Elliptic curve search results

Results (12 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
12210.k1	12210k1	12210.k	12210k	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 37 \)	\( - 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$24420$	$2$	$0$	$0.686212621$	$1$		$4$	$1344$	$-0.358244$	$46268279/97680$	$0.76992$	$1.97915$	$[1, 1, 0, 8, 16]$	\(y^2+xy=x^3+x^2+8x+16\)	24420.2.0.?	$[(0, 4)]$
36630.be1	36630bd1	36630.be	36630bd	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 37 \)	\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24420$	$2$	$0$	$0.537456996$	$1$		$4$	$10752$	$0.191062$	$46268279/97680$	$0.76992$	$2.39950$	$[1, -1, 1, 67, -363]$	\(y^2+xy+y=x^3-x^2+67x-363\)	24420.2.0.?	$[(5, 6)]$
61050.cj1	61050cp1	61050.cj	61050cp	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{4} \cdot 3 \cdot 5^{7} \cdot 11 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24420$	$2$	$0$	$0.697692525$	$1$		$2$	$32256$	$0.446475$	$46268279/97680$	$0.76992$	$2.56641$	$[1, 0, 0, 187, 1617]$	\(y^2+xy=x^3+187x+1617\)	24420.2.0.?	$[(12, 69)]$
97680.cq1	97680cv1	97680.cq	97680cv	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \)	\( - 2^{16} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24420$	$2$	$0$	$1$	$1$		$0$	$32256$	$0.334903$	$46268279/97680$	$0.76992$	$2.34490$	$[0, 1, 0, 120, -780]$	\(y^2=x^3+x^2+120x-780\)	24420.2.0.?	$[]$
134310.cb1	134310s1	134310.cb	134310s	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 37 \)	\( - 2^{4} \cdot 3 \cdot 5 \cdot 11^{7} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24420$	$2$	$0$	$1$	$1$		$0$	$161280$	$0.840704$	$46268279/97680$	$0.76992$	$2.79568$	$[1, 1, 1, 905, -16675]$	\(y^2+xy+y=x^3+x^2+905x-16675\)	24420.2.0.?	$[]$
183150.z1	183150eb1	183150.z	183150eb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 11 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24420$	$2$	$0$	$1.013498433$	$1$		$4$	$258048$	$0.995781$	$46268279/97680$	$0.76992$	$2.87770$	$[1, -1, 0, 1683, -43659]$	\(y^2+xy=x^3-x^2+1683x-43659\)	24420.2.0.?	$[(54, 423)]$
293040.u1	293040u1	293040.u	293040u	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 37 \)	\( - 2^{16} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24420$	$2$	$0$	$1$	$1$		$0$	$258048$	$0.884210$	$46268279/97680$	$0.76992$	$2.66389$	$[0, 0, 0, 1077, 22138]$	\(y^2=x^3+1077x+22138\)	24420.2.0.?	$[]$
390720.t1	390720t1	390720.t	390720t	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \)	\( - 2^{22} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24420$	$2$	$0$	$1$	$1$		$0$	$258048$	$0.681477$	$46268279/97680$	$0.76992$	$2.41543$	$[0, -1, 0, 479, -6719]$	\(y^2=x^3-x^2+479x-6719\)	24420.2.0.?	$[]$
390720.fk1	390720fk1	390720.fk	390720fk	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \)	\( - 2^{22} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24420$	$2$	$0$	$3.368811990$	$1$		$2$	$258048$	$0.681477$	$46268279/97680$	$0.76992$	$2.41543$	$[0, 1, 0, 479, 6719]$	\(y^2=x^3+x^2+479x+6719\)	24420.2.0.?	$[(451, 9600)]$
402930.h1	402930h1	402930.h	402930h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 37 \)	\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 11^{7} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24420$	$2$	$0$	$0.328007521$	$1$		$6$	$1290240$	$1.390009$	$46268279/97680$	$0.76992$	$3.06844$	$[1, -1, 0, 8145, 458365]$	\(y^2+xy=x^3-x^2+8145x+458365\)	24420.2.0.?	$[(146, 2105)]$
451770.bp1	451770bp1	451770.bp	451770bp	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 37^{2} \)	\( - 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24420$	$2$	$0$	$2.190471779$	$1$		$0$	$1838592$	$1.447214$	$46268279/97680$	$0.76992$	$3.09420$	$[1, 1, 1, 10239, 653199]$	\(y^2+xy+y=x^3+x^2+10239x+653199\)	24420.2.0.?	$[(727/3, 37228/3)]$
488400.ct1	488400ct1	488400.ct	488400ct	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{16} \cdot 3 \cdot 5^{7} \cdot 11 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24420$	$2$	$0$	$2.753437717$	$1$		$2$	$774144$	$1.139622$	$46268279/97680$	$0.76992$	$2.79399$	$[0, -1, 0, 2992, -103488]$	\(y^2=x^3-x^2+2992x-103488\)	24420.2.0.?	$[(202, 2950)]$