Elliptic curve search results

Results (18 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
11970.u1	11970h1	11970.u	11970h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{7} \cdot 3^{9} \cdot 5^{5} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$0.961380583$	$1$		$4$	$423360$	$2.596584$	$-243602310198023065827/2502840869200000$	$1.05528$	$6.05391$	$[1, -1, 0, -3513039, -2555905555]$	\(y^2+xy=x^3-x^2-3513039x-2555905555\)	15960.2.0.?	$[(2221, 23257)]$
11970.be1	11970be1	11970.be	11970be	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{7} \cdot 3^{3} \cdot 5^{5} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$0.177705892$	$1$		$8$	$141120$	$2.047276$	$-243602310198023065827/2502840869200000$	$1.05528$	$5.35193$	$[1, -1, 1, -390338, 94793281]$	\(y^2+xy+y=x^3-x^2-390338x+94793281\)	15960.2.0.?	$[(343, 911)]$
59850.cg1	59850t1	59850.cg	59850t	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{7} \cdot 3^{3} \cdot 5^{11} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$0.541625158$	$1$		$4$	$3386880$	$2.851997$	$-243602310198023065827/2502840869200000$	$1.05528$	$5.44676$	$[1, -1, 0, -9758442, 11839401716]$	\(y^2+xy=x^3-x^2-9758442x+11839401716\)	15960.2.0.?	$[(1999, 16813)]$
59850.gl1	59850eh1	59850.gl	59850eh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{7} \cdot 3^{9} \cdot 5^{11} \cdot 7 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$10160640$	$3.401302$	$-243602310198023065827/2502840869200000$	$1.05528$	$6.04602$	$[1, -1, 1, -87825980, -319576020353]$	\(y^2+xy+y=x^3-x^2-87825980x-319576020353\)	15960.2.0.?	$[]$
83790.w1	83790e1	83790.w	83790e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{7} \cdot 3^{9} \cdot 5^{5} \cdot 7^{7} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$20321280$	$3.569538$	$-243602310198023065827/2502840869200000$	$1.05528$	$6.04466$	$[1, -1, 0, -172138920, 877019883200]$	\(y^2+xy=x^3-x^2-172138920x+877019883200\)	15960.2.0.?	$[]$
83790.er1	83790df1	83790.er	83790df	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{7} \cdot 3^{3} \cdot 5^{5} \cdot 7^{7} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$6773760$	$3.020233$	$-243602310198023065827/2502840869200000$	$1.05528$	$5.46318$	$[1, -1, 1, -19126547, -32475842381]$	\(y^2+xy+y=x^3-x^2-19126547x-32475842381\)	15960.2.0.?	$[]$
95760.cl1	95760cd1	95760.cl	95760cd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{19} \cdot 3^{3} \cdot 5^{5} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$16.23288376$	$1$		$0$	$3386880$	$2.740425$	$-243602310198023065827/2502840869200000$	$1.05528$	$5.10683$	$[0, 0, 0, -6245403, -6060524598]$	\(y^2=x^3-6245403x-6060524598\)	15960.2.0.?	$[(201816021/203, 2378100780096/203)]$
95760.en1	95760cv1	95760.en	95760cv	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{19} \cdot 3^{9} \cdot 5^{5} \cdot 7 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$10160640$	$3.289730$	$-243602310198023065827/2502840869200000$	$1.05528$	$5.68154$	$[0, 0, 0, -56208627, 163634164146]$	\(y^2=x^3-56208627x+163634164146\)	15960.2.0.?	$[]$
227430.e1	227430gd1	227430.e	227430gd	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{7} \cdot 3^{3} \cdot 5^{5} \cdot 7 \cdot 19^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$9$	$3$	$0$	$50803200$	$3.519497$	$-243602310198023065827/2502840869200000$	$1.05528$	$5.50664$	$[1, -1, 0, -140911905, -649482556675]$	\(y^2+xy=x^3-x^2-140911905x-649482556675\)	15960.2.0.?	$[]$
227430.fh1	227430cr1	227430.fh	227430cr	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{7} \cdot 3^{9} \cdot 5^{5} \cdot 7 \cdot 19^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$152409600$	$4.068802$	$-243602310198023065827/2502840869200000$	$1.05528$	$6.04104$	$[1, -1, 1, -1268207147, 17537297237371]$	\(y^2+xy+y=x^3-x^2-1268207147x+17537297237371\)	15960.2.0.?	$[]$
383040.w1	383040w1	383040.w	383040w	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{25} \cdot 3^{9} \cdot 5^{5} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$42.30544218$	$1$		$0$	$81285120$	$3.636303$	$-243602310198023065827/2502840869200000$	$1.05528$	$5.39238$	$[0, 0, 0, -224834508, -1309073313168]$	\(y^2=x^3-224834508x-1309073313168\)	15960.2.0.?	$[(60683451738902915134/18088379, 471125485350578378607138373888/18088379)]$
383040.gr1	383040gr1	383040.gr	383040gr	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{25} \cdot 3^{9} \cdot 5^{5} \cdot 7 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$81285120$	$3.636303$	$-243602310198023065827/2502840869200000$	$1.05528$	$5.39238$	$[0, 0, 0, -224834508, 1309073313168]$	\(y^2=x^3-224834508x+1309073313168\)	15960.2.0.?	$[]$
383040.ka1	383040ka1	383040.ka	383040ka	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{25} \cdot 3^{3} \cdot 5^{5} \cdot 7 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$27095040$	$3.086998$	$-243602310198023065827/2502840869200000$	$1.05528$	$4.87964$	$[0, 0, 0, -24981612, 48484196784]$	\(y^2=x^3-24981612x+48484196784\)	15960.2.0.?	$[]$
383040.mg1	383040mg1	383040.mg	383040mg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{25} \cdot 3^{3} \cdot 5^{5} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1.664065299$	$1$		$2$	$27095040$	$3.086998$	$-243602310198023065827/2502840869200000$	$1.05528$	$4.87964$	$[0, 0, 0, -24981612, -48484196784]$	\(y^2=x^3-24981612x-48484196784\)	15960.2.0.?	$[(16752, 2057700)]$
418950.bx1	418950bx1	418950.bx	418950bx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{7} \cdot 3^{3} \cdot 5^{11} \cdot 7^{7} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$162570240$	$3.824951$	$-243602310198023065827/2502840869200000$	$1.05528$	$5.52992$	$[1, -1, 0, -478163667, -4059958461259]$	\(y^2+xy=x^3-x^2-478163667x-4059958461259\)	15960.2.0.?	$[]$
418950.pf1	418950pf1	418950.pf	418950pf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{7} \cdot 3^{9} \cdot 5^{11} \cdot 7^{7} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$2.075859347$	$1$		$2$	$487710720$	$4.374260$	$-243602310198023065827/2502840869200000$	$1.05528$	$6.03910$	$[1, -1, 1, -4303473005, 109623181926997]$	\(y^2+xy+y=x^3-x^2-4303473005x+109623181926997\)	15960.2.0.?	$[(2599, 9921200)]$
478800.bu1	478800bu1	478800.bu	478800bu	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{19} \cdot 3^{9} \cdot 5^{11} \cdot 7 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$243855360$	$4.094452$	$-243602310198023065827/2502840869200000$	$1.05528$	$5.72072$	$[0, 0, 0, -1405215675, 20454270518250]$	\(y^2=x^3-1405215675x+20454270518250\)	15960.2.0.?	$[]$
478800.fy1	478800fy1	478800.fy	478800fy	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{19} \cdot 3^{3} \cdot 5^{11} \cdot 7 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$9$	$3$	$0$	$81285120$	$3.545143$	$-243602310198023065827/2502840869200000$	$1.05528$	$5.21674$	$[0, 0, 0, -156135075, -757565574750]$	\(y^2=x^3-156135075x-757565574750\)	15960.2.0.?	$[]$