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
10626.o2	10626s1	10626.o	10626s	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{3} \cdot 11^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$7084$	$12$	$0$	$0.093353212$	$1$		$21$	$27648$	$1.109035$	$6360314548472639/4097346156288$	$0.94781$	$3.92499$	$[1, 0, 0, 3860, 31376]$	\(y^2+xy=x^3+3860x+31376\)	2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?	$[(38, 464)]$
31878.w2	31878o1	31878.w	31878o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{8} \cdot 3^{12} \cdot 7^{3} \cdot 11^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.658342$	$6360314548472639/4097346156288$	$0.94781$	$4.14483$	$[1, -1, 0, 34740, -847152]$	\(y^2+xy=x^3-x^2+34740x-847152\)	2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?	$[]$
74382.bj2	74382bg1	74382.bj	74382bg	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{9} \cdot 11^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1$	$1$		$1$	$1327104$	$2.081989$	$6360314548472639/4097346156288$	$0.94781$	$4.28496$	$[1, 1, 1, 189139, -10572829]$	\(y^2+xy+y=x^3+x^2+189139x-10572829\)	2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?	$[]$
85008.b2	85008bf1	85008.b	85008bf	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{20} \cdot 3^{6} \cdot 7^{3} \cdot 11^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1.412764694$	$1$		$7$	$663552$	$1.802183$	$6360314548472639/4097346156288$	$0.94781$	$3.93874$	$[0, -1, 0, 61760, -2008064]$	\(y^2=x^3-x^2+61760x-2008064\)	2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?	$[(160, 3456)]$
116886.j2	116886n1	116886.j	116886n	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{3} \cdot 11^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1.331940976$	$1$		$7$	$3317760$	$2.307983$	$6360314548472639/4097346156288$	$0.94781$	$4.35139$	$[1, 0, 1, 467057, -41294398]$	\(y^2+xy+y=x^3+467057x-41294398\)	2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?	$[(340, 12353)]$
223146.a2	223146ci1	223146.a	223146ci	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 2^{8} \cdot 3^{12} \cdot 7^{9} \cdot 11^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1$	$1$		$1$	$10616832$	$2.631298$	$6360314548472639/4097346156288$	$0.94781$	$4.43795$	$[1, -1, 0, 1702251, 287168629]$	\(y^2+xy=x^3-x^2+1702251x+287168629\)	2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?	$[]$
244398.bs2	244398bs1	244398.bs	244398bs	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{3} \cdot 11^{2} \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1$	$1$		$1$	$14598144$	$2.676785$	$6360314548472639/4097346156288$	$0.94781$	$4.44941$	$[1, 0, 0, 2041929, -377667927]$	\(y^2+xy=x^3+2041929x-377667927\)	2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?	$[]$
255024.fd2	255024fd1	255024.fd	255024fd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{20} \cdot 3^{12} \cdot 7^{3} \cdot 11^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1$	$4$	$2$	$1$	$5308416$	$2.351490$	$6360314548472639/4097346156288$	$0.94781$	$4.12064$	$[0, 0, 0, 555837, 53661890]$	\(y^2=x^3+555837x+53661890\)	2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?	$[]$
265650.bf2	265650bf1	265650.bf	265650bf	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$2.514610800$	$1$		$3$	$2211840$	$1.913755$	$6360314548472639/4097346156288$	$0.94781$	$3.68661$	$[1, 1, 0, 96500, 3922000]$	\(y^2+xy=x^3+x^2+96500x+3922000\)	2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?	$[(664, 18676)]$
340032.dg2	340032dg1	340032.dg	340032dg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{26} \cdot 3^{6} \cdot 7^{3} \cdot 11^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1$	$1$		$1$	$5308416$	$2.148758$	$6360314548472639/4097346156288$	$0.94781$	$3.83656$	$[0, -1, 0, 247039, 15817473]$	\(y^2=x^3-x^2+247039x+15817473\)	2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?	$[]$
340032.gl2	340032gl1	340032.gl	340032gl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{26} \cdot 3^{6} \cdot 7^{3} \cdot 11^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$4.027202537$	$1$		$3$	$5308416$	$2.148758$	$6360314548472639/4097346156288$	$0.94781$	$3.83656$	$[0, 1, 0, 247039, -15817473]$	\(y^2=x^3+x^2+247039x-15817473\)	2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?	$[(613, 19140)]$
350658.eo2	350658eo1	350658.eo	350658eo	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{12} \cdot 7^{3} \cdot 11^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$6.818160288$	$1$		$1$	$26542080$	$2.857288$	$6360314548472639/4097346156288$	$0.94781$	$4.49325$	$[1, -1, 1, 4203517, 1114948739]$	\(y^2+xy+y=x^3-x^2+4203517x+1114948739\)	2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?	$[(7011/7, 14197630/7)]$