Elliptic curve search results

Results (22 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
9240.bf3	9240bh6	9240.bf	9240bh	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 7^{16} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.55	2B	$2640$	$192$	$1$	$7.091637295$	$4$	$2$	$3$	$294912$	$2.667282$	$-223180773010681046402/246754509479287425$	$1.01033$	$6.08320$	$[0, 1, 0, -1604800, -1335485152]$	\(y^2=x^3+x^2-1604800x-1335485152\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 48.48.0-48.f.1.23, 80.48.0.?, $\ldots$	$[(1667, 24990)]$
18480.bl3	18480o6	18480.bl	18480o	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 7^{16} \cdot 11 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.45	2B	$2640$	$192$	$1$	$3.977408945$	$1$		$7$	$589824$	$2.667282$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.65401$	$[0, -1, 0, -1604800, 1335485152]$	\(y^2=x^3-x^2-1604800x+1335485152\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 48.48.0-48.f.1.7, 80.48.0.?, $\ldots$	$[(197, 32046)]$
27720.b3	27720c5	27720.b	27720c	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{16} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.9	2B	$2640$	$192$	$1$	$1$	$4$	$2$	$1$	$2359296$	$3.216587$	$-223180773010681046402/246754509479287425$	$1.01033$	$6.07426$	$[0, 0, 0, -14443203, 36043655902]$	\(y^2=x^3-14443203x+36043655902\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.4, $\ldots$	$[ ]$
46200.bp3	46200m5	46200.bp	46200m	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{8} \cdot 7^{16} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.4	2B	$2640$	$192$	$1$	$10.92766067$	$1$		$1$	$7077888$	$3.472000$	$-223180773010681046402/246754509479287425$	$1.01033$	$6.07073$	$[0, -1, 0, -40120008, -166855403988]$	\(y^2=x^3-x^2-40120008x-166855403988\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 20.12.0-4.c.1.1, $\ldots$	$[(212417/4, 81967225/4)]$
55440.ce3	55440v5	55440.ce	55440v	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{16} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.14	2B	$2640$	$192$	$1$	$1$	$1$		$1$	$4718592$	$3.216587$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.68880$	$[0, 0, 0, -14443203, -36043655902]$	\(y^2=x^3-14443203x-36043655902\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.6, $\ldots$	$[ ]$
64680.j3	64680bl5	64680.j	64680bl	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 7^{22} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$18480$	$192$	$1$	$1$	$16$	$2$	$1$	$14155776$	$3.640236$	$-223180773010681046402/246754509479287425$	$1.01033$	$6.06858$	$[0, -1, 0, -78635216, 457914136716]$	\(y^2=x^3-x^2-78635216x+457914136716\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.1, 48.24.0.f.1, $\ldots$	$[ ]$
73920.p3	73920b5	73920.p	73920b	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{17} \cdot 3^{3} \cdot 5^{2} \cdot 7^{16} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.95	2B	$2640$	$192$	$1$	$26.18793351$	$1$		$1$	$4718592$	$3.013855$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.32582$	$[0, -1, 0, -6419201, -10677462015]$	\(y^2=x^3-x^2-6419201x-10677462015\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 48.48.0-48.f.1.3, 80.48.0.?, $\ldots$	$[(317708123731/9641, 76587095681466188/9641)]$
73920.gf3	73920gx5	73920.gf	73920gx	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{17} \cdot 3^{3} \cdot 5^{2} \cdot 7^{16} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.97	2B	$2640$	$192$	$1$	$1.647246770$	$1$		$7$	$4718592$	$3.013855$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.32582$	$[0, 1, 0, -6419201, 10677462015]$	\(y^2=x^3+x^2-6419201x+10677462015\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 48.48.0-48.f.1.19, 80.48.0.?, $\ldots$	$[(-734, 122451)]$
92400.ey3	92400bs5	92400.ey	92400bs	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{8} \cdot 7^{16} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.4	2B	$2640$	$192$	$1$	$1$	$4$	$2$	$1$	$14155776$	$3.472000$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.70271$	$[0, 1, 0, -40120008, 166855403988]$	\(y^2=x^3+x^2-40120008x+166855403988\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 20.12.0-4.c.1.2, $\ldots$	$[ ]$
101640.cu3	101640bl5	101640.cu	101640bl	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 7^{16} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.3	2B	$2640$	$192$	$1$	$2.374714042$	$1$		$3$	$35389440$	$3.866230$	$-223180773010681046402/246754509479287425$	$1.01033$	$6.06589$	$[0, 1, 0, -194180840, 1776754014000]$	\(y^2=x^3+x^2-194180840x+1776754014000\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 24.24.0-8.n.1.6, $\ldots$	$[(6475, 889350)]$
129360.ej3	129360bw5	129360.ej	129360bw	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 7^{22} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$18480$	$192$	$1$	$12.60768761$	$1$		$1$	$28311552$	$3.640236$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.71121$	$[0, 1, 0, -78635216, -457914136716]$	\(y^2=x^3+x^2-78635216x-457914136716\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.2, 48.24.0.f.1, $\ldots$	$[(598909/2, 462647235/2)]$
138600.dj3	138600bg6	138600.dj	138600bg	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{11} \cdot 3^{9} \cdot 5^{8} \cdot 7^{16} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.94	2B	$2640$	$192$	$1$	$1$	$1$		$1$	$56623104$	$4.021309$	$-223180773010681046402/246754509479287425$	$1.01033$	$6.06417$	$[0, 0, 0, -361080075, 4505456987750]$	\(y^2=x^3-361080075x+4505456987750\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 48.48.0-48.f.1.25, 60.12.0-4.c.1.1, $\ldots$	$[ ]$
194040.ds3	194040cx5	194040.ds	194040cx	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{22} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$18480$	$192$	$1$	$1$	$36$	$2, 3$	$1$	$113246208$	$4.189545$	$-223180773010681046402/246754509479287425$	$1.01033$	$6.06239$	$[0, 0, 0, -707716947, -12362973974386]$	\(y^2=x^3-707716947x-12362973974386\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.f.1, 80.24.0.?, $\ldots$	$[ ]$
203280.cs3	203280gk5	203280.cs	203280gk	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 7^{16} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.8	2B	$2640$	$192$	$1$	$20.92674207$	$4$	$2$	$1$	$70778880$	$3.866230$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.72189$	$[0, -1, 0, -194180840, -1776754014000]$	\(y^2=x^3-x^2-194180840x-1776754014000\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 24.24.0-8.n.1.2, $\ldots$	$[(45564492570/1273, 7987339849578210/1273)]$
221760.jo3	221760jk6	221760.jo	221760jk	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{17} \cdot 3^{9} \cdot 5^{2} \cdot 7^{16} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.3	2B	$2640$	$192$	$1$	$1$	$4$	$2$	$1$	$37748736$	$3.563160$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.38599$	$[0, 0, 0, -57772812, 288349247216]$	\(y^2=x^3-57772812x+288349247216\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 24.24.0-8.n.1.11, $\ldots$	$[ ]$
221760.lp3	221760bc5	221760.lp	221760bc	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{17} \cdot 3^{9} \cdot 5^{2} \cdot 7^{16} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.8	2B	$2640$	$192$	$1$	$5.295925489$	$1$		$3$	$37748736$	$3.563160$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.38599$	$[0, 0, 0, -57772812, -288349247216]$	\(y^2=x^3-57772812x-288349247216\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 24.24.0-8.n.1.9, $\ldots$	$[(21948, 3002720)]$
277200.ft3	277200ft5	277200.ft	277200ft	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{11} \cdot 3^{9} \cdot 5^{8} \cdot 7^{16} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.89	2B	$2640$	$192$	$1$	$34.14541130$	$1$		$1$	$113246208$	$4.021309$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.72877$	$[0, 0, 0, -361080075, -4505456987750]$	\(y^2=x^3-361080075x-4505456987750\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 48.48.0-48.f.1.9, 60.12.0-4.c.1.2, $\ldots$	$[(7366827908520890/470873, 468958965936759458058150/470873)]$
304920.ci3	304920ci5	304920.ci	304920ci	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{16} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.98	2B	$2640$	$192$	$1$	$21.81162029$	$1$		$1$	$283115520$	$4.415535$	$-223180773010681046402/246754509479287425$	$1.01033$	$6.06016$	$[0, 0, 0, -1747627563, -47974106005562]$	\(y^2=x^3-1747627563x-47974106005562\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 48.48.0-48.f.1.14, 80.48.0.?, $\ldots$	$[(27566268081/434, 4349462579451121/434)]$
323400.ij3	323400ij6	323400.ij	323400ij	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{8} \cdot 7^{22} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$18480$	$192$	$1$	$1$	$16$	$2$	$1$	$339738624$	$4.444954$	$-223180773010681046402/246754509479287425$	$1.01033$	$6.05988$	$[0, 1, 0, -1965880408, 57235335328688]$	\(y^2=x^3+x^2-1965880408x+57235335328688\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.f.1, 80.24.0.?, $\ldots$	$[ ]$
369600.dw3	369600dw6	369600.dw	369600dw	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{17} \cdot 3^{3} \cdot 5^{8} \cdot 7^{16} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.11	2B	$2640$	$192$	$1$	$13.69306226$	$1$		$1$	$113246208$	$3.818573$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.41045$	$[0, -1, 0, -160480033, 1335003711937]$	\(y^2=x^3-x^2-160480033x+1335003711937\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 24.24.0-8.n.1.4, $\ldots$	$[(-129576/7, 452562389/7)]$
369600.rs3	369600rs5	369600.rs	369600rs	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{17} \cdot 3^{3} \cdot 5^{8} \cdot 7^{16} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.11	2B	$2640$	$192$	$1$	$5.079625839$	$1$		$3$	$113246208$	$3.818573$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.41045$	$[0, 1, 0, -160480033, -1335003711937]$	\(y^2=x^3+x^2-160480033x-1335003711937\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 24.24.0-8.n.1.8, $\ldots$	$[(102109, 32355876)]$
388080.ny3	388080ny6	388080.ny	388080ny	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{22} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$18480$	$192$	$1$	$8.869673022$	$4$	$2$	$3$	$226492416$	$4.189545$	$-223180773010681046402/246754509479287425$	$1.01033$	$5.73586$	$[0, 0, 0, -707716947, 12362973974386]$	\(y^2=x^3-707716947x+12362973974386\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.f.1, 80.24.0.?, $\ldots$	$[(15927, 2265250)]$

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