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
10830.c1	10830b1	10830.c	10830b	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{22} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$15840$	$0.951037$	$-41081844659329/314572800$	$0.99577$	$4.00951$	$[1, 1, 0, -5118, -144012]$	\(y^2+xy=x^3+x^2-5118x-144012\)	6.2.0.a.1	$[]$
10830.bc1	10830z1	10830.bc	10830z	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{22} \cdot 3 \cdot 5^{2} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.234587547$	$1$		$4$	$300960$	$2.423256$	$-41081844659329/314572800$	$0.99577$	$5.91117$	$[1, 0, 0, -1847786, 972996516]$	\(y^2+xy=x^3-1847786x+972996516\)	6.2.0.a.1	$[(2196, 85542)]$
32490.r1	32490o1	32490.r	32490o	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{22} \cdot 3^{7} \cdot 5^{2} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$4.268097760$	$1$		$0$	$2407680$	$2.972565$	$-41081844659329/314572800$	$0.99577$	$5.92057$	$[1, -1, 0, -16630074, -26270905932]$	\(y^2+xy=x^3-x^2-16630074x-26270905932\)	6.2.0.a.1	$[(345028/3, 200949338/3)]$
32490.bs1	32490bx1	32490.bs	32490bx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{22} \cdot 3^{7} \cdot 5^{2} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.083432465$	$1$		$12$	$126720$	$1.500343$	$-41081844659329/314572800$	$0.99577$	$4.22000$	$[1, -1, 1, -46067, 3842259]$	\(y^2+xy+y=x^3-x^2-46067x+3842259\)	6.2.0.a.1	$[(107, 306)]$
54150.i1	54150a1	54150.i	54150a	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{22} \cdot 3 \cdot 5^{8} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$3.215398276$	$1$		$0$	$7223040$	$3.227978$	$-41081844659329/314572800$	$0.99577$	$5.92429$	$[1, 1, 0, -46194650, 121624564500]$	\(y^2+xy=x^3+x^2-46194650x+121624564500\)	6.2.0.a.1	$[(18180/7, 110835570/7)]$
54150.co1	54150cl1	54150.co	54150cl	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{22} \cdot 3 \cdot 5^{8} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$380160$	$1.755756$	$-41081844659329/314572800$	$0.99577$	$4.30342$	$[1, 0, 0, -127963, -17745583]$	\(y^2+xy=x^3-127963x-17745583\)	6.2.0.a.1	$[]$
86640.l1	86640bk1	86640.l	86640bk	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{34} \cdot 3 \cdot 5^{2} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$4$	$2$	$0$	$7223040$	$3.116405$	$-41081844659329/314572800$	$0.99577$	$5.56163$	$[0, -1, 0, -29564576, -62271777024]$	\(y^2=x^3-x^2-29564576x-62271777024\)	6.2.0.a.1	$[]$
86640.cq1	86640df1	86640.cq	86640df	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{34} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$380160$	$1.644184$	$-41081844659329/314572800$	$0.99577$	$4.00777$	$[0, 1, 0, -81896, 9052980]$	\(y^2=x^3+x^2-81896x+9052980\)	6.2.0.a.1	$[]$
162450.bl1	162450dv1	162450.bl	162450dv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{22} \cdot 3^{7} \cdot 5^{8} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$2.011246559$	$1$		$4$	$3041280$	$2.305061$	$-41081844659329/314572800$	$0.99577$	$4.45877$	$[1, -1, 0, -1151667, 479130741]$	\(y^2+xy=x^3-x^2-1151667x+479130741\)	6.2.0.a.1	$[(-986, 26093)]$
162450.ec1	162450bg1	162450.ec	162450bg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{22} \cdot 3^{7} \cdot 5^{8} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.495085597$	$1$		$2$	$57784320$	$3.777283$	$-41081844659329/314572800$	$0.99577$	$5.93122$	$[1, -1, 1, -415751855, -3284278993353]$	\(y^2+xy+y=x^3-x^2-415751855x-3284278993353\)	6.2.0.a.1	$[(140339, 51913830)]$
259920.fn1	259920fn1	259920.fn	259920fn	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{34} \cdot 3^{7} \cdot 5^{2} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$57784320$	$3.665710$	$-41081844659329/314572800$	$0.99577$	$5.60025$	$[0, 0, 0, -266081187, 1681604060834]$	\(y^2=x^3-266081187x+1681604060834\)	6.2.0.a.1	$[]$
259920.fo1	259920fo1	259920.fo	259920fo	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{34} \cdot 3^{7} \cdot 5^{2} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$7.027010867$	$1$		$0$	$3041280$	$2.193493$	$-41081844659329/314572800$	$0.99577$	$4.18331$	$[0, 0, 0, -737067, -245167526]$	\(y^2=x^3-737067x-245167526\)	6.2.0.a.1	$[(587525/7, 449150976/7)]$
346560.ec1	346560ec1	346560.ec	346560ec	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{40} \cdot 3 \cdot 5^{2} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$9$	$3$	$0$	$57784320$	$3.462978$	$-41081844659329/314572800$	$0.99577$	$5.28323$	$[0, -1, 0, -118258305, 498292474497]$	\(y^2=x^3-x^2-118258305x+498292474497\)	6.2.0.a.1	$[]$
346560.el1	346560el1	346560.el	346560el	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{40} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$3041280$	$1.990759$	$-41081844659329/314572800$	$0.99577$	$3.89824$	$[0, -1, 0, -327585, 72751425]$	\(y^2=x^3-x^2-327585x+72751425\)	6.2.0.a.1	$[]$
346560.js1	346560js1	346560.js	346560js	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{40} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$3041280$	$1.990759$	$-41081844659329/314572800$	$0.99577$	$3.89824$	$[0, 1, 0, -327585, -72751425]$	\(y^2=x^3+x^2-327585x-72751425\)	6.2.0.a.1	$[]$
346560.kb1	346560kb1	346560.kb	346560kb	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{40} \cdot 3 \cdot 5^{2} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$25$	$5$	$0$	$57784320$	$3.462978$	$-41081844659329/314572800$	$0.99577$	$5.28323$	$[0, 1, 0, -118258305, -498292474497]$	\(y^2=x^3+x^2-118258305x-498292474497\)	6.2.0.a.1	$[]$
433200.ci1	433200ci1	433200.ci	433200ci	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{34} \cdot 3 \cdot 5^{8} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.910726743$	$1$		$2$	$9123840$	$2.448902$	$-41081844659329/314572800$	$0.99577$	$4.25481$	$[0, -1, 0, -2047408, 1135717312]$	\(y^2=x^3-x^2-2047408x+1135717312\)	6.2.0.a.1	$[(1416, 32768)]$
433200.hr1	433200hr1	433200.hr	433200hr	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{34} \cdot 3 \cdot 5^{8} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$70.99657799$	$1$		$0$	$173352960$	$3.921124$	$-41081844659329/314572800$	$0.99577$	$5.61599$	$[0, 1, 0, -739114408, -7785450356812]$	\(y^2=x^3+x^2-739114408x-7785450356812\)	6.2.0.a.1	$[(4486313308576486718203299299845822/327052225025573, 206961259604576577176367261598841585531425880064000/327052225025573)]$