Elliptic curve search results

Results (12 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
19074.s2	19074s2	19074.s	19074s	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{4} \cdot 11^{4} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$4488$	$48$	$1$	$6.480857657$	$1$		$0$	$208896$	$2.084839$	$-274625/4743684$	$1.07704$	$4.90317$	$[1, 1, 1, -6653, -36089161]$	\(y^2+xy+y=x^3+x^2-6653x-36089161\)	2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 264.24.0.?, 4488.48.1.?	$[(8143/3, 701914/3)]$
19074.bg2	19074z2	19074.bg	19074z	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{4} \cdot 11^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$4488$	$48$	$1$	$2.141985707$	$1$		$4$	$12288$	$0.668233$	$-274625/4743684$	$1.07704$	$3.17842$	$[1, 0, 0, -23, -7347]$	\(y^2+xy=x^3-23x-7347\)	2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 264.24.0.?, 4488.48.1.?	$[(22, 43)]$
57222.p2	57222c2	57222.p	57222c	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{10} \cdot 11^{4} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$4488$	$48$	$1$	$1$	$1$		$0$	$1671168$	$2.634144$	$-274625/4743684$	$1.07704$	$5.01316$	$[1, -1, 0, -59877, 974347465]$	\(y^2+xy=x^3-x^2-59877x+974347465\)	2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 264.24.0.?, 4488.48.1.?	$[]$
57222.q2	57222p2	57222.q	57222p	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{10} \cdot 11^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$4488$	$48$	$1$	$0.540889851$	$1$		$8$	$98304$	$1.217539$	$-274625/4743684$	$1.07704$	$3.46138$	$[1, -1, 0, -207, 198369]$	\(y^2+xy=x^3-x^2-207x+198369\)	2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 264.24.0.?, 4488.48.1.?	$[(81, 801)]$
152592.t2	152592bx2	152592.t	152592bx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{4} \cdot 11^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$4488$	$48$	$1$	$1.774552808$	$1$		$5$	$294912$	$1.361380$	$-274625/4743684$	$1.07704$	$3.32155$	$[0, -1, 0, -368, 470208]$	\(y^2=x^3-x^2-368x+470208\)	2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 264.24.0.?, 4488.48.1.?	$[(42, 726)]$
152592.cm2	152592r2	152592.cm	152592r	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{4} \cdot 11^{4} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$4488$	$48$	$1$	$9.080873383$	$1$		$1$	$5013504$	$2.777988$	$-274625/4743684$	$1.07704$	$4.74581$	$[0, 1, 0, -106448, 2309493396]$	\(y^2=x^3+x^2-106448x+2309493396\)	2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 264.24.0.?, 4488.48.1.?	$[(6676/5, 5995026/5)]$
209814.m2	209814cu2	209814.m	209814cu	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{4} \cdot 11^{10} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$4488$	$48$	$1$	$1$	$1$		$0$	$25067520$	$3.283787$	$-274625/4743684$	$1.07704$	$5.11780$	$[1, 1, 0, -805015, 48030647977]$	\(y^2+xy=x^3+x^2-805015x+48030647977\)	2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 264.24.0.?, 4488.48.1.?	$[]$
209814.bo2	209814bx2	209814.bo	209814bx	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{4} \cdot 11^{10} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$4488$	$48$	$1$	$1.208790092$	$1$		$6$	$1474560$	$1.867180$	$-274625/4743684$	$1.07704$	$3.73055$	$[1, 0, 1, -2786, 9776072]$	\(y^2+xy+y=x^3-2786x+9776072\)	2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 264.24.0.?, 4488.48.1.?	$[(-78, 3124)]$
457776.da2	457776da2	457776.da	457776da	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{10} \cdot 11^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$4488$	$48$	$1$	$5.651668256$	$1$		$3$	$2359296$	$1.910686$	$-274625/4743684$	$1.07704$	$3.54731$	$[0, 0, 0, -3315, -12692302]$	\(y^2=x^3-3315x-12692302\)	2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 264.24.0.?, 4488.48.1.?	$[(407, 7306)]$
457776.db2	457776db2	457776.db	457776db	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{10} \cdot 11^{4} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$4488$	$48$	$1$	$1$	$4$	$2$	$1$	$40108032$	$3.327293$	$-274625/4743684$	$1.07704$	$4.85153$	$[0, 0, 0, -958035, -62357279726]$	\(y^2=x^3-958035x-62357279726\)	2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 264.24.0.?, 4488.48.1.?	$[]$
476850.bm2	476850bm2	476850.bm	476850bm	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$4488$	$48$	$1$	$2.580240050$	$1$		$4$	$1769472$	$1.472952$	$-274625/4743684$	$1.07704$	$3.13449$	$[1, 1, 0, -575, -918375]$	\(y^2+xy=x^3+x^2-575x-918375\)	2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 264.24.0.?, 4488.48.1.?	$[(371, 6893)]$
476850.ej2	476850ej2	476850.ej	476850ej	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$4488$	$48$	$1$	$3.802605472$	$1$		$4$	$30081024$	$2.889557$	$-274625/4743684$	$1.07704$	$4.43463$	$[1, 0, 1, -166326, -4510812452]$	\(y^2+xy+y=x^3-166326x-4510812452\)	2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 264.24.0.?, 4488.48.1.?	$[(1892, 43191)]$