]$	\(y^2=x^3-405867x-99192170\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(1023, 23584)]$
435600.v2	435600v1	435600.v	435600v	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$40550400$	$3.046257$	$63253004/243$	$0.98663$	$4.83065$	$[0, 0, 0, -25056075, 48113986250]$	\(y^2=x^3-25056075x+48113986250\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
435600.tx2	435600tx1	435600.tx	435600tx	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$3686400$	$1.847307$	$63253004/243$	$0.98663$	$3.72261$	$[0, 0, 0, -207075, -36148750]$	\(y^2=x^3-207075x-36148750\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
490776.bs2	490776bs1	490776.bs	490776bs	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 13^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 11^{3} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$13.99547791$	$1$		$1$	$5529600$	$1.775757$	$63253004/243$	$0.98663$	$3.62320$	$[0, -1, 0, -155536, -23479652]$	\(y^2=x^3-x^2-155536x-23479652\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(7566098/127, 5248647360/127)]$
490776.bt2	490776bt1	490776.bt	490776bt	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 13^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 11^{9} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$25$	$5$	$1$	$60825600$	$2.974705$	$63253004/243$	$0.98663$	$4.72116$	$[0, -1, 0, -18819896, 31326696348]$	\(y^2=x^3-x^2-18819896x+31326696348\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$