Elliptic curve search results

Results (12 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
25350.u1	25350s1	25350.u	25350s	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 13^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$161280$	$1.507122$	$125801065/34992$	$0.98501$	$4.12064$	$[1, 1, 0, -23325, -997875]$	\(y^2+xy=x^3+x^2-23325x-997875\)	12.2.0.a.1	$[ ]$
25350.bu1	25350bi1	25350.bu	25350bi	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 13^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$419328$	$1.984879$	$125801065/34992$	$0.98501$	$4.68600$	$[1, 0, 1, -157681, -17380972]$	\(y^2+xy+y=x^3-157681x-17380972\)	12.2.0.a.1	$[ ]$
25350.by1	25350ck1	25350.by	25350ck	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 13^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$4.764058885$	$1$		$2$	$2096640$	$2.789597$	$125801065/34992$	$0.98501$	$5.63828$	$[1, 1, 1, -3942013, -2172621469]$	\(y^2+xy+y=x^3+x^2-3942013x-2172621469\)	12.2.0.a.1	$[(-615, 4732)]$
25350.cq1	25350da1	25350.cq	25350da	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 13^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$0.110589713$	$1$		$8$	$32256$	$0.702403$	$125801065/34992$	$0.98501$	$3.16836$	$[1, 0, 0, -933, -7983]$	\(y^2+xy=x^3-933x-7983\)	12.2.0.a.1	$[(-12, 45)]$
76050.e1	76050cx1	76050.e	76050cx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{13} \cdot 5^{8} \cdot 13^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$10.19024803$	$1$		$0$	$16773120$	$3.338902$	$125801065/34992$	$0.98501$	$5.67364$	$[1, -1, 0, -35478117, 58625301541]$	\(y^2+xy=x^3-x^2-35478117x+58625301541\)	12.2.0.a.1	$[(4630/3, 5427353/3)]$
76050.m1	76050bv1	76050.m	76050bv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{13} \cdot 5^{2} \cdot 13^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$0.498357130$	$1$		$16$	$258048$	$1.251709$	$125801065/34992$	$0.98501$	$3.44515$	$[1, -1, 0, -8397, 215541]$	\(y^2+xy=x^3-x^2-8397x+215541\)	12.2.0.a.1	$[(153, 1503), (-90, 531)]$
76050.fx1	76050ez1	76050.fx	76050ez	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{13} \cdot 5^{2} \cdot 13^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$3.888791365$	$1$		$2$	$3354624$	$2.534184$	$125801065/34992$	$0.98501$	$4.81445$	$[1, -1, 1, -1419125, 469286237]$	\(y^2+xy+y=x^3-x^2-1419125x+469286237\)	12.2.0.a.1	$[(1743, 56476)]$
76050.gh1	76050ga1	76050.gh	76050ga	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{13} \cdot 5^{8} \cdot 13^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$1290240$	$2.056427$	$125801065/34992$	$0.98501$	$4.30435$	$[1, -1, 1, -209930, 26732697]$	\(y^2+xy+y=x^3-x^2-209930x+26732697\)	12.2.0.a.1	$[ ]$
202800.f1	202800eo1	202800.f	202800eo	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 13^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$10063872$	$2.678024$	$125801065/34992$	$0.98501$	$4.56927$	$[0, -1, 0, -2522888, 1112382192]$	\(y^2=x^3-x^2-2522888x+1112382192\)	12.2.0.a.1	$[ ]$
202800.fm1	202800gr1	202800.fm	202800gr	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 13^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$774144$	$1.395550$	$125801065/34992$	$0.98501$	$3.30988$	$[0, -1, 0, -14928, 510912]$	\(y^2=x^3-x^2-14928x+510912\)	12.2.0.a.1	$[ ]$
202800.gc1	202800d1	202800.gc	202800d	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{16} \cdot 3^{7} \cdot 5^{8} \cdot 13^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$3870720$	$2.200268$	$125801065/34992$	$0.98501$	$4.10011$	$[0, 1, 0, -373208, 63117588]$	\(y^2=x^3+x^2-373208x+63117588\)	12.2.0.a.1	$[ ]$
202800.jx1	202800bh1	202800.jx	202800bh	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{16} \cdot 3^{7} \cdot 5^{8} \cdot 13^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$50319360$	$3.482742$	$125801065/34992$	$0.98501$	$5.35950$	$[0, 1, 0, -63072208, 138921629588]$	\(y^2=x^3+x^2-63072208x+138921629588\)	12.2.0.a.1	$[ ]$

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