Elliptic curve search results

Results (18 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
16184.b1	16184b1	16184.b	16184b	$2$	$2$	\( 2^{3} \cdot 7 \cdot 17^{2} \)	\( 2^{10} \cdot 7^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$1$	$1$		$1$	$87040$	$1.746254$	$275684/49$	$0.78154$	$4.63872$	$[0, 1, 0, -67144, 5551872]$	\(y^2=x^3+x^2-67144x+5551872\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[]$
16184.e1	16184f1	16184.e	16184f	$2$	$2$	\( 2^{3} \cdot 7 \cdot 17^{2} \)	\( 2^{10} \cdot 7^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$2.380288079$	$1$		$3$	$5120$	$0.329648$	$275684/49$	$0.78154$	$2.88473$	$[0, -1, 0, -232, 1212]$	\(y^2=x^3-x^2-232x+1212\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[(78, 672)]$
32368.h1	32368c1	32368.h	32368c	$2$	$2$	\( 2^{4} \cdot 7 \cdot 17^{2} \)	\( 2^{10} \cdot 7^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$0.831271795$	$1$		$7$	$10240$	$0.329648$	$275684/49$	$0.78154$	$2.69218$	$[0, 1, 0, -232, -1212]$	\(y^2=x^3+x^2-232x-1212\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[(-8, 14)]$
32368.bd1	32368d1	32368.bd	32368d	$2$	$2$	\( 2^{4} \cdot 7 \cdot 17^{2} \)	\( 2^{10} \cdot 7^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$1$	$1$		$1$	$174080$	$1.746254$	$275684/49$	$0.78154$	$4.32910$	$[0, -1, 0, -67144, -5551872]$	\(y^2=x^3-x^2-67144x-5551872\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[]$
113288.c1	113288z1	113288.c	113288z	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{10} \cdot 7^{8} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$3.035150974$	$1$		$5$	$245760$	$1.302603$	$275684/49$	$0.78154$	$3.40562$	$[0, 1, 0, -11384, -392960]$	\(y^2=x^3+x^2-11384x-392960\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[(-57, 272)]$
113288.bb1	113288x1	113288.bb	113288x	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{10} \cdot 7^{8} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$55.76787345$	$1$		$1$	$4177920$	$2.719208$	$275684/49$	$0.78154$	$4.86633$	$[0, -1, 0, -3290072, -1910872228]$	\(y^2=x^3-x^2-3290072x-1910872228\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[(28254431920740312034960582/67254027433, 143086134098117511459962044865027162304/67254027433)]$
129472.o1	129472bg1	129472.o	129472bg	$2$	$2$	\( 2^{6} \cdot 7 \cdot 17^{2} \)	\( 2^{16} \cdot 7^{2} \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$1.714655819$	$1$		$17$	$81920$	$0.676221$	$275684/49$	$0.78154$	$2.72843$	$[0, 1, 0, -929, 8767]$	\(y^2=x^3+x^2-929x+8767\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[(-6, 119), (27, 64)]$
129472.v1	129472dj1	129472.v	129472dj	$2$	$2$	\( 2^{6} \cdot 7 \cdot 17^{2} \)	\( 2^{16} \cdot 7^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$7.562046420$	$1$		$3$	$1392640$	$2.092827$	$275684/49$	$0.78154$	$4.17257$	$[0, 1, 0, -268577, -44683553]$	\(y^2=x^3+x^2-268577x-44683553\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[(9889, 982072)]$
129472.db1	129472ce1	129472.db	129472ce	$2$	$2$	\( 2^{6} \cdot 7 \cdot 17^{2} \)	\( 2^{16} \cdot 7^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$1$	$1$		$1$	$81920$	$0.676221$	$275684/49$	$0.78154$	$2.72843$	$[0, -1, 0, -929, -8767]$	\(y^2=x^3-x^2-929x-8767\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[]$
129472.di1	129472i1	129472.di	129472i	$2$	$2$	\( 2^{6} \cdot 7 \cdot 17^{2} \)	\( 2^{16} \cdot 7^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$10.11269843$	$1$		$1$	$1392640$	$2.092827$	$275684/49$	$0.78154$	$4.17257$	$[0, -1, 0, -268577, 44683553]$	\(y^2=x^3-x^2-268577x+44683553\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[(124081/15, 26995904/15)]$
145656.l1	145656bc1	145656.l	145656bc	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$2.248624489$	$1$		$5$	$122880$	$0.878954$	$275684/49$	$0.78154$	$2.90603$	$[0, 0, 0, -2091, -30634]$	\(y^2=x^3-2091x-30634\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[(-34, 34)]$
145656.bc1	145656bk1	145656.bc	145656bk	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$1$	$4$	$2$	$1$	$2088960$	$2.295559$	$275684/49$	$0.78154$	$4.33586$	$[0, 0, 0, -604299, -150504842]$	\(y^2=x^3-604299x-150504842\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[]$
226576.r1	226576cq1	226576.r	226576cq	$2$	$2$	\( 2^{4} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{10} \cdot 7^{8} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$1$	$1$		$1$	$8355840$	$2.719208$	$275684/49$	$0.78154$	$4.59278$	$[0, 1, 0, -3290072, 1910872228]$	\(y^2=x^3+x^2-3290072x+1910872228\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[]$
226576.cy1	226576dl1	226576.cy	226576dl	$2$	$2$	\( 2^{4} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{10} \cdot 7^{8} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$1$	$1$		$1$	$491520$	$1.302603$	$275684/49$	$0.78154$	$3.21418$	$[0, -1, 0, -11384, 392960]$	\(y^2=x^3-x^2-11384x+392960\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[]$
291312.bd1	291312bd1	291312.bd	291312bd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$1.488153290$	$1$		$21$	$245760$	$0.878954$	$275684/49$	$0.78154$	$2.74594$	$[0, 0, 0, -2091, 30634]$	\(y^2=x^3-2091x+30634\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[(51, 238), (9, 112)]$
291312.fb1	291312fb1	291312.fb	291312fb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$5.374522983$	$1$		$3$	$4177920$	$2.295559$	$275684/49$	$0.78154$	$4.09700$	$[0, 0, 0, -604299, 150504842]$	\(y^2=x^3-604299x+150504842\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[(1171, 32382)]$
404600.d1	404600d1	404600.d	404600d	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{10} \cdot 5^{6} \cdot 7^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$1.752920227$	$1$		$5$	$655360$	$1.134367$	$275684/49$	$0.78154$	$2.91347$	$[0, 1, 0, -5808, 139888]$	\(y^2=x^3+x^2-5808x+139888\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[(3, 350)]$
404600.bw1	404600bw1	404600.bw	404600bw	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{10} \cdot 5^{6} \cdot 7^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$136$	$12$	$0$	$1$	$9$	$3$	$1$	$11141120$	$2.550972$	$275684/49$	$0.78154$	$4.23015$	$[0, -1, 0, -1678608, 697341212]$	\(y^2=x^3-x^2-1678608x+697341212\)	2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.?	$[]$