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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
2184.a1	2184c1	2184.a	2184c	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{11} \cdot 3 \cdot 7^{3} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$5280$	$1.118906$	$-59219479733906/382060497$	$0.96495$	$5.11750$	$[0, -1, 0, -10312, -401876]$	\(y^2=x^3-x^2-10312x-401876\)	2184.2.0.?	$[ ]$
4368.n1	4368g1	4368.n	4368g	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{11} \cdot 3 \cdot 7^{3} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$10560$	$1.118906$	$-59219479733906/382060497$	$0.96495$	$4.69431$	$[0, 1, 0, -10312, 401876]$	\(y^2=x^3+x^2-10312x+401876\)	2184.2.0.?	$[ ]$
6552.z1	6552x1	6552.z	6552x	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{3} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$42240$	$1.668213$	$-59219479733906/382060497$	$0.96495$	$5.22783$	$[0, 0, 0, -92811, 10943462]$	\(y^2=x^3-92811x+10943462\)	2184.2.0.?	$[ ]$
13104.cb1	13104q1	13104.cb	13104q	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{3} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$84480$	$1.668213$	$-59219479733906/382060497$	$0.96495$	$4.84561$	$[0, 0, 0, -92811, -10943462]$	\(y^2=x^3-92811x-10943462\)	2184.2.0.?	$[ ]$
15288.bc1	15288r1	15288.bc	15288r	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{11} \cdot 3 \cdot 7^{9} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$253440$	$2.091862$	$-59219479733906/382060497$	$0.96495$	$5.29573$	$[0, 1, 0, -505304, 138854064]$	\(y^2=x^3+x^2-505304x+138854064\)	2184.2.0.?	$[ ]$
17472.bj1	17472by1	17472.bj	17472by	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{17} \cdot 3 \cdot 7^{3} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.381137823$	$1$		$4$	$84480$	$1.465479$	$-59219479733906/382060497$	$0.96495$	$4.45386$	$[0, -1, 0, -41249, 3256257]$	\(y^2=x^3-x^2-41249x+3256257\)	2184.2.0.?	$[(109, 208)]$
17472.dd1	17472bm1	17472.dd	17472bm	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{17} \cdot 3 \cdot 7^{3} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$84480$	$1.465479$	$-59219479733906/382060497$	$0.96495$	$4.45386$	$[0, 1, 0, -41249, -3256257]$	\(y^2=x^3+x^2-41249x-3256257\)	2184.2.0.?	$[ ]$
28392.t1	28392s1	28392.t	28392s	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3 \cdot 7^{3} \cdot 13^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$25$	$5$	$0$	$887040$	$2.401382$	$-59219479733906/382060497$	$0.96495$	$5.33825$	$[0, -1, 0, -1742784, -889892628]$	\(y^2=x^3-x^2-1742784x-889892628\)	2184.2.0.?	$[ ]$
30576.bq1	30576n1	30576.bq	30576n	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{11} \cdot 3 \cdot 7^{9} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1.783753356$	$1$		$2$	$506880$	$2.091862$	$-59219479733906/382060497$	$0.96495$	$4.94032$	$[0, -1, 0, -505304, -138854064]$	\(y^2=x^3-x^2-505304x-138854064\)	2184.2.0.?	$[(985, 17836)]$
45864.k1	45864ca1	45864.k	45864ca	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{9} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$2.657101257$	$1$		$2$	$2027520$	$2.641167$	$-59219479733906/382060497$	$0.96495$	$5.36782$	$[0, 0, 0, -4547739, -3753607466]$	\(y^2=x^3-4547739x-3753607466\)	2184.2.0.?	$[(7322, 596232)]$
52416.q1	52416fp1	52416.q	52416fp	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{17} \cdot 3^{7} \cdot 7^{3} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$675840$	$2.014786$	$-59219479733906/382060497$	$0.96495$	$4.61017$	$[0, 0, 0, -371244, -87547696]$	\(y^2=x^3-371244x-87547696\)	2184.2.0.?	$[ ]$
52416.r1	52416dl1	52416.r	52416dl	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{17} \cdot 3^{7} \cdot 7^{3} \cdot 13^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.093469871$	$1$		$34$	$675840$	$2.014786$	$-59219479733906/382060497$	$0.96495$	$4.61017$	$[0, 0, 0, -371244, 87547696]$	\(y^2=x^3-371244x+87547696\)	2184.2.0.?	$[(-298, 13104), (248, 3276)]$
54600.bj1	54600cg1	54600.bj	54600cg	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{11} \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$570240$	$1.923626$	$-59219479733906/382060497$	$0.96495$	$4.49262$	$[0, 1, 0, -257808, -50750112]$	\(y^2=x^3+x^2-257808x-50750112\)	2184.2.0.?	$[ ]$
56784.da1	56784y1	56784.da	56784y	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3 \cdot 7^{3} \cdot 13^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1.590713804$	$1$		$2$	$1774080$	$2.401382$	$-59219479733906/382060497$	$0.96495$	$5.00024$	$[0, 1, 0, -1742784, 889892628]$	\(y^2=x^3+x^2-1742784x+889892628\)	2184.2.0.?	$[(446, 14196)]$
85176.e1	85176v1	85176.e	85176v	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{3} \cdot 13^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$7096320$	$2.950687$	$-59219479733906/382060497$	$0.96495$	$5.40229$	$[0, 0, 0, -15685059, 24042786014]$	\(y^2=x^3-15685059x+24042786014\)	2184.2.0.?	$[ ]$
91728.m1	91728bz1	91728.m	91728bz	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{9} \cdot 13^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.292770658$	$1$		$24$	$4055040$	$2.641167$	$-59219479733906/382060497$	$0.96495$	$5.04220$	$[0, 0, 0, -4547739, 3753607466]$	\(y^2=x^3-4547739x+3753607466\)	2184.2.0.?	$[(1505, 17836), (10423, 1043406)]$
109200.dq1	109200w1	109200.dq	109200w	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{11} \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.285455086$	$1$		$6$	$1140480$	$1.923626$	$-59219479733906/382060497$	$0.96495$	$4.22419$	$[0, -1, 0, -257808, 50750112]$	\(y^2=x^3-x^2-257808x+50750112\)	2184.2.0.?	$[(116, 4732)]$
122304.r1	122304bk1	122304.r	122304bk	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{17} \cdot 3 \cdot 7^{9} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$4055040$	$2.438435$	$-59219479733906/382060497$	$0.96495$	$4.71069$	$[0, -1, 0, -2021217, 1112853729]$	\(y^2=x^3-x^2-2021217x+1112853729\)	2184.2.0.?	$[ ]$
122304.eo1	122304hr1	122304.eo	122304hr	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{17} \cdot 3 \cdot 7^{9} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$4055040$	$2.438435$	$-59219479733906/382060497$	$0.96495$	$4.71069$	$[0, 1, 0, -2021217, -1112853729]$	\(y^2=x^3+x^2-2021217x-1112853729\)	2184.2.0.?	$[ ]$
163800.cp1	163800en1	163800.cp	163800en	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{11} \cdot 3^{7} \cdot 5^{6} \cdot 7^{3} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1.839006196$	$1$		$2$	$4561920$	$2.472931$	$-59219479733906/382060497$	$0.96495$	$4.63055$	$[0, 0, 0, -2320275, 1367932750]$	\(y^2=x^3-2320275x+1367932750\)	2184.2.0.?	$[(854, 3042)]$
170352.ba1	170352en1	170352.ba	170352en	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{3} \cdot 13^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$3.064577998$	$1$		$2$	$14192640$	$2.950687$	$-59219479733906/382060497$	$0.96495$	$5.09142$	$[0, 0, 0, -15685059, -24042786014]$	\(y^2=x^3-15685059x-24042786014\)	2184.2.0.?	$[(5759, 276822)]$
198744.ce1	198744e1	198744.ce	198744e	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{11} \cdot 3 \cdot 7^{9} \cdot 13^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$42577920$	$3.374336$	$-59219479733906/382060497$	$0.96495$	$5.44380$	$[0, 1, 0, -85396432, 305403964256]$	\(y^2=x^3+x^2-85396432x+305403964256\)	2184.2.0.?	$[ ]$
227136.q1	227136cm1	227136.q	227136cm	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{17} \cdot 3 \cdot 7^{3} \cdot 13^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1.469275555$	$1$		$2$	$14192640$	$2.747955$	$-59219479733906/382060497$	$0.96495$	$4.77541$	$[0, -1, 0, -6971137, 7126112161]$	\(y^2=x^3-x^2-6971137x+7126112161\)	2184.2.0.?	$[(1920, 28561)]$
227136.ey1	227136eq1	227136.ey	227136eq	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{17} \cdot 3 \cdot 7^{3} \cdot 13^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$14192640$	$2.747955$	$-59219479733906/382060497$	$0.96495$	$4.77541$	$[0, 1, 0, -6971137, -7126112161]$	\(y^2=x^3+x^2-6971137x-7126112161\)	2184.2.0.?	$[ ]$
264264.b1	264264b1	264264.b	264264b	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( - 2^{11} \cdot 3 \cdot 7^{3} \cdot 11^{6} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$6283200$	$2.317852$	$-59219479733906/382060497$	$0.96495$	$4.30409$	$[0, -1, 0, -1247792, 539888076]$	\(y^2=x^3-x^2-1247792x+539888076\)	2184.2.0.?	$[ ]$
327600.hk1	327600hk1	327600.hk	327600hk	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{11} \cdot 3^{7} \cdot 5^{6} \cdot 7^{3} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$9123840$	$2.472931$	$-59219479733906/382060497$	$0.96495$	$4.37782$	$[0, 0, 0, -2320275, -1367932750]$	\(y^2=x^3-2320275x-1367932750\)	2184.2.0.?	$[ ]$
366912.oe1	366912oe1	366912.oe	366912oe	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{17} \cdot 3^{7} \cdot 7^{9} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$16.16974567$	$1$		$0$	$32440320$	$2.987740$	$-59219479733906/382060497$	$0.96495$	$4.82124$	$[0, 0, 0, -18190956, -30028859728]$	\(y^2=x^3-18190956x-30028859728\)	2184.2.0.?	$[(495840982/3, 11041132640048/3)]$
366912.pw1	366912pw1	366912.pw	366912pw	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{17} \cdot 3^{7} \cdot 7^{9} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$32440320$	$2.987740$	$-59219479733906/382060497$	$0.96495$	$4.82124$	$[0, 0, 0, -18190956, 30028859728]$	\(y^2=x^3-18190956x+30028859728\)	2184.2.0.?	$[ ]$
382200.h1	382200h1	382200.h	382200h	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{11} \cdot 3 \cdot 5^{6} \cdot 7^{9} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$9.075992878$	$1$		$0$	$27371520$	$2.896580$	$-59219479733906/382060497$	$0.96495$	$4.72083$	$[0, -1, 0, -12632608, 17382023212]$	\(y^2=x^3-x^2-12632608x+17382023212\)	2184.2.0.?	$[(319581/10, 98182721/10)]$
397488.h1	397488h1	397488.h	397488h	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{11} \cdot 3 \cdot 7^{9} \cdot 13^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$85155840$	$3.374336$	$-59219479733906/382060497$	$0.96495$	$5.15113$	$[0, -1, 0, -85396432, -305403964256]$	\(y^2=x^3-x^2-85396432x-305403964256\)	2184.2.0.?	$[ ]$
436800.fc1	436800fc1	436800.fc	436800fc	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{17} \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$21.71583426$	$1$		$0$	$9123840$	$2.270199$	$-59219479733906/382060497$	$0.96495$	$4.09352$	$[0, -1, 0, -1031233, -404969663]$	\(y^2=x^3-x^2-1031233x-404969663\)	2184.2.0.?	$[(14626941913/2451, 1579859836416944/2451)]$
436800.pl1	436800pl1	436800.pl	436800pl	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{17} \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$9123840$	$2.270199$	$-59219479733906/382060497$	$0.96495$	$4.09352$	$[0, 1, 0, -1031233, 404969663]$	\(y^2=x^3+x^2-1031233x+404969663\)	2184.2.0.?	$[ ]$

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