Elliptic curve search results

Results (14 matches)

 

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
32340.i1	32340i1	32340.i	32340i	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.192789314$	$1$		$2$	$51840$	$1.132917$	$-205520896/9882675$	$1.11242$	$3.55370$	$[0, -1, 0, -1045, -118943]$	\(y^2=x^3-x^2-1045x-118943\)	6.2.0.a.1	$[(264, 4235)]$
32340.bb1	32340bd1	32340.bb	32340bd	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{10} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$362880$	$2.105873$	$-205520896/9882675$	$1.11242$	$4.67806$	$[0, 1, 0, -51221, 40899879]$	\(y^2=x^3+x^2-51221x+40899879\)	6.2.0.a.1	$[]$
97020.s1	97020bh1	97020.s	97020bh	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 11^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.103847827$	$1$		$34$	$414720$	$1.682222$	$-205520896/9882675$	$1.11242$	$3.78775$	$[0, 0, 0, -9408, 3220868]$	\(y^2=x^3-9408x+3220868\)	6.2.0.a.1	$[(364, 6930), (133, 2079)]$
97020.da1	97020db1	97020.da	97020db	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{10} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$2903040$	$2.655178$	$-205520896/9882675$	$1.11242$	$4.80454$	$[0, 0, 0, -460992, -1104757724]$	\(y^2=x^3-460992x-1104757724\)	6.2.0.a.1	$[]$
129360.cg1	129360em1	129360.cg	129360em	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{10} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$1451520$	$2.105873$	$-205520896/9882675$	$1.11242$	$4.12709$	$[0, -1, 0, -51221, -40899879]$	\(y^2=x^3-x^2-51221x-40899879\)	6.2.0.a.1	$[]$
129360.hc1	129360hd1	129360.hc	129360hd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.319871553$	$1$		$6$	$207360$	$1.132917$	$-205520896/9882675$	$1.11242$	$3.13515$	$[0, 1, 0, -1045, 118943]$	\(y^2=x^3+x^2-1045x+118943\)	6.2.0.a.1	$[(11, 330)]$
161700.e1	161700dv1	161700.e	161700dv	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{10} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$4.068973999$	$1$		$2$	$8709120$	$2.910591$	$-205520896/9882675$	$1.11242$	$4.85545$	$[0, -1, 0, -1280533, 5115045937]$	\(y^2=x^3-x^2-1280533x+5115045937\)	6.2.0.a.1	$[(-1968, 3025)]$
161700.dt1	161700cj1	161700.dt	161700cj	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{4} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.851117234$	$1$		$2$	$1244160$	$1.937635$	$-205520896/9882675$	$1.11242$	$3.88197$	$[0, 1, 0, -26133, -14920137]$	\(y^2=x^3+x^2-26133x-14920137\)	6.2.0.a.1	$[(713, 18150)]$
355740.ce1	355740ce1	355740.ce	355740ce	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$6220800$	$2.331863$	$-205520896/9882675$	$1.11242$	$4.01262$	$[0, -1, 0, -126485, 158819025]$	\(y^2=x^3-x^2-126485x+158819025\)	6.2.0.a.1	$[]$
355740.co1	355740co1	355740.co	355740co	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{10} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$5.895159698$	$1$		$2$	$43545600$	$3.304821$	$-205520896/9882675$	$1.11242$	$4.92606$	$[0, 1, 0, -6197781, -54462530025]$	\(y^2=x^3+x^2-6197781x-54462530025\)	6.2.0.a.1	$[(44337, 9318210)]$
388080.l1	388080l1	388080.l	388080l	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.782138484$	$1$		$4$	$1658880$	$1.682222$	$-205520896/9882675$	$1.11242$	$3.37972$	$[0, 0, 0, -9408, -3220868]$	\(y^2=x^3-9408x-3220868\)	6.2.0.a.1	$[(186, 1210)]$
388080.lg1	388080lg1	388080.lg	388080lg	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{10} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$2.419765339$	$1$		$2$	$11612160$	$2.655178$	$-205520896/9882675$	$1.11242$	$4.28697$	$[0, 0, 0, -460992, 1104757724]$	\(y^2=x^3-460992x+1104757724\)	6.2.0.a.1	$[(634, 32670)]$
485100.dx1	485100dx1	485100.dx	485100dx	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{10} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$6.824199238$	$1$		$2$	$69672960$	$3.459896$	$-205520896/9882675$	$1.11242$	$4.95150$	$[0, 0, 0, -11524800, -138094715500]$	\(y^2=x^3-11524800x-138094715500\)	6.2.0.a.1	$[(34549, 6379857)]$
485100.in1	485100in1	485100.in	485100in	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{4} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$9953280$	$2.486942$	$-205520896/9882675$	$1.11242$	$4.05970$	$[0, 0, 0, -235200, 402608500]$	\(y^2=x^3-235200x+402608500\)	6.2.0.a.1	$[]$