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
38710.bd1	38710x1	38710.bd	38710x	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 79 \)	\( - 2^{13} \cdot 5^{5} \cdot 7^{4} \cdot 79^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3160$	$2$	$0$	$1$	$1$		$0$	$393120$	$1.911831$	$-172898395855742529/12621798400000$	$1.01255$	$4.50536$	$[1, -1, 1, -155413, 25063917]$	\(y^2+xy+y=x^3-x^2-155413x+25063917\)	3160.2.0.?	$[ ]$
38710.be1	38710bg1	38710.be	38710bg	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 79 \)	\( - 2^{13} \cdot 5^{5} \cdot 7^{10} \cdot 79^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3160$	$2$	$0$	$1$	$1$		$0$	$2751840$	$2.884785$	$-172898395855742529/12621798400000$	$1.01255$	$5.61058$	$[1, -1, 1, -7615222, -8581693179]$	\(y^2+xy+y=x^3-x^2-7615222x-8581693179\)	3160.2.0.?	$[ ]$
193550.u1	193550cs1	193550.u	193550cs	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 79 \)	\( - 2^{13} \cdot 5^{11} \cdot 7^{4} \cdot 79^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3160$	$2$	$0$	$2.531669564$	$1$		$2$	$9434880$	$2.716549$	$-172898395855742529/12621798400000$	$1.01255$	$4.70296$	$[1, -1, 0, -3885317, 3129104341]$	\(y^2+xy=x^3-x^2-3885317x+3129104341\)	3160.2.0.?	$[(1689, 36343)]$
193550.v1	193550cq1	193550.v	193550cq	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 79 \)	\( - 2^{13} \cdot 5^{11} \cdot 7^{10} \cdot 79^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3160$	$2$	$0$	$1$	$1$		$0$	$66044160$	$3.689507$	$-172898395855742529/12621798400000$	$1.01255$	$5.66207$	$[1, -1, 0, -190380542, -1072902027884]$	\(y^2+xy=x^3-x^2-190380542x-1072902027884\)	3160.2.0.?	$[ ]$
309680.bg1	309680bg1	309680.bg	309680bg	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 79 \)	\( - 2^{25} \cdot 5^{5} \cdot 7^{4} \cdot 79^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3160$	$2$	$0$	$1.668359980$	$1$		$2$	$9434880$	$2.604977$	$-172898395855742529/12621798400000$	$1.01255$	$4.42224$	$[0, 0, 0, -2486603, -1601604102]$	\(y^2=x^3-2486603x-1601604102\)	3160.2.0.?	$[(12677, 1415680)]$
309680.bt1	309680bt1	309680.bt	309680bt	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 79 \)	\( - 2^{25} \cdot 5^{5} \cdot 7^{10} \cdot 79^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3160$	$2$	$0$	$1.216524551$	$1$		$4$	$66044160$	$3.577934$	$-172898395855742529/12621798400000$	$1.01255$	$5.34569$	$[0, 0, 0, -121843547, 549350206986]$	\(y^2=x^3-121843547x+549350206986\)	3160.2.0.?	$[(-7843, 1011200)]$
348390.e1	348390e1	348390.e	348390e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 79 \)	\( - 2^{13} \cdot 3^{6} \cdot 5^{5} \cdot 7^{10} \cdot 79^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3160$	$2$	$0$	$17.65912919$	$1$		$0$	$88058880$	$3.434093$	$-172898395855742529/12621798400000$	$1.01255$	$5.16109$	$[1, -1, 0, -68536995, 231774252821]$	\(y^2+xy=x^3-x^2-68536995x+231774252821\)	3160.2.0.?	$[(121639705/163, 501423159322/163)]$
348390.br1	348390br1	348390.br	348390br	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 79 \)	\( - 2^{13} \cdot 3^{6} \cdot 5^{5} \cdot 7^{4} \cdot 79^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3160$	$2$	$0$	$9.992238852$	$1$		$2$	$12579840$	$2.461136$	$-172898395855742529/12621798400000$	$1.01255$	$4.24616$	$[1, -1, 0, -1398714, -675327052]$	\(y^2+xy=x^3-x^2-1398714x-675327052\)	3160.2.0.?	$[(64879, 16490260)]$

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