Elliptic curve search results

Results (32 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
1425.b1	1425e1	1425.b	1425e	$1$	$1$	\( 3 \cdot 5^{2} \cdot 19 \)	\( - 3^{7} \cdot 5^{4} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$1008$	$0.601016$	$17446602575/15000633$	$0.97617$	$4.13391$	$1$	$[1, 1, 1, 462, 2856]$	\(y^2+xy+y=x^3+x^2+462x+2856\)	228.2.0.?	$[ ]$	$1$
1425.h1	1425f1	1425.h	1425f	$1$	$1$	\( 3 \cdot 5^{2} \cdot 19 \)	\( - 3^{7} \cdot 5^{10} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$5040$	$1.405735$	$17446602575/15000633$	$0.97617$	$5.46367$	$1$	$[1, 0, 1, 11549, 333923]$	\(y^2+xy+y=x^3+11549x+333923\)	228.2.0.?	$[ ]$	$1$
4275.f1	4275h1	4275.f	4275h	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 3^{13} \cdot 5^{10} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$40320$	$1.955042$	$17446602575/15000633$	$0.97617$	$5.53415$	$1$	$[1, -1, 1, 103945, -9015928]$	\(y^2+xy+y=x^3-x^2+103945x-9015928\)	228.2.0.?	$[ ]$	$1$
4275.l1	4275n1	4275.l	4275n	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 3^{13} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.869995144$	$1$		$2$	$8064$	$1.150322$	$17446602575/15000633$	$0.97617$	$4.37912$	$1$	$[1, -1, 0, 4158, -72959]$	\(y^2+xy=x^3-x^2+4158x-72959\)	228.2.0.?	$[(104, 1163)]$	$1$
22800.r1	22800cb1	22800.r	22800cb	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{10} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$3.817316281$	$1$		$2$	$322560$	$2.098881$	$17446602575/15000633$	$0.97617$	$4.78295$	$1$	$[0, -1, 0, 184792, -21371088]$	\(y^2=x^3-x^2+184792x-21371088\)	228.2.0.?	$[(346, 9158)]$	$1$
22800.ct1	22800dq1	22800.ct	22800dq	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.419088342$	$1$		$6$	$64512$	$1.294163$	$17446602575/15000633$	$0.97617$	$3.82061$	$1$	$[0, 1, 0, 7392, -168012]$	\(y^2=x^3+x^2+7392x-168012\)	228.2.0.?	$[(84, 1026)]$	$1$
27075.g1	27075h1	27075.g	27075h	$1$	$1$	\( 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 3^{7} \cdot 5^{10} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$9$	$3$	$0$	$1814400$	$2.877956$	$17446602575/15000633$	$0.97617$	$5.61840$	$1$	$[1, 1, 1, 4169362, -2282040844]$	\(y^2+xy+y=x^3+x^2+4169362x-2282040844\)	228.2.0.?	$[ ]$	$1$
27075.t1	27075v1	27075.t	27075v	$1$	$1$	\( 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 3^{7} \cdot 5^{4} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$362880$	$2.073235$	$17446602575/15000633$	$0.97617$	$4.67226$	$1$	$[1, 0, 1, 166774, -18256327]$	\(y^2+xy+y=x^3+166774x-18256327\)	228.2.0.?	$[ ]$	$1$
68400.dv1	68400fc1	68400.dv	68400fc	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{13} \cdot 5^{10} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$2580480$	$2.648190$	$17446602575/15000633$	$0.97617$	$4.90305$	$1$	$[0, 0, 0, 1663125, 575356250]$	\(y^2=x^3+1663125x+575356250\)	228.2.0.?	$[ ]$	$1$
68400.dw1	68400gi1	68400.dw	68400gi	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{13} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.850153328$	$1$		$4$	$516096$	$1.843470$	$17446602575/15000633$	$0.97617$	$4.03567$	$1$	$[0, 0, 0, 66525, 4602850]$	\(y^2=x^3+66525x+4602850\)	228.2.0.?	$[(-25, 1710)]$	$1$
69825.s1	69825ci1	69825.s	69825ci	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 3^{7} \cdot 5^{4} \cdot 7^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.148040462$	$1$		$10$	$387072$	$1.573971$	$17446602575/15000633$	$0.97617$	$3.73826$	$1$	$[1, 0, 0, 22637, -911758]$	\(y^2+xy=x^3+22637x-911758\)	228.2.0.?	$[(347, 6809)]$	$1$
69825.bv1	69825q1	69825.bv	69825q	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 3^{7} \cdot 5^{10} \cdot 7^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$10.42013466$	$1$		$0$	$1935360$	$2.378689$	$17446602575/15000633$	$0.97617$	$4.60404$	$1$	$[1, 1, 0, 565925, -113969750]$	\(y^2+xy=x^3+x^2+565925x-113969750\)	228.2.0.?	$[(572354/43, 746108402/43)]$	$1$
81225.j1	81225bp1	81225.j	81225bp	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 3^{13} \cdot 5^{4} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$2903040$	$2.622543$	$17446602575/15000633$	$0.97617$	$4.80129$	$1$	$[1, -1, 1, 1500970, 492920822]$	\(y^2+xy+y=x^3-x^2+1500970x+492920822\)	228.2.0.?	$[ ]$	$1$
81225.bk1	81225ba1	81225.bk	81225ba	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 3^{13} \cdot 5^{10} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$14.60599715$	$1$		$0$	$14515200$	$3.427261$	$17446602575/15000633$	$0.97617$	$5.65548$	$1$	$[1, -1, 0, 37524258, 61652627041]$	\(y^2+xy=x^3-x^2+37524258x+61652627041\)	228.2.0.?	$[(329726720/311, 14349107358409/311)]$	$1$
91200.cb1	91200z1	91200.cb	91200z	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{18} \cdot 3^{7} \cdot 5^{10} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$2580480$	$2.445457$	$17446602575/15000633$	$0.97617$	$4.56653$	$1$	$[0, -1, 0, 739167, 170229537]$	\(y^2=x^3-x^2+739167x+170229537\)	228.2.0.?	$[ ]$	$1$
91200.cx1	91200gr1	91200.cx	91200gr	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{18} \cdot 3^{7} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$3.619358656$	$1$		$2$	$516096$	$1.640738$	$17446602575/15000633$	$0.97617$	$3.72100$	$1$	$[0, -1, 0, 29567, -1373663]$	\(y^2=x^3-x^2+29567x-1373663\)	228.2.0.?	$[(87, 1360)]$	$1$
91200.go1	91200eo1	91200.go	91200eo	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{18} \cdot 3^{7} \cdot 5^{4} \cdot 19^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.169357711$	$1$		$32$	$516096$	$1.640738$	$17446602575/15000633$	$0.97617$	$3.72100$	$1$	$[0, 1, 0, 29567, 1373663]$	\(y^2=x^3+x^2+29567x+1373663\)	228.2.0.?	$[(173, 3420), (59, 1824)]$	$1$
91200.hk1	91200hn1	91200.hk	91200hn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{18} \cdot 3^{7} \cdot 5^{10} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$6.061539819$	$1$		$2$	$2580480$	$2.445457$	$17446602575/15000633$	$0.97617$	$4.56653$	$1$	$[0, 1, 0, 739167, -170229537]$	\(y^2=x^3+x^2+739167x-170229537\)	228.2.0.?	$[(3669, 227916)]$	$1$
172425.bd1	172425s1	172425.bd	172425s	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 3^{7} \cdot 5^{10} \cdot 11^{6} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$5997600$	$2.604683$	$17446602575/15000633$	$0.97617$	$4.48378$	$1$	$[1, 0, 0, 1397487, -443054358]$	\(y^2+xy=x^3+1397487x-443054358\)	228.2.0.?	$[ ]$	$1$
172425.bz1	172425ch1	172425.bz	172425ch	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 3^{7} \cdot 5^{4} \cdot 11^{6} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$1199520$	$1.799965$	$17446602575/15000633$	$0.97617$	$3.68291$	$1$	$[1, 1, 0, 55900, -3522075]$	\(y^2+xy=x^3+x^2+55900x-3522075\)	228.2.0.?	$[ ]$	$1$
209475.t1	209475u1	209475.t	209475u	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 3^{13} \cdot 5^{10} \cdot 7^{6} \cdot 19^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$4.481501007$	$1$		$10$	$15482880$	$2.927998$	$17446602575/15000633$	$0.97617$	$4.72921$	$1$	$[1, -1, 1, 5093320, 3082276572]$	\(y^2+xy+y=x^3-x^2+5093320x+3082276572\)	228.2.0.?	$[(3173, 224646), (380, 71031)]$	$1$
209475.cx1	209475cw1	209475.cx	209475cw	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 3^{13} \cdot 5^{4} \cdot 7^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$2.292456996$	$1$		$2$	$3096576$	$2.123276$	$17446602575/15000633$	$0.97617$	$3.94106$	$1$	$[1, -1, 0, 203733, 24617466]$	\(y^2+xy=x^3-x^2+203733x+24617466\)	228.2.0.?	$[(-110, 986)]$	$1$
240825.v1	240825v1	240825.v	240825v	$1$	$1$	\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 3^{7} \cdot 5^{10} \cdot 13^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1.247297204$	$1$		$4$	$10886400$	$2.688210$	$17446602575/15000633$	$0.97617$	$4.44378$	$1$	$[1, 0, 0, 1951862, 731677517]$	\(y^2+xy=x^3+1951862x+731677517\)	228.2.0.?	$[(-259, 14579)]$	$1$
240825.bp1	240825bp1	240825.bp	240825bp	$1$	$1$	\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 3^{7} \cdot 5^{4} \cdot 13^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1.047470323$	$1$		$2$	$2177280$	$1.883492$	$17446602575/15000633$	$0.97617$	$3.66450$	$1$	$[1, 1, 0, 78075, 5884650]$	\(y^2+xy=x^3+x^2+78075x+5884650\)	228.2.0.?	$[(590, 15760)]$	$1$
273600.gz1	273600gz1	273600.gz	273600gz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{18} \cdot 3^{13} \cdot 5^{4} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$4128768$	$2.190044$	$17446602575/15000633$	$0.97617$	$3.92099$	$1$	$[0, 0, 0, 266100, 36822800]$	\(y^2=x^3+266100x+36822800\)	228.2.0.?	$[ ]$	$1$
273600.ha1	273600ha1	273600.ha	273600ha	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{18} \cdot 3^{13} \cdot 5^{10} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$21.55775574$	$1$		$0$	$20643840$	$2.994762$	$17446602575/15000633$	$0.97617$	$4.69232$	$1$	$[0, 0, 0, 6652500, 4602850000]$	\(y^2=x^3+6652500x+4602850000\)	228.2.0.?	$[(-2499132196/2203, 344899887108408/2203)]$	$1$
273600.jl1	273600jl1	273600.jl	273600jl	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{18} \cdot 3^{13} \cdot 5^{4} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$4128768$	$2.190044$	$17446602575/15000633$	$0.97617$	$3.92099$	$1$	$[0, 0, 0, 266100, -36822800]$	\(y^2=x^3+266100x-36822800\)	228.2.0.?	$[ ]$	$1$
273600.jm1	273600jm1	273600.jm	273600jm	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{18} \cdot 3^{13} \cdot 5^{10} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$2.867775736$	$1$		$2$	$20643840$	$2.994762$	$17446602575/15000633$	$0.97617$	$4.69232$	$1$	$[0, 0, 0, 6652500, -4602850000]$	\(y^2=x^3+6652500x-4602850000\)	228.2.0.?	$[(934, 49248)]$	$1$
411825.q1	411825q1	411825.q	411825q	$1$	$1$	\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 19 \)	\( - 3^{7} \cdot 5^{4} \cdot 17^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.765180301$	$1$		$4$	$4967424$	$2.017624$	$17446602575/15000633$	$0.97617$	$3.63692$	$1$	$[1, 0, 0, 133512, 13097817]$	\(y^2+xy=x^3+133512x+13097817\)	228.2.0.?	$[(177, 6414)]$	$1$
411825.bk1	411825bk1	411825.bk	411825bk	$1$	$1$	\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 19 \)	\( - 3^{7} \cdot 5^{10} \cdot 17^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$6.965277169$	$1$		$0$	$24837120$	$2.822342$	$17446602575/15000633$	$0.97617$	$4.38386$	$1$	$[1, 1, 0, 3337800, 1637227125]$	\(y^2+xy=x^3+x^2+3337800x+1637227125\)	228.2.0.?	$[(-3884/3, 297427/3)]$	$1$
433200.cr1	433200cr1	433200.cr	433200cr	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{4} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$23224320$	$2.766384$	$17446602575/15000633$	$0.97617$	$4.31503$	$1$	$[0, -1, 0, 2668392, 1168404912]$	\(y^2=x^3-x^2+2668392x+1168404912\)	228.2.0.?	$[ ]$	$1$
433200.ia1	433200ia1	433200.ia	433200ia	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{10} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$116121600$	$3.571102$	$17446602575/15000633$	$0.97617$	$5.05905$	$1$	$[0, 1, 0, 66709792, 146184033588]$	\(y^2=x^3+x^2+66709792x+146184033588\)	228.2.0.?	$[ ]$	$1$

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