Elliptic curve search results

Results (16 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
36300.e1	36300be1	36300.e	36300be	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$33264$	$0.735133$	$-2252800/2187$	$0.99373$	$3.08501$	$1$	$[0, -1, 0, -733, -12263]$	\(y^2=x^3-x^2-733x-12263\)	6.2.0.a.1	$[ ]$	$1$
36300.bd1	36300bd1	36300.bd	36300bd	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$365904$	$1.934080$	$-2252800/2187$	$0.99373$	$4.45529$	$1$	$[0, -1, 0, -88733, 16676937]$	\(y^2=x^3-x^2-88733x+16676937\)	6.2.0.a.1	$[ ]$	$1$
36300.bk1	36300bv1	36300.bk	36300bv	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{10} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$1829520$	$2.738800$	$-2252800/2187$	$0.99373$	$5.37501$	$1$	$[0, 1, 0, -2218333, 2080180463]$	\(y^2=x^3+x^2-2218333x+2080180463\)	6.2.0.a.1	$[ ]$	$1$
36300.ci1	36300bs1	36300.ci	36300bs	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{10} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$166320$	$1.539852$	$-2252800/2187$	$0.99373$	$4.00473$	$1$	$[0, 1, 0, -18333, -1569537]$	\(y^2=x^3+x^2-18333x-1569537\)	6.2.0.a.1	$[ ]$	$1$
108900.o1	108900cp1	108900.o	108900cp	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{10} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$14636160$	$3.288105$	$-2252800/2187$	$0.99373$	$5.43421$	$1$	$[0, 0, 0, -19965000, -56184837500]$	\(y^2=x^3-19965000x-56184837500\)	6.2.0.a.1	$[ ]$	$1$
108900.p1	108900dv1	108900.p	108900dv	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{4} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.656891094$	$1$		$6$	$266112$	$1.284439$	$-2252800/2187$	$0.99373$	$3.36113$	$1$	$[0, 0, 0, -6600, 337700]$	\(y^2=x^3-6600x+337700\)	6.2.0.a.1	$[(16, 486)]$	$1$
108900.dm1	108900dt1	108900.dm	108900dt	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{4} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$9.508709714$	$1$		$0$	$2927232$	$2.483387$	$-2252800/2187$	$0.99373$	$4.60161$	$1$	$[0, 0, 0, -798600, -449478700]$	\(y^2=x^3-798600x-449478700\)	6.2.0.a.1	$[(4746709/59, 6485096277/59)]$	$1$
108900.dn1	108900cm1	108900.dn	108900cm	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{10} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$9$	$3$	$0$	$1330560$	$2.089157$	$-2252800/2187$	$0.99373$	$4.19372$	$1$	$[0, 0, 0, -165000, 42212500]$	\(y^2=x^3-165000x+42212500\)	6.2.0.a.1	$[ ]$	$1$
145200.be1	145200fd1	145200.be	145200fd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{10} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$4.773628334$	$1$		$2$	$665280$	$1.539852$	$-2252800/2187$	$0.99373$	$3.53764$	$1$	$[0, -1, 0, -18333, 1569537]$	\(y^2=x^3-x^2-18333x+1569537\)	6.2.0.a.1	$[(-127, 1354)]$	$1$
145200.ek1	145200gd1	145200.ek	145200gd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{10} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$18.36023562$	$1$		$0$	$7318080$	$2.738800$	$-2252800/2187$	$0.99373$	$4.74810$	$1$	$[0, -1, 0, -2218333, -2080180463]$	\(y^2=x^3-x^2-2218333x-2080180463\)	6.2.0.a.1	$[(3159985317/1223, 94317159370918/1223)]$	$1$
145200.gs1	145200j1	145200.gs	145200j	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.486746902$	$1$		$6$	$1463616$	$1.934080$	$-2252800/2187$	$0.99373$	$3.93565$	$1$	$[0, 1, 0, -88733, -16676937]$	\(y^2=x^3+x^2-88733x-16676937\)	6.2.0.a.1	$[(403, 3630)]$	$1$
145200.kg1	145200y1	145200.kg	145200y	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.215772999$	$1$		$6$	$133056$	$0.735133$	$-2252800/2187$	$0.99373$	$2.72519$	$1$	$[0, 1, 0, -733, 12263]$	\(y^2=x^3+x^2-733x+12263\)	6.2.0.a.1	$[(23, 90)]$	$1$
435600.ec1	435600ec1	435600.ec	435600ec	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{10} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$5322240$	$2.089157$	$-2252800/2187$	$0.99373$	$3.74598$	$1$	$[0, 0, 0, -165000, -42212500]$	\(y^2=x^3-165000x-42212500\)	6.2.0.a.1	$[ ]$	$1$
435600.ed1	435600ed1	435600.ed	435600ed	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{4} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$11.40554825$	$1$		$0$	$11708928$	$2.483387$	$-2252800/2187$	$0.99373$	$4.11032$	$1$	$[0, 0, 0, -798600, 449478700]$	\(y^2=x^3-798600x+449478700\)	6.2.0.a.1	$[(-249454/19, 177721794/19)]$	$1$
435600.qn1	435600qn1	435600.qn	435600qn	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{4} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$8.240359676$	$1$		$2$	$1064448$	$1.284439$	$-2252800/2187$	$0.99373$	$3.00227$	$1$	$[0, 0, 0, -6600, -337700]$	\(y^2=x^3-6600x-337700\)	6.2.0.a.1	$[(22694, 3418722)]$	$1$
435600.qo1	435600qo1	435600.qo	435600qo	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{10} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$58544640$	$3.288105$	$-2252800/2187$	$0.99373$	$4.85402$	$1$	$[0, 0, 0, -19965000, 56184837500]$	\(y^2=x^3-19965000x+56184837500\)	6.2.0.a.1	$[ ]$	$1$

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