Elliptic curve search results

Results (12 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
10626.n1	10626n1	10626.n	10626n	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{2} \cdot 3^{3} \cdot 7^{7} \cdot 11^{3} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$21252$	$2$	$0$	$1$	$1$		$0$	$34272$	$1.067875$	$-224412099736609/2722801160772$	$0.98341$	$3.89750$	$[1, 1, 1, -1266, -81789]$	\(y^2+xy+y=x^3+x^2-1266x-81789\)	21252.2.0.?	$[]$
31878.a1	31878p1	31878.a	31878p	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{2} \cdot 3^{9} \cdot 7^{7} \cdot 11^{3} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$0.080212807$	$1$		$38$	$274176$	$1.617180$	$-224412099736609/2722801160772$	$0.98341$	$4.12025$	$[1, -1, 0, -11394, 2196904]$	\(y^2+xy=x^3-x^2-11394x+2196904\)	21252.2.0.?	$[(50, 1298), (-139, 1109)]$
74382.bk1	74382br1	74382.bk	74382br	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 2^{2} \cdot 3^{3} \cdot 7^{13} \cdot 11^{3} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$1.330308446$	$1$		$2$	$1645056$	$2.040829$	$-224412099736609/2722801160772$	$0.98341$	$4.26224$	$[1, 0, 0, -62035, 27867461]$	\(y^2+xy=x^3-62035x+27867461\)	21252.2.0.?	$[(2174, 99755)]$
85008.cl1	85008cb1	85008.cl	85008cb	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{14} \cdot 3^{3} \cdot 7^{7} \cdot 11^{3} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$1$	$1$		$0$	$822528$	$1.761023$	$-224412099736609/2722801160772$	$0.98341$	$3.91628$	$[0, 1, 0, -20256, 5193972]$	\(y^2=x^3+x^2-20256x+5193972\)	21252.2.0.?	$[]$
116886.h1	116886d1	116886.h	116886d	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 2^{2} \cdot 3^{3} \cdot 7^{7} \cdot 11^{9} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$6.420215112$	$1$		$2$	$4112640$	$2.266823$	$-224412099736609/2722801160772$	$0.98341$	$4.32955$	$[1, 1, 0, -153188, 108094980]$	\(y^2+xy=x^3+x^2-153188x+108094980\)	21252.2.0.?	$[(510, 12510)]$
223146.cn1	223146eg1	223146.cn	223146eg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 2^{2} \cdot 3^{9} \cdot 7^{13} \cdot 11^{3} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$1$	$1$		$0$	$13160448$	$2.590137$	$-224412099736609/2722801160772$	$0.98341$	$4.41726$	$[1, -1, 0, -558315, -752421447]$	\(y^2+xy=x^3-x^2-558315x-752421447\)	21252.2.0.?	$[]$
244398.u1	244398u1	244398.u	244398u	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 7^{7} \cdot 11^{3} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$1$	$1$		$0$	$18095616$	$2.635620$	$-224412099736609/2722801160772$	$0.98341$	$4.42887$	$[1, 1, 1, -669725, 988427351]$	\(y^2+xy+y=x^3+x^2-669725x+988427351\)	21252.2.0.?	$[]$
255024.a1	255024a1	255024.a	255024a	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{14} \cdot 3^{9} \cdot 7^{7} \cdot 11^{3} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$1$	$1$		$0$	$6580224$	$2.310329$	$-224412099736609/2722801160772$	$0.98341$	$4.10017$	$[0, 0, 0, -182307, -140419550]$	\(y^2=x^3-182307x-140419550\)	21252.2.0.?	$[]$
265650.cd1	265650cd1	265650.cd	265650cd	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 7^{7} \cdot 11^{3} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$1$	$1$		$0$	$2741760$	$1.872593$	$-224412099736609/2722801160772$	$0.98341$	$3.66620$	$[1, 0, 1, -31651, -10160302]$	\(y^2+xy+y=x^3-31651x-10160302\)	21252.2.0.?	$[]$
340032.a1	340032a1	340032.a	340032a	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{20} \cdot 3^{3} \cdot 7^{7} \cdot 11^{3} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$1$	$1$		$0$	$6580224$	$2.107594$	$-224412099736609/2722801160772$	$0.98341$	$3.81655$	$[0, -1, 0, -81025, 41632801]$	\(y^2=x^3-x^2-81025x+41632801\)	21252.2.0.?	$[]$
340032.dl1	340032dl1	340032.dl	340032dl	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{20} \cdot 3^{3} \cdot 7^{7} \cdot 11^{3} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$0.269743967$	$1$		$6$	$6580224$	$2.107594$	$-224412099736609/2722801160772$	$0.98341$	$3.81655$	$[0, 1, 0, -81025, -41632801]$	\(y^2=x^3+x^2-81025x-41632801\)	21252.2.0.?	$[(2219, 103488)]$
350658.ci1	350658ci1	350658.ci	350658ci	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 2^{2} \cdot 3^{9} \cdot 7^{7} \cdot 11^{9} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$1$	$1$		$0$	$32901120$	$2.816128$	$-224412099736609/2722801160772$	$0.98341$	$4.47329$	$[1, -1, 1, -1378697, -2919943155]$	\(y^2+xy+y=x^3-x^2-1378697x-2919943155\)	21252.2.0.?	$[]$