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
22344.c1	22344k1	22344.c	22344k	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{11} \cdot 3 \cdot 7^{10} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$10.88421386$	$1$		$0$	$376320$	$2.275177$	$-669003004754/390963$	$1.03852$	$5.42362$	$[0, -1, 0, -1518232, -719895476]$	\(y^2=x^3-x^2-1518232x-719895476\)	24.2.0.b.1	$[(450465/7, 299451286/7)]$
22344.bi1	22344n1	22344.bi	22344n	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{11} \cdot 3 \cdot 7^{4} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$53760$	$1.302223$	$-669003004754/390963$	$1.03852$	$4.25774$	$[0, 1, 0, -30984, 2089968]$	\(y^2=x^3+x^2-30984x+2089968\)	24.2.0.b.1	$[ ]$
44688.br1	44688c1	44688.br	44688c	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{11} \cdot 3 \cdot 7^{4} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$107520$	$1.302223$	$-669003004754/390963$	$1.03852$	$3.98211$	$[0, -1, 0, -30984, -2089968]$	\(y^2=x^3-x^2-30984x-2089968\)	24.2.0.b.1	$[ ]$
44688.cb1	44688bd1	44688.cb	44688bd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{11} \cdot 3 \cdot 7^{10} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1.804981681$	$1$		$2$	$752640$	$2.275177$	$-669003004754/390963$	$1.03852$	$5.07252$	$[0, 1, 0, -1518232, 719895476]$	\(y^2=x^3+x^2-1518232x+719895476\)	24.2.0.b.1	$[(802, 4332)]$
67032.h1	67032bt1	67032.h	67032bt	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{4} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1.801347966$	$1$		$2$	$430080$	$1.851528$	$-669003004754/390963$	$1.03852$	$4.42998$	$[0, 0, 0, -278859, -56707994]$	\(y^2=x^3-278859x-56707994\)	24.2.0.b.1	$[(1358, 45486)]$
67032.cn1	67032cu1	67032.cn	67032cu	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{10} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$5.456838000$	$1$		$2$	$3010560$	$2.824482$	$-669003004754/390963$	$1.03852$	$5.48060$	$[0, 0, 0, -13664091, 19450841942]$	\(y^2=x^3-13664091x+19450841942\)	24.2.0.b.1	$[(-4262, 16416)]$
134064.t1	134064dp1	134064.t	134064dp	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{4} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.736567889$	$1$		$4$	$860160$	$1.851528$	$-669003004754/390963$	$1.03852$	$4.16989$	$[0, 0, 0, -278859, 56707994]$	\(y^2=x^3-278859x+56707994\)	24.2.0.b.1	$[(295, 342)]$
134064.fp1	134064ff1	134064.fp	134064ff	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{10} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$15.75550360$	$1$		$0$	$6021120$	$2.824482$	$-669003004754/390963$	$1.03852$	$5.15882$	$[0, 0, 0, -13664091, -19450841942]$	\(y^2=x^3-13664091x-19450841942\)	24.2.0.b.1	$[(768947447/359, 15443442127602/359)]$
178752.h1	178752il1	178752.h	178752il	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{17} \cdot 3 \cdot 7^{4} \cdot 19^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.306363956$	$1$		$20$	$860160$	$1.648796$	$-669003004754/390963$	$1.03852$	$3.86953$	$[0, -1, 0, -123937, 16843681]$	\(y^2=x^3-x^2-123937x+16843681\)	24.2.0.b.1	$[(425, 6384), (159, 1064)]$
178752.ez1	178752fj1	178752.ez	178752fj	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{17} \cdot 3 \cdot 7^{10} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$6021120$	$2.621750$	$-669003004754/390963$	$1.03852$	$4.83495$	$[0, -1, 0, -6072929, 5765236737]$	\(y^2=x^3-x^2-6072929x+5765236737\)	24.2.0.b.1	$[ ]$
178752.fx1	178752k1	178752.fx	178752k	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{17} \cdot 3 \cdot 7^{4} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$7.053558950$	$1$		$0$	$860160$	$1.648796$	$-669003004754/390963$	$1.03852$	$3.86953$	$[0, 1, 0, -123937, -16843681]$	\(y^2=x^3+x^2-123937x-16843681\)	24.2.0.b.1	$[(146047/3, 55801936/3)]$
178752.kc1	178752hs1	178752.kc	178752hs	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{17} \cdot 3 \cdot 7^{10} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$30.43248642$	$1$		$0$	$6021120$	$2.621750$	$-669003004754/390963$	$1.03852$	$4.83495$	$[0, 1, 0, -6072929, -5765236737]$	\(y^2=x^3+x^2-6072929x-5765236737\)	24.2.0.b.1	$[(102478798009491/76409, 1026607567197738935856/76409)]$
424536.cc1	424536cc1	424536.cc	424536cc	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 3 \cdot 7^{4} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$37.78216724$	$1$		$0$	$19353600$	$2.774441$	$-669003004754/390963$	$1.03852$	$4.65361$	$[0, -1, 0, -11185344, -14402202324]$	\(y^2=x^3-x^2-11185344x-14402202324\)	24.2.0.b.1	$[(1262774039893829501/16387795, 845870731927920945427340824/16387795)]$
424536.cq1	424536cq1	424536.cq	424536cq	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 3 \cdot 7^{10} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$58.11225349$	$1$		$0$	$135475200$	$3.747398$	$-669003004754/390963$	$1.03852$	$5.55458$	$[0, 1, 0, -548081872, 4941051560864]$	\(y^2=x^3+x^2-548081872x+4941051560864\)	24.2.0.b.1	$[(971445772628677199421739447/266359645403, 1158748436690287045907772830228909292816/266359645403)]$

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