Elliptic curve search results

Results (32 matches)

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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
37800.c1	37800c1	37800.c	37800c	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$2.990434353$	$1$		$2$	$13824$	$0.354241$	$593190/343$	$1.17596$	$2.60270$	$[0, 0, 0, -195, 30]$	\(y^2=x^3-195x+30\)	168.2.0.?	$[(-14, 4)]$
37800.v1	37800bh1	37800.v	37800bh	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$41472$	$0.903547$	$593190/343$	$1.17596$	$3.22809$	$[0, 0, 0, -1755, -810]$	\(y^2=x^3-1755x-810\)	168.2.0.?	$[ ]$
37800.bh1	37800ch1	37800.bh	37800ch	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1.073955057$	$1$		$2$	$69120$	$1.158960$	$593190/343$	$1.17596$	$3.51888$	$[0, 0, 0, -4875, 3750]$	\(y^2=x^3-4875x+3750\)	168.2.0.?	$[(-50, 350)]$
37800.cd1	37800bd1	37800.cd	37800bd	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{8} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$207360$	$1.708265$	$593190/343$	$1.17596$	$4.14427$	$[0, 0, 0, -43875, -101250]$	\(y^2=x^3-43875x-101250\)	168.2.0.?	$[ ]$
75600.u1	75600bb1	75600.u	75600bb	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{8} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$414720$	$1.708265$	$593190/343$	$1.17596$	$3.88855$	$[0, 0, 0, -43875, 101250]$	\(y^2=x^3-43875x+101250\)	168.2.0.?	$[ ]$
75600.du1	75600ba1	75600.du	75600ba	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$138240$	$1.158960$	$593190/343$	$1.17596$	$3.30175$	$[0, 0, 0, -4875, -3750]$	\(y^2=x^3-4875x-3750\)	168.2.0.?	$[ ]$
75600.et1	75600bw1	75600.et	75600bw	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.376596440$	$1$		$6$	$82944$	$0.903547$	$593190/343$	$1.17596$	$3.02890$	$[0, 0, 0, -1755, 810]$	\(y^2=x^3-1755x+810\)	168.2.0.?	$[(-9, 126)]$
75600.hu1	75600bv1	75600.hu	75600bv	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.406010377$	$1$		$4$	$27648$	$0.354241$	$593190/343$	$1.17596$	$2.44210$	$[0, 0, 0, -195, -30]$	\(y^2=x^3-195x-30\)	168.2.0.?	$[(-11, 28)]$
264600.x1	264600x1	264600.x	264600x	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{3} \cdot 5^{8} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$3317760$	$2.131916$	$593190/343$	$1.17596$	$3.90556$	$[0, 0, 0, -238875, -1286250]$	\(y^2=x^3-238875x-1286250\)	168.2.0.?	$[ ]$
264600.bv1	264600bv1	264600.bv	264600bv	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$4.140846992$	$1$		$0$	$663552$	$1.327196$	$593190/343$	$1.17596$	$3.13216$	$[0, 0, 0, -9555, -10290]$	\(y^2=x^3-9555x-10290\)	168.2.0.?	$[(-791/4, 37387/4)]$
264600.fs1	264600fs1	264600.fs	264600fs	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{9} \cdot 5^{8} \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$10.07578155$	$1$		$0$	$9953280$	$2.681221$	$593190/343$	$1.17596$	$4.43348$	$[0, 0, 0, -2149875, 34728750]$	\(y^2=x^3-2149875x+34728750\)	168.2.0.?	$[(-411950/29, 759700900/29)]$
264600.gq1	264600gq1	264600.gq	264600gq	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$1990656$	$1.876501$	$593190/343$	$1.17596$	$3.66009$	$[0, 0, 0, -85995, 277830]$	\(y^2=x^3-85995x+277830\)	168.2.0.?	$[ ]$
302400.be1	302400be1	302400.be	302400be	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{17} \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$1105920$	$1.505533$	$593190/343$	$1.17596$	$3.26860$	$[0, 0, 0, -19500, -30000]$	\(y^2=x^3-19500x-30000\)	168.2.0.?	$[ ]$
302400.bx1	302400bx1	302400.bx	302400bx	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{17} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$663552$	$1.250120$	$593190/343$	$1.17596$	$3.02573$	$[0, 0, 0, -7020, -6480]$	\(y^2=x^3-7020x-6480\)	168.2.0.?	$[ ]$
302400.jc1	302400jc1	302400.jc	302400jc	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{17} \cdot 3^{9} \cdot 5^{8} \cdot 7^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1.559722159$	$1$		$12$	$3317760$	$2.054840$	$593190/343$	$1.17596$	$3.79094$	$[0, 0, 0, -175500, 810000]$	\(y^2=x^3-175500x+810000\)	168.2.0.?	$[(450, 3600), (0, 900)]$
302400.jv1	302400jv1	302400.jv	302400jv	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{17} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$221184$	$0.700814$	$593190/343$	$1.17596$	$2.50339$	$[0, 0, 0, -780, 240]$	\(y^2=x^3-780x+240\)	168.2.0.?	$[ ]$
302400.me1	302400me1	302400.me	302400me	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{17} \cdot 3^{9} \cdot 5^{8} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.735182354$	$1$		$4$	$3317760$	$2.054840$	$593190/343$	$1.17596$	$3.79094$	$[0, 0, 0, -175500, -810000]$	\(y^2=x^3-175500x-810000\)	168.2.0.?	$[(-50, 2800)]$
302400.mx1	302400mx1	302400.mx	302400mx	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{17} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.622752099$	$1$		$4$	$221184$	$0.700814$	$593190/343$	$1.17596$	$2.50339$	$[0, 0, 0, -780, -240]$	\(y^2=x^3-780x-240\)	168.2.0.?	$[(34, 112)]$
302400.uc1	302400uc1	302400.uc	302400uc	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{17} \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$3.084135366$	$1$		$2$	$1105920$	$1.505533$	$593190/343$	$1.17596$	$3.26860$	$[0, 0, 0, -19500, 30000]$	\(y^2=x^3-19500x+30000\)	168.2.0.?	$[(-44, 896)]$
302400.uv1	302400uv1	302400.uv	302400uv	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{17} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$3.193550552$	$1$		$2$	$663552$	$1.250120$	$593190/343$	$1.17596$	$3.02573$	$[0, 0, 0, -7020, 6480]$	\(y^2=x^3-7020x+6480\)	168.2.0.?	$[(-11, 287)]$
529200.cp1	-	529200.cp	-	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{9} \cdot 5^{8} \cdot 7^{9} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.732967618$	$1$		$18$	$19906560$	$2.681221$	$593190/343$	$1.17596$	$4.20031$	$[0, 0, 0, -2149875, -34728750]$	\(y^2=x^3-2149875x-34728750\)	168.2.0.?	$[(4725, 308700), (-1449, 6174)]$
529200.ef1	-	529200.ef	-	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$3981312$	$1.876501$	$593190/343$	$1.17596$	$3.46759$	$[0, 0, 0, -85995, -277830]$	\(y^2=x^3-85995x-277830\)	168.2.0.?	$[ ]$
529200.vk1	-	529200.vk	-	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{3} \cdot 5^{8} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$6635520$	$2.131916$	$593190/343$	$1.17596$	$3.70015$	$[0, 0, 0, -238875, 1286250]$	\(y^2=x^3-238875x+1286250\)	168.2.0.?	$[ ]$
529200.xa1	-	529200.xa	-	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$1327104$	$1.327196$	$593190/343$	$1.17596$	$2.96743$	$[0, 0, 0, -9555, 10290]$	\(y^2=x^3-9555x+10290\)	168.2.0.?	$[ ]$
2116800.hc1	-	2116800.hc	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{17} \cdot 3^{9} \cdot 5^{2} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$31850496$	$2.223076$	$593190/343$	$1.17596$	$3.42308$	$[0, 0, 0, -343980, 2222640]$	\(y^2=x^3-343980x+2222640\)	168.2.0.?	$[ ]$
2116800.hd1	-	2116800.hd	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{17} \cdot 3^{3} \cdot 5^{2} \cdot 7^{9} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$6.196712780$	$1$		$8$	$10616832$	$1.673769$	$593190/343$	$1.17596$	$2.97053$	$[0, 0, 0, -38220, 82320]$	\(y^2=x^3-38220x+82320\)	168.2.0.?	$[(-14, 784), (466, 9136)]$
2116800.lq1	-	2116800.lq	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{17} \cdot 3^{3} \cdot 5^{8} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$53084160$	$2.478489$	$593190/343$	$1.17596$	$3.63351$	$[0, 0, 0, -955500, 10290000]$	\(y^2=x^3-955500x+10290000\)	168.2.0.?	$[ ]$
2116800.lr1	-	2116800.lr	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{17} \cdot 3^{9} \cdot 5^{8} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$159252480$	$3.027794$	$593190/343$	$1.17596$	$4.08607$	$[0, 0, 0, -8599500, 277830000]$	\(y^2=x^3-8599500x+277830000\)	168.2.0.?	$[ ]$
2116800.cgi1	-	2116800.cgi	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{17} \cdot 3^{9} \cdot 5^{2} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$31850496$	$2.223076$	$593190/343$	$1.17596$	$3.42308$	$[0, 0, 0, -343980, -2222640]$	\(y^2=x^3-343980x-2222640\)	168.2.0.?	$[ ]$
2116800.cgj1	-	2116800.cgj	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{17} \cdot 3^{3} \cdot 5^{2} \cdot 7^{9} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$3.684830034$	$1$		$4$	$10616832$	$1.673769$	$593190/343$	$1.17596$	$2.97053$	$[0, 0, 0, -38220, -82320]$	\(y^2=x^3-38220x-82320\)	168.2.0.?	$[(-56, 1372), (2926/3, 126224/3)]$
2116800.ckw1	-	2116800.ckw	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{17} \cdot 3^{3} \cdot 5^{8} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$53084160$	$2.478489$	$593190/343$	$1.17596$	$3.63351$	$[0, 0, 0, -955500, -10290000]$	\(y^2=x^3-955500x-10290000\)	168.2.0.?	$[ ]$
2116800.ckx1	-	2116800.ckx	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{17} \cdot 3^{9} \cdot 5^{8} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$4$	$2$	$0$	$159252480$	$3.027794$	$593190/343$	$1.17596$	$4.08607$	$[0, 0, 0, -8599500, -277830000]$	\(y^2=x^3-8599500x-277830000\)	168.2.0.?	$[ ]$

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