Elliptic curve search results

Results (18 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
8330.p1	8330t1	8330.p	8330t	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 5^{3} \cdot 7^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$0.288686445$	$1$		$6$	$4032$	$0.439233$	$341425679/578000$	$0.87863$	$3.11127$	$[1, 1, 1, 195, -1373]$	\(y^2+xy+y=x^3+x^2+195x-1373\)	20.2.0.a.1	$[(17, 76)]$
8330.v1	8330r1	8330.v	8330r	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$28224$	$1.412188$	$341425679/578000$	$0.87863$	$4.40458$	$[1, 0, 0, 9554, 499540]$	\(y^2+xy=x^3+9554x+499540\)	20.2.0.a.1	$[ ]$
41650.i1	41650j1	41650.i	41650j	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 5^{9} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$677376$	$2.216908$	$341425679/578000$	$0.87863$	$4.64597$	$[1, 1, 0, 238850, 62442500]$	\(y^2+xy=x^3+x^2+238850x+62442500\)	20.2.0.a.1	$[ ]$
41650.t1	41650d1	41650.t	41650d	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 5^{9} \cdot 7^{4} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$0.449642059$	$1$		$14$	$96768$	$1.243952$	$341425679/578000$	$0.87863$	$3.54835$	$[1, 0, 1, 4874, -181352]$	\(y^2+xy+y=x^3+4874x-181352\)	20.2.0.a.1	$[(137, 1681), (358/3, 6887/3)]$
66640.k1	66640bo1	66640.k	66640bo	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{16} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$677376$	$2.105335$	$341425679/578000$	$0.87863$	$4.32883$	$[0, -1, 0, 152864, -31970560]$	\(y^2=x^3-x^2+152864x-31970560\)	20.2.0.a.1	$[ ]$
66640.cf1	66640br1	66640.cf	66640br	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{16} \cdot 5^{3} \cdot 7^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$0.483425986$	$1$		$4$	$96768$	$1.132381$	$341425679/578000$	$0.87863$	$3.27766$	$[0, 1, 0, 3120, 94100]$	\(y^2=x^3+x^2+3120x+94100\)	20.2.0.a.1	$[(100, 1190)]$
74970.w1	74970l1	74970.w	74970l	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 7^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1.859757496$	$1$		$4$	$120960$	$0.988540$	$341425679/578000$	$0.87863$	$3.08949$	$[1, -1, 0, 1755, 38821]$	\(y^2+xy=x^3-x^2+1755x+38821\)	20.2.0.a.1	$[(-18, 43)]$
74970.br1	74970br1	74970.br	74970br	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$846720$	$1.961494$	$341425679/578000$	$0.87863$	$4.12964$	$[1, -1, 0, 85986, -13487580]$	\(y^2+xy=x^3-x^2+85986x-13487580\)	20.2.0.a.1	$[ ]$
141610.ce1	141610l1	141610.ce	141610l	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 5^{3} \cdot 7^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$8128512$	$2.828796$	$341425679/578000$	$0.87863$	$4.78568$	$[1, 1, 1, 2761100, 2451478917]$	\(y^2+xy+y=x^3+x^2+2761100x+2451478917\)	20.2.0.a.1	$[ ]$
141610.cn1	141610bb1	141610.cn	141610bb	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 5^{3} \cdot 7^{4} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$1161216$	$1.855841$	$341425679/578000$	$0.87863$	$3.80131$	$[1, 0, 0, 56349, -7139119]$	\(y^2+xy=x^3+56349x-7139119\)	20.2.0.a.1	$[ ]$
266560.bi1	266560bi1	266560.bi	266560bi	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{22} \cdot 5^{3} \cdot 7^{4} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1.079218409$	$1$		$12$	$774144$	$1.478954$	$341425679/578000$	$0.87863$	$3.24685$	$[0, -1, 0, 12479, 740321]$	\(y^2=x^3-x^2+12479x+740321\)	20.2.0.a.1	$[(5, 896), (133, 2176)]$
266560.co1	266560co1	266560.co	266560co	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{22} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$5419008$	$2.451908$	$341425679/578000$	$0.87863$	$4.18138$	$[0, -1, 0, 611455, 255153025]$	\(y^2=x^3-x^2+611455x+255153025\)	20.2.0.a.1	$[ ]$
266560.fm1	266560fm1	266560.fm	266560fm	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{22} \cdot 5^{3} \cdot 7^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$6.739281202$	$1$		$0$	$774144$	$1.478954$	$341425679/578000$	$0.87863$	$3.24685$	$[0, 1, 0, 12479, -740321]$	\(y^2=x^3+x^2+12479x-740321\)	20.2.0.a.1	$[(2493/7, 58276/7)]$
266560.ga1	266560ga1	266560.ga	266560ga	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{22} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$4.221177069$	$1$		$2$	$5419008$	$2.451908$	$341425679/578000$	$0.87863$	$4.18138$	$[0, 1, 0, 611455, -255153025]$	\(y^2=x^3+x^2+611455x-255153025\)	20.2.0.a.1	$[(479, 12160)]$
333200.cf1	333200cf1	333200.cf	333200cf	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{16} \cdot 5^{9} \cdot 7^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1.768559968$	$1$		$2$	$2322432$	$1.937099$	$341425679/578000$	$0.87863$	$3.62221$	$[0, -1, 0, 77992, 11606512]$	\(y^2=x^3-x^2+77992x+11606512\)	20.2.0.a.1	$[(77, 4250)]$
333200.fp1	333200fp1	333200.fp	333200fp	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{16} \cdot 5^{9} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$17.44841260$	$1$		$0$	$16257024$	$2.910053$	$341425679/578000$	$0.87863$	$4.54034$	$[0, 1, 0, 3821592, -3988676812]$	\(y^2=x^3+x^2+3821592x-3988676812\)	20.2.0.a.1	$[(1462885348/301, 56335969697650/301)]$
374850.mr1	374850mr1	374850.mr	374850mr	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{9} \cdot 7^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$0.902974037$	$1$		$4$	$2903040$	$1.793259$	$341425679/578000$	$0.87863$	$3.45447$	$[1, -1, 1, 43870, 4896497]$	\(y^2+xy+y=x^3-x^2+43870x+4896497\)	20.2.0.a.1	$[(79, 2935)]$
374850.nl1	374850nl1	374850.nl	374850nl	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{9} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$6.592080228$	$1$		$0$	$20321280$	$2.766212$	$341425679/578000$	$0.87863$	$4.36418$	$[1, -1, 1, 2149645, -1683797853]$	\(y^2+xy+y=x^3-x^2+2149645x-1683797853\)	20.2.0.a.1	$[(44571/7, 10817330/7)]$

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