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.br1	28050bq1	28050.br	28050bq	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{3} \cdot 5^{4} \cdot 11^{6} \cdot 17^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$408$	$16$	$0$	$1$	$1$		$2$	$137376$	$1.456642$	$-16673509288825/469998676422$	$0.98475$	$3.98260$	$[1, 0, 1, -4551, 832648]$	\(y^2+xy+y=x^3-4551x+832648\)	3.8.0-3.a.1.2, 408.16.0.?	$[]$
28050.cg1	28050ck1	28050.cg	28050ck	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{3} \cdot 5^{10} \cdot 11^{6} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2040$	$16$	$0$	$1$	$1$		$0$	$686880$	$2.261360$	$-16673509288825/469998676422$	$0.98475$	$4.92547$	$[1, 1, 1, -113763, 104081031]$	\(y^2+xy+y=x^3+x^2-113763x+104081031\)	3.4.0.a.1, 15.8.0-3.a.1.2, 408.8.0.?, 2040.16.0.?	$[]$
84150.t1	84150bg1	84150.t	84150bg	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{9} \cdot 5^{10} \cdot 11^{6} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2040$	$16$	$0$	$1$	$4$	$2$	$0$	$5495040$	$2.810669$	$-16673509288825/469998676422$	$0.98475$	$5.02957$	$[1, -1, 0, -1023867, -2811211709]$	\(y^2+xy=x^3-x^2-1023867x-2811211709\)	3.4.0.a.1, 15.8.0-3.a.1.1, 408.8.0.?, 2040.16.0.?	$[]$
84150.gd1	84150gt1	84150.gd	84150gt	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{9} \cdot 5^{4} \cdot 11^{6} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$408$	$16$	$0$	$6.778941282$	$1$		$0$	$1099008$	$2.005947$	$-16673509288825/469998676422$	$0.98475$	$4.17804$	$[1, -1, 1, -40955, -22481503]$	\(y^2+xy+y=x^3-x^2-40955x-22481503\)	3.8.0-3.a.1.1, 408.16.0.?	$[(147007/18, 40805495/18)]$
224400.bc1	224400dm1	224400.bc	224400dm	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{13} \cdot 3^{3} \cdot 5^{4} \cdot 11^{6} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$408$	$16$	$0$	$1.923820293$	$1$		$2$	$3297024$	$2.149788$	$-16673509288825/469998676422$	$0.98475$	$3.98554$	$[0, -1, 0, -72808, -53289488]$	\(y^2=x^3-x^2-72808x-53289488\)	3.4.0.a.1, 12.8.0-3.a.1.1, 408.16.0.?	$[(1202, 39930)]$
224400.hm1	224400cq1	224400.hm	224400cq	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{13} \cdot 3^{3} \cdot 5^{10} \cdot 11^{6} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2040$	$16$	$0$	$1$	$1$		$0$	$16485120$	$2.954510$	$-16673509288825/469998676422$	$0.98475$	$4.76928$	$[0, 1, 0, -1820208, -6664826412]$	\(y^2=x^3+x^2-1820208x-6664826412\)	3.4.0.a.1, 60.8.0-3.a.1.2, 408.8.0.?, 2040.16.0.?	$[]$
308550.by1	308550by1	308550.by	308550by	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2 \cdot 3^{3} \cdot 5^{10} \cdot 11^{12} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$22440$	$16$	$0$	$1$	$1$		$0$	$82425600$	$3.460308$	$-16673509288825/469998676422$	$0.98475$	$5.12932$	$[1, 1, 0, -13765325, -138600679125]$	\(y^2+xy=x^3+x^2-13765325x-138600679125\)	3.4.0.a.1, 165.8.0.?, 408.8.0.?, 22440.16.0.?	$[]$
308550.ij1	308550ij1	308550.ij	308550ij	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2 \cdot 3^{3} \cdot 5^{4} \cdot 11^{12} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4488$	$16$	$0$	$1$	$1$		$0$	$16485120$	$2.655590$	$-16673509288825/469998676422$	$0.98475$	$4.36533$	$[1, 0, 0, -550613, -1108805433]$	\(y^2+xy=x^3-550613x-1108805433\)	3.4.0.a.1, 33.8.0-3.a.1.2, 408.8.0.?, 4488.16.0.?	$[]$
476850.m1	476850m1	476850.m	476850m	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2 \cdot 3^{3} \cdot 5^{4} \cdot 11^{6} \cdot 17^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$408$	$16$	$0$	$1$	$1$		$0$	$39564288$	$2.873249$	$-16673509288825/469998676422$	$0.98475$	$4.41975$	$[1, 1, 0, -1315100, 4092115950]$	\(y^2+xy=x^3+x^2-1315100x+4092115950\)	3.4.0.a.1, 24.8.0-3.a.1.5, 51.8.0-3.a.1.2, 408.16.0.?	$[]$
476850.js1	476850js1	476850.js	476850js	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2 \cdot 3^{3} \cdot 5^{10} \cdot 11^{6} \cdot 17^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2040$	$16$	$0$	$35.64724154$	$1$		$0$	$197821440$	$3.677967$	$-16673509288825/469998676422$	$0.98475$	$5.15831$	$[1, 0, 0, -32877513, 511580248767]$	\(y^2+xy=x^3-32877513x+511580248767\)	3.4.0.a.1, 120.8.0.?, 255.8.0.?, 408.8.0.?, 2040.16.0.?	$[(959588606441639571/17637346, 3628909314428005708502513655/17637346)]$