Elliptic curve search results

Results (9 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
10470.e1	10470e1	10470.e	10470e	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 349 \)	\( - 2^{4} \cdot 3 \cdot 5 \cdot 349 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$10470$	$2$	$0$	$1$	$1$		$0$	$1152$	$-0.371619$	$-13997521/83760$	$0.78085$	$2.04000$	$1$	$[1, 0, 0, -5, -15]$	\(y^2+xy=x^3-5x-15\)	10470.2.0.?	$[ ]$	$1$
31410.a1	31410c1	31410.a	31410c	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 349 \)	\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 349 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10470$	$2$	$0$	$0.442261148$	$1$		$16$	$9216$	$0.177687$	$-13997521/83760$	$0.78085$	$2.46014$	$1$	$[1, -1, 0, -45, 405]$	\(y^2+xy=x^3-x^2-45x+405\)	10470.2.0.?	$[(6, 15), (-3, 24)]$	$1$
52350.d1	52350b1	52350.d	52350b	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 349 \)	\( - 2^{4} \cdot 3 \cdot 5^{7} \cdot 349 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10470$	$2$	$0$	$1.365004073$	$1$		$2$	$27648$	$0.433100$	$-13997521/83760$	$0.78085$	$2.62655$	$1$	$[1, 1, 0, -125, -1875]$	\(y^2+xy=x^3+x^2-125x-1875\)	10470.2.0.?	$[(30, 135)]$	$1$
83760.h1	83760p1	83760.h	83760p	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \)	\( - 2^{16} \cdot 3 \cdot 5 \cdot 349 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10470$	$2$	$0$	$0.817724870$	$1$		$4$	$27648$	$0.321528$	$-13997521/83760$	$0.78085$	$2.39954$	$1$	$[0, -1, 0, -80, 960]$	\(y^2=x^3-x^2-80x+960\)	10470.2.0.?	$[(-8, 32)]$	$1$
157050.u1	157050j1	157050.u	157050j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 349 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 349 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10470$	$2$	$0$	$0.430608066$	$1$		$6$	$221184$	$0.982407$	$-13997521/83760$	$0.78085$	$2.93632$	$1$	$[1, -1, 1, -1130, 49497]$	\(y^2+xy+y=x^3-x^2-1130x+49497\)	10470.2.0.?	$[(-1, 225)]$	$1$
251280.l1	251280l1	251280.l	251280l	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \)	\( - 2^{16} \cdot 3^{7} \cdot 5 \cdot 349 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10470$	$2$	$0$	$2.291873112$	$1$		$2$	$221184$	$0.870834$	$-13997521/83760$	$0.78085$	$2.71765$	$1$	$[0, 0, 0, -723, -25198]$	\(y^2=x^3-723x-25198\)	10470.2.0.?	$[(217, 3168)]$	$1$
335040.l1	335040l1	335040.l	335040l	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 349 \)	\( - 2^{22} \cdot 3 \cdot 5 \cdot 349 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10470$	$2$	$0$	$1$	$1$		$0$	$221184$	$0.668102$	$-13997521/83760$	$0.78085$	$2.46497$	$1$	$[0, -1, 0, -321, -7359]$	\(y^2=x^3-x^2-321x-7359\)	10470.2.0.?	$[ ]$	$1$
335040.bm1	335040bm1	335040.bm	335040bm	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 349 \)	\( - 2^{22} \cdot 3 \cdot 5 \cdot 349 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10470$	$2$	$0$	$1$	$1$		$0$	$221184$	$0.668102$	$-13997521/83760$	$0.78085$	$2.46497$	$1$	$[0, 1, 0, -321, 7359]$	\(y^2=x^3+x^2-321x+7359\)	10470.2.0.?	$[ ]$	$1$
418800.bu1	418800bu1	418800.bu	418800bu	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 349 \)	\( - 2^{16} \cdot 3 \cdot 5^{7} \cdot 349 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10470$	$2$	$0$	$2.227466134$	$1$		$2$	$663552$	$1.126247$	$-13997521/83760$	$0.78085$	$2.84718$	$1$	$[0, 1, 0, -2008, 115988]$	\(y^2=x^3+x^2-2008x+115988\)	10470.2.0.?	$[(22, 288)]$	$1$

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