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
4830.s2	4830t4	4830.s	4830t	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$19320$	$48$	$0$	$0.321506236$	$1$		$8$	$6144$	$0.718287$	$196416765680689/22365315000$	$0.91933$	$3.87985$	$[1, 1, 1, -1211, 14033]$	\(y^2+xy+y=x^3+x^2-1211x+14033\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 92.12.0.?, 184.24.0.?, $\ldots$	$[(9, 58)]$
14490.bd2	14490be3	14490.bd	14490be	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{3} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$0.528412838$	$1$		$8$	$49152$	$1.267593$	$196416765680689/22365315000$	$0.91933$	$4.12296$	$[1, -1, 0, -10899, -389795]$	\(y^2+xy=x^3-x^2-10899x-389795\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 184.12.0.?, 276.12.0.?, $\ldots$	$[(-49, 182)]$
24150.x2	24150bd3	24150.x	24150bd	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{10} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$0.986456608$	$1$		$6$	$147456$	$1.523006$	$196416765680689/22365315000$	$0.91933$	$4.21797$	$[1, 0, 1, -30276, 1814698]$	\(y^2+xy+y=x^3-30276x+1814698\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 168.12.0.?, 184.12.0.?, $\ldots$	$[(32, 921)]$
33810.db2	33810dg3	33810.db	33810dg	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{4} \cdot 7^{10} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$0.744318052$	$1$		$6$	$294912$	$1.691242$	$196416765680689/22365315000$	$0.91933$	$4.27546$	$[1, 0, 0, -59340, -4991400]$	\(y^2+xy=x^3-59340x-4991400\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 120.12.0.?, 184.12.0.?, $\ldots$	$[(-150, 810)]$
38640.cf2	38640cn3	38640.cf	38640cn	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{15} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.411434$	$196416765680689/22365315000$	$0.91933$	$3.90351$	$[0, 1, 0, -19376, -936876]$	\(y^2=x^3+x^2-19376x-936876\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 92.12.0.?, 184.24.0.?, $\ldots$	$[]$
72450.dq2	72450dm3	72450.dq	72450dm	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{3} \cdot 3^{10} \cdot 5^{10} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$2.207194349$	$1$		$6$	$1179648$	$2.072311$	$196416765680689/22365315000$	$0.91933$	$4.39291$	$[1, -1, 1, -272480, -48996853]$	\(y^2+xy+y=x^3-x^2-272480x-48996853\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 120.12.0.?, 184.12.0.?, $\ldots$	$[(-221, 735)]$
101430.bg2	101430bo3	101430.bg	101430bo	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{3} \cdot 3^{10} \cdot 5^{4} \cdot 7^{10} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$0$	$2359296$	$2.240547$	$196416765680689/22365315000$	$0.91933$	$4.43982$	$[1, -1, 0, -534060, 134767800]$	\(y^2+xy=x^3-x^2-534060x+134767800\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 168.12.0.?, 184.12.0.?, $\ldots$	$[]$
111090.ch2	111090cf3	111090.ch	111090cf	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{3} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$19320$	$48$	$0$	$1$	$1$		$0$	$3244032$	$2.286034$	$196416765680689/22365315000$	$0.91933$	$4.45204$	$[1, 1, 1, -640630, -177147973]$	\(y^2+xy+y=x^3+x^2-640630x-177147973\)	2.3.0.a.1, 4.12.0-4.c.1.2, 184.24.0.?, 840.24.0.?, 19320.48.0.?	$[]$
115920.cn2	115920ef3	115920.cn	115920ef	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{15} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1.108974448$	$1$		$27$	$1179648$	$1.960741$	$196416765680689/22365315000$	$0.91933$	$4.10103$	$[0, 0, 0, -174387, 25121266]$	\(y^2=x^3-174387x+25121266\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 184.12.0.?, 276.12.0.?, $\ldots$	$[(57, 3920), (377, 3600)]$
154560.ch2	154560cs4	154560.ch	154560cs	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{21} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$1179648$	$1.758009$	$196416765680689/22365315000$	$0.91933$	$3.79868$	$[0, -1, 0, -77505, -7417503]$	\(y^2=x^3-x^2-77505x-7417503\)	2.3.0.a.1, 4.12.0-4.c.1.2, 184.24.0.?, 840.24.0.?, 19320.48.0.?	$[]$
154560.ih2	154560eh3	154560.ih	154560eh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{21} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 23 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$19320$	$48$	$0$	$1$	$1$		$3$	$1179648$	$1.758009$	$196416765680689/22365315000$	$0.91933$	$3.79868$	$[0, 1, 0, -77505, 7417503]$	\(y^2=x^3+x^2-77505x+7417503\)	2.3.0.a.1, 4.12.0-4.c.1.1, 184.24.0.?, 840.24.0.?, 19320.48.0.?	$[]$
169050.g2	169050ib4	169050.g	169050ib	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{10} \cdot 7^{10} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$3.568014037$	$1$		$4$	$7077888$	$2.495960$	$196416765680689/22365315000$	$0.91933$	$4.50603$	$[1, 1, 0, -1483500, -623925000]$	\(y^2+xy=x^3+x^2-1483500x-623925000\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 184.12.0.?, 280.12.0.?, $\ldots$	$[(-725, 8800)]$
193200.db2	193200ed4	193200.db	193200ed	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{15} \cdot 3^{4} \cdot 5^{10} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1.274442505$	$1$		$7$	$3538944$	$2.216152$	$196416765680689/22365315000$	$0.91933$	$4.18073$	$[0, -1, 0, -484408, -116140688]$	\(y^2=x^3-x^2-484408x-116140688\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 168.12.0.?, 184.12.0.?, $\ldots$	$[(-468, 2800)]$
270480.en2	270480en3	270480.en	270480en	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{15} \cdot 3^{4} \cdot 5^{4} \cdot 7^{10} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1.982572031$	$1$		$7$	$7077888$	$2.384392$	$196416765680689/22365315000$	$0.91933$	$4.22967$	$[0, -1, 0, -949440, 319449600]$	\(y^2=x^3-x^2-949440x+319449600\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.2, 120.12.0.?, 184.12.0.?, $\ldots$	$[(362, 4802)]$
333270.d2	333270d3	333270.d	333270d	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{3} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$2.160889352$	$1$		$2$	$25952256$	$2.835342$	$196416765680689/22365315000$	$0.91933$	$4.58577$	$[1, -1, 0, -5765670, 4777229596]$	\(y^2+xy=x^3-x^2-5765670x+4777229596\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 184.12.0.?, 280.12.0.?, $\ldots$	$[(-2455, 65501)]$
463680.df2	463680df3	463680.df	463680df	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{21} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1.746609584$	$1$		$7$	$9437184$	$2.307316$	$196416765680689/22365315000$	$0.91933$	$3.98404$	$[0, 0, 0, -697548, 200970128]$	\(y^2=x^3-697548x+200970128\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 184.12.0.?, 280.12.0.?, $\ldots$	$[(658, 5184)]$
463680.eg2	463680eg4	463680.eg	463680eg	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{21} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$9437184$	$2.307316$	$196416765680689/22365315000$	$0.91933$	$3.98404$	$[0, 0, 0, -697548, -200970128]$	\(y^2=x^3-697548x-200970128\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 184.12.0.?, 280.12.0.?, $\ldots$	$[]$