Elliptic curve search results

Results (17 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
4830.f1	4830g2	4830.f	4830g	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2 \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.414281513$	$1$		$8$	$4608$	$0.686864$	$44365623586201/25674468750$	$1.10875$	$3.70446$	$[1, 1, 0, -737, -321]$	\(y^2+xy=x^3+x^2-737x-321\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(-7, 71)]$
14490.bn1	14490br2	14490.bn	14490br	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2 \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$3.043135939$	$1$		$0$	$36864$	$1.236170$	$44365623586201/25674468750$	$1.10875$	$3.96768$	$[1, -1, 1, -6638, 2031]$	\(y^2+xy+y=x^3-x^2-6638x+2031\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(-1/2, 483/2)]$
24150.cg1	24150ch2	24150.cg	24150ch	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2 \cdot 3^{6} \cdot 5^{12} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$0$	$110592$	$1.491583$	$44365623586201/25674468750$	$1.10875$	$4.07055$	$[1, 0, 0, -18438, -3258]$	\(y^2+xy=x^3-18438x-3258\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[]$
33810.bb1	33810bf2	33810.bb	33810bf	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2 \cdot 3^{6} \cdot 5^{6} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1.032245008$	$1$		$6$	$221184$	$1.659819$	$44365623586201/25674468750$	$1.10875$	$4.13280$	$[1, 0, 1, -36139, 1712]$	\(y^2+xy+y=x^3-36139x+1712\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(-80, 1583)]$
38640.cu1	38640cx2	38640.cu	38640cx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{13} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.195171914$	$1$		$17$	$110592$	$1.380011$	$44365623586201/25674468750$	$1.10875$	$3.76265$	$[0, 1, 0, -11800, -3052]$	\(y^2=x^3+x^2-11800x-3052\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(-34, 600)]$
72450.v1	72450x2	72450.v	72450x	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2 \cdot 3^{12} \cdot 5^{12} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$0$	$884736$	$2.040890$	$44365623586201/25674468750$	$1.10875$	$4.25997$	$[1, -1, 0, -165942, 87966]$	\(y^2+xy=x^3-x^2-165942x+87966\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[]$
101430.fg1	101430fg2	101430.fg	101430fg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2 \cdot 3^{12} \cdot 5^{6} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$0$	$1769472$	$2.209126$	$44365623586201/25674468750$	$1.10875$	$4.31076$	$[1, -1, 1, -325247, -46231]$	\(y^2+xy+y=x^3-x^2-325247x-46231\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[]$
111090.b1	111090a2	111090.b	111090a	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2 \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$0$	$2433024$	$2.254612$	$44365623586201/25674468750$	$1.10875$	$4.32398$	$[1, 1, 0, -390148, 5002]$	\(y^2+xy=x^3+x^2-390148x+5002\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[]$
115920.i1	115920cw2	115920.i	115920cw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{13} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1.645519436$	$1$		$7$	$884736$	$1.929317$	$44365623586201/25674468750$	$1.10875$	$3.97344$	$[0, 0, 0, -106203, -23798]$	\(y^2=x^3-106203x-23798\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(-49, 2250)]$
154560.h1	154560dm2	154560.h	154560dm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{19} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1.985195196$	$1$		$3$	$884736$	$1.726585$	$44365623586201/25674468750$	$1.10875$	$3.67416$	$[0, -1, 0, -47201, 22785]$	\(y^2=x^3-x^2-47201x+22785\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(269, 2592)]$
154560.fy1	154560fi2	154560.fy	154560fi	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{19} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$2.318835107$	$1$		$5$	$884736$	$1.726585$	$44365623586201/25674468750$	$1.10875$	$3.67416$	$[0, 1, 0, -47201, -22785]$	\(y^2=x^3+x^2-47201x-22785\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(-35, 1260)]$
169050.ff1	169050dk2	169050.ff	169050dk	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2 \cdot 3^{6} \cdot 5^{12} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$0$	$5308416$	$2.464539$	$44365623586201/25674468750$	$1.10875$	$4.38244$	$[1, 1, 1, -903463, 214031]$	\(y^2+xy+y=x^3+x^2-903463x+214031\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[]$
193200.cx1	193200ea2	193200.cx	193200ea	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{13} \cdot 3^{6} \cdot 5^{12} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$4.089341080$	$1$		$3$	$2654208$	$2.184731$	$44365623586201/25674468750$	$1.10875$	$4.05849$	$[0, -1, 0, -295008, 208512]$	\(y^2=x^3-x^2-295008x+208512\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(7962, 708750)]$
270480.bv1	270480bv2	270480.bv	270480bv	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{13} \cdot 3^{6} \cdot 5^{6} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$5308416$	$2.352966$	$44365623586201/25674468750$	$1.10875$	$4.11072$	$[0, -1, 0, -578216, -109584]$	\(y^2=x^3-x^2-578216x-109584\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[]$
333270.ef1	333270ef2	333270.ef	333270ef	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2 \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1.709344322$	$1$		$0$	$19464192$	$2.803917$	$44365623586201/25674468750$	$1.10875$	$4.46878$	$[1, -1, 1, -3511337, -3646389]$	\(y^2+xy+y=x^3-x^2-3511337x-3646389\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(-2161/2, 335427/2)]$
463680.kb1	463680kb2	463680.kb	463680kb	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{19} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$7077888$	$2.275890$	$44365623586201/25674468750$	$1.10875$	$3.87001$	$[0, 0, 0, -424812, -190384]$	\(y^2=x^3-424812x-190384\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[]$
463680.md1	463680md2	463680.md	463680md	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{19} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1.067802338$	$1$		$7$	$7077888$	$2.275890$	$44365623586201/25674468750$	$1.10875$	$3.87001$	$[0, 0, 0, -424812, 190384]$	\(y^2=x^3-424812x+190384\)	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(-442, 10080)]$