Elliptic curve search results

Results (14 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
19110.c1	19110b1	19110.c	19110b	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2 \cdot 3^{5} \cdot 5^{7} \cdot 7^{8} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$6.592378303$	$1$		$0$	$940800$	$2.501213$	$-662989657192009/14097531093750$	$1.00640$	$5.40942$	$[1, 1, 0, -325728, 439459182]$	\(y^2+xy=x^3+x^2-325728x+439459182\)	1560.2.0.?	$[(7871/2, 681363/2)]$
19110.bk1	19110bk1	19110.bk	19110bk	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2 \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$0.130218244$	$1$		$8$	$134400$	$1.528257$	$-662989657192009/14097531093750$	$1.00640$	$4.22505$	$[1, 0, 1, -6648, -1282172]$	\(y^2+xy+y=x^3-6648x-1282172\)	1560.2.0.?	$[(134, 420)]$
57330.dj1	57330en1	57330.dj	57330en	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2 \cdot 3^{11} \cdot 5^{7} \cdot 7^{2} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$3.470764925$	$1$		$0$	$1075200$	$2.077564$	$-662989657192009/14097531093750$	$1.00640$	$4.40302$	$[1, -1, 1, -59828, 34618637]$	\(y^2+xy+y=x^3-x^2-59828x+34618637\)	1560.2.0.?	$[(-165/2, 48833/2)]$
57330.eh1	57330eq1	57330.eh	57330eq	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2 \cdot 3^{11} \cdot 5^{7} \cdot 7^{8} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$7526400$	$3.050518$	$-662989657192009/14097531093750$	$1.00640$	$5.46864$	$[1, -1, 1, -2931557, -11868329469]$	\(y^2+xy+y=x^3-x^2-2931557x-11868329469\)	1560.2.0.?	$[]$
95550.ii1	95550gv1	95550.ii	95550gv	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2 \cdot 3^{5} \cdot 5^{13} \cdot 7^{2} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$51.76813473$	$1$		$0$	$3225600$	$2.332977$	$-662989657192009/14097531093750$	$1.00640$	$4.47416$	$[1, 1, 1, -166188, -160271469]$	\(y^2+xy+y=x^3+x^2-166188x-160271469\)	1560.2.0.?	$[(98128067674511260109115/11706665606, 14515288364867483919916679677531047/11706665606)]$
95550.lb1	95550jd1	95550.lb	95550jd	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2 \cdot 3^{5} \cdot 5^{13} \cdot 7^{8} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$22579200$	$3.305931$	$-662989657192009/14097531093750$	$1.00640$	$5.49231$	$[1, 0, 0, -8143213, 54948684167]$	\(y^2+xy=x^3-8143213x+54948684167\)	1560.2.0.?	$[]$
152880.cu1	152880cu1	152880.cu	152880cu	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$0.448011351$	$1$		$6$	$3225600$	$2.221405$	$-662989657192009/14097531093750$	$1.00640$	$4.18585$	$[0, -1, 0, -106360, 82058992]$	\(y^2=x^3-x^2-106360x+82058992\)	1560.2.0.?	$[(114, 8450)]$
152880.eq1	152880cl1	152880.eq	152880cl	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{5} \cdot 5^{7} \cdot 7^{8} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$18.29346506$	$1$		$0$	$22579200$	$3.194359$	$-662989657192009/14097531093750$	$1.00640$	$5.16390$	$[0, 1, 0, -5211656, -28135810956]$	\(y^2=x^3+x^2-5211656x-28135810956\)	1560.2.0.?	$[(488711332/281, 9327938980842/281)]$
248430.hb1	248430hb1	248430.hb	248430hb	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2 \cdot 3^{5} \cdot 5^{7} \cdot 7^{8} \cdot 13^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$14.64470123$	$1$		$0$	$158054400$	$3.783688$	$-662989657192009/14097531093750$	$1.00640$	$5.53136$	$[1, 1, 1, -55048120, 965767063295]$	\(y^2+xy+y=x^3+x^2-55048120x+965767063295\)	1560.2.0.?	$[(-13249397/86, 655007889183/86)]$
248430.ia1	248430ia1	248430.ia	248430ia	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2 \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \cdot 13^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$22579200$	$2.810730$	$-662989657192009/14097531093750$	$1.00640$	$4.59152$	$[1, 0, 0, -1123431, -2815807905]$	\(y^2+xy=x^3-1123431x-2815807905\)	1560.2.0.?	$[]$
286650.v1	286650v1	286650.v	286650v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2 \cdot 3^{11} \cdot 5^{13} \cdot 7^{2} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1.295175149$	$1$		$4$	$25804800$	$2.882282$	$-662989657192009/14097531093750$	$1.00640$	$4.60756$	$[1, -1, 0, -1495692, 4325833966]$	\(y^2+xy=x^3-x^2-1495692x+4325833966\)	1560.2.0.?	$[(2489, 125318)]$
286650.bl1	286650bl1	286650.bl	286650bl	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2 \cdot 3^{11} \cdot 5^{13} \cdot 7^{8} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$12.14508322$	$1$		$0$	$180633600$	$3.855236$	$-662989657192009/14097531093750$	$1.00640$	$5.53669$	$[1, -1, 0, -73288917, -1483614472509]$	\(y^2+xy=x^3-x^2-73288917x-1483614472509\)	1560.2.0.?	$[(38023791/53, 8999047551/53)]$
458640.gm1	458640gm1	458640.gm	458640gm	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{11} \cdot 5^{7} \cdot 7^{2} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1.832291899$	$1$		$2$	$25804800$	$2.770710$	$-662989657192009/14097531093750$	$1.00640$	$4.33874$	$[0, 0, 0, -957243, -2214635542]$	\(y^2=x^3-957243x-2214635542\)	1560.2.0.?	$[(6757, 547560)]$
458640.nb1	458640nb1	458640.nb	458640nb	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{11} \cdot 5^{7} \cdot 7^{8} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$180633600$	$3.743664$	$-662989657192009/14097531093750$	$1.00640$	$5.23437$	$[0, 0, 0, -46904907, 759619990906]$	\(y^2=x^3-46904907x+759619990906\)	1560.2.0.?	$[]$