Elliptic curve search results

Results (12 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
12482.f1	12482e2	12482.f	12482e	$2$	$7$	\( 2 \cdot 79^{2} \)	\( 2^{7} \cdot 79^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.16.0.2	7B.2.3	$4424$	$96$	$2$	$1$	$1$		$0$	$431340$	$2.773830$	$1916782322625/128$	$1.04638$	$6.70451$	$[1, -1, 1, -29736415, -62406419129]$	\(y^2+xy+y=x^3-x^2-29736415x-62406419129\)	7.16.0-7.a.1.1, 8.2.0.b.1, 56.32.0-56.b.1.2, 553.48.0.?, 4424.96.2.?	$[ ]$
12482.g1	12482f2	12482.g	12482f	$2$	$7$	\( 2 \cdot 79^{2} \)	\( 2^{7} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.8.0.1	7B	$4424$	$96$	$2$	$0.480844128$	$1$		$2$	$5460$	$0.589108$	$1916782322625/128$	$1.04638$	$3.92498$	$[1, -1, 1, -4765, 127781]$	\(y^2+xy+y=x^3-x^2-4765x+127781\)	7.8.0.a.1, 8.2.0.b.1, 56.16.0.b.1, 553.48.0.?, 4424.96.2.?	$[(39, -8)]$
99856.i1	99856e2	99856.i	99856e	$2$	$7$	\( 2^{4} \cdot 79^{2} \)	\( 2^{19} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.8.0.1	7B	$4424$	$96$	$2$	$4.090807622$	$1$		$2$	$131040$	$1.282255$	$1916782322625/128$	$1.04638$	$3.93853$	$[0, 0, 0, -76235, -8101766]$	\(y^2=x^3-76235x-8101766\)	7.8.0.a.1, 8.2.0.b.1, 56.16.0.b.1, 553.24.0.?, 2212.48.0.?, $\ldots$	$[(645, 14528)]$
99856.j1	99856b2	99856.j	99856b	$2$	$7$	\( 2^{4} \cdot 79^{2} \)	\( 2^{19} \cdot 79^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.8.0.1	7B	$4424$	$96$	$2$	$1$	$4$	$2$	$0$	$10352160$	$3.466980$	$1916782322625/128$	$1.04638$	$6.21597$	$[0, 0, 0, -475782635, 3994486606874]$	\(y^2=x^3-475782635x+3994486606874\)	7.8.0.a.1, 8.2.0.b.1, 28.16.0-7.a.1.2, 56.32.0-56.b.1.3, 553.24.0.?, $\ldots$	$[ ]$
112338.b1	112338d2	112338.b	112338d	$2$	$7$	\( 2 \cdot 3^{2} \cdot 79^{2} \)	\( 2^{7} \cdot 3^{6} \cdot 79^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.8.0.1	7B	$13272$	$96$	$2$	$10.08488171$	$1$		$2$	$13802880$	$3.323139$	$1916782322625/128$	$1.04638$	$6.00459$	$[1, -1, 0, -267627732, 1685240944208]$	\(y^2+xy=x^3-x^2-267627732x+1685240944208\)	7.8.0.a.1, 8.2.0.b.1, 21.16.0-7.a.1.1, 56.16.0.b.1, 168.32.0.?, $\ldots$	$[(37447/2, 74891/2), (282954139/173, -32032650706/173)]$
112338.c1	112338f2	112338.c	112338f	$2$	$7$	\( 2 \cdot 3^{2} \cdot 79^{2} \)	\( 2^{7} \cdot 3^{6} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.8.0.1	7B	$13272$	$96$	$2$	$8.681028694$	$1$		$2$	$174720$	$1.138414$	$1916782322625/128$	$1.04638$	$3.75021$	$[1, -1, 0, -42882, -3407212]$	\(y^2+xy=x^3-x^2-42882x-3407212\)	7.8.0.a.1, 8.2.0.b.1, 56.16.0.b.1, 553.24.0.?, 1659.48.0.?, $\ldots$	$[(17551, 2316172)]$
312050.g1	312050g2	312050.g	312050g	$2$	$7$	\( 2 \cdot 5^{2} \cdot 79^{2} \)	\( 2^{7} \cdot 5^{6} \cdot 79^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.8.0.1	7B	$22120$	$96$	$2$	$4.501737358$	$1$		$6$	$786240$	$1.393827$	$1916782322625/128$	$1.04638$	$3.68963$	$[1, -1, 0, -119117, 15853541]$	\(y^2+xy=x^3-x^2-119117x+15853541\)	7.8.0.a.1, 8.2.0.b.1, 56.16.0.b.1, 553.24.0.?, 2765.48.0.?, $\ldots$	$[(199, -87), (9767/7, -32656/7)]$
312050.h1	312050h2	312050.h	312050h	$2$	$7$	\( 2 \cdot 5^{2} \cdot 79^{2} \)	\( 2^{7} \cdot 5^{6} \cdot 79^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.8.0.1	7B	$22120$	$96$	$2$	$37.21208854$	$1$		$0$	$62112960$	$3.578552$	$1916782322625/128$	$1.04638$	$5.76194$	$[1, -1, 0, -743410367, -7801545801459]$	\(y^2+xy=x^3-x^2-743410367x-7801545801459\)	7.8.0.a.1, 8.2.0.b.1, 35.16.0-7.a.1.2, 56.16.0.b.1, 280.32.0.?, $\ldots$	$[(16513918357528635119/22601659, 15932030277897414891975566077/22601659)]$
399424.v1	399424v2	399424.v	399424v	$2$	$7$	\( 2^{6} \cdot 79^{2} \)	\( 2^{25} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.8.0.1	7B	$4424$	$96$	$2$	$7.321426006$	$1$		$0$	$1048320$	$1.628828$	$1916782322625/128$	$1.04638$	$3.83765$	$[0, 0, 0, -304940, -64814128]$	\(y^2=x^3-304940x-64814128\)	7.8.0.a.1, 8.2.0.b.1, 56.16.0.b.1, 553.24.0.?, 2212.48.0.?, $\ldots$	$[(-1186342/61, 438528/61)]$
399424.w1	399424w2	399424.w	399424w	$2$	$7$	\( 2^{6} \cdot 79^{2} \)	\( 2^{25} \cdot 79^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.8.0.1	7B	$4424$	$96$	$2$	$16.65439890$	$1$		$0$	$82817280$	$3.813553$	$1916782322625/128$	$1.04638$	$5.87031$	$[0, 0, 0, -1903130540, -31955892854992]$	\(y^2=x^3-1903130540x-31955892854992\)	7.8.0.a.1, 8.2.0.b.1, 14.16.0-7.a.1.1, 56.32.0-56.b.1.7, 553.24.0.?, $\ldots$	$[(-4545321460826/13435, 446394212556032/13435)]$
399424.x1	399424x2	399424.x	399424x	$2$	$7$	\( 2^{6} \cdot 79^{2} \)	\( 2^{25} \cdot 79^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.8.0.1	7B	$4424$	$96$	$2$	$1$	$1$		$0$	$82817280$	$3.813553$	$1916782322625/128$	$1.04638$	$5.87031$	$[0, 0, 0, -1903130540, 31955892854992]$	\(y^2=x^3-1903130540x+31955892854992\)	7.8.0.a.1, 8.2.0.b.1, 28.16.0-7.a.1.4, 56.32.0-56.b.1.6, 553.24.0.?, $\ldots$	$[ ]$
399424.y1	399424y2	399424.y	399424y	$2$	$7$	\( 2^{6} \cdot 79^{2} \)	\( 2^{25} \cdot 79^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.8.0.1	7B	$4424$	$96$	$2$	$1$	$1$		$0$	$1048320$	$1.628828$	$1916782322625/128$	$1.04638$	$3.83765$	$[0, 0, 0, -304940, 64814128]$	\(y^2=x^3-304940x+64814128\)	7.8.0.a.1, 8.2.0.b.1, 56.16.0.b.1, 553.24.0.?, 1106.48.0.?, $\ldots$	$[ ]$

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