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.r2	11970g1	11970.r	11970g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{2} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$0.800852181$	$1$		$7$	$6912$	$0.571720$	$-47832147/353780$	$1.14934$	$3.21549$	$[1, -1, 0, -204, 4220]$	\(y^2+xy=x^3-x^2-204x+4220\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(-1, 67)]$
11970.bh2	11970bd1	11970.bh	11970bd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{2} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.671670450$	$1$		$3$	$2304$	$0.022414$	$-47832147/353780$	$1.14934$	$2.51352$	$[1, -1, 1, -23, -149]$	\(y^2+xy+y=x^3-x^2-23x-149\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(31, 152)]$
59850.cp2	59850s1	59850.cp	59850s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{7} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$0.686629344$	$1$		$9$	$55296$	$0.827133$	$-47832147/353780$	$1.14934$	$3.02365$	$[1, -1, 0, -567, -19159]$	\(y^2+xy=x^3-x^2-567x-19159\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(49, 238)]$
59850.fs2	59850eg1	59850.fs	59850eg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{7} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$165888$	$1.376438$	$-47832147/353780$	$1.14934$	$3.62292$	$[1, -1, 1, -5105, 522397]$	\(y^2+xy+y=x^3-x^2-5105x+522397\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
83790.p2	83790b1	83790.p	83790b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{9} \cdot 5 \cdot 7^{8} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$331776$	$1.544676$	$-47832147/353780$	$1.14934$	$3.69347$	$[1, -1, 0, -10005, -1427455]$	\(y^2+xy=x^3-x^2-10005x-1427455\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
83790.fb2	83790db1	83790.fb	83790db	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$110592$	$0.995369$	$-47832147/353780$	$1.14934$	$3.11199$	$[1, -1, 1, -1112, 53239]$	\(y^2+xy+y=x^3-x^2-1112x+53239\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
95760.cb2	95760cb1	95760.cb	95760cb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$0.907536787$	$1$		$7$	$55296$	$0.715561$	$-47832147/353780$	$1.14934$	$2.78302$	$[0, 0, 0, -363, 9882]$	\(y^2=x^3-363x+9882\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(87, 798)]$
95760.fd2	95760ct1	95760.fd	95760ct	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{14} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$165888$	$1.264868$	$-47832147/353780$	$1.14934$	$3.35772$	$[0, 0, 0, -3267, -266814]$	\(y^2=x^3-3267x-266814\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
227430.g2	227430ge1	227430.g	227430ge	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 19^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$2.629006049$	$1$		$15$	$829440$	$1.494633$	$-47832147/353780$	$1.14934$	$3.34579$	$[1, -1, 0, -8190, 1061120]$	\(y^2+xy=x^3-x^2-8190x+1061120\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(-14, 1090), (347, 6144)]$
227430.fa2	227430cp1	227430.fa	227430cp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{2} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$4$	$2$	$1$	$2488320$	$2.043938$	$-47832147/353780$	$1.14934$	$3.88019$	$[1, -1, 1, -73712, -28576529]$	\(y^2+xy+y=x^3-x^2-73712x-28576529\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
383040.bs2	383040bs1	383040.bs	383040bs	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{20} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$2.154089292$	$1$		$5$	$1327104$	$1.611441$	$-47832147/353780$	$1.14934$	$3.31915$	$[0, 0, 0, -13068, 2134512]$	\(y^2=x^3-13068x+2134512\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(-108, 1512)]$
383040.fj2	383040fj1	383040.fj	383040fj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{20} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$1327104$	$1.611441$	$-47832147/353780$	$1.14934$	$3.31915$	$[0, 0, 0, -13068, -2134512]$	\(y^2=x^3-13068x-2134512\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
383040.iz2	383040iz1	383040.iz	383040iz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{20} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.062134$	$-47832147/353780$	$1.14934$	$2.80641$	$[0, 0, 0, -1452, -79056]$	\(y^2=x^3-1452x-79056\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
383040.nc2	383040nc1	383040.nc	383040nc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{20} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.761899618$	$1$		$5$	$442368$	$1.062134$	$-47832147/353780$	$1.14934$	$2.80641$	$[0, 0, 0, -1452, 79056]$	\(y^2=x^3-1452x+79056\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(10, 256)]$
418950.et2	418950et1	418950.et	418950et	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{7} \cdot 7^{8} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$2654208$	$1.800087$	$-47832147/353780$	$1.14934$	$3.47104$	$[1, -1, 0, -27792, 6627116]$	\(y^2+xy=x^3-x^2-27792x+6627116\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
418950.mx2	418950mx1	418950.mx	418950mx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{7} \cdot 7^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$8.809771545$	$1$		$1$	$7962624$	$2.349396$	$-47832147/353780$	$1.14934$	$3.98023$	$[1, -1, 1, -250130, -178682003]$	\(y^2+xy+y=x^3-x^2-250130x-178682003\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(277069/9, 142681625/9)]$
478800.dn2	478800dn1	478800.dn	478800dn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 7^{2} \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.105937984$	$1$		$21$	$1327104$	$1.520281$	$-47832147/353780$	$1.14934$	$3.17888$	$[0, 0, 0, -9075, 1235250]$	\(y^2=x^3-9075x+1235250\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(55, 950), (15, 1050)]$
478800.dp2	478800dp1	478800.dp	478800dp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$3981312$	$2.069588$	$-47832147/353780$	$1.14934$	$3.68287$	$[0, 0, 0, -81675, -33351750]$	\(y^2=x^3-81675x-33351750\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$