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
42042.bu1	42042cc1	42042.bu	42042cc	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{2} \cdot 3^{3} \cdot 7^{10} \cdot 11^{7} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$8.142702992$	$1$		$2$	$2399040$	$2.518902$	$29032124914751/355679845092$	$0.98025$	$5.02166$	$[1, 1, 1, 420125, 470903621]$	\(y^2+xy+y=x^3+x^2+420125x+470903621\)	132.2.0.?	$[(17011, 2211972)]$
42042.dp1	42042cv1	42042.dp	42042cv	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{2} \cdot 3^{3} \cdot 7^{4} \cdot 11^{7} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$342720$	$1.545946$	$29032124914751/355679845092$	$0.98025$	$3.92501$	$[1, 0, 0, 8574, -1371672]$	\(y^2+xy=x^3+8574x-1371672\)	132.2.0.?	$[ ]$
126126.b1	126126bn1	126126.b	126126bn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{2} \cdot 3^{9} \cdot 7^{4} \cdot 11^{7} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.102370636$	$1$		$36$	$2741760$	$2.095253$	$29032124914751/355679845092$	$0.98025$	$4.11910$	$[1, -1, 0, 77166, 37035144]$	\(y^2+xy=x^3-x^2+77166x+37035144\)	132.2.0.?	$[(711, 20880), (282, 8868)]$
126126.db1	126126ct1	126126.db	126126ct	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{2} \cdot 3^{9} \cdot 7^{10} \cdot 11^{7} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$19192320$	$3.068207$	$29032124914751/355679845092$	$0.98025$	$5.11317$	$[1, -1, 0, 3781125, -12710616647]$	\(y^2+xy=x^3-x^2+3781125x-12710616647\)	132.2.0.?	$[ ]$
336336.em1	336336em1	336336.em	336336em	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{14} \cdot 3^{3} \cdot 7^{4} \cdot 11^{7} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$8225280$	$2.239094$	$29032124914751/355679845092$	$0.98025$	$3.93726$	$[0, -1, 0, 137184, 87787008]$	\(y^2=x^3-x^2+137184x+87787008\)	132.2.0.?	$[ ]$
336336.et1	336336et1	336336.et	336336et	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{14} \cdot 3^{3} \cdot 7^{10} \cdot 11^{7} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.748587611$	$1$		$4$	$57576960$	$3.212048$	$29032124914751/355679845092$	$0.98025$	$4.85472$	$[0, 1, 0, 6722000, -30124387756]$	\(y^2=x^3+x^2+6722000x-30124387756\)	132.2.0.?	$[(2804, 103818)]$
462462.e1	462462e1	462462.e	462462e	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{3} \cdot 7^{10} \cdot 11^{13} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$287884800$	$3.717850$	$29032124914751/355679845092$	$0.98025$	$5.20151$	$[1, 1, 0, 50835123, -626518544175]$	\(y^2+xy=x^3+x^2+50835123x-626518544175\)	132.2.0.?	$[ ]$
462462.fh1	462462fh1	462462.fh	462462fh	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{3} \cdot 7^{4} \cdot 11^{13} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.911506964$	$1$		$0$	$41126400$	$2.744896$	$29032124914751/355679845092$	$0.98025$	$4.30644$	$[1, 0, 1, 1037451, 1826732884]$	\(y^2+xy+y=x^3+1037451x+1826732884\)	132.2.0.?	$[(13241/5, 6247824/5)]$

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