Elliptic curve search results

Results (16 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
6006.s1	6006s2	6006.s	6006s	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$8008$	$12$	$0$	$1$	$1$		$0$	$2048$	$0.277616$	$33116363266897/2576574$	$0.89862$	$3.57807$	$1$	$[1, 1, 1, -669, -6939]$	\(y^2+xy+y=x^3+x^2-669x-6939\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[ ]$	$1$
18018.m1	18018f2	18018.m	18018f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{8} \cdot 7 \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$1.501382332$	$1$		$4$	$16384$	$0.826921$	$33116363266897/2576574$	$0.89862$	$3.84960$	$1$	$[1, -1, 0, -6021, 181327]$	\(y^2+xy=x^3-x^2-6021x+181327\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[(9, 353)]$	$1$
42042.dn1	42042dl2	42042.dn	42042dl	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{2} \cdot 7^{7} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$3.445871308$	$1$		$0$	$98304$	$1.250570$	$33116363266897/2576574$	$0.89862$	$4.02074$	$1$	$[1, 0, 0, -32782, 2281670]$	\(y^2+xy=x^3-32782x+2281670\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[(611/2, 6739/2)]$	$1$
48048.bx1	48048ct2	48048.bx	48048ct	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{13} \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$1.298270717$	$1$		$7$	$49152$	$0.970763$	$33116363266897/2576574$	$0.89862$	$3.65946$	$1$	$[0, 1, 0, -10704, 422676]$	\(y^2=x^3+x^2-10704x+422676\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[(60, 6)]$	$1$
66066.c1	66066q2	66066.c	66066q	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{8} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$0.875218526$	$1$		$6$	$245760$	$1.476562$	$33116363266897/2576574$	$0.89862$	$4.10135$	$1$	$[1, 1, 0, -80951, 8830815]$	\(y^2+xy=x^3+x^2-80951x+8830815\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[(127, 723)]$	$1$
78078.r1	78078p2	78078.r	78078p	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$1$	$1$		$0$	$344064$	$1.560091$	$33116363266897/2576574$	$0.89862$	$4.12950$	$1$	$[1, 1, 0, -113064, -14679270]$	\(y^2+xy=x^3+x^2-113064x-14679270\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[ ]$	$1$
126126.n1	126126bx2	126126.n	126126bx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{8} \cdot 7^{7} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$3.857563939$	$1$		$2$	$786432$	$1.799877$	$33116363266897/2576574$	$0.89862$	$4.20588$	$1$	$[1, -1, 0, -295038, -61605090]$	\(y^2+xy=x^3-x^2-295038x-61605090\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[(681, 6936)]$	$1$
144144.dz1	144144bm2	144144.dz	144144bm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{13} \cdot 3^{8} \cdot 7 \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$1$	$1$		$1$	$393216$	$1.520069$	$33116363266897/2576574$	$0.89862$	$3.87593$	$1$	$[0, 0, 0, -96339, -11508590]$	\(y^2=x^3-96339x-11508590\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[ ]$	$1$
150150.dc1	150150eb2	150150.dc	150150eb	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{2} \cdot 5^{6} \cdot 7 \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$1$	$1$		$0$	$262144$	$1.082335$	$33116363266897/2576574$	$0.89862$	$3.42196$	$1$	$[1, 0, 1, -16726, -833902]$	\(y^2+xy+y=x^3-16726x-833902\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[ ]$	$1$
192192.du1	192192df2	192192.du	192192df	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{19} \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$1$	$1$		$1$	$393216$	$1.317337$	$33116363266897/2576574$	$0.89862$	$3.58432$	$1$	$[0, -1, 0, -42817, 3424225]$	\(y^2=x^3-x^2-42817x+3424225\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[ ]$	$1$
192192.ha1	192192fy2	192192.ha	192192fy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{19} \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$1$	$1$		$1$	$393216$	$1.317337$	$33116363266897/2576574$	$0.89862$	$3.58432$	$1$	$[0, 1, 0, -42817, -3424225]$	\(y^2=x^3+x^2-42817x-3424225\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[ ]$	$1$
198198.ep1	198198bf2	198198.ep	198198bf	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 3^{8} \cdot 7 \cdot 11^{8} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$23.08708970$	$1$		$0$	$1966080$	$2.025871$	$33116363266897/2576574$	$0.89862$	$4.27236$	$1$	$[1, -1, 1, -728564, -239160567]$	\(y^2+xy+y=x^3-x^2-728564x-239160567\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[(23542028039/4118, 2586241819362753/4118)]$	$1$
234234.dy1	234234dy2	234234.dy	234234dy	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2 \cdot 3^{8} \cdot 7 \cdot 11^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$6.876893633$	$1$		$0$	$2752512$	$2.109398$	$33116363266897/2576574$	$0.89862$	$4.29570$	$1$	$[1, -1, 1, -1017581, 395322711]$	\(y^2+xy+y=x^3-x^2-1017581x+395322711\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[(4079/2, 159339/2)]$	$1$
336336.do1	336336do2	336336.do	336336do	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{13} \cdot 3^{2} \cdot 7^{7} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$2.832631344$	$1$		$3$	$2359296$	$1.943718$	$33116363266897/2576574$	$0.89862$	$4.01735$	$1$	$[0, -1, 0, -524512, -146026880]$	\(y^2=x^3-x^2-524512x-146026880\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[(3589, 210210)]$	$1$
450450.jl1	450450jl2	450450.jl	450450jl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{8} \cdot 5^{6} \cdot 7 \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$1$	$1$		$0$	$2097152$	$1.631641$	$33116363266897/2576574$	$0.89862$	$3.63953$	$1$	$[1, -1, 1, -150530, 22515347]$	\(y^2+xy+y=x^3-x^2-150530x+22515347\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[ ]$	$1$
462462.ev1	462462ev2	462462.ev	462462ev	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 3^{2} \cdot 7^{7} \cdot 11^{8} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$5.651336391$	$1$		$0$	$11796480$	$2.449520$	$33116363266897/2576574$	$0.89862$	$4.38458$	$1$	$[1, 0, 1, -3966625, -3040869394]$	\(y^2+xy+y=x^3-3966625x-3040869394\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[(62350/3, 14743784/3)]$	$1$

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