Elliptic curve search results

Results (10 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
13110.bj2	13110bh1	13110.bj	13110bh	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19 \cdot 23 \)	\( - 2^{62} \cdot 3^{2} \cdot 5 \cdot 19 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$6944000$	$3.920914$	$-1095248516670909925403006195052049/2085842527704615412039680$	$1.04388$	$8.02397$	$[1, 0, 0, -2147482601, 38303748741465]$	\(y^2+xy=x^3-2147482601x+38303748741465\)	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[]$
39330.ba2	39330ba1	39330.ba	39330ba	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \cdot 23 \)	\( - 2^{62} \cdot 3^{8} \cdot 5 \cdot 19 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$200.4523768$	$1$		$1$	$55552000$	$4.470222$	$-1095248516670909925403006195052049/2085842527704615412039680$	$1.04388$	$7.81380$	$[1, -1, 0, -19327343409, -1034201216019555]$	\(y^2+xy=x^3-x^2-19327343409x-1034201216019555\)	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[(4400866876149237507797115201621642890262569288437377422985689957377985288434361534305291/114210891823619945341378691530180908718707, 261409563080577454738422270798394336194768359155206298619018818772231935012683381550779673315463118311454984293068410607727502277987/114210891823619945341378691530180908718707)]$
65550.e2	65550k1	65550.e	65550k	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \cdot 23 \)	\( - 2^{62} \cdot 3^{2} \cdot 5^{7} \cdot 19 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$30.61988277$	$1$		$1$	$166656000$	$4.725632$	$-1095248516670909925403006195052049/2085842527704615412039680$	$1.04388$	$7.73025$	$[1, 1, 0, -53687065025, 4787968592683125]$	\(y^2+xy=x^3+x^2-53687065025x+4787968592683125\)	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[(1272650628197475/103589, 10416695878743286422750/103589)]$
104880.k2	104880bg1	104880.k	104880bg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19 \cdot 23 \)	\( - 2^{74} \cdot 3^{2} \cdot 5 \cdot 19 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$175.0566415$	$1$		$1$	$166656000$	$4.614059$	$-1095248516670909925403006195052049/2085842527704615412039680$	$1.04388$	$7.30016$	$[0, -1, 0, -34359721616, -2451439919453760]$	\(y^2=x^3-x^2-34359721616x-2451439919453760\)	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[(48321949077961544740057597596045668333236869500718623514374521193556053980921/156191653623445198152736556120343099, 10573952204928732655364703153516585165860407240206328316153337323787090884192591185787041557744318261249414482459332/156191653623445198152736556120343099)]$
196650.ck2	196650p1	196650.ck	196650p	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 23 \)	\( - 2^{62} \cdot 3^{8} \cdot 5^{7} \cdot 19 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$1333248000$	$5.274940$	$-1095248516670909925403006195052049/2085842527704615412039680$	$1.04388$	$7.57431$	$[1, -1, 1, -483183585230, -129275635186029603]$	\(y^2+xy+y=x^3-x^2-483183585230x-129275635186029603\)	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[]$
249090.i2	249090i1	249090.i	249090i	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 23 \)	\( - 2^{62} \cdot 3^{2} \cdot 5 \cdot 19^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$9$	$3$	$1$	$2499840000$	$5.393135$	$-1095248516670909925403006195052049/2085842527704615412039680$	$1.04388$	$7.54436$	$[1, 1, 0, -775241218968, -262726963100146368]$	\(y^2+xy=x^3+x^2-775241218968x-262726963100146368\)	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[]$
301530.di2	301530di1	301530.di	301530di	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19 \cdot 23^{2} \)	\( - 2^{62} \cdot 3^{2} \cdot 5 \cdot 19 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$117.0278567$	$1$		$1$	$3666432000$	$5.488663$	$-1095248516670909925403006195052049/2085842527704615412039680$	$1.04388$	$7.52097$	$[1, 0, 0, -1136018295940, -466043982973996528]$	\(y^2+xy=x^3-1136018295940x-466043982973996528\)	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[(1429207910927071263265056668434545527834915250550191688/894987213844947588063147, 1279253242262526940144007528669230254400179978881235926863015216406885267074558324/894987213844947588063147)]$
314640.ds2	314640ds1	314640.ds	314640ds	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19 \cdot 23 \)	\( - 2^{74} \cdot 3^{8} \cdot 5 \cdot 19 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$4$	$2$	$1$	$1333248000$	$5.163368$	$-1095248516670909925403006195052049/2085842527704615412039680$	$1.04388$	$7.18733$	$[0, 0, 0, -309237494547, 66189187062746066]$	\(y^2=x^3-309237494547x+66189187062746066\)	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[]$
419520.en2	419520en1	419520.en	419520en	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19 \cdot 23 \)	\( - 2^{80} \cdot 3^{2} \cdot 5 \cdot 19 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$25$	$5$	$1$	$1333248000$	$4.960632$	$-1095248516670909925403006195052049/2085842527704615412039680$	$1.04388$	$6.83972$	$[0, -1, 0, -137438886465, 19611656794516545]$	\(y^2=x^3-x^2-137438886465x+19611656794516545\)	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[]$
419520.is2	419520is1	419520.is	419520is	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19 \cdot 23 \)	\( - 2^{80} \cdot 3^{2} \cdot 5 \cdot 19 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$196$	$2, 7$	$1$	$1333248000$	$4.960632$	$-1095248516670909925403006195052049/2085842527704615412039680$	$1.04388$	$6.83972$	$[0, 1, 0, -137438886465, -19611656794516545]$	\(y^2=x^3+x^2-137438886465x-19611656794516545\)	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[]$