Elliptic curves over $\Q$ of conductor 229242

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (12 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
229242.a1	229242e1	229242.a	229242e	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 2939 \)	\( - 2^{6} \cdot 3^{5} \cdot 13 \cdot 2939 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$458484$	$2$	$0$	$0.428557034$	$1$		$6$	$100800$	$0.475794$	$-29472131485369/594195264$	$0.81269$	$2.51559$	$1$	$[1, 0, 1, -644, 6338]$	\(y^2+xy+y=x^3-644x+6338\)	458484.2.0.?	$[(9, 31)]$	$1$
229242.b1	229242f1	229242.b	229242f	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 2939 \)	\( 2^{2} \cdot 3^{7} \cdot 13^{4} \cdot 2939 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.4	2B	$70536$	$12$	$0$	$2.650141047$	$1$		$3$	$1232000$	$1.509478$	$264879553464005181625/734313934692$	$0.94839$	$3.81006$	$1$	$[1, 0, 1, -133796, -18848050]$	\(y^2+xy+y=x^3-133796x-18848050\)	2.3.0.a.1, 8.6.0.d.1, 17634.6.0.?, 70536.12.0.?	$[(426, 1015)]$	$1$
229242.b2	229242f2	229242.b	229242f	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 2939 \)	\( - 2 \cdot 3^{14} \cdot 13^{2} \cdot 2939^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.5	2B	$70536$	$12$	$0$	$5.300282094$	$1$		$2$	$2464000$	$1.856050$	$-254968550516167449625/13964115699493362$	$0.91335$	$3.81430$	$1$	$[1, 0, 1, -132106, -19346938]$	\(y^2+xy+y=x^3-132106x-19346938\)	2.3.0.a.1, 8.6.0.a.1, 35268.6.0.?, 70536.12.0.?	$[(108430, 35650226)]$	$1$
229242.c1	229242g1	229242.c	229242g	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 2939 \)	\( - 2^{2} \cdot 3^{3} \cdot 13^{5} \cdot 2939 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$458484$	$2$	$0$	$0.253687883$	$1$		$8$	$469440$	$0.803288$	$-3803721481/117852853716$	$0.91092$	$2.66942$	$1$	$[1, 0, 1, -33, -16520]$	\(y^2+xy+y=x^3-33x-16520\)	458484.2.0.?	$[(65, 474)]$	$1$
229242.d1	229242h1	229242.d	229242h	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 2939 \)	\( - 2^{10} \cdot 3 \cdot 13^{3} \cdot 2939 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$458484$	$2$	$0$	$2.856631423$	$1$		$0$	$215520$	$0.714302$	$-185202747171001/19835851776$	$0.82961$	$2.67549$	$1$	$[1, 0, 1, -1188, -17246]$	\(y^2+xy+y=x^3-1188x-17246\)	458484.2.0.?	$[(361/3, -347/3)]$	$1$
229242.e1	229242i1	229242.e	229242i	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 2939 \)	\( - 2^{4} \cdot 3^{3} \cdot 13 \cdot 2939 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$458484$	$2$	$0$	$1$	$1$		$0$	$105024$	$0.073147$	$22117051943/16505424$	$0.76250$	$1.92988$	$1$	$[1, 0, 1, 58, -88]$	\(y^2+xy+y=x^3+58x-88\)	458484.2.0.?	$[ ]$	$1$
229242.f1	229242d1	229242.f	229242d	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 2939 \)	\( 2^{14} \cdot 3^{4} \cdot 13 \cdot 2939 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$152828$	$2$	$0$	$0.543437947$	$1$		$16$	$196224$	$0.755446$	$144413911644625/50704662528$	$0.83501$	$2.64157$	$1$	$[1, 1, 1, -1093, 8267]$	\(y^2+xy+y=x^3+x^2-1093x+8267\)	152828.2.0.?	$[(-25, 156), (7, 28)]$	$1$
229242.g1	229242a2	229242.g	229242a	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 2939 \)	\( 2^{12} \cdot 3 \cdot 13^{2} \cdot 2939^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$458484$	$12$	$0$	$1$	$1$		$0$	$2108928$	$1.487194$	$30008356914029981761/17937713344512$	$0.90210$	$3.63361$	$1$	$[1, 0, 0, -64740, -6342384]$	\(y^2+xy=x^3-64740x-6342384\)	2.3.0.a.1, 12.6.0.a.1, 152828.6.0.?, 458484.12.0.?	$[ ]$	$1$
229242.g2	229242a1	229242.g	229242a	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 2939 \)	\( - 2^{24} \cdot 3^{2} \cdot 13 \cdot 2939 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$458484$	$12$	$0$	$1$	$1$		$1$	$1054464$	$1.140621$	$-3974419976155201/5769063825408$	$0.86648$	$3.01184$	$1$	$[1, 0, 0, -3300, -136944]$	\(y^2+xy=x^3-3300x-136944\)	2.3.0.a.1, 12.6.0.b.1, 76414.6.0.?, 458484.12.0.?	$[ ]$	$1$
229242.h1	229242b1	229242.h	229242b	$2$	$7$	\( 2 \cdot 3 \cdot 13 \cdot 2939 \)	\( - 2^{14} \cdot 3^{7} \cdot 13^{7} \cdot 2939 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$3209388$	$96$	$2$	$1$	$1$		$6$	$10536960$	$2.794025$	$-1000099030268818209411019729/6608026478667055104$	$0.96912$	$5.03705$	$1$	$[1, 0, 0, -20834021, 36600720897]$	\(y^2+xy=x^3-20834021x+36600720897\)	7.48.0-7.a.1.2, 458484.2.0.?, 3209388.96.2.?	$[ ]$	$1$
229242.h2	229242b2	229242.h	229242b	$2$	$7$	\( 2 \cdot 3 \cdot 13 \cdot 2939 \)	\( - 2^{2} \cdot 3 \cdot 13 \cdot 2939^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$3209388$	$96$	$2$	$1$	$49$	$7$	$0$	$73758720$	$3.766979$	$358794805479514151598884837231/295475652831033359840216724$	$0.99683$	$5.51366$	$1$	$[1, 0, 0, 148038319, -450912048483]$	\(y^2+xy=x^3+148038319x-450912048483\)	7.48.0-7.a.2.2, 458484.2.0.?, 3209388.96.2.?	$[ ]$	$1$
229242.i1	229242c1	229242.i	229242c	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 2939 \)	\( - 2^{2} \cdot 3^{7} \cdot 13 \cdot 2939 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$458484$	$2$	$0$	$1$	$1$		$0$	$74592$	$0.315936$	$-10091699281/334234836$	$0.80724$	$2.19561$	$1$	$[1, 0, 0, -45, -891]$	\(y^2+xy=x^3-45x-891\)	458484.2.0.?	$[ ]$	$1$

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