Elliptic curve search results

Results (8 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
6774.a1	6774b2	6774.a	6774b	$2$	$2$	\( 2 \cdot 3 \cdot 1129 \)	\( 2^{20} \cdot 3 \cdot 1129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$13548$	$12$	$0$	$38.52483371$	$1$		$0$	$153600$	$2.467117$	$522258150608238292612052473/4009673883648$	$1.02384$	$6.97441$	$[1, 1, 0, -16777239, -26457185067]$	\(y^2+xy=x^3+x^2-16777239x-26457185067\)	2.3.0.a.1, 12.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(1751743693411601309/4925660, 2310383627250836953135943157/4925660)]$
20322.e1	20322e2	20322.e	20322e	$2$	$2$	\( 2 \cdot 3^{2} \cdot 1129 \)	\( 2^{20} \cdot 3^{7} \cdot 1129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$1.534554747$	$1$		$2$	$1228800$	$3.016422$	$522258150608238292612052473/4009673883648$	$1.02384$	$6.86649$	$[1, -1, 1, -150995156, 714193001655]$	\(y^2+xy+y=x^3-x^2-150995156x+714193001655\)	2.3.0.a.1, 12.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(7205, 12525)]$
54192.bd1	54192bc2	54192.bd	54192bc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 1129 \)	\( 2^{32} \cdot 3 \cdot 1129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$44.43942077$	$1$		$1$	$3686400$	$3.160267$	$522258150608238292612052473/4009673883648$	$1.02384$	$6.40698$	$[0, 1, 0, -268435832, 1692722972628]$	\(y^2=x^3+x^2-268435832x+1692722972628\)	2.3.0.a.1, 12.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(2713720658706025400844/535372879, 229906777040480571627504043650/535372879)]$
162576.f1	162576d2	162576.f	162576d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 1129 \)	\( 2^{32} \cdot 3^{7} \cdot 1129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$67.44489430$	$1$		$1$	$29491200$	$3.709572$	$522258150608238292612052473/4009673883648$	$1.02384$	$6.36972$	$[0, 0, 0, -2415922491, -45705936183446]$	\(y^2=x^3-2415922491x-45705936183446\)	2.3.0.a.1, 12.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(10530689144137732844135343936687/9573798562061, 30312946283374729177550777530751272724214451490/9573798562061)]$
169350.z1	169350e2	169350.z	169350e	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 1129 \)	\( 2^{20} \cdot 3 \cdot 5^{6} \cdot 1129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$5.999968048$	$4$	$2$	$2$	$19660800$	$3.271835$	$522258150608238292612052473/4009673883648$	$1.02384$	$5.91183$	$[1, 0, 0, -419430988, -3306309271408]$	\(y^2+xy=x^3-419430988x-3306309271408\)	2.3.0.a.1, 12.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(1575832, 1977220084)]$
216768.j1	216768ba2	216768.j	216768ba	$2$	$2$	\( 2^{6} \cdot 3 \cdot 1129 \)	\( 2^{38} \cdot 3 \cdot 1129^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$1$	$1$		$1$	$29491200$	$3.506840$	$522258150608238292612052473/4009673883648$	$1.02384$	$6.02257$	$[0, -1, 0, -1073743329, 13542857524353]$	\(y^2=x^3-x^2-1073743329x+13542857524353\)	2.3.0.a.1, 12.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[ ]$
216768.bw1	216768bt2	216768.bw	216768bt	$2$	$2$	\( 2^{6} \cdot 3 \cdot 1129 \)	\( 2^{38} \cdot 3 \cdot 1129^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$1$	$64$	$2$	$1$	$29491200$	$3.506840$	$522258150608238292612052473/4009673883648$	$1.02384$	$6.02257$	$[0, 1, 0, -1073743329, -13542857524353]$	\(y^2=x^3+x^2-1073743329x-13542857524353\)	2.3.0.a.1, 12.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[ ]$
331926.j1	331926j2	331926.j	331926j	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 1129 \)	\( 2^{20} \cdot 3 \cdot 7^{6} \cdot 1129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$21.21081938$	$1$		$0$	$58982400$	$3.440071$	$522258150608238292612052473/4009673883648$	$1.02384$	$5.75770$	$[1, 0, 1, -822084737, 9072348223796]$	\(y^2+xy+y=x^3-822084737x+9072348223796\)	2.3.0.a.1, 12.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(59270194061/644, 14140015336157745/644)]$

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