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
16830.i1	16830f2	16830.i	16830f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$0$	$2257920$	$3.225063$	$48987507305640443781123/19983176659298631680$	$1.12343$	$6.38515$	$[1, -1, 0, -20581845, -19518668299]$	\(y^2+xy=x^3-x^2-20581845x-19518668299\)	2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.?	$[]$
16830.cn1	16830bq2	16830.cn	16830bq	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{3} \cdot 5 \cdot 11^{2} \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$0$	$752640$	$2.675758$	$48987507305640443781123/19983176659298631680$	$1.12343$	$5.70775$	$[1, -1, 1, -2286872, 723675931]$	\(y^2+xy+y=x^3-x^2-2286872x+723675931\)	2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.?	$[]$
84150.bw1	84150r2	84150.bw	84150r	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 11^{2} \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1.939453236$	$1$		$2$	$18063360$	$3.480476$	$48987507305640443781123/19983176659298631680$	$1.12343$	$5.74923$	$[1, -1, 0, -57171792, 90402319616]$	\(y^2+xy=x^3-x^2-57171792x+90402319616\)	2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.?	$[(-1376, 408688)]$
84150.fj1	84150ds2	84150.fj	84150ds	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 11^{2} \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$0$	$54190080$	$4.029785$	$48987507305640443781123/19983176659298631680$	$1.12343$	$6.33049$	$[1, -1, 1, -514546130, -2440348083503]$	\(y^2+xy+y=x^3-x^2-514546130x-2440348083503\)	2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.?	$[]$
134640.bk1	134640du2	134640.bk	134640du	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{26} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$1$	$54190080$	$3.918209$	$48987507305640443781123/19983176659298631680$	$1.12343$	$5.96520$	$[0, 0, 0, -329309523, 1249524080658]$	\(y^2=x^3-329309523x+1249524080658\)	2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.?	$[]$
134640.eb1	134640db2	134640.eb	134640db	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{26} \cdot 3^{3} \cdot 5 \cdot 11^{2} \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$28.31777720$	$1$		$1$	$18063360$	$3.368904$	$48987507305640443781123/19983176659298631680$	$1.12343$	$5.40707$	$[0, 0, 0, -36589947, -46278669654]$	\(y^2=x^3-36589947x-46278669654\)	2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.?	$[(-1541280843425/25929, 2786760625278128246/25929)]$
185130.cg1	185130fa2	185130.cg	185130fa	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{14} \cdot 3^{3} \cdot 5 \cdot 11^{8} \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$0$	$90316800$	$3.874706$	$48987507305640443781123/19983176659298631680$	$1.12343$	$5.76553$	$[1, -1, 0, -276711474, -962382530092]$	\(y^2+xy=x^3-x^2-276711474x-962382530092\)	2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.?	$[]$
185130.ds1	185130cj2	185130.ds	185130cj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{14} \cdot 3^{9} \cdot 5 \cdot 11^{8} \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$7.520157634$	$1$		$2$	$270950400$	$4.424011$	$48987507305640443781123/19983176659298631680$	$1.12343$	$6.30900$	$[1, -1, 1, -2490403268, 25986818715751]$	\(y^2+xy+y=x^3-x^2-2490403268x+25986818715751\)	2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.?	$[(204713, 89870581)]$
286110.cp1	286110cp2	286110.cp	286110cp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{16} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$41.75593347$	$1$		$0$	$650280960$	$4.641670$	$48987507305640443781123/19983176659298631680$	$1.12343$	$6.29830$	$[1, -1, 0, -5948153259, -95919009965947]$	\(y^2+xy=x^3-x^2-5948153259x-95919009965947\)	2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.?	$[(334890902031152624011/40000313, 5655985638322891416163908913367/40000313)]$
286110.el1	286110el2	286110.el	286110el	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 5 \cdot 11^{2} \cdot 17^{16} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$0$	$216760320$	$4.092361$	$48987507305640443781123/19983176659298631680$	$1.12343$	$5.77366$	$[1, -1, 1, -660905918, 3552776226637]$	\(y^2+xy+y=x^3-x^2-660905918x+3552776226637\)	2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.?	$[]$