Elliptic curve search results

Results (24 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
3267.b1	3267h1	3267.b	3267h	$1$	$1$	\( 3^{3} \cdot 11^{2} \)	\( - 3^{9} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$0.236350439$	$1$		$6$	$432$	$-0.042049$	$-8019$	$0.82546$	$2.94972$	$1$	$[1, -1, 1, -56, 190]$	\(y^2+xy+y=x^3-x^2-56x+190\)	6.6.0.b.1	$[(4, 2)]$	$1$
3267.d1	3267g1	3267.d	3267g	$1$	$1$	\( 3^{3} \cdot 11^{2} \)	\( - 3^{3} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$0.656124747$	$1$		$4$	$1584$	$0.607593$	$-8019$	$0.82546$	$3.91315$	$1$	$[1, -1, 1, -749, 8880]$	\(y^2+xy+y=x^3-x^2-749x+8880\)	6.6.0.b.1	$[(-30, 75)]$	$1$
3267.h1	3267f1	3267.h	3267f	$1$	$1$	\( 3^{3} \cdot 11^{2} \)	\( - 3^{9} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$4.823058734$	$1$		$2$	$4752$	$1.156898$	$-8019$	$0.82546$	$4.72777$	$1$	$[1, -1, 0, -6738, -233029]$	\(y^2+xy=x^3-x^2-6738x-233029\)	6.6.0.b.1	$[(490, 10429)]$	$1$
3267.i1	3267e1	3267.i	3267e	$1$	$1$	\( 3^{3} \cdot 11^{2} \)	\( - 3^{3} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$2.955538553$	$1$		$2$	$144$	$-0.591355$	$-8019$	$0.82546$	$2.13509$	$1$	$[1, -1, 0, -6, -5]$	\(y^2+xy=x^3-x^2-6x-5\)	6.6.0.b.1	$[(18, 65)]$	$1$
52272.t1	52272bz1	52272.t	52272bz	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{9} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$0.993810523$	$1$		$2$	$304128$	$1.850046$	$-8019$	$0.82546$	$4.28684$	$1$	$[0, 0, 0, -107811, 15021666]$	\(y^2=x^3-107811x+15021666\)	6.6.0.b.1	$[(121, 1936)]$	$1$
52272.u1	52272bx1	52272.u	52272bx	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{9} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$2.614017849$	$1$		$2$	$27648$	$0.651098$	$-8019$	$0.82546$	$2.96255$	$1$	$[0, 0, 0, -891, -11286]$	\(y^2=x^3-891x-11286\)	6.6.0.b.1	$[(37, 80)]$	$1$
52272.cl1	52272bv1	52272.cl	52272bv	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{3} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$7.807873003$	$1$		$0$	$101376$	$1.300739$	$-8019$	$0.82546$	$3.68011$	$1$	$[0, 0, 0, -11979, -556358]$	\(y^2=x^3-11979x-556358\)	6.6.0.b.1	$[(8229/5, 697808/5)]$	$1$
52272.co1	52272bq1	52272.co	52272bq	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{3} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$0.894817615$	$1$		$2$	$9216$	$0.101792$	$-8019$	$0.82546$	$2.35582$	$1$	$[0, 0, 0, -99, 418]$	\(y^2=x^3-99x+418\)	6.6.0.b.1	$[(9, 16)]$	$1$
81675.r1	81675v1	81675.r	81675v	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{9} \cdot 5^{6} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$1$	$1$		$0$	$608256$	$1.961617$	$-8019$	$0.82546$	$4.23606$	$1$	$[1, -1, 1, -168455, -29297078]$	\(y^2+xy+y=x^3-x^2-168455x-29297078\)	6.6.0.b.1	$[ ]$	$1$
81675.y1	81675u1	81675.y	81675u	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{3} \cdot 5^{6} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$1$	$1$		$0$	$18432$	$0.213363$	$-8019$	$0.82546$	$2.38124$	$1$	$[1, -1, 1, -155, -778]$	\(y^2+xy+y=x^3-x^2-155x-778\)	6.6.0.b.1	$[ ]$	$1$
81675.ce1	81675o1	81675.ce	81675o	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{3} \cdot 5^{6} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$1$	$1$		$0$	$202752$	$1.412312$	$-8019$	$0.82546$	$3.65327$	$1$	$[1, -1, 0, -18717, 1091316]$	\(y^2+xy=x^3-x^2-18717x+1091316\)	6.6.0.b.1	$[ ]$	$1$
81675.cl1	81675n1	81675.cl	81675n	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{9} \cdot 5^{6} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$1$	$1$		$0$	$55296$	$0.762670$	$-8019$	$0.82546$	$2.96403$	$1$	$[1, -1, 0, -1392, 22391]$	\(y^2+xy=x^3-x^2-1392x+22391\)	6.6.0.b.1	$[ ]$	$1$
160083.l1	160083q1	160083.l	160083q	$1$	$1$	\( 3^{3} \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{3} \cdot 7^{6} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$4.936285762$	$1$		$0$	$598752$	$1.580547$	$-8019$	$0.82546$	$3.61659$	$1$	$[1, -1, 1, -36686, -2972560]$	\(y^2+xy+y=x^3-x^2-36686x-2972560\)	6.6.0.b.1	$[(2392/3, 62525/3)]$	$1$
160083.v1	160083w1	160083.v	160083w	$1$	$1$	\( 3^{3} \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{9} \cdot 7^{6} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$18.54224670$	$1$		$0$	$163296$	$0.930905$	$-8019$	$0.82546$	$2.96605$	$1$	$[1, -1, 1, -2729, -59804]$	\(y^2+xy+y=x^3-x^2-2729x-59804\)	6.6.0.b.1	$[(75991598/1099, 118082410606/1099)]$	$1$
160083.ce1	160083cj1	160083.ce	160083cj	$1$	$1$	\( 3^{3} \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{3} \cdot 7^{6} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$2.760746378$	$1$		$2$	$54432$	$0.381599$	$-8019$	$0.82546$	$2.41598$	$1$	$[1, -1, 0, -303, 2316]$	\(y^2+xy=x^3-x^2-303x+2316\)	6.6.0.b.1	$[(4, 32)]$	$1$
160083.cn1	160083co1	160083.cn	160083co	$1$	$1$	\( 3^{3} \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{9} \cdot 7^{6} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$31.59834763$	$1$		$0$	$1796256$	$2.129852$	$-8019$	$0.82546$	$4.16665$	$1$	$[1, -1, 0, -330171, 80589284]$	\(y^2+xy=x^3-x^2-330171x+80589284\)	6.6.0.b.1	$[(52633995433820/44543, 380589502437750260756/44543)]$	$1$
209088.br1	209088h1	209088.br	209088h	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 11^{2} \)	\( - 2^{18} \cdot 3^{3} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$1$	$1$		$0$	$811008$	$1.647312$	$-8019$	$0.82546$	$3.60314$	$1$	$[0, 0, 0, -47916, -4450864]$	\(y^2=x^3-47916x-4450864\)	6.6.0.b.1	$[ ]$	$1$
209088.bv1	209088gf1	209088.bv	209088gf	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 11^{2} \)	\( - 2^{18} \cdot 3^{3} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$1$	$1$		$0$	$73728$	$0.448365$	$-8019$	$0.82546$	$2.42871$	$1$	$[0, 0, 0, -396, -3344]$	\(y^2=x^3-396x-3344\)	6.6.0.b.1	$[ ]$	$1$
209088.ca1	209088gg1	209088.ca	209088gg	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 11^{2} \)	\( - 2^{18} \cdot 3^{3} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$1$	$1$		$0$	$811008$	$1.647312$	$-8019$	$0.82546$	$3.60314$	$1$	$[0, 0, 0, -47916, 4450864]$	\(y^2=x^3-47916x+4450864\)	6.6.0.b.1	$[ ]$	$1$
209088.ce1	209088m1	209088.ce	209088m	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 11^{2} \)	\( - 2^{18} \cdot 3^{3} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$1$	$1$		$0$	$73728$	$0.448365$	$-8019$	$0.82546$	$2.42871$	$1$	$[0, 0, 0, -396, 3344]$	\(y^2=x^3-396x+3344\)	6.6.0.b.1	$[ ]$	$1$
209088.fw1	209088bn1	209088.fw	209088bn	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 11^{2} \)	\( - 2^{18} \cdot 3^{9} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$1$	$1$		$0$	$2433024$	$2.196621$	$-8019$	$0.82546$	$4.14122$	$1$	$[0, 0, 0, -431244, 120173328]$	\(y^2=x^3-431244x+120173328\)	6.6.0.b.1	$[ ]$	$1$
209088.fx1	209088hh1	209088.fx	209088hh	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 11^{2} \)	\( - 2^{18} \cdot 3^{9} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$1$	$1$		$0$	$221184$	$0.997671$	$-8019$	$0.82546$	$2.96679$	$1$	$[0, 0, 0, -3564, 90288]$	\(y^2=x^3-3564x+90288\)	6.6.0.b.1	$[ ]$	$1$
209088.gf1	209088hk1	209088.gf	209088hk	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 11^{2} \)	\( - 2^{18} \cdot 3^{9} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$1$	$9$	$3$	$0$	$2433024$	$2.196621$	$-8019$	$0.82546$	$4.14122$	$1$	$[0, 0, 0, -431244, -120173328]$	\(y^2=x^3-431244x-120173328\)	6.6.0.b.1	$[ ]$	$1$
209088.gg1	209088bq1	209088.gg	209088bq	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 11^{2} \)	\( - 2^{18} \cdot 3^{9} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$6$	$0$	$1$	$1$		$0$	$221184$	$0.997671$	$-8019$	$0.82546$	$2.96679$	$1$	$[0, 0, 0, -3564, -90288]$	\(y^2=x^3-3564x-90288\)	6.6.0.b.1	$[ ]$	$1$

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