Elliptic curve search results

Results (28 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
3300.e2	3300a2	3300.e	3300a	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$660$	$16$	$0$	$1$	$1$		$0$	$7776$	$1.300905$	$-272709010000/7073843073$	$1.08674$	$4.80401$	$[0, -1, 0, -2508, 328152]$	\(y^2=x^3-x^2-2508x+328152\)	3.4.0.a.1, 15.8.0-3.a.1.1, 132.8.0.?, 660.16.0.?	$[ ]$
3300.m2	3300o2	3300.m	3300o	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$132$	$16$	$0$	$1$	$9$	$3$	$0$	$38880$	$2.105625$	$-272709010000/7073843073$	$1.08674$	$5.99594$	$[0, 1, 0, -62708, 40893588]$	\(y^2=x^3+x^2-62708x+40893588\)	3.8.0-3.a.1.1, 132.16.0.?	$[ ]$
9900.j2	9900bb2	9900.j	9900bb	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$132$	$16$	$0$	$1.638759257$	$1$		$8$	$311040$	$2.654930$	$-272709010000/7073843073$	$1.08674$	$5.99642$	$[0, 0, 0, -564375, -1104691250]$	\(y^2=x^3-564375x-1104691250\)	3.8.0-3.a.1.2, 132.16.0.?	$[(1391, 28314)]$
9900.u2	9900n2	9900.u	9900n	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$660$	$16$	$0$	$1$	$1$		$0$	$62208$	$1.850210$	$-272709010000/7073843073$	$1.08674$	$4.94682$	$[0, 0, 0, -22575, -8837530]$	\(y^2=x^3-22575x-8837530\)	3.4.0.a.1, 15.8.0-3.a.1.2, 132.8.0.?, 660.16.0.?	$[ ]$
13200.w2	13200ca2	13200.w	13200ca	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$132$	$16$	$0$	$1$	$1$		$0$	$155520$	$2.105625$	$-272709010000/7073843073$	$1.08674$	$5.11986$	$[0, -1, 0, -62708, -40893588]$	\(y^2=x^3-x^2-62708x-40893588\)	3.4.0.a.1, 12.8.0-3.a.1.2, 66.8.0-3.a.1.1, 132.16.0.?	$[ ]$
13200.ce2	13200cj2	13200.ce	13200cj	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$660$	$16$	$0$	$1$	$1$		$0$	$31104$	$1.300905$	$-272709010000/7073843073$	$1.08674$	$4.10209$	$[0, 1, 0, -2508, -328152]$	\(y^2=x^3+x^2-2508x-328152\)	3.4.0.a.1, 60.8.0-3.a.1.1, 132.8.0.?, 330.8.0.?, 660.16.0.?	$[ ]$
36300.l2	36300i2	36300.l	36300i	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{15} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$660$	$16$	$0$	$12.29606888$	$1$		$0$	$933120$	$2.499851$	$-272709010000/7073843073$	$1.08674$	$5.07715$	$[0, -1, 0, -303508, -435556328]$	\(y^2=x^3-x^2-303508x-435556328\)	3.4.0.a.1, 60.8.0-3.a.1.4, 132.8.0.?, 165.8.0.?, 660.16.0.?	$[(503999193/229, 11292769533914/229)]$
36300.cb2	36300cf2	36300.cb	36300cf	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{15} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$132$	$16$	$0$	$17.06338591$	$1$		$0$	$4665600$	$3.304573$	$-272709010000/7073843073$	$1.08674$	$5.99686$	$[0, 1, 0, -7587708, -54459716412]$	\(y^2=x^3+x^2-7587708x-54459716412\)	3.4.0.a.1, 12.8.0-3.a.1.3, 33.8.0-3.a.1.1, 132.16.0.?	$[(38736195863/2933, 1309942721233476/2933)]$
39600.cd2	39600dd2	39600.cd	39600dd	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$660$	$16$	$0$	$4.586557043$	$1$		$2$	$248832$	$1.850210$	$-272709010000/7073843073$	$1.08674$	$4.29904$	$[0, 0, 0, -22575, 8837530]$	\(y^2=x^3-22575x+8837530\)	3.4.0.a.1, 60.8.0-3.a.1.2, 132.8.0.?, 330.8.0.?, 660.16.0.?	$[(-226, 1548)]$
39600.de2	39600ek2	39600.de	39600ek	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$132$	$16$	$0$	$1$	$1$		$0$	$1244160$	$2.654930$	$-272709010000/7073843073$	$1.08674$	$5.21120$	$[0, 0, 0, -564375, 1104691250]$	\(y^2=x^3-564375x+1104691250\)	3.4.0.a.1, 12.8.0-3.a.1.1, 66.8.0-3.a.1.2, 132.16.0.?	$[ ]$
52800.bp2	52800ef2	52800.bp	52800ef	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{14} \cdot 3 \cdot 5^{2} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1320$	$16$	$0$	$1$	$1$		$0$	$248832$	$1.647478$	$-272709010000/7073843073$	$1.08674$	$3.96159$	$[0, -1, 0, -10033, -2615183]$	\(y^2=x^3-x^2-10033x-2615183\)	3.4.0.a.1, 120.8.0.?, 132.8.0.?, 1320.16.0.?	$[ ]$
52800.by2	52800bu2	52800.by	52800bu	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{14} \cdot 3 \cdot 5^{8} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$264$	$16$	$0$	$0.603413657$	$1$		$2$	$1244160$	$2.452198$	$-272709010000/7073843073$	$1.08674$	$4.84962$	$[0, -1, 0, -250833, 327399537]$	\(y^2=x^3-x^2-250833x+327399537\)	3.4.0.a.1, 24.8.0-3.a.1.1, 132.8.0.?, 264.16.0.?	$[(767, 24200)]$
52800.gb2	52800hk2	52800.gb	52800hk	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{14} \cdot 3 \cdot 5^{8} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$264$	$16$	$0$	$1$	$4$	$2$	$0$	$1244160$	$2.452198$	$-272709010000/7073843073$	$1.08674$	$4.84962$	$[0, 1, 0, -250833, -327399537]$	\(y^2=x^3+x^2-250833x-327399537\)	3.4.0.a.1, 24.8.0-3.a.1.3, 132.8.0.?, 264.16.0.?	$[ ]$
52800.gc2	52800cu2	52800.gc	52800cu	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{14} \cdot 3 \cdot 5^{2} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1320$	$16$	$0$	$1.090063002$	$1$		$2$	$248832$	$1.647478$	$-272709010000/7073843073$	$1.08674$	$3.96159$	$[0, 1, 0, -10033, 2615183]$	\(y^2=x^3+x^2-10033x+2615183\)	3.4.0.a.1, 120.8.0.?, 132.8.0.?, 1320.16.0.?	$[(637, 15972)]$
108900.bg2	108900bu2	108900.bg	108900bu	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{15} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$660$	$16$	$0$	$1$	$1$		$0$	$7464960$	$3.049160$	$-272709010000/7073843073$	$1.08674$	$5.16456$	$[0, 0, 0, -2731575, 11762752430]$	\(y^2=x^3-2731575x+11762752430\)	3.4.0.a.1, 60.8.0-3.a.1.3, 132.8.0.?, 165.8.0.?, 660.16.0.?	$[ ]$
108900.ct2	108900di2	108900.ct	108900di	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11^{15} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$132$	$16$	$0$	$7.455109427$	$1$		$2$	$37324800$	$3.853878$	$-272709010000/7073843073$	$1.08674$	$5.99716$	$[0, 0, 0, -68289375, 1470344053750]$	\(y^2=x^3-68289375x+1470344053750\)	3.4.0.a.1, 12.8.0-3.a.1.4, 33.8.0-3.a.1.2, 132.16.0.?	$[(68354, 17781192)]$
145200.ck2	145200dx2	145200.ck	145200dx	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{15} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$132$	$16$	$0$	$1$	$9$	$3$	$0$	$18662400$	$3.304573$	$-272709010000/7073843073$	$1.08674$	$5.29743$	$[0, -1, 0, -7587708, 54459716412]$	\(y^2=x^3-x^2-7587708x+54459716412\)	3.4.0.a.1, 6.8.0-3.a.1.1, 132.16.0.?	$[ ]$
145200.is2	145200ck2	145200.is	145200ck	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{15} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$660$	$16$	$0$	$1$	$9$	$3$	$0$	$3732480$	$2.499851$	$-272709010000/7073843073$	$1.08674$	$4.48498$	$[0, 1, 0, -303508, 435556328]$	\(y^2=x^3+x^2-303508x+435556328\)	3.4.0.a.1, 30.8.0-3.a.1.1, 132.8.0.?, 660.16.0.?	$[ ]$
158400.fp2	158400it2	158400.fp	158400it	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{14} \cdot 3^{7} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$264$	$16$	$0$	$30.06696940$	$1$		$0$	$9953280$	$3.001503$	$-272709010000/7073843073$	$1.08674$	$4.95517$	$[0, 0, 0, -2257500, -8837530000]$	\(y^2=x^3-2257500x-8837530000\)	3.4.0.a.1, 24.8.0-3.a.1.2, 132.8.0.?, 264.16.0.?	$[(54300499078024/99619, 373359635546590068732/99619)]$
158400.fs2	158400dk2	158400.fs	158400dk	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{14} \cdot 3^{7} \cdot 5^{2} \cdot 11^{9} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1320$	$16$	$0$	$0.830510816$	$1$		$12$	$1990656$	$2.196785$	$-272709010000/7073843073$	$1.08674$	$4.14863$	$[0, 0, 0, -90300, 70700240]$	\(y^2=x^3-90300x+70700240\)	3.4.0.a.1, 120.8.0.?, 132.8.0.?, 1320.16.0.?	$[(-266, 8712), (4574, 308792)]$
158400.iy2	158400mb2	158400.iy	158400mb	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{14} \cdot 3^{7} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1320$	$16$	$0$	$1$	$1$		$0$	$1990656$	$2.196785$	$-272709010000/7073843073$	$1.08674$	$4.14863$	$[0, 0, 0, -90300, -70700240]$	\(y^2=x^3-90300x-70700240\)	3.4.0.a.1, 120.8.0.?, 132.8.0.?, 1320.16.0.?	$[ ]$
158400.kc2	158400bk2	158400.kc	158400bk	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{14} \cdot 3^{7} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$264$	$16$	$0$	$0.595213569$	$1$		$6$	$9953280$	$3.001503$	$-272709010000/7073843073$	$1.08674$	$4.95517$	$[0, 0, 0, -2257500, 8837530000]$	\(y^2=x^3-2257500x+8837530000\)	3.4.0.a.1, 24.8.0-3.a.1.4, 132.8.0.?, 264.16.0.?	$[(1574, 95832)]$
161700.bf2	161700da2	161700.bf	161700da	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 7^{6} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$924$	$16$	$0$	$1$	$1$		$0$	$14696640$	$3.078579$	$-272709010000/7073843073$	$1.08674$	$5.02377$	$[0, -1, 0, -3072708, -14032646088]$	\(y^2=x^3-x^2-3072708x-14032646088\)	3.4.0.a.1, 21.8.0-3.a.1.2, 132.8.0.?, 924.16.0.?	$[ ]$
161700.cr2	161700bm2	161700.cr	161700bm	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4620$	$16$	$0$	$1$	$1$		$0$	$2939328$	$2.273861$	$-272709010000/7073843073$	$1.08674$	$4.21862$	$[0, 1, 0, -122908, -112310332]$	\(y^2=x^3+x^2-122908x-112310332\)	3.4.0.a.1, 105.8.0.?, 132.8.0.?, 4620.16.0.?	$[ ]$
435600.ip2	435600ip2	435600.ip	435600ip	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11^{15} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$132$	$16$	$0$	$16.87151109$	$1$		$0$	$149299200$	$3.853878$	$-272709010000/7073843073$	$1.08674$	$5.35687$	$[0, 0, 0, -68289375, -1470344053750]$	\(y^2=x^3-68289375x-1470344053750\)	3.4.0.a.1, 6.8.0-3.a.1.2, 132.16.0.?	$[(1064823009250/5701, 1039256369012668950/5701)]$
435600.lz2	435600lz2	435600.lz	435600lz	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{15} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$660$	$16$	$0$	$1$	$1$		$0$	$29859840$	$3.049160$	$-272709010000/7073843073$	$1.08674$	$4.61317$	$[0, 0, 0, -2731575, -11762752430]$	\(y^2=x^3-2731575x-11762752430\)	3.4.0.a.1, 30.8.0-3.a.1.2, 132.8.0.?, 660.16.0.?	$[ ]$
485100.el2	485100el2	485100.el	485100el	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4620$	$16$	$0$	$1.703118642$	$1$		$2$	$23514624$	$2.823166$	$-272709010000/7073843073$	$1.08674$	$4.36810$	$[0, 0, 0, -1106175, 3031272790]$	\(y^2=x^3-1106175x+3031272790\)	3.4.0.a.1, 105.8.0.?, 132.8.0.?, 4620.16.0.?	$[(-1294, 47916)]$
485100.ia2	485100ia2	485100.ia	485100ia	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 7^{6} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$924$	$16$	$0$	$1$	$1$		$0$	$117573120$	$3.627884$	$-272709010000/7073843073$	$1.08674$	$5.10569$	$[0, 0, 0, -27654375, 378909098750]$	\(y^2=x^3-27654375x+378909098750\)	3.4.0.a.1, 21.8.0-3.a.1.1, 132.8.0.?, 924.16.0.?	$[ ]$

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