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
6450.h1	6450g1	6450.h	6450g	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{7} \cdot 3^{10} \cdot 5^{9} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$33600$	$1.529781$	$556832393083/325005696$	$1.02028$	$4.73452$	$1$	$[1, 1, 0, 21425, -102875]$	\(y^2+xy=x^3+x^2+21425x-102875\)	1720.2.0.?	$[ ]$	$1$
6450.bg1	6450bn1	6450.bg	6450bn	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{7} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$0.068051166$	$1$		$12$	$6720$	$0.725061$	$556832393083/325005696$	$1.02028$	$3.63366$	$1$	$[1, 0, 0, 857, -823]$	\(y^2+xy=x^3+857x-823\)	1720.2.0.?	$[(62, 509)]$	$1$
19350.g1	19350bm1	19350.g	19350bm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{7} \cdot 3^{16} \cdot 5^{3} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$53760$	$1.274368$	$556832393083/325005696$	$1.02028$	$3.89704$	$1$	$[1, -1, 0, 7713, 22221]$	\(y^2+xy=x^3-x^2+7713x+22221\)	1720.2.0.?	$[ ]$	$1$
19350.cq1	19350cp1	19350.cq	19350cp	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{7} \cdot 3^{16} \cdot 5^{9} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$268800$	$2.079086$	$556832393083/325005696$	$1.02028$	$4.87538$	$1$	$[1, -1, 1, 192820, 2970447]$	\(y^2+xy+y=x^3-x^2+192820x+2970447\)	1720.2.0.?	$[ ]$	$1$
51600.bu1	51600ci1	51600.bu	51600ci	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{19} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1.169887139$	$1$		$4$	$161280$	$1.418209$	$556832393083/325005696$	$1.02028$	$3.70386$	$1$	$[0, -1, 0, 13712, 52672]$	\(y^2=x^3-x^2+13712x+52672\)	1720.2.0.?	$[(616, 15552)]$	$1$
51600.cg1	51600dw1	51600.cg	51600dw	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{19} \cdot 3^{10} \cdot 5^{9} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1.061295564$	$1$		$4$	$806400$	$2.222927$	$556832393083/325005696$	$1.02028$	$4.59377$	$1$	$[0, 1, 0, 342792, 7269588]$	\(y^2=x^3+x^2+342792x+7269588\)	1720.2.0.?	$[(108, 6750)]$	$1$
154800.x1	154800g1	154800.x	154800g	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{19} \cdot 3^{16} \cdot 5^{9} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$3.276428727$	$1$		$2$	$6451200$	$2.772236$	$556832393083/325005696$	$1.02028$	$4.72305$	$1$	$[0, 0, 0, 3085125, -193193750]$	\(y^2=x^3+3085125x-193193750\)	1720.2.0.?	$[(2925, 184000)]$	$1$
154800.fm1	154800bd1	154800.fm	154800bd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{19} \cdot 3^{16} \cdot 5^{3} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$1290240$	$1.967516$	$556832393083/325005696$	$1.02028$	$3.91496$	$1$	$[0, 0, 0, 123405, -1545550]$	\(y^2=x^3+123405x-1545550\)	1720.2.0.?	$[ ]$	$1$
206400.q1	206400cu1	206400.q	206400cu	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{25} \cdot 3^{10} \cdot 5^{9} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$4.696835356$	$1$		$0$	$6451200$	$2.569500$	$556832393083/325005696$	$1.02028$	$4.41322$	$1$	$[0, -1, 0, 1371167, 56785537]$	\(y^2=x^3-x^2+1371167x+56785537\)	1720.2.0.?	$[(97/4, 516375/4)]$	$1$
206400.y1	206400id1	206400.y	206400id	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{25} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$2.825258137$	$1$		$6$	$1290240$	$1.764782$	$556832393083/325005696$	$1.02028$	$3.62413$	$1$	$[0, -1, 0, 54847, -476223]$	\(y^2=x^3-x^2+54847x-476223\)	1720.2.0.?	$[(227, 4860), (177, 3840)]$	$1$
206400.jv1	206400u1	206400.jv	206400u	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{25} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$0.586839869$	$1$		$6$	$1290240$	$1.764782$	$556832393083/325005696$	$1.02028$	$3.62413$	$1$	$[0, 1, 0, 54847, 476223]$	\(y^2=x^3+x^2+54847x+476223\)	1720.2.0.?	$[(79, 2304)]$	$1$
206400.kb1	206400gb1	206400.kb	206400gb	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{25} \cdot 3^{10} \cdot 5^{9} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$6451200$	$2.569500$	$556832393083/325005696$	$1.02028$	$4.41322$	$1$	$[0, 1, 0, 1371167, -56785537]$	\(y^2=x^3+x^2+1371167x-56785537\)	1720.2.0.?	$[ ]$	$1$
277350.y1	277350y1	277350.y	277350y	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( - 2^{7} \cdot 3^{10} \cdot 5^{3} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$4.209585930$	$1$		$2$	$12418560$	$2.605663$	$556832393083/325005696$	$1.02028$	$4.34380$	$1$	$[1, 1, 0, 1584555, 71772525]$	\(y^2+xy=x^3+x^2+1584555x+71772525\)	1720.2.0.?	$[(1515, 76395)]$	$1$
277350.cw1	277350cw1	277350.cw	277350cw	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( - 2^{7} \cdot 3^{10} \cdot 5^{9} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$0.400130268$	$1$		$6$	$62092800$	$3.410381$	$556832393083/325005696$	$1.02028$	$5.11430$	$1$	$[1, 0, 0, 39613862, 8892337892]$	\(y^2+xy=x^3+39613862x+8892337892\)	1720.2.0.?	$[(25352, 4147574)]$	$1$
316050.cz1	316050cz1	316050.cz	316050cz	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 2^{7} \cdot 3^{10} \cdot 5^{9} \cdot 7^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$11088000$	$2.502735$	$556832393083/325005696$	$1.02028$	$4.20147$	$1$	$[1, 0, 1, 1049799, 38435548]$	\(y^2+xy+y=x^3+1049799x+38435548\)	1720.2.0.?	$[ ]$	$1$
316050.fi1	316050fi1	316050.fi	316050fi	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 2^{7} \cdot 3^{10} \cdot 5^{3} \cdot 7^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1.054371347$	$1$		$4$	$2217600$	$1.698017$	$556832393083/325005696$	$1.02028$	$3.43892$	$1$	$[1, 1, 1, 41992, 324281]$	\(y^2+xy+y=x^3+x^2+41992x+324281\)	1720.2.0.?	$[(105, 2377)]$	$1$

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