Elliptic curve search results

Results (31 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
740.b1	740b2	740.b	740b	$2$	$3$	$2^{2} \cdot 5 \cdot 37$	$2^{8} \cdot 5^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$222$	$16$	$0$	$2.556143092$	$1$		$0$	$432$	$0.875587$	$750484394082304/578125$	$1.10880$	$6.02377$	$[0, 1, 0, -12021, -511321]$	$y^2=x^3+x^2-12021x-511321$	3.8.0-3.a.1.1, 74.2.0.?, 222.16.0.?	$[(-2291/6, 125/6)]$
2960.d1	2960i2	2960.d	2960i	$2$	$3$	$2^{4} \cdot 5 \cdot 37$	$2^{8} \cdot 5^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$444$	$16$	$0$	$0.443491995$	$1$		$4$	$1728$	$0.875587$	$750484394082304/578125$	$1.10880$	$4.97901$	$[0, -1, 0, -12021, 511321]$	$y^2=x^3-x^2-12021x+511321$	3.4.0.a.1, 12.8.0-3.a.1.2, 74.2.0.?, 222.8.0.?, 444.16.0.?	$[(81, 250)]$
3700.c1	3700b2	3700.c	3700b	$2$	$3$	$2^{2} \cdot 5^{2} \cdot 37$	$2^{8} \cdot 5^{12} \cdot 37$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1110$	$16$	$0$	$1$	$1$		$0$	$10368$	$1.680305$	$750484394082304/578125$	$1.10880$	$6.01911$	$[0, -1, 0, -300533, -63314063]$	$y^2=x^3-x^2-300533x-63314063$	3.4.0.a.1, 15.8.0-3.a.1.1, 74.2.0.?, 222.8.0.?, 1110.16.0.?	$[]$
6660.c1	6660e2	6660.c	6660e	$2$	$3$	$2^{2} \cdot 3^{2} \cdot 5 \cdot 37$	$2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 37$	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$222$	$16$	$0$	$2.417815278$	$1$		$6$	$12960$	$1.424892$	$750484394082304/578125$	$1.10880$	$5.26911$	$[0, 0, 0, -108192, 13697476]$	$y^2=x^3-108192x+13697476$	3.8.0-3.a.1.2, 74.2.0.?, 222.16.0.?	$[(117, 1625)]$
11840.s1	11840j2	11840.s	11840j	$2$	$3$	$2^{6} \cdot 5 \cdot 37$	$2^{14} \cdot 5^{6} \cdot 37$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$888$	$16$	$0$	$1$	$1$		$0$	$13824$	$1.222160$	$750484394082304/578125$	$1.10880$	$4.68650$	$[0, -1, 0, -48085, -4042483]$	$y^2=x^3-x^2-48085x-4042483$	3.4.0.a.1, 24.8.0-3.a.1.1, 74.2.0.?, 222.8.0.?, 888.16.0.?	$[]$
11840.bd1	11840bh2	11840.bd	11840bh	$2$	$3$	$2^{6} \cdot 5 \cdot 37$	$2^{14} \cdot 5^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$888$	$16$	$0$	$0.898372353$	$1$		$2$	$13824$	$1.222160$	$750484394082304/578125$	$1.10880$	$4.68650$	$[0, 1, 0, -48085, 4042483]$	$y^2=x^3+x^2-48085x+4042483$	3.4.0.a.1, 24.8.0-3.a.1.3, 74.2.0.?, 222.8.0.?, 888.16.0.?	$[(126, 5)]$
14800.bc1	14800k2	14800.bc	14800k	$2$	$3$	$2^{4} \cdot 5^{2} \cdot 37$	$2^{8} \cdot 5^{12} \cdot 37$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2220$	$16$	$0$	$1$	$1$		$0$	$41472$	$1.680305$	$750484394082304/578125$	$1.10880$	$5.15013$	$[0, 1, 0, -300533, 63314063]$	$y^2=x^3+x^2-300533x+63314063$	3.4.0.a.1, 60.8.0-3.a.1.1, 74.2.0.?, 222.8.0.?, 2220.16.0.?	$[]$
26640.br1	26640cc2	26640.br	26640cc	$2$	$3$	$2^{4} \cdot 3^{2} \cdot 5 \cdot 37$	$2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$444$	$16$	$0$	$1.792319261$	$1$		$4$	$51840$	$1.424892$	$750484394082304/578125$	$1.10880$	$4.55229$	$[0, 0, 0, -108192, -13697476]$	$y^2=x^3-108192x-13697476$	3.4.0.a.1, 12.8.0-3.a.1.1, 74.2.0.?, 222.8.0.?, 444.16.0.?	$[(-190, 2)]$
27380.e1	27380c2	27380.e	27380c	$2$	$3$	$2^{2} \cdot 5 \cdot 37^{2}$	$2^{8} \cdot 5^{6} \cdot 37^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$222$	$16$	$0$	$1.208388418$	$1$		$4$	$590976$	$2.681046$	$750484394082304/578125$	$1.10880$	$6.01537$	$[0, 1, 0, -16457205, -25702458025]$	$y^2=x^3+x^2-16457205x-25702458025$	3.4.0.a.1, 6.8.0-3.a.1.2, 74.2.0.?, 111.8.0.?, 222.16.0.?	$[(6265, 342250)]$
33300.q1	33300h2	33300.q	33300h	$2$	$3$	$2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 37$	$2^{8} \cdot 3^{6} \cdot 5^{12} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1110$	$16$	$0$	$8.305932713$	$1$		$0$	$311040$	$2.229610$	$750484394082304/578125$	$1.10880$	$5.38207$	$[0, 0, 0, -2704800, 1712184500]$	$y^2=x^3-2704800x+1712184500$	3.4.0.a.1, 15.8.0-3.a.1.2, 74.2.0.?, 222.8.0.?, 1110.16.0.?	$[(273845/17, 487825/17)]$
36260.e1	36260p2	36260.e	36260p	$2$	$3$	$2^{2} \cdot 5 \cdot 7^{2} \cdot 37$	$2^{8} \cdot 5^{6} \cdot 7^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1554$	$16$	$0$	$1.390051932$	$1$		$2$	$163296$	$1.848541$	$750484394082304/578125$	$1.10880$	$4.90285$	$[0, -1, 0, -589045, 174205025]$	$y^2=x^3-x^2-589045x+174205025$	3.4.0.a.1, 21.8.0-3.a.1.2, 74.2.0.?, 222.8.0.?, 1554.16.0.?	$[(440, 125)]$
59200.bf1	59200cx2	59200.bf	59200cx	$2$	$3$	$2^{6} \cdot 5^{2} \cdot 37$	$2^{14} \cdot 5^{12} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$3.092903555$	$1$		$2$	$331776$	$2.026878$	$750484394082304/578125$	$1.10880$	$4.87888$	$[0, -1, 0, -1202133, 507714637]$	$y^2=x^3-x^2-1202133x+507714637$	3.4.0.a.1, 74.2.0.?, 120.8.0.?, 222.8.0.?, 4440.16.0.?	$[(612, 925)]$
59200.ct1	59200w2	59200.ct	59200w	$2$	$3$	$2^{6} \cdot 5^{2} \cdot 37$	$2^{14} \cdot 5^{12} \cdot 37$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$1$	$9$	$3$	$0$	$331776$	$2.026878$	$750484394082304/578125$	$1.10880$	$4.87888$	$[0, 1, 0, -1202133, -507714637]$	$y^2=x^3+x^2-1202133x-507714637$	3.4.0.a.1, 74.2.0.?, 120.8.0.?, 222.8.0.?, 4440.16.0.?	$[]$
89540.h1	89540g2	89540.h	89540g	$2$	$3$	$2^{2} \cdot 5 \cdot 11^{2} \cdot 37$	$2^{8} \cdot 5^{6} \cdot 11^{6} \cdot 37$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2442$	$16$	$0$	$1$	$1$		$0$	$583200$	$2.074535$	$750484394082304/578125$	$1.10880$	$4.75199$	$[0, 1, 0, -1454581, 674749975]$	$y^2=x^3+x^2-1454581x+674749975$	3.4.0.a.1, 33.8.0-3.a.1.1, 74.2.0.?, 222.8.0.?, 2442.16.0.?	$[]$
106560.be1	106560bh2	106560.be	106560bh	$2$	$3$	$2^{6} \cdot 3^{2} \cdot 5 \cdot 37$	$2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 37$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$888$	$16$	$0$	$1$	$1$		$0$	$414720$	$1.771465$	$750484394082304/578125$	$1.10880$	$4.36640$	$[0, 0, 0, -432768, 109579808]$	$y^2=x^3-432768x+109579808$	3.4.0.a.1, 24.8.0-3.a.1.2, 74.2.0.?, 222.8.0.?, 888.16.0.?	$[]$
106560.cl1	106560ef2	106560.cl	106560ef	$2$	$3$	$2^{6} \cdot 3^{2} \cdot 5 \cdot 37$	$2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$888$	$16$	$0$	$19.54892828$	$1$		$0$	$414720$	$1.771465$	$750484394082304/578125$	$1.10880$	$4.36640$	$[0, 0, 0, -432768, -109579808]$	$y^2=x^3-432768x-109579808$	3.4.0.a.1, 24.8.0-3.a.1.4, 74.2.0.?, 222.8.0.?, 888.16.0.?	$[(-54622678119/11996, 5704339223875/11996)]$
109520.i1	109520t2	109520.i	109520t	$2$	$3$	$2^{4} \cdot 5 \cdot 37^{2}$	$2^{8} \cdot 5^{6} \cdot 37^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$444$	$16$	$0$	$0.556779558$	$1$		$0$	$2363904$	$2.681046$	$750484394082304/578125$	$1.10880$	$5.29672$	$[0, -1, 0, -16457205, 25702458025]$	$y^2=x^3-x^2-16457205x+25702458025$	3.4.0.a.1, 12.8.0-3.a.1.4, 74.2.0.?, 222.8.0.?, 444.16.0.?	$[(9165/2, 34225/2)]$
125060.j1	125060e2	125060.j	125060e	$2$	$3$	$2^{2} \cdot 5 \cdot 13^{2} \cdot 37$	$2^{8} \cdot 5^{6} \cdot 13^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2886$	$16$	$0$	$2.208525176$	$1$		$0$	$933120$	$2.158062$	$750484394082304/578125$	$1.10880$	$4.70212$	$[0, 1, 0, -2031605, -1115245897]$	$y^2=x^3+x^2-2031605x-1115245897$	3.4.0.a.1, 39.8.0-3.a.1.2, 74.2.0.?, 222.8.0.?, 2886.16.0.?	$[(-40351/7, 8450/7)]$
133200.ck1	133200ce2	133200.ck	133200ce	$2$	$3$	$2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37$	$2^{8} \cdot 3^{6} \cdot 5^{12} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2220$	$16$	$0$	$14.21592071$	$1$		$0$	$1244160$	$2.229610$	$750484394082304/578125$	$1.10880$	$4.74975$	$[0, 0, 0, -2704800, -1712184500]$	$y^2=x^3-2704800x-1712184500$	3.4.0.a.1, 60.8.0-3.a.1.2, 74.2.0.?, 222.8.0.?, 2220.16.0.?	$[(-47191554/223, 183160606/223)]$
136900.c1	136900c2	136900.c	136900c	$2$	$3$	$2^{2} \cdot 5^{2} \cdot 37^{2}$	$2^{8} \cdot 5^{12} \cdot 37^{7}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1110$	$16$	$0$	$1$	$9$	$3$	$0$	$14183424$	$3.485764$	$750484394082304/578125$	$1.10880$	$6.01328$	$[0, -1, 0, -411430133, -3211984392863]$	$y^2=x^3-x^2-411430133x-3211984392863$	3.4.0.a.1, 30.8.0-3.a.1.2, 74.2.0.?, 222.8.0.?, 555.8.0.?, $\ldots$	$[]$
145040.bw1	145040ba2	145040.bw	145040ba	$2$	$3$	$2^{4} \cdot 5 \cdot 7^{2} \cdot 37$	$2^{8} \cdot 5^{6} \cdot 7^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3108$	$16$	$0$	$4.836674531$	$1$		$0$	$653184$	$1.848541$	$750484394082304/578125$	$1.10880$	$4.33095$	$[0, 1, 0, -589045, -174205025]$	$y^2=x^3+x^2-589045x-174205025$	3.4.0.a.1, 74.2.0.?, 84.8.0.?, 222.8.0.?, 3108.16.0.?	$[(-3989/3, 190/3)]$
181300.x1	181300y2	181300.x	181300y	$2$	$3$	$2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 37$	$2^{8} \cdot 5^{12} \cdot 7^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$7770$	$16$	$0$	$4.371163625$	$1$		$2$	$3919104$	$2.653259$	$750484394082304/578125$	$1.10880$	$5.04868$	$[0, 1, 0, -14726133, 21746175863]$	$y^2=x^3+x^2-14726133x+21746175863$	3.4.0.a.1, 74.2.0.?, 105.8.0.?, 222.8.0.?, 7770.16.0.?	$[(1753, 36350)]$
213860.d1	213860d2	213860.d	213860d	$2$	$3$	$2^{2} \cdot 5 \cdot 17^{2} \cdot 37$	$2^{8} \cdot 5^{6} \cdot 17^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3774$	$16$	$0$	$4.340021816$	$1$		$2$	$2239488$	$2.292194$	$750484394082304/578125$	$1.10880$	$4.62771$	$[0, -1, 0, -3474165, -2491275263]$	$y^2=x^3-x^2-3474165x-2491275263$	3.4.0.a.1, 51.8.0-3.a.1.1, 74.2.0.?, 222.8.0.?, 3774.16.0.?	$[(13504, 1553375)]$
246420.h1	246420h2	246420.h	246420h	$2$	$3$	$2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2}$	$2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 37^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$222$	$16$	$0$	$6.861788502$	$1$		$0$	$17729280$	$3.230350$	$750484394082304/578125$	$1.10880$	$5.48169$	$[0, 0, 0, -148114848, 693818251828]$	$y^2=x^3-148114848x+693818251828$	3.4.0.a.1, 6.8.0-3.a.1.1, 74.2.0.?, 111.8.0.?, 222.16.0.?	$[(1007473/12, 7467895/12)]$
267140.c1	267140c2	267140.c	267140c	$2$	$3$	$2^{2} \cdot 5 \cdot 19^{2} \cdot 37$	$2^{8} \cdot 5^{6} \cdot 19^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4218$	$16$	$0$	$1.013682935$	$1$		$4$	$2985984$	$2.347805$	$750484394082304/578125$	$1.10880$	$4.59873$	$[0, -1, 0, -4339701, 3481112785]$	$y^2=x^3-x^2-4339701x+3481112785$	3.4.0.a.1, 57.8.0-3.a.1.2, 74.2.0.?, 222.8.0.?, 4218.16.0.?	$[(1191, 722)]$
326340.bo1	326340bo2	326340.bo	326340bo	$2$	$3$	$2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37$	$2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1554$	$16$	$0$	$15.63972661$	$1$		$0$	$4898880$	$2.397846$	$750484394082304/578125$	$1.10880$	$4.57352$	$[0, 0, 0, -5301408, -4698234268]$	$y^2=x^3-5301408x-4698234268$	3.4.0.a.1, 21.8.0-3.a.1.1, 74.2.0.?, 222.8.0.?, 1554.16.0.?	$[(-1096656391/908, 17119002125/908)]$
358160.m1	358160m2	358160.m	358160m	$2$	$3$	$2^{4} \cdot 5 \cdot 11^{2} \cdot 37$	$2^{8} \cdot 5^{6} \cdot 11^{6} \cdot 37$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4884$	$16$	$0$	$21.18219228$	$1$		$2$	$2332800$	$2.074535$	$750484394082304/578125$	$1.10880$	$4.23688$	$[0, -1, 0, -1454581, -674749975]$	$y^2=x^3-x^2-1454581x-674749975$	3.4.0.a.1, 74.2.0.?, 132.8.0.?, 222.8.0.?, 4884.16.0.?	$[(1613, 34250), (-34088/7, 5375/7)]$
391460.m1	391460m2	391460.m	391460m	$2$	$3$	$2^{2} \cdot 5 \cdot 23^{2} \cdot 37$	$2^{8} \cdot 5^{6} \cdot 23^{6} \cdot 37$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$5106$	$16$	$0$	$1$	$1$		$0$	$5474304$	$2.443333$	$750484394082304/578125$	$1.10880$	$4.55129$	$[0, 1, 0, -6359285, 6170368775]$	$y^2=x^3+x^2-6359285x+6170368775$	3.4.0.a.1, 69.8.0-3.a.1.1, 74.2.0.?, 222.8.0.?, 5106.16.0.?	$[]$
438080.z1	438080z2	438080.z	438080z	$2$	$3$	$2^{6} \cdot 5 \cdot 37^{2}$	$2^{14} \cdot 5^{6} \cdot 37^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$888$	$16$	$0$	$20.56074869$	$1$		$0$	$18911232$	$3.027618$	$750484394082304/578125$	$1.10880$	$5.05162$	$[0, -1, 0, -65828821, -205553835379]$	$y^2=x^3-x^2-65828821x-205553835379$	3.4.0.a.1, 24.8.0-3.a.1.5, 74.2.0.?, 222.8.0.?, 888.16.0.?	$[(-5564603366359/34456, 1373936493699125/34456)]$
438080.ck1	438080ck2	438080.ck	438080ck	$2$	$3$	$2^{6} \cdot 5 \cdot 37^{2}$	$2^{14} \cdot 5^{6} \cdot 37^{7}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$888$	$16$	$0$	$1$	$1$		$0$	$18911232$	$3.027618$	$750484394082304/578125$	$1.10880$	$5.05162$	$[0, 1, 0, -65828821, 205553835379]$	$y^2=x^3+x^2-65828821x+205553835379$	3.4.0.a.1, 24.8.0-3.a.1.7, 74.2.0.?, 222.8.0.?, 888.16.0.?	$[]$
447700.g1	447700g2	447700.g	447700g	$2$	$3$	$2^{2} \cdot 5^{2} \cdot 11^{2} \cdot 37$	$2^{8} \cdot 5^{12} \cdot 11^{6} \cdot 37$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$12210$	$16$	$0$	$12.34689319$	$1$		$0$	$13996800$	$2.879253$	$750484394082304/578125$	$1.10880$	$4.90636$	$[0, -1, 0, -36364533, 84416475937]$	$y^2=x^3-x^2-36364533x+84416475937$	3.4.0.a.1, 74.2.0.?, 165.8.0.?, 222.8.0.?, 12210.16.0.?	$[(12045112/59, 452067575/59)]$

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