Elliptic curve search results

Results (23 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
4488.b1	4488a2	4488.b	4488a	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.806927060$	$1$		$3$	$2304$	$0.579484$	$30248395634/1499553$	$0.88414$	$3.77651$	$[0, -1, 0, -824, -8436]$	\(y^2=x^3-x^2-824x-8436\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-15, 18)]$
8976.x1	8976j2	8976.x	8976j	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.293986165$	$1$		$11$	$4608$	$0.579484$	$30248395634/1499553$	$0.88414$	$3.48893$	$[0, 1, 0, -824, 8436]$	\(y^2=x^3+x^2-824x+8436\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(10, 36)]$
13464.p1	13464u2	13464.p	13464u	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{12} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.219136773$	$1$		$3$	$18432$	$1.128790$	$30248395634/1499553$	$0.88414$	$4.03344$	$[0, 0, 0, -7419, 235190]$	\(y^2=x^3-7419x+235190\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(382, 7290)]$
26928.bs1	26928n2	26928.bs	26928n	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{12} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.249092387$	$1$		$5$	$36864$	$1.128790$	$30248395634/1499553$	$0.88414$	$3.75937$	$[0, 0, 0, -7419, -235190]$	\(y^2=x^3-7419x-235190\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-57, 50)]$
35904.bm1	35904bo2	35904.bm	35904bo	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{17} \cdot 3^{6} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.926058$	$30248395634/1499553$	$0.88414$	$3.42431$	$[0, -1, 0, -3297, 70785]$	\(y^2=x^3-x^2-3297x+70785\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[ ]$
35904.cs1	35904bj2	35904.cs	35904bj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{17} \cdot 3^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.030092976$	$1$		$5$	$36864$	$0.926058$	$30248395634/1499553$	$0.88414$	$3.42431$	$[0, 1, 0, -3297, -70785]$	\(y^2=x^3+x^2-3297x-70785\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-30, 45)]$
49368.f1	49368z2	49368.f	49368z	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{6} \cdot 11^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$276480$	$1.778431$	$30248395634/1499553$	$0.88414$	$4.26987$	$[0, -1, 0, -99744, 11627244]$	\(y^2=x^3-x^2-99744x+11627244\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[ ]$
76296.u1	76296h2	76296.u	76296h	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{6} \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$8.106664290$	$1$		$1$	$663552$	$1.996092$	$30248395634/1499553$	$0.88414$	$4.33686$	$[0, 1, 0, -238232, -42875280]$	\(y^2=x^3+x^2-238232x-42875280\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-16085/7, 85770/7)]$
98736.cn1	98736bh2	98736.cn	98736bh	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{6} \cdot 11^{8} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.660348434$	$1$		$13$	$552960$	$1.778431$	$30248395634/1499553$	$0.88414$	$4.01251$	$[0, 1, 0, -99744, -11627244]$	\(y^2=x^3+x^2-99744x-11627244\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-180, 726), (-204, 522)]$
107712.o1	107712bq2	107712.o	107712bq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{17} \cdot 3^{12} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.998754013$	$1$		$9$	$294912$	$1.475365$	$30248395634/1499553$	$0.88414$	$3.66852$	$[0, 0, 0, -29676, 1881520]$	\(y^2=x^3-29676x+1881520\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(278, 3888)]$
107712.bn1	107712fd2	107712.bn	107712fd	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{17} \cdot 3^{12} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.285509601$	$1$		$5$	$294912$	$1.475365$	$30248395634/1499553$	$0.88414$	$3.66852$	$[0, 0, 0, -29676, -1881520]$	\(y^2=x^3-29676x-1881520\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-83, 99)]$
112200.ch1	112200cd2	112200.ch	112200cd	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$294912$	$1.384203$	$30248395634/1499553$	$0.88414$	$3.56156$	$[0, 1, 0, -20608, -1095712]$	\(y^2=x^3+x^2-20608x-1095712\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[ ]$
148104.cd1	148104cd2	148104.cd	148104cd	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{12} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.920573475$	$4$	$2$	$3$	$2211840$	$2.327740$	$30248395634/1499553$	$0.88414$	$4.42952$	$[0, 0, 0, -897699, -313037890]$	\(y^2=x^3-897699x-313037890\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(1298, 26620)]$
152592.bb1	152592dg2	152592.bb	152592dg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{6} \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.051497365$	$1$		$7$	$1327104$	$1.996092$	$30248395634/1499553$	$0.88414$	$4.08500$	$[0, -1, 0, -238232, 42875280]$	\(y^2=x^3-x^2-238232x+42875280\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(32, 5940)]$
219912.bs1	219912bj2	219912.bs	219912bj	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{6} \cdot 7^{6} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$829440$	$1.552439$	$30248395634/1499553$	$0.88414$	$3.53084$	$[0, 1, 0, -40392, 2974320]$	\(y^2=x^3+x^2-40392x+2974320\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[ ]$
224400.bp1	224400hx2	224400.bp	224400hx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.166853616$	$1$		$7$	$589824$	$1.384203$	$30248395634/1499553$	$0.88414$	$3.36120$	$[0, -1, 0, -20608, 1095712]$	\(y^2=x^3-x^2-20608x+1095712\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(42, 550)]$
228888.r1	228888g2	228888.r	228888g	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{12} \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$4.562606358$	$1$		$1$	$5308416$	$2.545399$	$30248395634/1499553$	$0.88414$	$4.48491$	$[0, 0, 0, -2144091, 1155488470]$	\(y^2=x^3-2144091x+1155488470\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(50201/4, 10182915/4)]$
296208.ej1	296208ej2	296208.ej	296208ej	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{12} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.252638960$	$1$		$3$	$4423680$	$2.327740$	$30248395634/1499553$	$0.88414$	$4.18582$	$[0, 0, 0, -897699, 313037890]$	\(y^2=x^3-897699x+313037890\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-187, 21780)]$
336600.dg1	336600dg2	336600.dg	336600dg	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{12} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.234513556$	$1$		$3$	$2359296$	$1.933510$	$30248395634/1499553$	$0.88414$	$3.77206$	$[0, 0, 0, -185475, 29398750]$	\(y^2=x^3-185475x+29398750\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(50, 4500)]$
394944.dj1	394944dj2	394944.dj	394944dj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{17} \cdot 3^{6} \cdot 11^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$4423680$	$2.125004$	$30248395634/1499553$	$0.88414$	$3.90359$	$[0, -1, 0, -398977, -92618975]$	\(y^2=x^3-x^2-398977x-92618975\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[ ]$
394944.ir1	394944ir2	394944.ir	394944ir	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{17} \cdot 3^{6} \cdot 11^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$4423680$	$2.125004$	$30248395634/1499553$	$0.88414$	$3.90359$	$[0, 1, 0, -398977, 92618975]$	\(y^2=x^3+x^2-398977x+92618975\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[ ]$
439824.ct1	439824ct2	439824.ct	439824ct	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{6} \cdot 7^{6} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$1658880$	$1.552439$	$30248395634/1499553$	$0.88414$	$3.34249$	$[0, -1, 0, -40392, -2974320]$	\(y^2=x^3-x^2-40392x-2974320\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[ ]$
457776.bd1	457776bd2	457776.bd	457776bd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{12} \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.195016970$	$1$		$7$	$10616832$	$2.545399$	$30248395634/1499553$	$0.88414$	$4.24641$	$[0, 0, 0, -2144091, -1155488470]$	\(y^2=x^3-2144091x-1155488470\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-697, 578)]$

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