Elliptic curve search results

Results (31 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
645.a1	645d1	645.a	645d	$1$	$1$	\( 3 \cdot 5 \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$86$	$2$	$0$	$1$	$1$		$0$	$1152$	$0.842464$	$-645008376471556096/783675$	$1.01002$	$6.33892$	$[0, -1, 1, -18000, -923542]$	\(y^2+y=x^3-x^2-18000x-923542\)	86.2.0.?	$[]$
1935.k1	1935g1	1935.k	1935g	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43 \)	\( - 3^{12} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$9216$	$1.391771$	$-645008376471556096/783675$	$1.01002$	$6.28972$	$[0, 0, 1, -162003, 25097629]$	\(y^2+y=x^3-162003x+25097629\)	86.2.0.?	$[]$
3225.j1	3225h1	3225.j	3225h	$1$	$1$	\( 3 \cdot 5^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$6.074293305$	$1$		$0$	$27648$	$1.647184$	$-645008376471556096/783675$	$1.01002$	$6.27140$	$[0, 1, 1, -450008, -116342731]$	\(y^2+y=x^3+x^2-450008x-116342731\)	86.2.0.?	$[(3877/2, 151571/2)]$
9675.a1	9675t1	9675.a	9675t	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$0.822329258$	$1$		$6$	$221184$	$2.196491$	$-645008376471556096/783675$	$1.01002$	$6.23891$	$[0, 0, 1, -4050075, 3137203656]$	\(y^2+y=x^3-4050075x+3137203656\)	86.2.0.?	$[(1160, 112)]$
10320.bd1	10320bi1	10320.bd	10320bi	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$0.477253625$	$1$		$4$	$46080$	$1.535612$	$-645008376471556096/783675$	$1.01002$	$5.33723$	$[0, 1, 0, -288005, 59394675]$	\(y^2=x^3+x^2-288005x+59394675\)	86.2.0.?	$[(310, 15)]$
27735.m1	27735j1	27735.m	27735j	$1$	$1$	\( 3 \cdot 5 \cdot 43^{2} \)	\( - 3^{6} \cdot 5^{2} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$0.838589495$	$1$		$0$	$2128896$	$2.723064$	$-645008376471556096/783675$	$1.01002$	$6.21431$	$[0, 1, 1, -33282616, 73893987601]$	\(y^2+y=x^3+x^2-33282616x+73893987601\)	86.2.0.?	$[(12053/2, 249611/2)]$
30960.b1	30960bq1	30960.b	30960bq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$9$	$3$	$0$	$368640$	$2.084919$	$-645008376471556096/783675$	$1.01002$	$5.40764$	$[0, 0, 0, -2592048, -1606248272]$	\(y^2=x^3-2592048x-1606248272\)	86.2.0.?	$[]$
31605.c1	31605v1	31605.c	31605v	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$0.182604914$	$1$		$6$	$331776$	$1.815420$	$-645008376471556096/783675$	$1.01002$	$5.08475$	$[0, 1, 1, -882016, 318538840]$	\(y^2+y=x^3+x^2-882016x+318538840\)	86.2.0.?	$[(569, 1102)]$
41280.b1	41280ca1	41280.b	41280ca	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 43 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.288125905$	$1$		$4$	$92160$	$1.189039$	$-645008376471556096/783675$	$1.01002$	$4.24975$	$[0, -1, 0, -72001, 7460335]$	\(y^2=x^3-x^2-72001x+7460335\)	86.2.0.?	$[(154, 27), (9937/8, 135/8)]$
41280.cp1	41280bg1	41280.cp	41280bg	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$4.233635594$	$1$		$2$	$92160$	$1.189039$	$-645008376471556096/783675$	$1.01002$	$4.24975$	$[0, 1, 0, -72001, -7460335]$	\(y^2=x^3+x^2-72001x-7460335\)	86.2.0.?	$[(512, 9495)]$
51600.bw1	51600bu1	51600.bw	51600bu	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{12} \cdot 3^{6} \cdot 5^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$1105920$	$2.340332$	$-645008376471556096/783675$	$1.01002$	$5.43553$	$[0, -1, 0, -7200133, 7438734637]$	\(y^2=x^3-x^2-7200133x+7438734637\)	86.2.0.?	$[]$
78045.m1	78045k1	78045.m	78045k	$1$	$1$	\( 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 11^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$1647360$	$2.041412$	$-645008376471556096/783675$	$1.01002$	$4.91746$	$[0, -1, 1, -2178040, 1237946181]$	\(y^2+y=x^3-x^2-2178040x+1237946181\)	86.2.0.?	$[]$
83205.a1	83205x1	83205.a	83205x	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43^{2} \)	\( - 3^{12} \cdot 5^{2} \cdot 43^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$17031168$	$3.272369$	$-645008376471556096/783675$	$1.01002$	$6.19353$	$[0, 0, 1, -299543547, -1995437208780]$	\(y^2+y=x^3-299543547x-1995437208780\)	86.2.0.?	$[]$
94815.bn1	94815bi1	94815.bn	94815bi	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$9$	$3$	$0$	$2654208$	$2.364727$	$-645008376471556096/783675$	$1.01002$	$5.17250$	$[0, 0, 1, -7938147, -8608486833]$	\(y^2+y=x^3-7938147x-8608486833\)	86.2.0.?	$[]$
109005.p1	109005b1	109005.p	109005b	$1$	$1$	\( 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 13^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$28.20530138$	$1$		$0$	$2363904$	$2.124939$	$-645008376471556096/783675$	$1.01002$	$4.86223$	$[0, -1, 1, -3042056, -2041189369]$	\(y^2+y=x^3-x^2-3042056x-2041189369\)	86.2.0.?	$[(17217668260097/58252, 66485177843382086791/58252)]$
123840.dv1	123840gc1	123840.dv	123840gc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$737280$	$1.738344$	$-645008376471556096/783675$	$1.01002$	$4.41372$	$[0, 0, 0, -648012, -200781034]$	\(y^2=x^3-648012x-200781034\)	86.2.0.?	$[]$
123840.gi1	123840dh1	123840.gi	123840dh	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$737280$	$1.738344$	$-645008376471556096/783675$	$1.01002$	$4.41372$	$[0, 0, 0, -648012, 200781034]$	\(y^2=x^3-648012x+200781034\)	86.2.0.?	$[]$
138675.a1	138675d1	138675.a	138675d	$1$	$1$	\( 3 \cdot 5^{2} \cdot 43^{2} \)	\( - 3^{6} \cdot 5^{8} \cdot 43^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$51093504$	$3.527782$	$-645008376471556096/783675$	$1.01002$	$6.18518$	$[0, -1, 1, -832065408, 9238412580968]$	\(y^2+y=x^3-x^2-832065408x+9238412580968\)	86.2.0.?	$[]$
154800.fz1	154800dj1	154800.fz	154800dj	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{12} \cdot 3^{12} \cdot 5^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$77.03572791$	$1$		$0$	$8847360$	$2.889637$	$-645008376471556096/783675$	$1.01002$	$5.48742$	$[0, 0, 0, -64801200, -200781034000]$	\(y^2=x^3-64801200x-200781034000\)	86.2.0.?	$[(41265857950170600295803256406957185/589830720812561, 8362913594039569528778315928291913359458246311084575/589830720812561)]$
158025.bv1	158025ca1	158025.bv	158025ca	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$4.982300341$	$1$		$0$	$7962624$	$2.620140$	$-645008376471556096/783675$	$1.01002$	$5.20781$	$[0, -1, 1, -22050408, 39861455843]$	\(y^2+y=x^3-x^2-22050408x+39861455843\)	86.2.0.?	$[(271029/10, 104017/10)]$
186405.b1	186405a1	186405.b	186405a	$1$	$1$	\( 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 17^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$5806080$	$2.259071$	$-645008376471556096/783675$	$1.01002$	$4.77990$	$[0, 1, 1, -5202096, -4568573014]$	\(y^2+y=x^3+x^2-5202096x-4568573014\)	86.2.0.?	$[]$
206400.f1	206400ix1	206400.f	206400ix	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$21.14957012$	$1$		$0$	$2211840$	$1.993757$	$-645008376471556096/783675$	$1.01002$	$4.47994$	$[0, -1, 0, -1800033, -928941813]$	\(y^2=x^3-x^2-1800033x-928941813\)	86.2.0.?	$[(7746572742/523, 681020119906407/523)]$
206400.kn1	206400co1	206400.kn	206400co	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$2211840$	$1.993757$	$-645008376471556096/783675$	$1.01002$	$4.47994$	$[0, 1, 0, -1800033, 928941813]$	\(y^2=x^3+x^2-1800033x+928941813\)	86.2.0.?	$[]$
232845.n1	232845n1	232845.n	232845n	$1$	$1$	\( 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 19^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$8294400$	$2.314686$	$-645008376471556096/783675$	$1.01002$	$4.74786$	$[0, 1, 1, -6498120, 6373561331]$	\(y^2+y=x^3+x^2-6498120x+6373561331\)	86.2.0.?	$[]$
234135.a1	234135a1	234135.a	234135a	$1$	$1$	\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{2} \cdot 11^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$13178880$	$2.590717$	$-645008376471556096/783675$	$1.01002$	$5.01365$	$[0, 0, 1, -19602363, -33404944532]$	\(y^2+y=x^3-19602363x-33404944532\)	86.2.0.?	$[]$
327015.b1	327015b1	327015.b	327015b	$1$	$1$	\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{2} \cdot 13^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$2.985189310$	$1$		$2$	$18911232$	$2.674244$	$-645008376471556096/783675$	$1.01002$	$4.96067$	$[0, 0, 1, -27378507, 55139491462]$	\(y^2+y=x^3-27378507x+55139491462\)	86.2.0.?	$[(3007, 1327)]$
341205.a1	341205a1	341205.a	341205a	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{2} \cdot 23^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.148668829$	$1$		$4$	$14370048$	$2.410213$	$-645008376471556096/783675$	$1.01002$	$4.69544$	$[0, -1, 1, -9522176, 11312909432]$	\(y^2+y=x^3-x^2-9522176x+11312909432\)	86.2.0.?	$[(1781, 67)]$
390225.g1	390225g1	390225.g	390225g	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 43 \)	\( - 3^{6} \cdot 5^{8} \cdot 11^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$2.354054088$	$1$		$0$	$39536640$	$2.846130$	$-645008376471556096/783675$	$1.01002$	$5.05279$	$[0, 1, 1, -54451008, 154634370644]$	\(y^2+y=x^3+x^2-54451008x+154634370644\)	86.2.0.?	$[(17037/2, 671/2)]$
416025.cd1	416025cd1	416025.cd	416025cd	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 43^{2} \)	\( - 3^{12} \cdot 5^{8} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$276.4533246$	$1$		$0$	$408748032$	$4.077087$	$-645008376471556096/783675$	$1.01002$	$6.16946$	$[0, 0, 1, -7488588675, -249429651097469]$	\(y^2+y=x^3-7488588675x-249429651097469\)	86.2.0.?	$[(500505471332888901917813039553972091298228908492552730750532407966545682641560043948146661727572559377430089981531055674945/69845596259675521143673638826111980322465858524532064745514, 2687109784678255711359518282602649745850525303740196617300662984157309941518971619016955141508516125002541270626389046889215493634929231340021949663403985129138642746601986107588147803/69845596259675521143673638826111980322465858524532064745514)]$
443760.r1	443760r1	443760.r	443760r	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$64.34636557$	$1$		$0$	$85155840$	$3.416210$	$-645008376471556096/783675$	$1.01002$	$5.52894$	$[0, -1, 0, -532521861, -4729747728339]$	\(y^2=x^3-x^2-532521861x-4729747728339\)	86.2.0.?	$[(4386556799422985308009363582209/1163865478552, 9187016815080598459337740201320894178943245215/1163865478552)]$
474075.i1	474075i1	474075.i	474075i	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{8} \cdot 7^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$9$	$3$	$0$	$63700992$	$3.169445$	$-645008376471556096/783675$	$1.01002$	$5.27440$	$[0, 0, 1, -198453675, -1076060854094]$	\(y^2+y=x^3-198453675x-1076060854094\)	86.2.0.?	$[]$