Elliptic curve search results

Results (32 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
2600.a1	2600k1	2600.a	2600k	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{2} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.141482286$	$1$		$8$	$864$	$0.100664$	$17280000/2197$	$1.04671$	$3.23391$	$[0, 0, 0, -100, 340]$	\(y^2=x^3-100x+340\)	26.2.0.a.1	$[(-4, 26)]$
2600.m1	2600e1	2600.m	2600e	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{8} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$4320$	$0.905382$	$17280000/2197$	$1.04671$	$4.46198$	$[0, 0, 0, -2500, 42500]$	\(y^2=x^3-2500x+42500\)	26.2.0.a.1	$[]$
5200.a1	5200i1	5200.a	5200i	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{8} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$8640$	$0.905382$	$17280000/2197$	$1.04671$	$4.10052$	$[0, 0, 0, -2500, -42500]$	\(y^2=x^3-2500x-42500\)	26.2.0.a.1	$[]$
5200.bk1	5200g1	5200.bk	5200g	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{2} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1728$	$0.100664$	$17280000/2197$	$1.04671$	$2.97194$	$[0, 0, 0, -100, -340]$	\(y^2=x^3-100x-340\)	26.2.0.a.1	$[]$
20800.d1	20800ct1	20800.d	20800ct	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 5^{2} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$13824$	$0.447237$	$17280000/2197$	$1.04671$	$2.97585$	$[0, 0, 0, -400, -2720]$	\(y^2=x^3-400x-2720\)	26.2.0.a.1	$[]$
20800.g1	20800cd1	20800.g	20800cd	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 5^{8} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.569676945$	$1$		$4$	$69120$	$1.251957$	$17280000/2197$	$1.04671$	$3.94708$	$[0, 0, 0, -10000, 340000]$	\(y^2=x^3-10000x+340000\)	26.2.0.a.1	$[(25, 325)]$
20800.ea1	20800ef1	20800.ea	20800ef	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 5^{8} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$69120$	$1.251957$	$17280000/2197$	$1.04671$	$3.94708$	$[0, 0, 0, -10000, -340000]$	\(y^2=x^3-10000x-340000\)	26.2.0.a.1	$[]$
20800.eb1	20800p1	20800.eb	20800p	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 5^{2} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$5.698680065$	$1$		$0$	$13824$	$0.447237$	$17280000/2197$	$1.04671$	$2.97585$	$[0, 0, 0, -400, 2720]$	\(y^2=x^3-400x+2720\)	26.2.0.a.1	$[(-191/3, 1097/3)]$
23400.n1	23400q1	23400.n	23400q	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.497537238$	$1$		$4$	$12096$	$0.649970$	$17280000/2197$	$1.04671$	$3.18283$	$[0, 0, 0, -900, -9180]$	\(y^2=x^3-900x-9180\)	26.2.0.a.1	$[(-14, 26)]$
23400.bj1	23400bq1	23400.bj	23400bq	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$60480$	$1.454689$	$17280000/2197$	$1.04671$	$4.14268$	$[0, 0, 0, -22500, -1147500]$	\(y^2=x^3-22500x-1147500\)	26.2.0.a.1	$[]$
33800.b1	33800l1	33800.b	33800l	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 5^{2} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.364401208$	$1$		$6$	$145152$	$1.383139$	$17280000/2197$	$1.04671$	$3.91427$	$[0, 0, 0, -16900, 746980]$	\(y^2=x^3-16900x+746980\)	26.2.0.a.1	$[(286, 4394)]$
33800.bb1	33800bc1	33800.bb	33800bc	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 5^{8} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$3.115527684$	$1$		$0$	$725760$	$2.187859$	$17280000/2197$	$1.04671$	$4.84028$	$[0, 0, 0, -422500, 93372500]$	\(y^2=x^3-422500x+93372500\)	26.2.0.a.1	$[(1300/3, 160550/3)]$
46800.bi1	46800bl1	46800.bi	46800bl	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$2.757127643$	$1$		$2$	$120960$	$1.454689$	$17280000/2197$	$1.04671$	$3.87566$	$[0, 0, 0, -22500, 1147500]$	\(y^2=x^3-22500x+1147500\)	26.2.0.a.1	$[(25, 775)]$
46800.ea1	46800be1	46800.ea	46800be	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1.684039513$	$1$		$2$	$24192$	$0.649970$	$17280000/2197$	$1.04671$	$2.97767$	$[0, 0, 0, -900, 9180]$	\(y^2=x^3-900x+9180\)	26.2.0.a.1	$[(1, 91)]$
67600.f1	67600bd1	67600.f	67600bd	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 5^{8} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1451520$	$2.187859$	$17280000/2197$	$1.04671$	$4.53860$	$[0, 0, 0, -422500, -93372500]$	\(y^2=x^3-422500x-93372500\)	26.2.0.a.1	$[]$
67600.di1	67600r1	67600.di	67600r	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 5^{2} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$6.390177493$	$1$		$0$	$290304$	$1.383139$	$17280000/2197$	$1.04671$	$3.67031$	$[0, 0, 0, -16900, -746980]$	\(y^2=x^3-16900x-746980\)	26.2.0.a.1	$[(-30719/24, 709631/24)]$
127400.a1	127400ba1	127400.a	127400ba	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{8} \cdot 7^{6} \cdot 13^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.402547831$	$1$		$24$	$1555200$	$1.878338$	$17280000/2197$	$1.04671$	$3.97795$	$[0, 0, 0, -122500, -14577500]$	\(y^2=x^3-122500x-14577500\)	26.2.0.a.1	$[(1050, 31850), (-250, 650)]$
127400.cg1	127400bs1	127400.cg	127400bs	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{2} \cdot 7^{6} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$5.630676734$	$1$		$0$	$311040$	$1.073618$	$17280000/2197$	$1.04671$	$3.15647$	$[0, 0, 0, -4900, -116620]$	\(y^2=x^3-4900x-116620\)	26.2.0.a.1	$[(-1799/6, 12691/6)]$
187200.dv1	187200lh1	187200.dv	187200lh	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$193536$	$0.996543$	$17280000/2197$	$1.04671$	$2.98022$	$[0, 0, 0, -3600, -73440]$	\(y^2=x^3-3600x-73440\)	26.2.0.a.1	$[]$
187200.ey1	187200t1	187200.ey	187200t	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{6} \cdot 5^{8} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$5.905432006$	$1$		$0$	$967680$	$1.801262$	$17280000/2197$	$1.04671$	$3.77566$	$[0, 0, 0, -90000, 9180000]$	\(y^2=x^3-90000x+9180000\)	26.2.0.a.1	$[(961/3, 23959/3)]$
187200.lz1	187200jx1	187200.lz	187200jx	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{6} \cdot 5^{8} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$967680$	$1.801262$	$17280000/2197$	$1.04671$	$3.77566$	$[0, 0, 0, -90000, -9180000]$	\(y^2=x^3-90000x-9180000\)	26.2.0.a.1	$[]$
187200.ml1	187200fq1	187200.ml	187200fq	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$10.34870888$	$1$		$0$	$193536$	$0.996543$	$17280000/2197$	$1.04671$	$2.98022$	$[0, 0, 0, -3600, 73440]$	\(y^2=x^3-3600x+73440\)	26.2.0.a.1	$[(9529/25, 2322667/25)]$
254800.f1	254800f1	254800.f	254800f	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{2} \cdot 7^{6} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$622080$	$1.073618$	$17280000/2197$	$1.04671$	$2.98071$	$[0, 0, 0, -4900, 116620]$	\(y^2=x^3-4900x+116620\)	26.2.0.a.1	$[]$
254800.hp1	254800hp1	254800.hp	254800hp	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{8} \cdot 7^{6} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$3110400$	$1.878338$	$17280000/2197$	$1.04671$	$3.75645$	$[0, 0, 0, -122500, 14577500]$	\(y^2=x^3-122500x+14577500\)	26.2.0.a.1	$[]$
270400.d1	270400d1	270400.d	270400d	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{14} \cdot 5^{8} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$11612160$	$2.534431$	$17280000/2197$	$1.04671$	$4.36807$	$[0, 0, 0, -1690000, 746980000]$	\(y^2=x^3-1690000x+746980000\)	26.2.0.a.1	$[]$
270400.e1	270400e1	270400.e	270400e	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{14} \cdot 5^{2} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$2322432$	$1.729712$	$17280000/2197$	$1.04671$	$3.59601$	$[0, 0, 0, -67600, -5975840]$	\(y^2=x^3-67600x-5975840\)	26.2.0.a.1	$[]$
270400.ki1	270400ki1	270400.ki	270400ki	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{14} \cdot 5^{2} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$19.75892127$	$1$		$0$	$2322432$	$1.729712$	$17280000/2197$	$1.04671$	$3.59601$	$[0, 0, 0, -67600, 5975840]$	\(y^2=x^3-67600x+5975840\)	26.2.0.a.1	$[(-110330519/4299, 200671173249859/4299)]$
270400.kj1	270400kj1	270400.kj	270400kj	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{14} \cdot 5^{8} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$33.45931390$	$1$		$0$	$11612160$	$2.534431$	$17280000/2197$	$1.04671$	$4.36807$	$[0, 0, 0, -1690000, -746980000]$	\(y^2=x^3-1690000x-746980000\)	26.2.0.a.1	$[(-17490155460432551/5731170, 262091204750182732036957/5731170)]$
304200.bo1	304200bo1	304200.bo	304200bo	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$6.438564376$	$1$		$2$	$10160640$	$2.737164$	$17280000/2197$	$1.04671$	$4.52001$	$[0, 0, 0, -3802500, -2521057500]$	\(y^2=x^3-3802500x-2521057500\)	26.2.0.a.1	$[(-1286, 15562)]$
304200.ef1	304200ef1	304200.ef	304200ef	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$4.415317657$	$1$		$0$	$2032128$	$1.932444$	$17280000/2197$	$1.04671$	$3.75515$	$[0, 0, 0, -152100, -20168460]$	\(y^2=x^3-152100x-20168460\)	26.2.0.a.1	$[(-6071/5, 195533/5)]$
314600.e1	314600e1	314600.e	314600e	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{2} \cdot 11^{6} \cdot 13^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$2.734285940$	$1$		$10$	$1209600$	$1.299612$	$17280000/2197$	$1.04671$	$3.14530$	$[0, 0, 0, -12100, -452540]$	\(y^2=x^3-12100x-452540\)	26.2.0.a.1	$[(-66, 242), (176, 1694)]$
314600.co1	314600co1	314600.co	314600co	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{8} \cdot 11^{6} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$5.611734471$	$1$		$0$	$6048000$	$2.104332$	$17280000/2197$	$1.04671$	$3.90812$	$[0, 0, 0, -302500, -56567500]$	\(y^2=x^3-302500x-56567500\)	26.2.0.a.1	$[(13849/3, 1508507/3)]$