Elliptic curve search results

Results (42 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images
345.d1	345b1	345.d	345b	$1$	$1$	\( 3 \cdot 5 \cdot 23 \)	\( - 3^{2} \cdot 5 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$230$	$2$	$0$	$0.185735023$	$1$		$6$	$16$	$-0.736079$	$-262144/1035$	$[0, 1, 1, -1, 1]$	\(y^2+y=x^3+x^2-x+1\)	230.2.0.?
1035.d1	1035d1	1035.d	1035d	$1$	$1$	\( 3^{2} \cdot 5 \cdot 23 \)	\( - 3^{8} \cdot 5 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.931412863$	$1$		$4$	$128$	$-0.186773$	$-262144/1035$	$[0, 0, 1, -12, -45]$	\(y^2+y=x^3-12x-45\)	230.2.0.?
1725.k1	1725a1	1725.k	1725a	$1$	$1$	\( 3 \cdot 5^{2} \cdot 23 \)	\( - 3^{2} \cdot 5^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.144280156$	$1$		$6$	$384$	$0.068640$	$-262144/1035$	$[0, -1, 1, -33, 218]$	\(y^2+y=x^3-x^2-33x+218\)	230.2.0.?
5175.o1	5175j1	5175.o	5175j	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 3^{8} \cdot 5^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1.706999680$	$1$		$2$	$3072$	$0.617946$	$-262144/1035$	$[0, 0, 1, -300, -5594]$	\(y^2+y=x^3-300x-5594\)	230.2.0.?
5520.h1	5520n1	5520.h	5520n	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \)	\( - 2^{12} \cdot 3^{2} \cdot 5 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$1152$	$-0.042932$	$-262144/1035$	$[0, -1, 0, -21, -99]$	\(y^2=x^3-x^2-21x-99\)	230.2.0.?
7935.i1	7935i1	7935.i	7935i	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( - 3^{2} \cdot 5 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$8448$	$0.831668$	$-262144/1035$	$[0, 1, 1, -705, -20401]$	\(y^2+y=x^3+x^2-705x-20401\)	230.2.0.?
16560.cd1	16560cf1	16560.cd	16560cf	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{12} \cdot 3^{8} \cdot 5 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$2.399718079$	$1$		$2$	$9216$	$0.506374$	$-262144/1035$	$[0, 0, 0, -192, 2864]$	\(y^2=x^3-192x+2864\)	230.2.0.?
16905.l1	16905o1	16905.l	16905o	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 3^{2} \cdot 5 \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$5280$	$0.236876$	$-262144/1035$	$[0, -1, 1, -65, -547]$	\(y^2+y=x^3-x^2-65x-547\)	230.2.0.?
22080.x1	22080v1	22080.x	22080v	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 23 \)	\( - 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.740855256$	$1$		$2$	$2304$	$-0.389505$	$-262144/1035$	$[0, -1, 0, -5, 15]$	\(y^2=x^3-x^2-5x+15\)	230.2.0.?
22080.cz1	22080cy1	22080.cz	22080cy	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 23 \)	\( - 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$2304$	$-0.389505$	$-262144/1035$	$[0, 1, 0, -5, -15]$	\(y^2=x^3+x^2-5x-15\)	230.2.0.?
23805.m1	23805k1	23805.m	23805k	$1$	$1$	\( 3^{2} \cdot 5 \cdot 23^{2} \)	\( - 3^{8} \cdot 5 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1.956328513$	$1$		$0$	$67584$	$1.380974$	$-262144/1035$	$[0, 0, 1, -6348, 544473]$	\(y^2+y=x^3-6348x+544473\)	230.2.0.?
27600.cf1	27600db1	27600.cf	27600db	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$27648$	$0.761787$	$-262144/1035$	$[0, 1, 0, -533, -13437]$	\(y^2=x^3+x^2-533x-13437\)	230.2.0.?
39675.s1	39675d1	39675.s	39675d	$1$	$1$	\( 3 \cdot 5^{2} \cdot 23^{2} \)	\( - 3^{2} \cdot 5^{7} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$202752$	$1.636387$	$-262144/1035$	$[0, -1, 1, -17633, -2514832]$	\(y^2+y=x^3-x^2-17633x-2514832\)	230.2.0.?
41745.s1	41745ba1	41745.s	41745ba	$1$	$1$	\( 3 \cdot 5 \cdot 11^{2} \cdot 23 \)	\( - 3^{2} \cdot 5 \cdot 11^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$20480$	$0.462869$	$-262144/1035$	$[0, 1, 1, -161, -2260]$	\(y^2+y=x^3+x^2-161x-2260\)	230.2.0.?
50715.bc1	50715m1	50715.bc	50715m	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 3^{8} \cdot 5 \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$2.557314086$	$1$		$2$	$42240$	$0.786182$	$-262144/1035$	$[0, 0, 1, -588, 15349]$	\(y^2+y=x^3-588x+15349\)	230.2.0.?
58305.i1	58305m1	58305.i	58305m	$1$	$1$	\( 3 \cdot 5 \cdot 13^{2} \cdot 23 \)	\( - 3^{2} \cdot 5 \cdot 13^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$37632$	$0.546395$	$-262144/1035$	$[0, 1, 1, -225, 3566]$	\(y^2+y=x^3+x^2-225x+3566\)	230.2.0.?
66240.m1	66240bk1	66240.m	66240bk	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{6} \cdot 3^{8} \cdot 5 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$18432$	$0.159801$	$-262144/1035$	$[0, 0, 0, -48, -358]$	\(y^2=x^3-48x-358\)	230.2.0.?
66240.cv1	66240fc1	66240.cv	66240fc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{6} \cdot 3^{8} \cdot 5 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$18432$	$0.159801$	$-262144/1035$	$[0, 0, 0, -48, 358]$	\(y^2=x^3-48x+358\)	230.2.0.?
82800.t1	82800dk1	82800.t	82800dk	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$2.165702765$	$1$		$2$	$221184$	$1.311092$	$-262144/1035$	$[0, 0, 0, -4800, 358000]$	\(y^2=x^3-4800x+358000\)	230.2.0.?
84525.bu1	84525bt1	84525.bu	84525bt	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{2} \cdot 5^{7} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$4.521659772$	$1$		$0$	$126720$	$1.041595$	$-262144/1035$	$[0, 1, 1, -1633, -71606]$	\(y^2+y=x^3+x^2-1633x-71606\)	230.2.0.?
99705.i1	99705f1	99705.i	99705f	$1$	$1$	\( 3 \cdot 5 \cdot 17^{2} \cdot 23 \)	\( - 3^{2} \cdot 5 \cdot 17^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$80640$	$0.680528$	$-262144/1035$	$[0, -1, 1, -385, 8271]$	\(y^2+y=x^3-x^2-385x+8271\)	230.2.0.?
110400.o1	110400gr1	110400.o	110400gr	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1.252502566$	$1$		$2$	$55296$	$0.415214$	$-262144/1035$	$[0, -1, 0, -133, -1613]$	\(y^2=x^3-x^2-133x-1613\)	230.2.0.?
110400.jg1	110400dd1	110400.jg	110400dd	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$55296$	$0.415214$	$-262144/1035$	$[0, 1, 0, -133, 1613]$	\(y^2=x^3+x^2-133x+1613\)	230.2.0.?
119025.bh1	119025x1	119025.bh	119025x	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( - 3^{8} \cdot 5^{7} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.487219599$	$1$		$6$	$1622016$	$2.185692$	$-262144/1035$	$[0, 0, 1, -158700, 68059156]$	\(y^2+y=x^3-158700x+68059156\)	230.2.0.?
124545.l1	124545m1	124545.l	124545m	$1$	$1$	\( 3 \cdot 5 \cdot 19^{2} \cdot 23 \)	\( - 3^{2} \cdot 5 \cdot 19^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.958583257$	$1$		$4$	$96768$	$0.736140$	$-262144/1035$	$[0, -1, 1, -481, -11208]$	\(y^2+y=x^3-x^2-481x-11208\)	230.2.0.?
125235.bf1	125235bj1	125235.bf	125235bj	$1$	$1$	\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 23 \)	\( - 3^{8} \cdot 5 \cdot 11^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$163840$	$1.012175$	$-262144/1035$	$[0, 0, 1, -1452, 59562]$	\(y^2+y=x^3-1452x+59562\)	230.2.0.?
126960.z1	126960cd1	126960.z	126960cd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23^{2} \)	\( - 2^{12} \cdot 3^{2} \cdot 5 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$608256$	$1.524815$	$-262144/1035$	$[0, -1, 0, -11285, 1294365]$	\(y^2=x^3-x^2-11285x+1294365\)	230.2.0.?
174915.n1	174915p1	174915.n	174915p	$1$	$1$	\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \)	\( - 3^{8} \cdot 5 \cdot 13^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$301056$	$1.095701$	$-262144/1035$	$[0, 0, 1, -2028, -98316]$	\(y^2+y=x^3-2028x-98316\)	230.2.0.?
208725.be1	208725bq1	208725.be	208725bq	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 23 \)	\( - 3^{2} \cdot 5^{7} \cdot 11^{6} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1.984082683$	$1$		$10$	$491520$	$1.267588$	$-262144/1035$	$[0, -1, 1, -4033, -274407]$	\(y^2+y=x^3-x^2-4033x-274407\)	230.2.0.?
253575.do1	253575do1	253575.do	253575do	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{8} \cdot 5^{7} \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$1013760$	$1.590900$	$-262144/1035$	$[0, 0, 1, -14700, 1918656]$	\(y^2+y=x^3-14700x+1918656\)	230.2.0.?
270480.jn1	270480jn1	270480.jn	270480jn	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{12} \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$7.261701589$	$1$		$0$	$380160$	$0.930023$	$-262144/1035$	$[0, 1, 0, -1045, 36035]$	\(y^2=x^3+x^2-1045x+36035\)	230.2.0.?
290145.l1	290145l1	290145.l	290145l	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \)	\( - 3^{2} \cdot 5 \cdot 23 \cdot 29^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$366912$	$0.947569$	$-262144/1035$	$[0, -1, 1, -1121, 40796]$	\(y^2+y=x^3-x^2-1121x+40796\)	230.2.0.?
291525.z1	291525z1	291525.z	291525z	$1$	$1$	\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 23 \)	\( - 3^{2} \cdot 5^{7} \cdot 13^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1.234898743$	$1$		$4$	$903168$	$1.351114$	$-262144/1035$	$[0, -1, 1, -5633, 457043]$	\(y^2+y=x^3-x^2-5633x+457043\)	230.2.0.?
299115.z1	299115z1	299115.z	299115z	$1$	$1$	\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \)	\( - 3^{8} \cdot 5 \cdot 17^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$10.71482537$	$1$		$2$	$645120$	$1.229834$	$-262144/1035$	$[0, 0, 1, -3468, -219857]$	\(y^2+y=x^3-3468x-219857\)	230.2.0.?
331200.dj1	331200dj1	331200.dj	331200dj	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.936791815$	$1$		$2$	$442368$	$0.964520$	$-262144/1035$	$[0, 0, 0, -1200, 44750]$	\(y^2=x^3-1200x+44750\)	230.2.0.?
331200.nr1	331200nr1	331200.nr	331200nr	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$3.063267815$	$1$		$2$	$442368$	$0.964520$	$-262144/1035$	$[0, 0, 0, -1200, -44750]$	\(y^2=x^3-1200x-44750\)	230.2.0.?
331545.i1	331545i1	331545.i	331545i	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 31^{2} \)	\( - 3^{2} \cdot 5 \cdot 23 \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$479520$	$0.980915$	$-262144/1035$	$[0, -1, 1, -1281, -48949]$	\(y^2+y=x^3-x^2-1281x-48949\)	230.2.0.?
373635.bc1	373635bc1	373635.bc	373635bc	$1$	$1$	\( 3^{2} \cdot 5 \cdot 19^{2} \cdot 23 \)	\( - 3^{8} \cdot 5 \cdot 19^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$774144$	$1.285446$	$-262144/1035$	$[0, 0, 1, -4332, 306940]$	\(y^2+y=x^3-4332x+306940\)	230.2.0.?
380880.n1	380880n1	380880.n	380880n	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( - 2^{12} \cdot 3^{8} \cdot 5 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$4866048$	$2.074123$	$-262144/1035$	$[0, 0, 0, -101568, -34846288]$	\(y^2=x^3-101568x-34846288\)	230.2.0.?
388815.bt1	388815bt1	388815.bt	388815bt	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{2} \cdot 5 \cdot 7^{6} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1.493866328$	$1$		$4$	$2787840$	$1.804623$	$-262144/1035$	$[0, -1, 1, -34561, 6928347]$	\(y^2+y=x^3-x^2-34561x+6928347\)	230.2.0.?
472305.o1	472305o1	472305.o	472305o	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 37^{2} \)	\( - 3^{2} \cdot 5 \cdot 23 \cdot 37^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$5.493699011$	$1$		$2$	$785088$	$1.069380$	$-262144/1035$	$[0, 1, 1, -1825, 83344]$	\(y^2+y=x^3+x^2-1825x+83344\)	230.2.0.?
498525.bl1	498525bl1	498525.bl	498525bl	$1$	$1$	\( 3 \cdot 5^{2} \cdot 17^{2} \cdot 23 \)	\( - 3^{2} \cdot 5^{7} \cdot 17^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$2.899286857$	$1$		$2$	$1935360$	$1.485247$	$-262144/1035$	$[0, 1, 1, -9633, 1014644]$	\(y^2+y=x^3+x^2-9633x+1014644\)	230.2.0.?