Elliptic curve search results

Results (15 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
210406.l1	210406v1	210406.l	210406v	$1$	$1$	\( 2 \cdot 7^{2} \cdot 19 \cdot 113 \)	\( 2^{25} \cdot 7^{6} \cdot 19^{7} \cdot 113 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17176$	$2$	$0$	$1$	$324$	$2, 3$	$0$	$820108800$	$4.514740$	$175118494194706007910209553147321/3389249508578689024$	$1.05989$	$7.00987$	$[1, -1, 0, -57112632775, -5253457271245891]$	\(y^2+xy=x^3-x^2-57112632775x-5253457271245891\)	17176.2.0.?	$[]$
246099.a1	246099a3	246099.a	246099a	$3$	$9$	\( 3 \cdot 7 \cdot 11719 \)	\( - 3 \cdot 7 \cdot 11719 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.3	3B.1.2	$1476594$	$144$	$3$	$1$	$324$	$2, 3$	$0$	$11932272$	$2.845150$	$-1421091015628170360787567869952/246099$	$0.99772$	$5.59303$	$[0, 1, 1, -234224719, -1379817913880]$	\(y^2+y=x^3+x^2-234224719x-1379817913880\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 105471.72.0.?, 492198.16.0.?, 1476594.144.3.?	$[]$
384400.cx1	384400cx2	384400.cx	384400cx	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 31^{2} \)	\( 2^{11} \cdot 5^{12} \cdot 31^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$248$	$12$	$0$	$1$	$324$	$2, 3$	$1$	$1682178048$	$5.010201$	$15999976000011999998/15625$	$1.05161$	$7.18587$	$[0, -1, 0, -496516418408, -134662911752880688]$	\(y^2=x^3-x^2-496516418408x-134662911752880688\)	2.3.0.a.1, 8.6.0.e.1, 124.6.0.?, 248.12.0.?	$[]$
479024.bi1	479024bi3	479024.bi	479024bi	$3$	$9$	\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 47 \)	\( - 2^{30} \cdot 7^{9} \cdot 13^{2} \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$153972$	$144$	$3$	$1$	$324$	$2, 3$	$0$	$3511517184$	$5.361115$	$-21345032063621264911802983894803913/714197958656$	$1.03974$	$7.57210$	$[0, 1, 0, -4530788217944, -3712008260508613612]$	\(y^2=x^3+x^2-4530788217944x-3712008260508613612\)	3.4.0.a.1, 9.12.0.a.1, 84.8.0.?, 117.36.0.?, 252.24.0.?, $\ldots$	$[]$
480090.g2	480090g3	480090.g	480090g	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 1231 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{36} \cdot 13 \cdot 1231 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$640120$	$48$	$0$	$1$	$324$	$2, 3$	$0$	$6377803776$	$5.496758$	$646640482028937658032717864767189546569/274709701538085937500000000000000000$	$1.05767$	$6.83127$	$[1, 0, 1, -180155030069, 15176686519059392]$	\(y^2+xy+y=x^3-180155030069x+15176686519059392\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 64012.12.0.?, $\ldots$	$[]$
480090.g4	480090g1	480090.g	480090g	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 1231 \)	\( - 2^{68} \cdot 3^{2} \cdot 5^{9} \cdot 13 \cdot 1231 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.12	2B	$640120$	$48$	$0$	$1$	$324$	$2, 3$	$1$	$1594450944$	$4.803612$	$265206644930478637778142103991/83025912772005174706176000000000$	$1.06318$	$6.18813$	$[1, 0, 1, 133850571, -438393941392448]$	\(y^2+xy+y=x^3+133850571x-438393941392448\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$	$[]$
498810.o3	498810o3	498810.o	498810o	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 1279 \)	\( - 2^{15} \cdot 3 \cdot 5^{20} \cdot 13^{8} \cdot 1279 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$153480$	$48$	$0$	$1$	$324$	$2, 3$	$0$	$1372876800$	$4.647591$	$-15019663701722248072195549886518489/9781121176490625000000000000000$	$1.00471$	$6.05554$	$[1, 0, 1, -5140185974, -206789461281784]$	\(y^2+xy+y=x^3-5140185974x-206789461281784\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 15348.12.0.?, $\ldots$	$[]$
28882837.a1	-	28882837.a	-	$1$	$1$	\( 28882837 \)	\( -28882837 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$115531348$	$2$	$0$	$1$	$324$	$2, 3$	$0$		$2.985229$	$-5242454825906300841082606315689/28882837$	$0.91726$	$4.11755$	$[1, -1, 0, -361912565, -2649956701842]$	\(y^2+xy=x^3-x^2-361912565x-2649956701842\)	115531348.2.0.?	$[]$
67815821.a1	-	67815821.a	-	$1$	$1$	\( 67815821 \)	\( 67815821 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$135631642$	$2$	$0$	$1$	$324$	$2, 3$	$0$		$2.099873$	$23436921974439576388390912/67815821$	$0.85240$	$3.23954$	$[0, -1, 1, -5962004, -5601218087]$	\(y^2+y=x^3-x^2-5962004x-5601218087\)	135631642.2.0.?	$[]$
90682883.a1	-	90682883.a	-	$1$	$1$	\( 90682883 \)	\( -90682883 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$181365766$	$2$	$0$	$1$	$324$	$2, 3$	$0$		$2.764854$	$-225682592306357787001344000000/90682883$	$0.92671$	$3.68877$	$[0, 0, 1, -126840550, -549838680107]$	\(y^2+y=x^3-126840550x-549838680107\)	181365766.2.0.?	$[]$
129348169.b1	-	129348169.b	-	$1$	$1$	\( 129348169 \)	\( -129348169 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$517392676$	$2$	$0$	$1$	$324$	$2, 3$	$0$		$2.410774$	$-1631183284344803026699088137/129348169$	$0.86206$	$3.35470$	$[1, 1, 0, -24524096, -46755484723]$	\(y^2+xy=x^3+x^2-24524096x-46755484723\)	517392676.2.0.?	$[]$
167381267.c1	-	167381267.c	-	$1$	$1$	\( 167381267 \)	\( -167381267 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$334762534$	$2$	$0$	$1$	$324$	$2, 3$	$0$		$1.480789$	$-2499747974862737747968/167381267$	$0.79235$	$2.60198$	$[0, 1, 1, -282742, -57961701]$	\(y^2+y=x^3+x^2-282742x-57961701\)	334762534.2.0.?	$[]$
245817107.a1	-	245817107.a	-	$1$	$1$	\( 245817107 \)	\( -245817107 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$491634214$	$2$	$0$	$1$	$324$	$2, 3$	$0$		$3.510735$	$-4741187214957894593073687232000000/245817107$	$0.92575$	$4.01352$	$[0, -1, 1, -3499890558, -79693601211933]$	\(y^2+y=x^3-x^2-3499890558x-79693601211933\)	491634214.2.0.?	$[]$
251276723.b1	-	251276723.b	-	$1$	$1$	\( 251276723 \)	\( -251276723 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$502553446$	$2$	$0$	$1$	$324$	$2, 3$	$0$		$1.797737$	$-242834399016846456877056/251276723$	$0.81734$	$2.78392$	$[0, 0, 1, -1299757, -570349889]$	\(y^2+y=x^3-1299757x-570349889\)	502553446.2.0.?	$[]$
292745779.a1	-	292745779.a	-	$1$	$1$	\( 292745779 \)	\( -292745779 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$585491558$	$2$	$0$	$1$	$324$	$2, 3$	$0$		$2.024620$	$-6176655163517297990053888/292745779$	$0.84822$	$2.92810$	$[0, -1, 1, -3822462, -2875216289]$	\(y^2+y=x^3-x^2-3822462x-2875216289\)	585491558.2.0.?	$[]$