Elliptic curve search results

Results (22 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
11424.i1	11424e2	11424.i	11424e	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 17 \)	\( 2^{9} \cdot 3^{6} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1.216250095$	$1$		$3$	$23040$	$1.203802$	$42852953779784/24786408969$	$1.07719$	$4.02710$	$[0, -1, 0, -5832, 5832]$	\(y^2=x^3-x^2-5832x+5832\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-27, 378)]$
11424.t1	11424g2	11424.t	11424g	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 17 \)	\( 2^{9} \cdot 3^{6} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$0.854268784$	$1$		$7$	$23040$	$1.203802$	$42852953779784/24786408969$	$1.07719$	$4.02710$	$[0, 1, 0, -5832, -5832]$	\(y^2=x^3+x^2-5832x-5832\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-18, 306)]$
22848.g1	22848by2	22848.g	22848by	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \)	\( 2^{15} \cdot 3^{6} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$2.062041843$	$1$		$3$	$92160$	$1.550377$	$42852953779784/24786408969$	$1.07719$	$4.16335$	$[0, -1, 0, -23329, -23327]$	\(y^2=x^3-x^2-23329x-23327\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(271, 3672)]$
22848.bw1	22848cx2	22848.bw	22848cx	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \)	\( 2^{15} \cdot 3^{6} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$0.203015845$	$1$		$15$	$92160$	$1.550377$	$42852953779784/24786408969$	$1.07719$	$4.16335$	$[0, 1, 0, -23329, 23327]$	\(y^2=x^3+x^2-23329x+23327\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-97, 1176)]$
34272.g1	34272be2	34272.g	34272be	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( 2^{9} \cdot 3^{12} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$2.478038880$	$1$		$5$	$184320$	$1.753109$	$42852953779784/24786408969$	$1.07719$	$4.23467$	$[0, 0, 0, -52491, 104974]$	\(y^2=x^3-52491x+104974\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(345, 4802)]$
34272.l1	34272bj2	34272.l	34272bj	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( 2^{9} \cdot 3^{12} \cdot 7^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.753109$	$42852953779784/24786408969$	$1.07719$	$4.23467$	$[0, 0, 0, -52491, -104974]$	\(y^2=x^3-52491x-104974\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
68544.ds1	68544dm2	68544.ds	68544dm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( 2^{15} \cdot 3^{12} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$3.979593495$	$1$		$3$	$737280$	$2.099682$	$42852953779784/24786408969$	$1.07719$	$4.34456$	$[0, 0, 0, -209964, 839792]$	\(y^2=x^3-209964x+839792\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(854, 21080)]$
68544.ed1	68544ek2	68544.ed	68544ek	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( 2^{15} \cdot 3^{12} \cdot 7^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$737280$	$2.099682$	$42852953779784/24786408969$	$1.07719$	$4.34456$	$[0, 0, 0, -209964, -839792]$	\(y^2=x^3-209964x-839792\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
79968.j1	79968j2	79968.j	79968j	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( 2^{9} \cdot 3^{6} \cdot 7^{12} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$1105920$	$2.176758$	$42852953779784/24786408969$	$1.07719$	$4.36716$	$[0, -1, 0, -285784, 1428820]$	\(y^2=x^3-x^2-285784x+1428820\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
79968.bs1	79968y2	79968.bs	79968y	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( 2^{9} \cdot 3^{6} \cdot 7^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$2.316766160$	$1$		$3$	$1105920$	$2.176758$	$42852953779784/24786408969$	$1.07719$	$4.36716$	$[0, 1, 0, -285784, -1428820]$	\(y^2=x^3+x^2-285784x-1428820\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-481, 4998)]$
159936.ee1	159936eo2	159936.ee	159936eo	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( 2^{15} \cdot 3^{6} \cdot 7^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$2.636430580$	$1$		$3$	$4423680$	$2.523331$	$42852953779784/24786408969$	$1.07719$	$4.46162$	$[0, -1, 0, -1143137, -10287423]$	\(y^2=x^3-x^2-1143137x-10287423\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-859, 18360)]$
159936.jj1	159936bz2	159936.jj	159936bz	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( 2^{15} \cdot 3^{6} \cdot 7^{12} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$4423680$	$2.523331$	$42852953779784/24786408969$	$1.07719$	$4.46162$	$[0, 1, 0, -1143137, 10287423]$	\(y^2=x^3+x^2-1143137x+10287423\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
194208.h1	194208bz2	194208.h	194208bz	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( 2^{9} \cdot 3^{6} \cdot 7^{6} \cdot 17^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$2.818229772$	$1$		$13$	$6635520$	$2.620411$	$42852953779784/24786408969$	$1.07719$	$4.48615$	$[0, -1, 0, -1685544, -18539532]$	\(y^2=x^3-x^2-1685544x-18539532\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-844, 28322), (13317, 1529388)]$
194208.bo1	194208bm2	194208.bo	194208bm	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( 2^{9} \cdot 3^{6} \cdot 7^{6} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$6635520$	$2.620411$	$42852953779784/24786408969$	$1.07719$	$4.48615$	$[0, 1, 0, -1685544, 18539532]$	\(y^2=x^3+x^2-1685544x+18539532\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
239904.db1	239904db2	239904.db	239904db	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{9} \cdot 3^{12} \cdot 7^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$9.390864866$	$1$		$1$	$8847360$	$2.726063$	$42852953779784/24786408969$	$1.07719$	$4.51197$	$[0, 0, 0, -2572059, -36006082]$	\(y^2=x^3-2572059x-36006082\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-48439/7, 13462742/7)]$
239904.dh1	239904dh2	239904.dh	239904dh	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{9} \cdot 3^{12} \cdot 7^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$20.55918281$	$1$		$1$	$8847360$	$2.726063$	$42852953779784/24786408969$	$1.07719$	$4.51197$	$[0, 0, 0, -2572059, 36006082]$	\(y^2=x^3-2572059x+36006082\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-13661352446/3405, 1493229829077658/3405)]$
285600.cx1	285600cx2	285600.cx	285600cx	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{9} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1.064770992$	$1$		$7$	$2949120$	$2.008522$	$42852953779784/24786408969$	$1.07719$	$3.76393$	$[0, -1, 0, -145808, -437388]$	\(y^2=x^3-x^2-145808x-437388\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-52, 2646)]$
285600.ds1	285600ds2	285600.ds	285600ds	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{9} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$3.071135882$	$1$		$3$	$2949120$	$2.008522$	$42852953779784/24786408969$	$1.07719$	$3.76393$	$[0, 1, 0, -145808, 437388]$	\(y^2=x^3+x^2-145808x+437388\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(403, 2700)]$
388416.dd1	388416dd2	388416.dd	388416dd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( 2^{15} \cdot 3^{6} \cdot 7^{6} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$26542080$	$2.966984$	$42852953779784/24786408969$	$1.07719$	$4.56768$	$[0, -1, 0, -6742177, 155058433]$	\(y^2=x^3-x^2-6742177x+155058433\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
388416.hs1	388416hs2	388416.hs	388416hs	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( 2^{15} \cdot 3^{6} \cdot 7^{6} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$26542080$	$2.966984$	$42852953779784/24786408969$	$1.07719$	$4.56768$	$[0, 1, 0, -6742177, -155058433]$	\(y^2=x^3+x^2-6742177x-155058433\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
479808.do1	479808do2	479808.do	479808do	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{15} \cdot 3^{12} \cdot 7^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$5.040127536$	$1$		$3$	$35389440$	$3.072636$	$42852953779784/24786408969$	$1.07719$	$4.59082$	$[0, 0, 0, -10288236, 288048656]$	\(y^2=x^3-10288236x+288048656\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-2947, 70805)]$
479808.em1	479808em2	479808.em	479808em	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{15} \cdot 3^{12} \cdot 7^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$3.807800658$	$1$		$3$	$35389440$	$3.072636$	$42852953779784/24786408969$	$1.07719$	$4.59082$	$[0, 0, 0, -10288236, -288048656]$	\(y^2=x^3-10288236x-288048656\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-3178, 17640)]$