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
5610.bk2	5610bl1	5610.bk	5610bl	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{4} \cdot 5^{3} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$7480$	$12$	$0$	$0.124584519$	$1$		$19$	$10752$	$0.935544$	$448733772344879/527357952000$	$0.93700$	$3.91179$	$[1, 0, 0, 1595, 25025]$	\(y^2+xy=x^3+1595x+25025\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(20, 245)]$
16830.b2	16830s1	16830.b	16830s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$4.224917803$	$1$		$3$	$86016$	$1.484850$	$448733772344879/527357952000$	$0.93700$	$4.14755$	$[1, -1, 0, 14355, -675675]$	\(y^2+xy=x^3-x^2+14355x-675675\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(123, 1653)]$
28050.w2	28050p1	28050.w	28050p	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{4} \cdot 5^{9} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1.933699532$	$1$		$5$	$258048$	$1.740263$	$448733772344879/527357952000$	$0.93700$	$4.23994$	$[1, 1, 0, 39875, 3128125]$	\(y^2+xy=x^3+x^2+39875x+3128125\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(175, 3850)]$
44880.bg2	44880bs1	44880.bg	44880bs	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{26} \cdot 3^{4} \cdot 5^{3} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$2.173891062$	$1$		$5$	$258048$	$1.628691$	$448733772344879/527357952000$	$0.93700$	$3.92891$	$[0, -1, 0, 25520, -1601600]$	\(y^2=x^3-x^2+25520x-1601600\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(90, 1190)]$
61710.bl2	61710bl1	61710.bl	61710bl	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{14} \cdot 3^{4} \cdot 5^{3} \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$2.109867642$	$1$		$5$	$1290240$	$2.134491$	$448733772344879/527357952000$	$0.93700$	$4.36575$	$[1, 0, 1, 192992, -33115282]$	\(y^2+xy+y=x^3+192992x-33115282\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(274, 6215)]$
84150.gu2	84150ew1	84150.gu	84150ew	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{9} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$3.401883407$	$1$		$5$	$2064384$	$2.289570$	$448733772344879/527357952000$	$0.93700$	$4.41045$	$[1, -1, 1, 358870, -84100503]$	\(y^2+xy+y=x^3-x^2+358870x-84100503\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(753, 24375)]$
95370.ch2	95370bw1	95370.ch	95370bw	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{4} \cdot 5^{3} \cdot 11 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1$	$1$		$1$	$3096576$	$2.352150$	$448733772344879/527357952000$	$0.93700$	$4.42780$	$[1, 1, 1, 460949, 122486873]$	\(y^2+xy+y=x^3+x^2+460949x+122486873\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[]$
134640.ck2	134640cl1	134640.ck	134640cl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{26} \cdot 3^{10} \cdot 5^{3} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$11.23493733$	$1$		$1$	$2064384$	$2.177998$	$448733772344879/527357952000$	$0.93700$	$4.12157$	$[0, 0, 0, 229677, 43013522]$	\(y^2=x^3+229677x+43013522\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(126169/16, 68038173/16)]$
179520.d2	179520hs1	179520.d	179520hs	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{32} \cdot 3^{4} \cdot 5^{3} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$4.094870187$	$1$		$3$	$2064384$	$1.975264$	$448733772344879/527357952000$	$0.93700$	$3.82247$	$[0, -1, 0, 102079, 12710721]$	\(y^2=x^3-x^2+102079x+12710721\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(195, 6324)]$
179520.ge2	179520bw1	179520.ge	179520bw	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{32} \cdot 3^{4} \cdot 5^{3} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1$	$4$	$2$	$1$	$2064384$	$1.975264$	$448733772344879/527357952000$	$0.93700$	$3.82247$	$[0, 1, 0, 102079, -12710721]$	\(y^2=x^3+x^2+102079x-12710721\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[]$
185130.eh2	185130bp1	185130.eh	185130bp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 11^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1$	$1$		$1$	$10321920$	$2.683796$	$448733772344879/527357952000$	$0.93700$	$4.51378$	$[1, -1, 1, 1736932, 894112607]$	\(y^2+xy+y=x^3-x^2+1736932x+894112607\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[]$
224400.eq2	224400bg1	224400.eq	224400bg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{26} \cdot 3^{4} \cdot 5^{9} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1$	$1$		$1$	$6193152$	$2.433411$	$448733772344879/527357952000$	$0.93700$	$4.19945$	$[0, 1, 0, 637992, -198924012]$	\(y^2=x^3+x^2+637992x-198924012\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[]$
274890.ea2	274890ea1	274890.ea	274890ea	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{4} \cdot 5^{3} \cdot 7^{6} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$0.960726184$	$1$		$9$	$3096576$	$1.908499$	$448733772344879/527357952000$	$0.93700$	$3.62845$	$[1, 1, 1, 78154, -8505421]$	\(y^2+xy+y=x^3+x^2+78154x-8505421\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(321, 6895)]$
286110.dl2	286110dl1	286110.dl	286110dl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 11 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1$	$4$	$2$	$1$	$24772608$	$2.901455$	$448733772344879/527357952000$	$0.93700$	$4.56527$	$[1, -1, 0, 4148541, -3302997035]$	\(y^2+xy=x^3-x^2+4148541x-3302997035\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[]$
308550.fi2	308550fi1	308550.fi	308550fi	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{14} \cdot 3^{4} \cdot 5^{9} \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1.068183644$	$1$		$9$	$30965760$	$2.939209$	$448733772344879/527357952000$	$0.93700$	$4.57385$	$[1, 1, 1, 4824812, -4139410219]$	\(y^2+xy+y=x^3+x^2+4824812x-4139410219\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(1445, 75777)]$
476850.db2	476850db1	476850.db	476850db	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{4} \cdot 5^{9} \cdot 11 \cdot 17^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$12.19473763$	$1$		$9$	$74317824$	$3.156868$	$448733772344879/527357952000$	$0.93700$	$4.62133$	$[1, 0, 1, 11523724, 15287811698]$	\(y^2+xy+y=x^3+11523724x+15287811698\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(993, 165967), (-558, 93466)]$
493680.ch2	493680ch1	493680.ch	493680ch	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{26} \cdot 3^{4} \cdot 5^{3} \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1.458161934$	$1$		$7$	$30965760$	$2.827637$	$448733772344879/527357952000$	$0.93700$	$4.30774$	$[0, -1, 0, 3087880, 2119378032]$	\(y^2=x^3-x^2+3087880x+2119378032\)	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(-238, 37026)]$