Elliptic curve search results

Results (18 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
11970.y4	11970j3	11970.y	11970j	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{18} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$2280$	$96$	$1$	$1$	$1$		$1$	$186624$	$2.150097$	$80956273702840173/55667967918080$	$0.99318$	$5.19908$	$[1, -1, 0, 243336, 19983680]$	\(y^2+xy=x^3-x^2+243336x+19983680\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 30.48.0-30.b.1.3, 456.48.0.?, $\ldots$	$[]$
11970.bm4	11970bg1	11970.bm	11970bg	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{18} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 19^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$2280$	$96$	$1$	$1$	$1$		$5$	$62208$	$1.600792$	$80956273702840173/55667967918080$	$0.99318$	$4.49710$	$[1, -1, 1, 27037, -749149]$	\(y^2+xy+y=x^3-x^2+27037x-749149\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 30.48.0-30.b.1.4, 456.48.0.?, $\ldots$	$[]$
59850.v4	59850e1	59850.v	59850e	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{18} \cdot 3^{3} \cdot 5^{7} \cdot 7^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1$	$1$		$1$	$1492992$	$2.405510$	$80956273702840173/55667967918080$	$0.99318$	$4.71700$	$[1, -1, 0, 675933, -92967659]$	\(y^2+xy=x^3-x^2+675933x-92967659\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 15.8.0-3.a.1.2, 30.48.0-30.b.1.1, $\ldots$	$[]$
59850.eg4	59850dt3	59850.eg	59850dt	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{18} \cdot 3^{9} \cdot 5^{7} \cdot 7^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1.576675680$	$1$		$7$	$4478976$	$2.954815$	$80956273702840173/55667967918080$	$0.99318$	$5.31627$	$[1, -1, 1, 6083395, 2504043397]$	\(y^2+xy+y=x^3-x^2+6083395x+2504043397\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 15.8.0-3.a.1.1, 30.48.0-30.b.1.2, $\ldots$	$[(-185, 37136)]$
83790.o4	83790c3	83790.o	83790c	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{18} \cdot 3^{9} \cdot 5 \cdot 7^{12} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15960$	$96$	$1$	$1$	$1$		$1$	$8957952$	$3.123051$	$80956273702840173/55667967918080$	$0.99318$	$5.33656$	$[1, -1, 0, 11923455, -6878249155]$	\(y^2+xy=x^3-x^2+11923455x-6878249155\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 30.24.0.b.1, $\ldots$	$[]$
83790.fd4	83790dc1	83790.fd	83790dc	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{18} \cdot 3^{3} \cdot 5 \cdot 7^{12} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15960$	$96$	$1$	$1$	$1$		$1$	$2985984$	$2.573746$	$80956273702840173/55667967918080$	$0.99318$	$4.75509$	$[1, -1, 1, 1324828, 254308359]$	\(y^2+xy+y=x^3-x^2+1324828x+254308359\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 30.24.0.b.1, $\ldots$	$[]$
95760.r4	95760bs1	95760.r	95760bs	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{30} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1$	$1$		$1$	$1492992$	$2.293938$	$80956273702840173/55667967918080$	$0.99318$	$4.40698$	$[0, 0, 0, 432597, 47512922]$	\(y^2=x^3+432597x+47512922\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0.b.1, $\ldots$	$[]$
95760.dq4	95760cj3	95760.dq	95760cj	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{30} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$12.32190410$	$1$		$1$	$4478976$	$2.843243$	$80956273702840173/55667967918080$	$0.99318$	$4.98169$	$[0, 0, 0, 3893373, -1282848894]$	\(y^2=x^3+3893373x-1282848894\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0.b.1, $\ldots$	$[(6949959/145, 19341765198/145)]$
227430.z4	227430fz1	227430.z	227430fz	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{18} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$2.233859336$	$1$		$3$	$22394880$	$3.073009$	$80956273702840173/55667967918080$	$0.99318$	$4.85587$	$[1, -1, 0, 9760470, 5089608820]$	\(y^2+xy=x^3-x^2+9760470x+5089608820\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 30.24.0.b.1, $\ldots$	$[(8517, 835969)]$
227430.fv4	227430ck3	227430.fv	227430ck	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{18} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1.888708418$	$1$		$3$	$67184640$	$3.622318$	$80956273702840173/55667967918080$	$0.99318$	$5.39027$	$[1, -1, 1, 87844228, -137507282369]$	\(y^2+xy+y=x^3-x^2+87844228x-137507282369\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 30.24.0.b.1, $\ldots$	$[(10759, 1427429)]$
383040.bt4	383040bt3	383040.bt	383040bt	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{36} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$13.99292031$	$1$		$1$	$35831808$	$3.189819$	$80956273702840173/55667967918080$	$0.99318$	$4.76800$	$[0, 0, 0, 15573492, -10262791152]$	\(y^2=x^3+15573492x-10262791152\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 30.24.0.b.1, $\ldots$	$[(15736309/153, 80884122767/153)]$
383040.fk4	383040fk3	383040.fk	383040fk	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{36} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1$	$1$		$1$	$35831808$	$3.189819$	$80956273702840173/55667967918080$	$0.99318$	$4.76800$	$[0, 0, 0, 15573492, 10262791152]$	\(y^2=x^3+15573492x+10262791152\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 30.24.0.b.1, $\ldots$	$[]$
383040.iy4	383040iy1	383040.iy	383040iy	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{36} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$19.12841901$	$1$		$5$	$11943936$	$2.640511$	$80956273702840173/55667967918080$	$0.99318$	$4.25526$	$[0, 0, 0, 1730388, 380103376]$	\(y^2=x^3+1730388x+380103376\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 30.24.0.b.1, $\ldots$	$[(1136, 61740), (33205/3, 6445313/3)]$
383040.na4	383040na1	383040.na	383040na	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{36} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$3.907520739$	$1$		$3$	$11943936$	$2.640511$	$80956273702840173/55667967918080$	$0.99318$	$4.25526$	$[0, 0, 0, 1730388, -380103376]$	\(y^2=x^3+1730388x-380103376\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 30.24.0.b.1, $\ldots$	$[(3064, 183540)]$
418950.em4	418950em1	418950.em	418950em	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{18} \cdot 3^{3} \cdot 5^{7} \cdot 7^{12} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15960$	$96$	$1$	$1$	$1$		$1$	$71663616$	$3.378464$	$80956273702840173/55667967918080$	$0.99318$	$4.90986$	$[1, -1, 0, 33120708, 31821665616]$	\(y^2+xy=x^3-x^2+33120708x+31821665616\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 42.24.0-6.a.1.1, $\ldots$	$[]$
418950.nd4	418950nd3	418950.nd	418950nd	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{18} \cdot 3^{9} \cdot 5^{7} \cdot 7^{12} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15960$	$96$	$1$	$3.909811003$	$1$		$5$	$214990848$	$3.927773$	$80956273702840173/55667967918080$	$0.99318$	$5.41905$	$[1, -1, 1, 298086370, -859483058003]$	\(y^2+xy+y=x^3-x^2+298086370x-859483058003\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 42.24.0-6.a.1.2, $\ldots$	$[(5849, 1038275)]$
478800.lf4	478800lf3	478800.lf	478800lf	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{30} \cdot 3^{9} \cdot 5^{7} \cdot 7^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$3.860260364$	$1$		$5$	$107495424$	$3.647964$	$80956273702840173/55667967918080$	$0.99318$	$5.10700$	$[0, 0, 0, 97334325, -160356111750]$	\(y^2=x^3+97334325x-160356111750\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 30.24.0.b.1, $\ldots$	$[(2631, 337554)]$
478800.lm4	478800lm1	478800.lm	478800lm	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{30} \cdot 3^{3} \cdot 5^{7} \cdot 7^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1.382571078$	$1$		$7$	$35831808$	$3.098656$	$80956273702840173/55667967918080$	$0.99318$	$4.60301$	$[0, 0, 0, 10814925, 5939115250]$	\(y^2=x^3+10814925x+5939115250\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 30.24.0.b.1, $\ldots$	$[(-345, 46550)]$