Elliptic curve search results

Results (21 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
1406.f1	1406f1	1406.f	1406f	$1$	$1$	\( 2 \cdot 19 \cdot 37 \)	\( - 2^{7} \cdot 19 \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$152$	$2$	$0$	$0.263753157$	$1$		$6$	$224$	$-0.063524$	$-761048497/3329408$	$0.85394$	$3.11751$	$[1, 0, 0, -19, -95]$	\(y^2+xy=x^3-19x-95\)	152.2.0.?	$[(18, 65)]$
11248.f1	11248d1	11248.f	11248d	$1$	$1$	\( 2^{4} \cdot 19 \cdot 37 \)	\( - 2^{19} \cdot 19 \cdot 37^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.562135037$	$1$		$16$	$5376$	$0.629622$	$-761048497/3329408$	$0.85394$	$3.31424$	$[0, -1, 0, -304, 6080]$	\(y^2=x^3-x^2-304x+6080\)	152.2.0.?	$[(8, 64), (2, 74)]$
12654.e1	12654g1	12654.e	12654g	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 37 \)	\( - 2^{7} \cdot 3^{6} \cdot 19 \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1.511194287$	$1$		$4$	$6720$	$0.485782$	$-761048497/3329408$	$0.85394$	$3.09017$	$[1, -1, 0, -171, 2565]$	\(y^2+xy=x^3-x^2-171x+2565\)	152.2.0.?	$[(-17, 27)]$
26714.c1	26714i1	26714.c	26714i	$1$	$1$	\( 2 \cdot 19^{2} \cdot 37 \)	\( - 2^{7} \cdot 19^{7} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.518603588$	$1$		$4$	$80640$	$1.408695$	$-761048497/3329408$	$0.85394$	$3.95017$	$[1, 1, 0, -6866, 637876]$	\(y^2+xy=x^3+x^2-6866x+637876\)	152.2.0.?	$[(359, 6499)]$
35150.g1	35150k1	35150.g	35150k	$1$	$1$	\( 2 \cdot 5^{2} \cdot 19 \cdot 37 \)	\( - 2^{7} \cdot 5^{6} \cdot 19 \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$2.076535895$	$1$		$0$	$28672$	$0.741195$	$-761048497/3329408$	$0.85394$	$3.08137$	$[1, 1, 0, -475, -11875]$	\(y^2+xy=x^3+x^2-475x-11875\)	152.2.0.?	$[(175/2, 1675/2)]$
44992.n1	44992k1	44992.n	44992k	$1$	$1$	\( 2^{6} \cdot 19 \cdot 37 \)	\( - 2^{25} \cdot 19 \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$43008$	$0.976196$	$-761048497/3329408$	$0.85394$	$3.27358$	$[0, -1, 0, -1217, -47423]$	\(y^2=x^3-x^2-1217x-47423\)	152.2.0.?	$[ ]$
44992.bh1	44992bm1	44992.bh	44992bm	$1$	$1$	\( 2^{6} \cdot 19 \cdot 37 \)	\( - 2^{25} \cdot 19 \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$43008$	$0.976196$	$-761048497/3329408$	$0.85394$	$3.27358$	$[0, 1, 0, -1217, 47423]$	\(y^2=x^3+x^2-1217x+47423\)	152.2.0.?	$[ ]$
52022.f1	52022c1	52022.f	52022c	$1$	$1$	\( 2 \cdot 19 \cdot 37^{2} \)	\( - 2^{7} \cdot 19 \cdot 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$9.317935898$	$1$		$0$	$306432$	$1.741934$	$-761048497/3329408$	$0.85394$	$4.07598$	$[1, 0, 1, -26040, -4733946]$	\(y^2+xy+y=x^3-26040x-4733946\)	152.2.0.?	$[(2444364/23, 3791195910/23)]$
68894.q1	68894n1	68894.q	68894n	$1$	$1$	\( 2 \cdot 7^{2} \cdot 19 \cdot 37 \)	\( - 2^{7} \cdot 7^{6} \cdot 19 \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.892948573$	$1$		$4$	$84672$	$0.909431$	$-761048497/3329408$	$0.85394$	$3.07646$	$[1, 1, 1, -932, 31653]$	\(y^2+xy+y=x^3+x^2-932x+31653\)	152.2.0.?	$[(21, 137)]$
101232.bb1	101232t1	101232.bb	101232t	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( - 2^{19} \cdot 3^{6} \cdot 19 \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$7.071942672$	$1$		$0$	$161280$	$1.178928$	$-761048497/3329408$	$0.85394$	$3.25433$	$[0, 0, 0, -2739, -161422]$	\(y^2=x^3-2739x-161422\)	152.2.0.?	$[(4601/8, 58867/8)]$
170126.e1	170126k1	170126.e	170126k	$1$	$1$	\( 2 \cdot 11^{2} \cdot 19 \cdot 37 \)	\( - 2^{7} \cdot 11^{6} \cdot 19 \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$322560$	$1.135424$	$-761048497/3329408$	$0.85394$	$3.07072$	$[1, 0, 1, -2302, 124144]$	\(y^2+xy+y=x^3-2302x+124144\)	152.2.0.?	$[ ]$
213712.x1	213712u1	213712.x	213712u	$1$	$1$	\( 2^{4} \cdot 19^{2} \cdot 37 \)	\( - 2^{19} \cdot 19^{7} \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$1935360$	$2.101841$	$-761048497/3329408$	$0.85394$	$3.95862$	$[0, 1, 0, -109864, -41043788]$	\(y^2=x^3+x^2-109864x-41043788\)	152.2.0.?	$[ ]$
237614.i1	237614i1	237614.i	237614i	$1$	$1$	\( 2 \cdot 13^{2} \cdot 19 \cdot 37 \)	\( - 2^{7} \cdot 13^{6} \cdot 19 \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$459648$	$1.218950$	$-761048497/3329408$	$0.85394$	$3.06881$	$[1, 0, 1, -3215, -205502]$	\(y^2+xy+y=x^3-3215x-205502\)	152.2.0.?	$[ ]$
240426.cf1	240426cf1	240426.cf	240426cf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 37 \)	\( - 2^{7} \cdot 3^{6} \cdot 19^{7} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$2.109883355$	$1$		$0$	$2419200$	$1.958002$	$-761048497/3329408$	$0.85394$	$3.78167$	$[1, -1, 1, -61799, -17284449]$	\(y^2+xy+y=x^3-x^2-61799x-17284449\)	152.2.0.?	$[(3655/3, 128074/3)]$
281200.bo1	281200bo1	281200.bo	281200bo	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19 \cdot 37 \)	\( - 2^{19} \cdot 5^{6} \cdot 19 \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$2.571697343$	$1$		$2$	$688128$	$1.434341$	$-761048497/3329408$	$0.85394$	$3.23362$	$[0, 1, 0, -7608, 744788]$	\(y^2=x^3+x^2-7608x+744788\)	152.2.0.?	$[(748, 20350)]$
316350.dp1	316350dp1	316350.dp	316350dp	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 37 \)	\( - 2^{7} \cdot 3^{6} \cdot 5^{6} \cdot 19 \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.931167154$	$1$		$4$	$860160$	$1.290501$	$-761048497/3329408$	$0.85394$	$3.06725$	$[1, -1, 1, -4280, 316347]$	\(y^2+xy+y=x^3-x^2-4280x+316347\)	152.2.0.?	$[(99, 875)]$
404928.z1	404928z1	404928.z	404928z	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( - 2^{25} \cdot 3^{6} \cdot 19 \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$2.002370928$	$1$		$2$	$1290240$	$1.525503$	$-761048497/3329408$	$0.85394$	$3.22702$	$[0, 0, 0, -10956, 1291376]$	\(y^2=x^3-10956x+1291376\)	152.2.0.?	$[(-82, 1280)]$
404928.bf1	404928bf1	404928.bf	404928bf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( - 2^{25} \cdot 3^{6} \cdot 19 \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$5.121551743$	$1$		$2$	$1290240$	$1.525503$	$-761048497/3329408$	$0.85394$	$3.22702$	$[0, 0, 0, -10956, -1291376]$	\(y^2=x^3-10956x-1291376\)	152.2.0.?	$[(4434, 295168)]$
406334.w1	406334w1	406334.w	406334w	$1$	$1$	\( 2 \cdot 17^{2} \cdot 19 \cdot 37 \)	\( - 2^{7} \cdot 17^{6} \cdot 19 \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$985600$	$1.353083$	$-761048497/3329408$	$0.85394$	$3.06595$	$[1, 1, 1, -5497, -461241]$	\(y^2+xy+y=x^3+x^2-5497x-461241\)	152.2.0.?	$[ ]$
416176.n1	416176n1	416176.n	416176n	$1$	$1$	\( 2^{4} \cdot 19 \cdot 37^{2} \)	\( - 2^{19} \cdot 19 \cdot 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$6.776562538$	$1$		$0$	$7354368$	$2.435081$	$-761048497/3329408$	$0.85394$	$4.06377$	$[0, -1, 0, -416632, 302972528]$	\(y^2=x^3-x^2-416632x+302972528\)	152.2.0.?	$[(-250406/17, 17525938/17)]$
468198.cc1	468198cc1	468198.cc	468198cc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 37^{2} \)	\( - 2^{7} \cdot 3^{6} \cdot 19 \cdot 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1.620685775$	$1$		$4$	$9192960$	$2.291241$	$-761048497/3329408$	$0.85394$	$3.89491$	$[1, -1, 1, -234356, 127816535]$	\(y^2+xy+y=x^3-x^2-234356x+127816535\)	152.2.0.?	$[(3469, 200877)]$

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