Elliptic curve search results

Results (30 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
2850.l1	2850h1	2850.l	2850h	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{16} \cdot 3 \cdot 5^{2} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$768$	$0.210096$	$272199695/3735552$	$0.95892$	$3.23868$	$[1, 0, 1, 39, -452]$	\(y^2+xy+y=x^3+39x-452\)	228.2.0.?	$[]$
2850.u1	2850t1	2850.u	2850t	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{16} \cdot 3 \cdot 5^{8} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.205859938$	$1$		$8$	$3840$	$1.014814$	$272199695/3735552$	$0.95892$	$4.45257$	$[1, 1, 1, 987, -56469]$	\(y^2+xy+y=x^3+x^2+987x-56469\)	228.2.0.?	$[(135, 1532)]$
8550.h1	8550o1	8550.h	8550o	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{16} \cdot 3^{7} \cdot 5^{8} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1.054898886$	$1$		$4$	$30720$	$1.564121$	$272199695/3735552$	$0.95892$	$4.64034$	$[1, -1, 0, 8883, 1533541]$	\(y^2+xy=x^3-x^2+8883x+1533541\)	228.2.0.?	$[(-22, 1163)]$
8550.z1	8550v1	8550.z	8550v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.249052649$	$1$		$8$	$6144$	$0.759401$	$272199695/3735552$	$0.95892$	$3.57375$	$[1, -1, 1, 355, 12197]$	\(y^2+xy+y=x^3-x^2+355x+12197\)	228.2.0.?	$[(15, 136)]$
22800.v1	22800bx1	22800.v	22800bx	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{28} \cdot 3 \cdot 5^{2} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$3.306801165$	$1$		$2$	$18432$	$0.903243$	$272199695/3735552$	$0.95892$	$3.39645$	$[0, -1, 0, 632, 28912]$	\(y^2=x^3-x^2+632x+28912\)	228.2.0.?	$[(18, 214)]$
22800.cv1	22800dn1	22800.cv	22800dn	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{28} \cdot 3 \cdot 5^{8} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$3.242800136$	$1$		$2$	$92160$	$1.707962$	$272199695/3735552$	$0.95892$	$4.35879$	$[0, 1, 0, 15792, 3645588]$	\(y^2=x^3+x^2+15792x+3645588\)	228.2.0.?	$[(308, 6150)]$
54150.ba1	54150bh1	54150.ba	54150bh	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{16} \cdot 3 \cdot 5^{8} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$1382400$	$2.487034$	$272199695/3735552$	$0.95892$	$4.87060$	$[1, 0, 1, 356299, 390170048]$	\(y^2+xy+y=x^3+356299x+390170048\)	228.2.0.?	$[]$
54150.bw1	54150bt1	54150.bw	54150bt	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{16} \cdot 3 \cdot 5^{2} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.798401532$	$1$		$4$	$276480$	$1.682316$	$272199695/3735552$	$0.95892$	$3.98463$	$[1, 1, 1, 14252, 3127061]$	\(y^2+xy+y=x^3+x^2+14252x+3127061\)	228.2.0.?	$[(-59, 1473)]$
68400.dm1	68400gd1	68400.dm	68400gd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{7} \cdot 5^{8} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$13.05467181$	$1$		$0$	$737280$	$2.257267$	$272199695/3735552$	$0.95892$	$4.52074$	$[0, 0, 0, 142125, -98288750]$	\(y^2=x^3+142125x-98288750\)	228.2.0.?	$[(1846991/53, 2488684914/53)]$
68400.dn1	68400ey1	68400.dn	68400ey	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{7} \cdot 5^{2} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$147456$	$1.452549$	$272199695/3735552$	$0.95892$	$3.65336$	$[0, 0, 0, 5685, -786310]$	\(y^2=x^3+5685x-786310\)	228.2.0.?	$[]$
91200.ck1	91200t1	91200.ck	91200t	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{34} \cdot 3 \cdot 5^{2} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$147456$	$1.249817$	$272199695/3735552$	$0.95892$	$3.34832$	$[0, -1, 0, 2527, -233823]$	\(y^2=x^3-x^2+2527x-233823\)	228.2.0.?	$[]$
91200.cq1	91200gn1	91200.cq	91200gn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{34} \cdot 3 \cdot 5^{8} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$13.05432420$	$1$		$0$	$737280$	$2.054535$	$272199695/3735552$	$0.95892$	$4.19385$	$[0, -1, 0, 63167, 29101537]$	\(y^2=x^3-x^2+63167x+29101537\)	228.2.0.?	$[(929199/5, 895709768/5)]$
91200.gv1	91200el1	91200.gv	91200el	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{34} \cdot 3 \cdot 5^{8} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$4$	$2$	$0$	$737280$	$2.054535$	$272199695/3735552$	$0.95892$	$4.19385$	$[0, 1, 0, 63167, -29101537]$	\(y^2=x^3+x^2+63167x-29101537\)	228.2.0.?	$[]$
91200.hb1	91200hg1	91200.hb	91200hg	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{34} \cdot 3 \cdot 5^{2} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$8.168555413$	$1$		$0$	$147456$	$1.249817$	$272199695/3735552$	$0.95892$	$3.34832$	$[0, 1, 0, 2527, 233823]$	\(y^2=x^3+x^2+2527x+233823\)	228.2.0.?	$[(5901/5, 468324/5)]$
139650.bk1	139650jf1	139650.bk	139650jf	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{16} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1.892038732$	$1$		$2$	$294912$	$1.183050$	$272199695/3735552$	$0.95892$	$3.16027$	$[1, 1, 0, 1935, 156885]$	\(y^2+xy=x^3+x^2+1935x+156885\)	228.2.0.?	$[(706, 18463)]$
139650.ik1	139650m1	139650.ik	139650m	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{16} \cdot 3 \cdot 5^{8} \cdot 7^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$1474560$	$1.987770$	$272199695/3735552$	$0.95892$	$3.97539$	$[1, 0, 0, 48362, 19513892]$	\(y^2+xy=x^3+48362x+19513892\)	228.2.0.?	$[]$
162450.ba1	162450ds1	162450.ba	162450ds	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$2.026321305$	$1$		$2$	$2211840$	$2.231621$	$272199695/3735552$	$0.95892$	$4.16917$	$[1, -1, 0, 128268, -84302384]$	\(y^2+xy=x^3-x^2+128268x-84302384\)	228.2.0.?	$[(8840, 827324)]$
162450.dt1	162450e1	162450.dt	162450e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{16} \cdot 3^{7} \cdot 5^{8} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$3.755607077$	$1$		$2$	$11059200$	$3.036339$	$272199695/3735552$	$0.95892$	$4.97401$	$[1, -1, 1, 3206695, -10534591303]$	\(y^2+xy+y=x^3-x^2+3206695x-10534591303\)	228.2.0.?	$[(3045, 164176)]$
273600.hx1	273600hx1	273600.hx	273600hx	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{34} \cdot 3^{7} \cdot 5^{2} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$9.139296898$	$1$		$0$	$1179648$	$1.799122$	$272199695/3735552$	$0.95892$	$3.58102$	$[0, 0, 0, 22740, -6290480]$	\(y^2=x^3+22740x-6290480\)	228.2.0.?	$[(39884/11, 8098128/11)]$
273600.hy1	273600hy1	273600.hy	273600hy	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{34} \cdot 3^{7} \cdot 5^{8} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$5898240$	$2.603840$	$272199695/3735552$	$0.95892$	$4.35235$	$[0, 0, 0, 568500, -786310000]$	\(y^2=x^3+568500x-786310000\)	228.2.0.?	$[]$
273600.in1	273600in1	273600.in	273600in	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{34} \cdot 3^{7} \cdot 5^{2} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1.418985004$	$1$		$4$	$1179648$	$1.799122$	$272199695/3735552$	$0.95892$	$3.58102$	$[0, 0, 0, 22740, 6290480]$	\(y^2=x^3+22740x+6290480\)	228.2.0.?	$[(374, 8192)]$
273600.io1	273600io1	273600.io	273600io	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{34} \cdot 3^{7} \cdot 5^{8} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$5898240$	$2.603840$	$272199695/3735552$	$0.95892$	$4.35235$	$[0, 0, 0, 568500, 786310000]$	\(y^2=x^3+568500x+786310000\)	228.2.0.?	$[]$
344850.bd1	344850bd1	344850.bd	344850bd	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{16} \cdot 3 \cdot 5^{8} \cdot 11^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$5491200$	$2.213760$	$272199695/3735552$	$0.95892$	$3.90624$	$[1, 1, 0, 119425, 75757125]$	\(y^2+xy=x^3+x^2+119425x+75757125\)	228.2.0.?	$[]$
344850.gr1	344850gr1	344850.gr	344850gr	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{16} \cdot 3 \cdot 5^{2} \cdot 11^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$2.157233133$	$1$		$2$	$1098240$	$1.409042$	$272199695/3735552$	$0.95892$	$3.14891$	$[1, 0, 0, 4777, 606057]$	\(y^2+xy=x^3+4777x+606057\)	228.2.0.?	$[(-42, 597)]$
418950.dm1	418950dm1	418950.dm	418950dm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{16} \cdot 3^{7} \cdot 5^{8} \cdot 7^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$3.107732404$	$1$		$2$	$11796480$	$2.537075$	$272199695/3735552$	$0.95892$	$4.14721$	$[1, -1, 0, 435258, -526875084]$	\(y^2+xy=x^3-x^2+435258x-526875084\)	228.2.0.?	$[(1948, 86834)]$
418950.lx1	418950lx1	418950.lx	418950lx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.464355561$	$1$		$6$	$2359296$	$1.732357$	$272199695/3735552$	$0.95892$	$3.40126$	$[1, -1, 1, 17410, -4218483]$	\(y^2+xy+y=x^3-x^2+17410x-4218483\)	228.2.0.?	$[(233, 3411)]$
433200.cw1	433200cw1	433200.cw	433200cw	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{28} \cdot 3 \cdot 5^{8} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$33177600$	$3.180180$	$272199695/3735552$	$0.95892$	$4.73112$	$[0, -1, 0, 5700792, -24970883088]$	\(y^2=x^3-x^2+5700792x-24970883088\)	228.2.0.?	$[]$
433200.ig1	433200ig1	433200.ig	433200ig	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{28} \cdot 3 \cdot 5^{2} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$6635520$	$2.375462$	$272199695/3735552$	$0.95892$	$3.98709$	$[0, 1, 0, 228032, -199675852]$	\(y^2=x^3+x^2+228032x-199675852\)	228.2.0.?	$[]$
481650.v1	481650v1	481650.v	481650v	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{16} \cdot 3 \cdot 5^{8} \cdot 13^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$7.395906433$	$1$		$0$	$8294400$	$2.297291$	$272199695/3735552$	$0.95892$	$3.88310$	$[1, 1, 0, 166800, -124896000]$	\(y^2+xy=x^3+x^2+166800x-124896000\)	228.2.0.?	$[(201056/19, 79577712/19)]$
481650.hv1	481650hv1	481650.hv	481650hv	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{16} \cdot 3 \cdot 5^{2} \cdot 13^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$1658880$	$1.492571$	$272199695/3735552$	$0.95892$	$3.14511$	$[1, 0, 0, 6672, -999168]$	\(y^2+xy=x^3+6672x-999168\)	228.2.0.?	$[]$