Elliptic curve search results

Results (31 matches)

 

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
645.b1	645f1	645.b	645f	$1$	$1$	\( 3 \cdot 5 \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$86$	$2$	$0$	$0.053978584$	$1$		$12$	$192$	$-0.187555$	$99897344/783675$	$0.89128$	$3.23837$	$[0, 1, 1, 10, 44]$	\(y^2+y=x^3+x^2+10x+44\)	86.2.0.?	$[(1, 7)]$
1935.j1	1935h1	1935.j	1935h	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43 \)	\( - 3^{12} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$1536$	$0.361751$	$99897344/783675$	$0.89128$	$3.63927$	$[0, 0, 1, 87, -1107]$	\(y^2+y=x^3+87x-1107\)	86.2.0.?	$[]$
3225.i1	3225d1	3225.i	3225d	$1$	$1$	\( 3 \cdot 5^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$4608$	$0.617164$	$99897344/783675$	$0.89128$	$3.78854$	$[0, -1, 1, 242, 5043]$	\(y^2+y=x^3-x^2+242x+5043\)	86.2.0.?	$[]$
9675.d1	9675s1	9675.d	9675s	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.704069134$	$1$		$4$	$36864$	$1.166470$	$99897344/783675$	$0.89128$	$4.05328$	$[0, 0, 1, 2175, -138344]$	\(y^2+y=x^3+2175x-138344\)	86.2.0.?	$[(40, 112)]$
10320.s1	10320ba1	10320.s	10320ba	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$7680$	$0.505592$	$99897344/783675$	$0.89128$	$3.16686$	$[0, -1, 0, 155, -2675]$	\(y^2=x^3-x^2+155x-2675\)	86.2.0.?	$[]$
27735.l1	27735c1	27735.l	27735c	$1$	$1$	\( 3 \cdot 5 \cdot 43^{2} \)	\( - 3^{6} \cdot 5^{2} \cdot 43^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$354816$	$1.693045$	$99897344/783675$	$0.89128$	$4.25368$	$[0, -1, 1, 17874, -3265009]$	\(y^2+y=x^3-x^2+17874x-3265009\)	86.2.0.?	$[]$
30960.x1	30960bp1	30960.x	30960bp	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$61440$	$1.054899$	$99897344/783675$	$0.89128$	$3.46786$	$[0, 0, 0, 1392, 70832]$	\(y^2=x^3+1392x+70832\)	86.2.0.?	$[]$
31605.a1	31605c1	31605.a	31605c	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 43 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$0.830359079$	$1$		$18$	$55296$	$0.785400$	$99897344/783675$	$0.89128$	$3.14883$	$[0, -1, 1, 474, -14218]$	\(y^2+y=x^3-x^2+474x-14218\)	86.2.0.?	$[(75, 661), (26, 122)]$
41280.c1	41280m1	41280.c	41280m	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 43 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.123074478$	$1$		$8$	$15360$	$0.159019$	$99897344/783675$	$0.89128$	$2.36248$	$[0, -1, 0, 39, 315]$	\(y^2=x^3-x^2+39x+315\)	86.2.0.?	$[(6, 27), (-3/2, 135/2)]$
41280.co1	41280cx1	41280.co	41280cx	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$0.584512347$	$1$		$2$	$15360$	$0.159019$	$99897344/783675$	$0.89128$	$2.36248$	$[0, 1, 0, 39, -315]$	\(y^2=x^3+x^2+39x-315\)	86.2.0.?	$[(12, 45)]$
51600.cc1	51600cz1	51600.cc	51600cz	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{12} \cdot 3^{6} \cdot 5^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.624996912$	$1$		$2$	$184320$	$1.310310$	$99897344/783675$	$0.89128$	$3.58706$	$[0, 1, 0, 3867, -326637]$	\(y^2=x^3+x^2+3867x-326637\)	86.2.0.?	$[(78, 675)]$
78045.o1	78045o1	78045.o	78045o	$1$	$1$	\( 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 11^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$3.931820412$	$1$		$0$	$259200$	$1.011393$	$99897344/783675$	$0.89128$	$3.13689$	$[0, 1, 1, 1170, -54169]$	\(y^2+y=x^3+x^2+1170x-54169\)	86.2.0.?	$[(165/2, 2051/2)]$
83205.b1	83205w1	83205.b	83205w	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43^{2} \)	\( - 3^{12} \cdot 5^{2} \cdot 43^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$2838528$	$2.242352$	$99897344/783675$	$0.89128$	$4.42302$	$[0, 0, 1, 160863, 87994372]$	\(y^2+y=x^3+160863x+87994372\)	86.2.0.?	$[]$
94815.bo1	94815bk1	94815.bo	94815bk	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$442368$	$1.334705$	$99897344/783675$	$0.89128$	$3.42217$	$[0, 0, 1, 4263, 379615]$	\(y^2+y=x^3+4263x+379615\)	86.2.0.?	$[]$
109005.q1	109005l1	109005.q	109005l	$1$	$1$	\( 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 13^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$393984$	$1.094919$	$99897344/783675$	$0.89128$	$3.13295$	$[0, 1, 1, 1634, 90601]$	\(y^2+y=x^3+x^2+1634x+90601\)	86.2.0.?	$[]$
123840.dt1	123840dk1	123840.dt	123840dk	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$122880$	$0.708324$	$99897344/783675$	$0.89128$	$2.70326$	$[0, 0, 0, 348, -8854]$	\(y^2=x^3+348x-8854\)	86.2.0.?	$[]$
123840.gk1	123840gb1	123840.gk	123840gb	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$122880$	$0.708324$	$99897344/783675$	$0.89128$	$2.70326$	$[0, 0, 0, 348, 8854]$	\(y^2=x^3+348x+8854\)	86.2.0.?	$[]$
138675.b1	138675b1	138675.b	138675b	$1$	$1$	\( 3 \cdot 5^{2} \cdot 43^{2} \)	\( - 3^{6} \cdot 5^{8} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.397731614$	$1$		$4$	$8515584$	$2.497765$	$99897344/783675$	$0.89128$	$4.49106$	$[0, 1, 1, 446842, -407232406]$	\(y^2+y=x^3+x^2+446842x-407232406\)	86.2.0.?	$[(1648, 69337)]$
154800.i1	154800bk1	154800.i	154800bk	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{12} \cdot 3^{12} \cdot 5^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$3.144672919$	$1$		$2$	$1474560$	$1.859617$	$99897344/783675$	$0.89128$	$3.80890$	$[0, 0, 0, 34800, 8854000]$	\(y^2=x^3+34800x+8854000\)	86.2.0.?	$[(65, 3375)]$
158025.bx1	158025bv1	158025.bx	158025bv	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$1327104$	$1.590118$	$99897344/783675$	$0.89128$	$3.53217$	$[0, 1, 1, 11842, -1753531]$	\(y^2+y=x^3+x^2+11842x-1753531\)	86.2.0.?	$[]$
186405.a1	186405b1	186405.a	186405b	$1$	$1$	\( 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 17^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$2.105759483$	$1$		$2$	$844800$	$1.229052$	$99897344/783675$	$0.89128$	$3.12707$	$[0, -1, 1, 2794, 200456]$	\(y^2+y=x^3-x^2+2794x+200456\)	86.2.0.?	$[(8, 472)]$
206400.c1	206400dq1	206400.c	206400dq	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$2.343070645$	$1$		$2$	$368640$	$0.963737$	$99897344/783675$	$0.89128$	$2.84087$	$[0, -1, 0, 967, -41313]$	\(y^2=x^3-x^2+967x-41313\)	86.2.0.?	$[(26, 27)]$
206400.kq1	206400hz1	206400.kq	206400hz	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$368640$	$0.963737$	$99897344/783675$	$0.89128$	$2.84087$	$[0, 1, 0, 967, 41313]$	\(y^2=x^3+x^2+967x+41313\)	86.2.0.?	$[]$
232845.l1	232845l1	232845.l	232845l	$1$	$1$	\( 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 19^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.912060635$	$1$		$0$	$1382400$	$1.284664$	$99897344/783675$	$0.89128$	$3.12478$	$[0, -1, 1, 3490, -282319]$	\(y^2+y=x^3-x^2+3490x-282319\)	86.2.0.?	$[(1325/2, 48731/2)]$
234135.d1	234135d1	234135.d	234135d	$1$	$1$	\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{2} \cdot 11^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$2073600$	$1.560699$	$99897344/783675$	$0.89128$	$3.39130$	$[0, 0, 1, 10527, 1473084]$	\(y^2+y=x^3+10527x+1473084\)	86.2.0.?	$[]$
327015.c1	327015c1	327015.c	327015c	$1$	$1$	\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{2} \cdot 13^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$6.318374004$	$1$		$0$	$3151872$	$1.644226$	$99897344/783675$	$0.89128$	$3.38101$	$[0, 0, 1, 14703, -2431530]$	\(y^2+y=x^3+14703x-2431530\)	86.2.0.?	$[(3377/2, 197861/2)]$
341205.d1	341205d1	341205.d	341205d	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 23^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$2090880$	$1.380192$	$99897344/783675$	$0.89128$	$3.12104$	$[0, 1, 1, 5114, -497030]$	\(y^2+y=x^3+x^2+5114x-497030\)	86.2.0.?	$[]$
390225.c1	390225c1	390225.c	390225c	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{8} \cdot 11^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$6220800$	$1.816113$	$99897344/783675$	$0.89128$	$3.49481$	$[0, -1, 1, 29242, -6829582]$	\(y^2+y=x^3-x^2+29242x-6829582\)	86.2.0.?	$[]$
416025.by1	416025by1	416025.by	416025by	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 43^{2} \)	\( - 3^{12} \cdot 5^{8} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$12.21499280$	$1$		$0$	$68124672$	$3.047070$	$99897344/783675$	$0.89128$	$4.61919$	$[0, 0, 1, 4021575, 10999296531]$	\(y^2+y=x^3+4021575x+10999296531\)	86.2.0.?	$[(88598705/146, 981784577957/146)]$
443760.bq1	443760bq1	443760.bq	443760bq	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 43^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$14192640$	$2.386192$	$99897344/783675$	$0.89128$	$3.98636$	$[0, 1, 0, 285979, 208674579]$	\(y^2=x^3+x^2+285979x+208674579\)	86.2.0.?	$[]$
474075.l1	474075l1	474075.l	474075l	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{8} \cdot 7^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$10616832$	$2.139423$	$99897344/783675$	$0.89128$	$3.73962$	$[0, 0, 1, 106575, 47451906]$	\(y^2+y=x^3+106575x+47451906\)	86.2.0.?	$[]$