Elliptic curve search results

Results (10 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
28050.bw1	28050bl1	28050.bw	28050bl	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{17} \cdot 3^{2} \cdot 5^{10} \cdot 11^{3} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$1$	$1$		$0$	$1224000$	$2.381077$	$-30148578968103025/453762220032$	$0.96881$	$5.27888$	$[1, 0, 1, -1385951, 636013298]$	\(y^2+xy+y=x^3-1385951x+636013298\)	88.2.0.?	$[]$
28050.bx1	28050cv1	28050.bx	28050cv	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{17} \cdot 3^{2} \cdot 5^{4} \cdot 11^{3} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$0.027894040$	$1$		$56$	$244800$	$1.576357$	$-30148578968103025/453762220032$	$0.96881$	$4.33601$	$[1, 1, 1, -55438, 5065931]$	\(y^2+xy+y=x^3+x^2-55438x+5065931\)	88.2.0.?	$[(169, 663), (305, 3927)]$
84150.d1	84150di1	84150.d	84150di	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{17} \cdot 3^{8} \cdot 5^{4} \cdot 11^{3} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$1$	$1$		$0$	$1958400$	$2.125664$	$-30148578968103025/453762220032$	$0.96881$	$4.49721$	$[1, -1, 0, -498942, -137279084]$	\(y^2+xy=x^3-x^2-498942x-137279084\)	88.2.0.?	$[]$
84150.gy1	84150ey1	84150.gy	84150ey	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{17} \cdot 3^{8} \cdot 5^{10} \cdot 11^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$4.691054720$	$1$		$2$	$9792000$	$2.930382$	$-30148578968103025/453762220032$	$0.96881$	$5.34874$	$[1, -1, 1, -12473555, -17172359053]$	\(y^2+xy+y=x^3-x^2-12473555x-17172359053\)	88.2.0.?	$[(5755, 315906)]$
224400.l1	224400em1	224400.l	224400em	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{29} \cdot 3^{2} \cdot 5^{10} \cdot 11^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$19.23222251$	$1$		$0$	$29376000$	$3.074223$	$-30148578968103025/453762220032$	$0.96881$	$5.06305$	$[0, -1, 0, -22175208, -40704851088]$	\(y^2=x^3-x^2-22175208x-40704851088\)	88.2.0.?	$[(735954402/127, 19854195679398/127)]$
224400.ie1	224400y1	224400.ie	224400y	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{29} \cdot 3^{2} \cdot 5^{4} \cdot 11^{3} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$1$	$1$		$0$	$5875200$	$2.269505$	$-30148578968103025/453762220032$	$0.96881$	$4.27930$	$[0, 1, 0, -887008, -325993612]$	\(y^2=x^3+x^2-887008x-325993612\)	88.2.0.?	$[]$
308550.cr1	308550cr1	308550.cr	308550cr	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{17} \cdot 3^{2} \cdot 5^{4} \cdot 11^{9} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$1$	$1$		$0$	$29376000$	$2.775303$	$-30148578968103025/453762220032$	$0.96881$	$4.65169$	$[1, 1, 0, -6708000, -6776294400]$	\(y^2+xy=x^3+x^2-6708000x-6776294400\)	88.2.0.?	$[]$
308550.hw1	308550hw1	308550.hw	308550hw	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{17} \cdot 3^{2} \cdot 5^{10} \cdot 11^{9} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$1$	$1$		$0$	$146880000$	$3.580025$	$-30148578968103025/453762220032$	$0.96881$	$5.41569$	$[1, 0, 0, -167700013, -846701399983]$	\(y^2+xy=x^3-167700013x-846701399983\)	88.2.0.?	$[]$
476850.d1	476850d1	476850.d	476850d	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{2} \cdot 5^{10} \cdot 11^{3} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$18.31760834$	$1$		$0$	$352512000$	$3.797684$	$-30148578968103025/453762220032$	$0.96881$	$5.43514$	$[1, 1, 0, -400539700, 3125133874000]$	\(y^2+xy=x^3+x^2-400539700x+3125133874000\)	88.2.0.?	$[(175423819/130, 633052951393/130)]$
476850.ki1	476850ki1	476850.ki	476850ki	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{2} \cdot 5^{4} \cdot 11^{3} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$1$	$1$		$0$	$70502400$	$2.992962$	$-30148578968103025/453762220032$	$0.96881$	$4.69658$	$[1, 0, 0, -16021588, 25001070992]$	\(y^2+xy=x^3-16021588x+25001070992\)	88.2.0.?	$[]$