Elliptic curve search results

Results (32 matches)

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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
1650.f1	1650i1	1650.f	1650i	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.132603755$	$1$		$8$	$144$	$-0.462788$	$-625/1188$	$1.11238$	$2.39642$	$[1, 0, 1, -1, 8]$	\(y^2+xy+y=x^3-x+8\)	132.2.0.?	$[(1, 2)]$
1650.p1	1650p1	1650.p	1650p	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$720$	$0.341931$	$-625/1188$	$1.11238$	$3.69986$	$[1, 1, 1, -13, 1031]$	\(y^2+xy+y=x^3+x^2-13x+1031\)	132.2.0.?	$[ ]$
4950.p1	4950s1	4950.p	4950s	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{8} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.587165278$	$1$		$6$	$5760$	$0.891237$	$-625/1188$	$1.11238$	$3.99690$	$[1, -1, 0, -117, -27959]$	\(y^2+xy=x^3-x^2-117x-27959\)	132.2.0.?	$[(44, 203)]$
4950.bb1	4950bg1	4950.bb	4950bg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.669288570$	$1$		$2$	$1152$	$0.086519$	$-625/1188$	$1.11238$	$2.86178$	$[1, -1, 1, -5, -223]$	\(y^2+xy+y=x^3-x^2-5x-223\)	132.2.0.?	$[(15, 46)]$
13200.bf1	13200bk1	13200.bf	13200bk	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$3456$	$0.230360$	$-625/1188$	$1.11238$	$2.74787$	$[0, -1, 0, -8, -528]$	\(y^2=x^3-x^2-8x-528\)	132.2.0.?	$[ ]$
13200.bq1	13200cr1	13200.bq	13200cr	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{8} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$17280$	$1.035078$	$-625/1188$	$1.11238$	$3.76564$	$[0, 1, 0, -208, -66412]$	\(y^2=x^3+x^2-208x-66412\)	132.2.0.?	$[ ]$
18150.f1	18150u1	18150.f	18150u	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$2.540682103$	$1$		$4$	$86400$	$1.540878$	$-625/1188$	$1.11238$	$4.26230$	$[1, 1, 0, -1575, -1380375]$	\(y^2+xy=x^3+x^2-1575x-1380375\)	132.2.0.?	$[(116, 63)]$
18150.de1	18150ct1	18150.de	18150ct	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$17280$	$0.736160$	$-625/1188$	$1.11238$	$3.27758$	$[1, 0, 0, -63, -11043]$	\(y^2+xy=x^3-63x-11043\)	132.2.0.?	$[ ]$
39600.u1	39600fd1	39600.u	39600fd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{8} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.509970514$	$1$		$6$	$138240$	$1.584385$	$-625/1188$	$1.11238$	$3.99751$	$[0, 0, 0, -1875, 1791250]$	\(y^2=x^3-1875x+1791250\)	132.2.0.?	$[(-25, 1350)]$
39600.eo1	39600ea1	39600.eo	39600ea	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$27648$	$0.779666$	$-625/1188$	$1.11238$	$3.08535$	$[0, 0, 0, -75, 14330]$	\(y^2=x^3-75x+14330\)	132.2.0.?	$[ ]$
52800.m1	52800p1	52800.m	52800p	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.853602188$	$1$		$4$	$27648$	$0.576933$	$-625/1188$	$1.11238$	$2.78001$	$[0, -1, 0, -33, 4257]$	\(y^2=x^3-x^2-33x+4257\)	132.2.0.?	$[(-7, 64)]$
52800.r1	52800fu1	52800.r	52800fu	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{8} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$138240$	$1.381653$	$-625/1188$	$1.11238$	$3.66804$	$[0, -1, 0, -833, -530463]$	\(y^2=x^3-x^2-833x-530463\)	132.2.0.?	$[ ]$
52800.he1	52800dq1	52800.he	52800dq	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{8} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.516790363$	$1$		$4$	$138240$	$1.381653$	$-625/1188$	$1.11238$	$3.66804$	$[0, 1, 0, -833, 530463]$	\(y^2=x^3+x^2-833x+530463\)	132.2.0.?	$[(283, 4800)]$
52800.hj1	52800hc1	52800.hj	52800hc	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{2} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$27648$	$0.576933$	$-625/1188$	$1.11238$	$2.78001$	$[0, 1, 0, -33, -4257]$	\(y^2=x^3+x^2-33x-4257\)	132.2.0.?	$[ ]$
54450.cx1	54450cc1	54450.cx	54450cc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.291643320$	$1$		$6$	$138240$	$1.285467$	$-625/1188$	$1.11238$	$3.55184$	$[1, -1, 0, -567, 298161]$	\(y^2+xy=x^3-x^2-567x+298161\)	132.2.0.?	$[(135, 1566)]$
54450.eq1	54450hg1	54450.eq	54450hg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{8} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.786049496$	$1$		$2$	$691200$	$2.090187$	$-625/1188$	$1.11238$	$4.43736$	$[1, -1, 1, -14180, 37255947]$	\(y^2+xy+y=x^3-x^2-14180x+37255947\)	132.2.0.?	$[(69, 6015)]$
80850.bl1	80850r1	80850.bl	80850r	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$3.482761725$	$1$		$2$	$47520$	$0.510167$	$-625/1188$	$1.11238$	$2.60429$	$[1, 1, 0, -25, -2855]$	\(y^2+xy=x^3+x^2-25x-2855\)	132.2.0.?	$[(36, 193)]$
80850.hb1	80850hg1	80850.hb	80850hg	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 7^{6} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$237600$	$1.314886$	$-625/1188$	$1.11238$	$3.45883$	$[1, 0, 0, -638, -355608]$	\(y^2+xy=x^3-638x-355608\)	132.2.0.?	$[ ]$
145200.z1	145200ez1	145200.z	145200ez	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.323494501$	$1$		$2$	$414720$	$1.429308$	$-625/1188$	$1.11238$	$3.40396$	$[0, -1, 0, -1008, 706752]$	\(y^2=x^3-x^2-1008x+706752\)	132.2.0.?	$[(-62, 726)]$
145200.kk1	145200ba1	145200.kk	145200ba	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{8} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$2.157330120$	$1$		$2$	$2073600$	$2.234028$	$-625/1188$	$1.11238$	$4.21641$	$[0, 1, 0, -25208, 88293588]$	\(y^2=x^3+x^2-25208x+88293588\)	132.2.0.?	$[(172, 9438)]$
158400.bw1	158400i1	158400.bw	158400i	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{20} \cdot 3^{9} \cdot 5^{8} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$1105920$	$1.930958$	$-625/1188$	$1.11238$	$3.88201$	$[0, 0, 0, -7500, 14330000]$	\(y^2=x^3-7500x+14330000\)	132.2.0.?	$[ ]$
158400.cr1	158400kl1	158400.cr	158400kl	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{20} \cdot 3^{9} \cdot 5^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$2.360235397$	$1$		$2$	$221184$	$1.126240$	$-625/1188$	$1.11238$	$3.07547$	$[0, 0, 0, -300, -114640]$	\(y^2=x^3-300x-114640\)	132.2.0.?	$[(86, 704)]$
158400.mq1	158400fm1	158400.mq	158400fm	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{20} \cdot 3^{9} \cdot 5^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.876250313$	$1$		$2$	$221184$	$1.126240$	$-625/1188$	$1.11238$	$3.07547$	$[0, 0, 0, -300, 114640]$	\(y^2=x^3-300x+114640\)	132.2.0.?	$[(44, 432)]$
158400.ng1	158400jp1	158400.ng	158400jp	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{20} \cdot 3^{9} \cdot 5^{8} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$1105920$	$1.930958$	$-625/1188$	$1.11238$	$3.88201$	$[0, 0, 0, -7500, -14330000]$	\(y^2=x^3-7500x-14330000\)	132.2.0.?	$[ ]$
242550.cc1	242550cc1	242550.cc	242550cc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{8} \cdot 7^{6} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$1900800$	$1.864193$	$-625/1188$	$1.11238$	$3.68399$	$[1, -1, 0, -5742, 9601416]$	\(y^2+xy=x^3-x^2-5742x+9601416\)	132.2.0.?	$[ ]$
242550.jk1	242550jk1	242550.jk	242550jk	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$380160$	$1.059473$	$-625/1188$	$1.11238$	$2.90517$	$[1, -1, 1, -230, 76857]$	\(y^2+xy+y=x^3-x^2-230x+76857\)	132.2.0.?	$[ ]$
278850.j1	278850j1	278850.j	278850j	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 11 \cdot 13^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.973108076$	$1$		$12$	$1693440$	$1.624407$	$-625/1188$	$1.11238$	$3.41353$	$[1, 1, 0, -2200, 2276500]$	\(y^2+xy=x^3+x^2-2200x+2276500\)	132.2.0.?	$[(135, 2045), (-34, 1538)]$
278850.iz1	278850iz1	278850.iz	278850iz	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.868295779$	$1$		$0$	$338688$	$0.819687$	$-625/1188$	$1.11238$	$2.64336$	$[1, 0, 0, -88, 18212]$	\(y^2+xy=x^3-88x+18212\)	132.2.0.?	$[(-61/2, 1075/2)]$
435600.dj1	435600dj1	435600.dj	435600dj	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$3317760$	$1.978613$	$-625/1188$	$1.11238$	$3.62361$	$[0, 0, 0, -9075, -19073230]$	\(y^2=x^3-9075x-19073230\)	132.2.0.?	$[ ]$
435600.rh1	435600rh1	435600.rh	435600rh	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{8} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$3.504630971$	$1$		$2$	$16588800$	$2.783333$	$-625/1188$	$1.11238$	$4.36732$	$[0, 0, 0, -226875, -2384153750]$	\(y^2=x^3-226875x-2384153750\)	132.2.0.?	$[(2975, 152550)]$
476850.cp1	476850cp1	476850.cp	476850cp	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$3.753465208$	$1$		$2$	$688896$	$0.953819$	$-625/1188$	$1.11238$	$2.65800$	$[1, 1, 0, -150, 40680]$	\(y^2+xy=x^3+x^2-150x+40680\)	132.2.0.?	$[(-34, 106)]$
476850.im1	476850im1	476850.im	476850im	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 11 \cdot 17^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$3444480$	$1.758537$	$-625/1188$	$1.11238$	$3.39656$	$[1, 0, 0, -3763, 5092517]$	\(y^2+xy=x^3-3763x+5092517\)	132.2.0.?	$[ ]$

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