Elliptic curve search results

Results (8 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
41382.i2	41382b1	41382.i	41382b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{22} \cdot 3^{9} \cdot 11^{3} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$264$	$12$	$0$	$1$	$1$		$1$	$1115136$	$2.405037$	$4337844797073969/546605891584$	$1.02308$	$4.99382$	$[1, -1, 0, -1009113, -344837971]$	\(y^2+xy=x^3-x^2-1009113x-344837971\)	2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.?	$[]$
41382.x2	41382a1	41382.x	41382a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{22} \cdot 3^{3} \cdot 11^{9} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$264$	$12$	$0$	$16.43360834$	$1$		$1$	$4088832$	$3.054680$	$4337844797073969/546605891584$	$1.02308$	$5.72715$	$[1, -1, 0, -13566966, -17008279436]$	\(y^2+xy=x^3-x^2-13566966x-17008279436\)	2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.?	$[(-324076945/409, 3127007287928/409)]$
41382.bq2	41382bi1	41382.bq	41382bi	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{22} \cdot 3^{9} \cdot 11^{9} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$264$	$12$	$0$	$1$	$1$		$1$	$12266496$	$3.603985$	$4337844797073969/546605891584$	$1.02308$	$6.34722$	$[1, -1, 1, -122102696, 459345647467]$	\(y^2+xy+y=x^3-x^2-122102696x+459345647467\)	2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.?	$[]$
41382.cn2	41382bj1	41382.cn	41382bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{22} \cdot 3^{3} \cdot 11^{3} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$264$	$12$	$0$	$0.331036293$	$1$		$9$	$371712$	$1.855730$	$4337844797073969/546605891584$	$1.02308$	$4.37376$	$[1, -1, 1, -112124, 12809151]$	\(y^2+xy+y=x^3-x^2-112124x+12809151\)	2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.?	$[(113, 1197)]$
331056.z2	331056z1	331056.z	331056z	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{34} \cdot 3^{9} \cdot 11^{3} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$264$	$12$	$0$	$1$	$1$		$1$	$26763264$	$3.098183$	$4337844797073969/546605891584$	$1.02308$	$4.83123$	$[0, 0, 0, -16145811, 22085775954]$	\(y^2=x^3-16145811x+22085775954\)	2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.?	$[]$
331056.bl2	331056bl1	331056.bl	331056bl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{34} \cdot 3^{9} \cdot 11^{9} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$264$	$12$	$0$	$19.94231383$	$1$		$1$	$294395904$	$4.297134$	$4337844797073969/546605891584$	$1.02308$	$5.96320$	$[0, 0, 0, -1953643131, -29396167794774]$	\(y^2=x^3-1953643131x-29396167794774\)	2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.?	$[(1450447485663/2279, 1723626711186584490/2279)]$
331056.ee2	331056ee1	331056.ee	331056ee	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{34} \cdot 3^{3} \cdot 11^{3} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$264$	$12$	$0$	$1$	$1$		$1$	$8921088$	$2.548878$	$4337844797073969/546605891584$	$1.02308$	$4.31261$	$[0, 0, 0, -1793979, -817991702]$	\(y^2=x^3-1793979x-817991702\)	2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.?	$[]$
331056.ep2	331056ep1	331056.ep	331056ep	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{34} \cdot 3^{3} \cdot 11^{9} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$264$	$12$	$0$	$14.26921030$	$1$		$1$	$98131968$	$3.747826$	$4337844797073969/546605891584$	$1.02308$	$5.44458$	$[0, 0, 0, -217071459, 1088746955362]$	\(y^2=x^3-217071459x+1088746955362\)	2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.?	$[(-1460841/43, 89237730806/43)]$