Elliptic curves over $\Q$ of conductor 16456

Results (19 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
16456.a1	16456f1	16456.a	16456f	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 11^{4} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$0.303365092$	$1$		$16$	$4416$	$-0.042880$	$30976/17$	$0.71616$	$2.33870$	$[0, 1, 0, -40, 9]$	\(y^2=x^3+x^2-40x+9\)	34.2.0.a.1	$[(-4, 11), (40, 253)]$
16456.b1	16456o1	16456.b	16456o	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 11^{10} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$1$		$0$	$48576$	$1.156069$	$30976/17$	$0.71616$	$3.82064$	$[0, 1, 0, -4880, -31451]$	\(y^2=x^3+x^2-4880x-31451\)	34.2.0.a.1	$[ ]$
16456.c1	16456e1	16456.c	16456e	$2$	$2$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{8} \cdot 11^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1496$	$48$	$0$	$1$	$1$		$1$	$8640$	$0.590744$	$35152/17$	$0.75928$	$3.13129$	$[0, 1, 0, -524, -2048]$	\(y^2=x^3+x^2-524x-2048\)	2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 68.24.0.f.1, 88.12.0.?, $\ldots$	$[ ]$
16456.c2	16456e2	16456.c	16456e	$2$	$2$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( - 2^{10} \cdot 11^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1496$	$48$	$0$	$1$	$1$		$1$	$17280$	$0.937318$	$415292/289$	$0.87236$	$3.52843$	$[0, 1, 0, 1896, -13664]$	\(y^2=x^3+x^2+1896x-13664\)	2.3.0.a.1, 4.6.0.a.1, 44.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$	$[ ]$
16456.d1	16456d1	16456.d	16456d	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( - 2^{8} \cdot 11^{7} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$0.249205583$	$1$		$18$	$15360$	$1.012018$	$-1024/3179$	$0.89430$	$3.65164$	$[0, -1, 0, -161, 57829]$	\(y^2=x^3-x^2-161x+57829\)	22.2.0.a.1	$[(-7, 242), (257, 4114)]$
16456.e1	16456l1	16456.e	16456l	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 11^{2} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$0.861679813$	$1$		$8$	$960$	$-0.420130$	$76032/17$	$0.53884$	$1.93721$	$[0, 0, 0, -11, 11]$	\(y^2=x^3-11x+11\)	34.2.0.a.1	$[(1, 1), (5, 9)]$
16456.f1	16456a1	16456.f	16456a	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 11^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$1$		$0$	$10560$	$0.778817$	$76032/17$	$0.53884$	$3.41915$	$[0, 0, 0, -1331, -14641]$	\(y^2=x^3-1331x-14641\)	34.2.0.a.1	$[ ]$
16456.g1	16456i1	16456.g	16456i	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 11^{2} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1.652765866$	$1$		$2$	$4032$	$0.194247$	$1188000000/4913$	$1.06651$	$2.93187$	$[0, 0, 0, -275, -1749]$	\(y^2=x^3-275x-1749\)	34.2.0.a.1	$[(-10, 1)]$
16456.h1	16456k1	16456.h	16456k	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( - 2^{8} \cdot 11^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1$	$1$		$0$	$9600$	$0.855465$	$-3456000/187$	$0.89087$	$3.61310$	$[0, 0, 0, -2420, -47916]$	\(y^2=x^3-2420x-47916\)	374.2.0.?	$[ ]$
16456.i1	16456j1	16456.i	16456j	$2$	$2$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 11^{8} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$136$	$12$	$0$	$1$	$1$		$1$	$403200$	$2.631317$	$840308702533978500/594473$	$1.02017$	$6.44711$	$[0, 0, 0, -23976755, 45189103102]$	\(y^2=x^3-23976755x+45189103102\)	2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.?	$[ ]$
16456.i2	16456j2	16456.i	16456j	$2$	$2$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( - 2^{11} \cdot 11^{10} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$1$	$1$		$1$	$806400$	$2.977890$	$-419899962807227250/353398147729$	$1.05242$	$6.44719$	$[0, 0, 0, -23971915, 45208258854]$	\(y^2=x^3-23971915x+45208258854\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[ ]$
16456.j1	16456g1	16456.j	16456g	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 11^{8} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$0.413687990$	$1$		$4$	$44352$	$1.393194$	$1188000000/4913$	$1.06651$	$4.41382$	$[0, 0, 0, -33275, 2327919]$	\(y^2=x^3-33275x+2327919\)	34.2.0.a.1	$[(363, 6171)]$
16456.k1	16456b1	16456.k	16456b	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( - 2^{11} \cdot 11^{4} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$208320$	$2.197098$	$-16768130355156114/410338673$	$1.05652$	$5.62134$	$[0, 0, 0, -1656611, 820706942]$	\(y^2=x^3-1656611x+820706942\)	136.2.0.?	$[ ]$
16456.l1	16456m1	16456.l	16456m	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( - 2^{11} \cdot 11^{10} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$25$	$5$	$0$	$2291520$	$3.396046$	$-16768130355156114/410338673$	$1.05652$	$7.10329$	$[0, 0, 0, -200449931, -1092360939802]$	\(y^2=x^3-200449931x-1092360939802\)	136.2.0.?	$[ ]$
16456.m1	16456n1	16456.m	16456n	$2$	$2$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 11^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$136$	$12$	$0$	$1$	$9$	$3$	$1$	$65280$	$1.473747$	$34410094596/2057$	$0.95081$	$4.69493$	$[0, 0, 0, -82643, -9143970]$	\(y^2=x^3-82643x-9143970\)	2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.?	$[ ]$
16456.m2	16456n2	16456.m	16456n	$2$	$2$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( - 2^{11} \cdot 11^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$1$	$9$	$3$	$1$	$130560$	$1.820322$	$-14355776178/4231249$	$0.95944$	$4.71868$	$[0, 0, 0, -77803, -10262010]$	\(y^2=x^3-77803x-10262010\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[ ]$
16456.n1	16456c1	16456.n	16456c	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( - 2^{8} \cdot 11^{9} \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$1$	$1$		$0$	$92160$	$1.993753$	$-5022039141376/111166451$	$0.92973$	$5.06929$	$[0, 1, 0, -274105, -56374133]$	\(y^2=x^3+x^2-274105x-56374133\)	22.2.0.a.1	$[ ]$
16456.o1	16456h2	16456.o	16456h	$2$	$2$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{11} \cdot 11^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$13.33036770$	$1$		$1$	$22400$	$1.067102$	$6097250/289$	$0.87700$	$3.87656$	$[0, -1, 0, -5848, -162996]$	\(y^2=x^3-x^2-5848x-162996\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[(-666455/117, 100639954/117)]$
16456.o2	16456h1	16456.o	16456h	$2$	$2$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 11^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$136$	$12$	$0$	$6.665183854$	$1$		$1$	$11200$	$0.720529$	$62500/17$	$0.89869$	$3.33336$	$[0, -1, 0, -1008, 9308]$	\(y^2=x^3-x^2-1008x+9308\)	2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.?	$[(754/9, 18512/9)]$

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