Elliptic curve search results

Results (16 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
36960.u4	36960bm2	36960.u	36960bm	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{9} \cdot 3^{12} \cdot 5^{4} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$840$	$48$	$0$	$1$	$1$		$1$	$122880$	$1.396482$	$5599924283512/281331579375$	$0.97059$	$3.80736$	$[0, -1, 0, 2960, 573112]$	\(y^2=x^3-x^2+2960x+573112\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.v.1.1, 120.24.0.?, 840.48.0.?	$[ ]$
36960.bl4	36960bt2	36960.bl	36960bt	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{9} \cdot 3^{12} \cdot 5^{4} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$840$	$48$	$0$	$2.093751470$	$1$		$9$	$122880$	$1.396482$	$5599924283512/281331579375$	$0.97059$	$3.80736$	$[0, 1, 0, 2960, -573112]$	\(y^2=x^3+x^2+2960x-573112\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.v.1.4, 120.24.0.?, 840.48.0.?	$[(86, 570)]$
73920.k4	73920eb3	73920.k	73920eb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{15} \cdot 3^{12} \cdot 5^{4} \cdot 7 \cdot 11^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$840$	$48$	$0$	$5.482035529$	$1$		$13$	$491520$	$1.743057$	$5599924283512/281331579375$	$0.97059$	$3.94293$	$[0, -1, 0, 11839, -4596735]$	\(y^2=x^3-x^2+11839x-4596735\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.2, 56.24.0-56.v.1.3, $\ldots$	$[(193, 2200), (721, 19448)]$
73920.gd4	73920gy3	73920.gd	73920gy	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{15} \cdot 3^{12} \cdot 5^{4} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$840$	$48$	$0$	$1.011388141$	$1$		$7$	$491520$	$1.743057$	$5599924283512/281331579375$	$0.97059$	$3.94293$	$[0, 1, 0, 11839, 4596735]$	\(y^2=x^3+x^2+11839x+4596735\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.1, 56.24.0-56.v.1.2, $\ldots$	$[(82, 2475)]$
110880.f4	110880w2	110880.f	110880w	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{9} \cdot 3^{18} \cdot 5^{4} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$1$		$1$	$983040$	$1.945789$	$5599924283512/281331579375$	$0.97059$	$4.01473$	$[0, 0, 0, 26637, 15500662]$	\(y^2=x^3+26637x+15500662\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 56.12.0.v.1, $\ldots$	$[ ]$
110880.bs4	110880bl2	110880.bs	110880bl	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{9} \cdot 3^{18} \cdot 5^{4} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$983040$	$1.945789$	$5599924283512/281331579375$	$0.97059$	$4.01473$	$[0, 0, 0, 26637, -15500662]$	\(y^2=x^3+26637x-15500662\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 56.12.0.v.1, $\ldots$	$[ ]$
184800.dd4	184800ge3	184800.dd	184800ge	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{9} \cdot 3^{12} \cdot 5^{10} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$6.718199418$	$1$		$1$	$2949120$	$2.201202$	$5599924283512/281331579375$	$0.97059$	$4.09836$	$[0, -1, 0, 73992, -71786988]$	\(y^2=x^3-x^2+73992x-71786988\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 56.12.0.v.1, $\ldots$	$[(1477/2, 19173/2)]$
184800.ed4	184800fp3	184800.ed	184800fp	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{9} \cdot 3^{12} \cdot 5^{10} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$1$		$1$	$2949120$	$2.201202$	$5599924283512/281331579375$	$0.97059$	$4.09836$	$[0, 1, 0, 73992, 71786988]$	\(y^2=x^3+x^2+73992x+71786988\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 56.12.0.v.1, $\ldots$	$[ ]$
221760.ju4	221760cf3	221760.ju	221760cf	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{15} \cdot 3^{18} \cdot 5^{4} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$3.170380076$	$1$		$3$	$3932160$	$2.292362$	$5599924283512/281331579375$	$0.97059$	$4.12652$	$[0, 0, 0, 106548, 124005296]$	\(y^2=x^3+106548x+124005296\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.4, 56.12.0.v.1, $\ldots$	$[(-28, 11000)]$
221760.lz4	221760bd4	221760.lz	221760bd	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{15} \cdot 3^{18} \cdot 5^{4} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$2.642722198$	$1$		$3$	$3932160$	$2.292362$	$5599924283512/281331579375$	$0.97059$	$4.12652$	$[0, 0, 0, 106548, -124005296]$	\(y^2=x^3+106548x-124005296\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.4, 56.12.0.v.1, $\ldots$	$[(1898, 83160)]$
258720.bj4	258720bj3	258720.bj	258720bj	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{9} \cdot 3^{12} \cdot 5^{4} \cdot 7^{7} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$840$	$48$	$0$	$1$	$1$		$1$	$5898240$	$2.369438$	$5599924283512/281331579375$	$0.97059$	$4.14969$	$[0, -1, 0, 145024, 196867476]$	\(y^2=x^3-x^2+145024x+196867476\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.2, 56.24.0-56.v.1.3, $\ldots$	$[ ]$
258720.dp4	258720dp3	258720.dp	258720dp	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{9} \cdot 3^{12} \cdot 5^{4} \cdot 7^{7} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$840$	$48$	$0$	$1$	$1$		$1$	$5898240$	$2.369438$	$5599924283512/281331579375$	$0.97059$	$4.14969$	$[0, 1, 0, 145024, -196867476]$	\(y^2=x^3+x^2+145024x-196867476\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.1, 56.24.0-56.v.1.2, $\ldots$	$[ ]$
369600.ef4	369600ef3	369600.ef	369600ef	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{15} \cdot 3^{12} \cdot 5^{10} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$2.692514092$	$1$		$5$	$11796480$	$2.547775$	$5599924283512/281331579375$	$0.97059$	$4.20117$	$[0, -1, 0, 295967, 573999937]$	\(y^2=x^3-x^2+295967x+573999937\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0-4.c.1.1, 56.12.0.v.1, $\ldots$	$[(16, 24057)]$
369600.sc4	369600sc4	369600.sc	369600sc	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{15} \cdot 3^{12} \cdot 5^{10} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$1$		$1$	$11796480$	$2.547775$	$5599924283512/281331579375$	$0.97059$	$4.20117$	$[0, 1, 0, 295967, -573999937]$	\(y^2=x^3+x^2+295967x-573999937\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0-4.c.1.2, 56.12.0.v.1, $\ldots$	$[ ]$
406560.cd4	406560cd3	406560.cd	406560cd	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{12} \cdot 5^{4} \cdot 7 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$24.95045906$	$1$		$1$	$14745600$	$2.595432$	$5599924283512/281331579375$	$0.97059$	$4.21445$	$[0, -1, 0, 358120, -764244600]$	\(y^2=x^3-x^2+358120x-764244600\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 56.12.0.v.1, 120.12.0.?, $\ldots$	$[(1355252144021/27871, 1556411640924509010/27871)]$
406560.fr4	406560fr3	406560.fr	406560fr	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{12} \cdot 5^{4} \cdot 7 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$2.245341978$	$1$		$5$	$14745600$	$2.595432$	$5599924283512/281331579375$	$0.97059$	$4.21445$	$[0, 1, 0, 358120, 764244600]$	\(y^2=x^3+x^2+358120x+764244600\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 56.12.0.v.1, 120.12.0.?, $\ldots$	$[(430, 31590)]$

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