Elliptic curve search results

Results (14 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
4008.b1	4008c1	4008.b	4008c	$1$	$1$	\( 2^{3} \cdot 3 \cdot 167 \)	\( - 2^{11} \cdot 3^{2} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$3.426139440$	$1$		$2$	$576$	$0.161314$	$-1405190738/1503$	$0.85289$	$3.45826$	$[0, 1, 0, -296, -2064]$	\(y^2=x^3+x^2-296x-2064\)	1336.2.0.?	$[(43, 258)]$
8016.c1	8016b1	8016.c	8016b	$1$	$1$	\( 2^{4} \cdot 3 \cdot 167 \)	\( - 2^{11} \cdot 3^{2} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$0.178421141$	$1$		$8$	$1152$	$0.161314$	$-1405190738/1503$	$0.85289$	$3.19160$	$[0, -1, 0, -296, 2064]$	\(y^2=x^3-x^2-296x+2064\)	1336.2.0.?	$[(8, 12)]$
12024.d1	12024c1	12024.d	12024c	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 167 \)	\( - 2^{11} \cdot 3^{8} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1.729599078$	$1$		$2$	$4608$	$0.710620$	$-1405190738/1503$	$0.85289$	$3.75549$	$[0, 0, 0, -2667, 53062]$	\(y^2=x^3-2667x+53062\)	1336.2.0.?	$[(26, 36)]$
24048.h1	24048d1	24048.h	24048d	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 167 \)	\( - 2^{11} \cdot 3^{8} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$4.586362635$	$1$		$2$	$9216$	$0.710620$	$-1405190738/1503$	$0.85289$	$3.49745$	$[0, 0, 0, -2667, -53062]$	\(y^2=x^3-2667x-53062\)	1336.2.0.?	$[(559, 13158)]$
32064.i1	32064e1	32064.i	32064e	$1$	$1$	\( 2^{6} \cdot 3 \cdot 167 \)	\( - 2^{17} \cdot 3^{2} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$9216$	$0.507887$	$-1405190738/1503$	$0.85289$	$3.16600$	$[0, -1, 0, -1185, -15327]$	\(y^2=x^3-x^2-1185x-15327\)	1336.2.0.?	$[]$
32064.t1	32064t1	32064.t	32064t	$1$	$1$	\( 2^{6} \cdot 3 \cdot 167 \)	\( - 2^{17} \cdot 3^{2} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1.039758452$	$1$		$2$	$9216$	$0.507887$	$-1405190738/1503$	$0.85289$	$3.16600$	$[0, 1, 0, -1185, 15327]$	\(y^2=x^3+x^2-1185x+15327\)	1336.2.0.?	$[(21, 12)]$
96192.g1	96192d1	96192.g	96192d	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 167 \)	\( - 2^{17} \cdot 3^{8} \cdot 167 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1.243978904$	$1$		$12$	$73728$	$1.057194$	$-1405190738/1503$	$0.85289$	$3.43735$	$[0, 0, 0, -10668, 424496]$	\(y^2=x^3-10668x+424496\)	1336.2.0.?	$[(70, 144), (38, 272)]$
96192.j1	96192w1	96192.j	96192w	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 167 \)	\( - 2^{17} \cdot 3^{8} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$73728$	$1.057194$	$-1405190738/1503$	$0.85289$	$3.43735$	$[0, 0, 0, -10668, -424496]$	\(y^2=x^3-10668x-424496\)	1336.2.0.?	$[]$
100200.m1	100200w1	100200.m	100200w	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{11} \cdot 3^{2} \cdot 5^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$80640$	$0.966032$	$-1405190738/1503$	$0.85289$	$3.33016$	$[0, -1, 0, -7408, -243188]$	\(y^2=x^3-x^2-7408x-243188\)	1336.2.0.?	$[]$
196392.l1	196392y1	196392.l	196392y	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 167 \)	\( - 2^{11} \cdot 3^{2} \cdot 7^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$217728$	$1.134268$	$-1405190738/1503$	$0.85289$	$3.31193$	$[0, -1, 0, -14520, 678924]$	\(y^2=x^3-x^2-14520x+678924\)	1336.2.0.?	$[]$
200400.cf1	200400cf1	200400.cf	200400cf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{11} \cdot 3^{2} \cdot 5^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$2.043447180$	$1$		$2$	$161280$	$0.966032$	$-1405190738/1503$	$0.85289$	$3.14108$	$[0, 1, 0, -7408, 243188]$	\(y^2=x^3+x^2-7408x+243188\)	1336.2.0.?	$[(44, 66)]$
300600.bn1	300600bn1	300600.bn	300600bn	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{11} \cdot 3^{8} \cdot 5^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$6.870891690$	$1$		$0$	$645120$	$1.515339$	$-1405190738/1503$	$0.85289$	$3.56270$	$[0, 0, 0, -66675, 6632750]$	\(y^2=x^3-66675x+6632750\)	1336.2.0.?	$[(7414/7, 31338/7)]$
392784.co1	392784co1	392784.co	392784co	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \)	\( - 2^{11} \cdot 3^{2} \cdot 7^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$435456$	$1.134268$	$-1405190738/1503$	$0.85289$	$3.13371$	$[0, 1, 0, -14520, -678924]$	\(y^2=x^3+x^2-14520x-678924\)	1336.2.0.?	$[]$
484968.j1	484968j1	484968.j	484968j	$1$	$1$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 167 \)	\( - 2^{11} \cdot 3^{2} \cdot 11^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$806400$	$1.360262$	$-1405190738/1503$	$0.85289$	$3.29039$	$[0, 1, 0, -35856, 2603808]$	\(y^2=x^3+x^2-35856x+2603808\)	1336.2.0.?	$[]$