Elliptic curve search results

Results (14 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
48552.b1	48552e1	48552.b	48552e	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$13.85069228$	$1$		$0$	$217728$	$1.609402$	$-130098552670514/257298363$	$0.98992$	$4.24394$	$[0, -1, 0, -88632, -10144116]$	\(y^2=x^3-x^2-88632x-10144116\)	24.2.0.b.1	$[(16992205/113, 68087300064/113)]$
48552.bc1	48552v1	48552.bc	48552v	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{6} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$3701376$	$3.026009$	$-130098552670514/257298363$	$0.98992$	$5.81935$	$[0, 1, 0, -25614744, -49991730192]$	\(y^2=x^3+x^2-25614744x-49991730192\)	24.2.0.b.1	$[ ]$
97104.bj1	97104c1	97104.bj	97104c	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{6} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$7402752$	$3.026009$	$-130098552670514/257298363$	$0.98992$	$5.46809$	$[0, -1, 0, -25614744, 49991730192]$	\(y^2=x^3-x^2-25614744x+49991730192\)	24.2.0.b.1	$[ ]$
97104.bu1	97104bd1	97104.bu	97104bd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.060992952$	$1$		$16$	$435456$	$1.609402$	$-130098552670514/257298363$	$0.98992$	$3.98778$	$[0, 1, 0, -88632, 10144116]$	\(y^2=x^3+x^2-88632x+10144116\)	24.2.0.b.1	$[(162, 252)]$
145656.d1	145656c1	145656.d	145656c	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{13} \cdot 7^{6} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$3.315464829$	$1$		$2$	$29611008$	$3.575314$	$-130098552670514/257298363$	$0.98992$	$5.83604$	$[0, 0, 0, -230532699, 1349546182486]$	\(y^2=x^3-230532699x+1349546182486\)	24.2.0.b.1	$[(5822, 452466)]$
145656.bm1	145656v1	145656.bm	145656v	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{13} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$6.388777202$	$1$		$0$	$1741824$	$2.158707$	$-130098552670514/257298363$	$0.98992$	$4.40621$	$[0, 0, 0, -797691, 274688822]$	\(y^2=x^3-797691x+274688822\)	24.2.0.b.1	$[(8654/5, 790958/5)]$
291312.j1	291312j1	291312.j	291312j	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{13} \cdot 7^{6} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$29.24506581$	$1$		$0$	$59222016$	$3.575314$	$-130098552670514/257298363$	$0.98992$	$5.51454$	$[0, 0, 0, -230532699, -1349546182486]$	\(y^2=x^3-230532699x-1349546182486\)	24.2.0.b.1	$[(124667546729615/83669, 257156846944949403718/83669)]$
291312.fv1	291312fv1	291312.fv	291312fv	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{13} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$3.388986980$	$1$		$2$	$3483648$	$2.158707$	$-130098552670514/257298363$	$0.98992$	$4.16347$	$[0, 0, 0, -797691, -274688822]$	\(y^2=x^3-797691x-274688822\)	24.2.0.b.1	$[(15767, 1976562)]$
339864.g1	339864g1	339864.g	339864g	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{12} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$18.49934337$	$1$		$0$	$177666048$	$3.998962$	$-130098552670514/257298363$	$0.98992$	$5.84695$	$[0, -1, 0, -1255122472, 17144653210924]$	\(y^2=x^3-x^2-1255122472x+17144653210924\)	24.2.0.b.1	$[(11142621741/898, 1131107896468151/898)]$
339864.cx1	339864cx1	339864.cx	339864cx	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{12} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$2.393938843$	$1$		$2$	$10450944$	$2.582355$	$-130098552670514/257298363$	$0.98992$	$4.51224$	$[0, 1, 0, -4342984, 3488117744]$	\(y^2=x^3+x^2-4342984x+3488117744\)	24.2.0.b.1	$[(9515, 907578)]$
388416.o1	388416o1	388416.o	388416o	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{7} \cdot 7^{6} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$2.703510751$	$1$		$2$	$59222016$	$3.372581$	$-130098552670514/257298363$	$0.98992$	$5.20224$	$[0, -1, 0, -102458977, -399831382559]$	\(y^2=x^3-x^2-102458977x-399831382559\)	24.2.0.b.1	$[(16377, 1521296)]$
388416.ea1	388416ea1	388416.ea	388416ea	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{7} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1.020163936$	$1$		$2$	$3483648$	$1.955975$	$-130098552670514/257298363$	$0.98992$	$3.88138$	$[0, -1, 0, -354529, 81507457]$	\(y^2=x^3-x^2-354529x+81507457\)	24.2.0.b.1	$[(269, 2352)]$
388416.em1	388416em1	388416.em	388416em	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{7} \cdot 7^{6} \cdot 17^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.848716756$	$1$		$14$	$59222016$	$3.372581$	$-130098552670514/257298363$	$0.98992$	$5.20224$	$[0, 1, 0, -102458977, 399831382559]$	\(y^2=x^3+x^2-102458977x+399831382559\)	24.2.0.b.1	$[(6743, 124848), (-6262, 892143)]$
388416.ia1	388416ia1	388416.ia	388416ia	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{7} \cdot 7^{6} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$3483648$	$1.955975$	$-130098552670514/257298363$	$0.98992$	$3.88138$	$[0, 1, 0, -354529, -81507457]$	\(y^2=x^3+x^2-354529x-81507457\)	24.2.0.b.1	$[ ]$

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