Elliptic curve search results

Results (20 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
9075.e1	9075c1	9075.e	9075c	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$5.614966616$	$1$		$0$	$22176$	$1.428806$	$-10241915/2187$	$0.93118$	$4.52702$	$[1, 1, 1, -17608, -1059574]$	\(y^2+xy+y=x^3+x^2-17608x-1059574\)	132.2.0.?	$[(8026/5, 623411/5)]$
9075.h1	9075r1	9075.h	9075r	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.099543785$	$1$		$10$	$10080$	$1.034578$	$-10241915/2187$	$0.93118$	$4.00792$	$[1, 0, 0, -3638, 98517]$	\(y^2+xy=x^3-3638x+98517\)	132.2.0.?	$[(-23, 424)]$
9075.m1	9075a1	9075.m	9075a	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.097275017$	$1$		$2$	$2016$	$0.229859$	$-10241915/2187$	$0.93118$	$2.94829$	$[1, 1, 0, -145, 730]$	\(y^2+xy=x^3+x^2-145x+730\)	132.2.0.?	$[(6, 8)]$
9075.p1	9075p1	9075.p	9075p	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.555959923$	$1$		$2$	$110880$	$2.233524$	$-10241915/2187$	$0.93118$	$5.58664$	$[1, 0, 1, -440201, -131566327]$	\(y^2+xy+y=x^3-440201x-131566327\)	132.2.0.?	$[(9327, 893761)]$
27225.h1	27225bw1	27225.h	27225bw	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{13} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$2.708643751$	$1$		$0$	$887040$	$2.782833$	$-10241915/2187$	$0.93118$	$5.63111$	$[1, -1, 1, -3961805, 3552290822]$	\(y^2+xy+y=x^3-x^2-3961805x+3552290822\)	132.2.0.?	$[(-4113/2, 650975/2)]$
27225.i1	27225bd1	27225.i	27225bd	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{13} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$16128$	$0.779165$	$-10241915/2187$	$0.93118$	$3.27660$	$[1, -1, 1, -1310, -21018]$	\(y^2+xy+y=x^3-x^2-1310x-21018\)	132.2.0.?	$[ ]$
27225.bs1	27225bb1	27225.bs	27225bb	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{13} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$177408$	$1.978113$	$-10241915/2187$	$0.93118$	$4.68549$	$[1, -1, 0, -158472, 28450021]$	\(y^2+xy=x^3-x^2-158472x+28450021\)	132.2.0.?	$[ ]$
27225.bt1	27225bt1	27225.bt	27225bt	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{13} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$4.462545597$	$1$		$0$	$80640$	$1.583883$	$-10241915/2187$	$0.93118$	$4.22223$	$[1, -1, 0, -32742, -2659959]$	\(y^2+xy=x^3-x^2-32742x-2659959\)	132.2.0.?	$[(4173/4, 154707/4)]$
145200.cb1	145200dy1	145200.cb	145200dy	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$2.628292756$	$1$		$2$	$645120$	$1.727726$	$-10241915/2187$	$0.93118$	$3.77280$	$[0, -1, 0, -58208, -6305088]$	\(y^2=x^3-x^2-58208x-6305088\)	132.2.0.?	$[(642, 14850)]$
145200.dq1	145200eg1	145200.dq	145200eg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$4.118469950$	$1$		$2$	$7096320$	$2.926674$	$-10241915/2187$	$0.93118$	$4.98326$	$[0, -1, 0, -7043208, 8420244912]$	\(y^2=x^3-x^2-7043208x+8420244912\)	132.2.0.?	$[(-2702, 87846)]$
145200.ht1	145200cd1	145200.ht	145200cd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.170803374$	$1$		$4$	$1419264$	$2.121952$	$-10241915/2187$	$0.93118$	$4.17082$	$[0, 1, 0, -281728, 67249268]$	\(y^2=x^3+x^2-281728x+67249268\)	132.2.0.?	$[(524, 7986)]$
145200.iz1	145200cr1	145200.iz	145200cr	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.953295857$	$1$		$6$	$129024$	$0.923006$	$-10241915/2187$	$0.93118$	$2.96036$	$[0, 1, 0, -2328, -51372]$	\(y^2=x^3+x^2-2328x-51372\)	132.2.0.?	$[(84, 594)]$
435600.hi1	435600hi1	435600.hi	435600hi	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{13} \cdot 5^{8} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$5160960$	$2.277031$	$-10241915/2187$	$0.93118$	$3.96124$	$[0, 0, 0, -523875, 170761250]$	\(y^2=x^3-523875x+170761250\)	132.2.0.?	$[ ]$
435600.hj1	435600hj1	435600.hj	435600hj	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{13} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$6.604454472$	$1$		$2$	$11354112$	$2.671261$	$-10241915/2187$	$0.93118$	$4.32558$	$[0, 0, 0, -2535555, -1818265790]$	\(y^2=x^3-2535555x-1818265790\)	132.2.0.?	$[(29351, 5020866)]$
435600.nf1	435600nf1	435600.nf	435600nf	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{13} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.075902724$	$1$		$4$	$1032192$	$1.472313$	$-10241915/2187$	$0.93118$	$3.21754$	$[0, 0, 0, -20955, 1366090]$	\(y^2=x^3-20955x+1366090\)	132.2.0.?	$[(71, 486)]$
435600.nh1	435600nh1	435600.nh	435600nh	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{13} \cdot 5^{8} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$9$	$3$	$0$	$56770560$	$3.475979$	$-10241915/2187$	$0.93118$	$5.06929$	$[0, 0, 0, -63388875, -227283223750]$	\(y^2=x^3-63388875x-227283223750\)	132.2.0.?	$[ ]$
444675.bx1	444675bx1	444675.bx	444675bx	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{8} \cdot 7^{6} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$11.73234358$	$1$		$0$	$3810240$	$2.007534$	$-10241915/2187$	$0.93118$	$3.70629$	$[1, 1, 1, -178263, -33969594]$	\(y^2+xy+y=x^3+x^2-178263x-33969594\)	132.2.0.?	$[(279186/23, 50231271/23)]$
444675.cr1	444675cr1	444675.cr	444675cr	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$2.236849794$	$1$		$4$	$8382528$	$2.401760$	$-10241915/2187$	$0.93118$	$4.07005$	$[1, 0, 0, -862793, 360845442]$	\(y^2+xy=x^3-862793x+360845442\)	132.2.0.?	$[(-1079, 6529)]$
444675.fo1	444675fo1	444675.fo	444675fo	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{8} \cdot 7^{6} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$43.19010630$	$1$		$0$	$41912640$	$3.206482$	$-10241915/2187$	$0.93118$	$4.81258$	$[1, 1, 0, -21569825, 45105680250]$	\(y^2+xy=x^3+x^2-21569825x+45105680250\)	132.2.0.?	$[(71471017562141391526/221842069, 1409120084043660517550478746192/221842069)]$
444675.gj1	444675gj1	444675.gj	444675gj	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$3.060890196$	$1$		$2$	$762048$	$1.202814$	$-10241915/2187$	$0.93118$	$2.96377$	$[1, 0, 1, -7131, -271757]$	\(y^2+xy+y=x^3-7131x-271757\)	132.2.0.?	$[(131, 957)]$

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