Elliptic curve search results

Results (18 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
13650.k1	13650n2	13650.k	13650n	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2 \cdot 3^{5} \cdot 5^{3} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$42240$	$1.160662$	$1726143065560493/9662982966$	$0.96546$	$4.19188$	$[1, 1, 0, -12495, -540225]$	\(y^2+xy=x^3+x^2-12495x-540225\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
13650.di1	13650di2	13650.di	13650di	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2 \cdot 3^{5} \cdot 5^{9} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$211200$	$1.965380$	$1726143065560493/9662982966$	$0.96546$	$5.20607$	$[1, 0, 0, -312388, -66903358]$	\(y^2+xy=x^3-312388x-66903358\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
40950.bo1	40950cu2	40950.bo	40950cu	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2 \cdot 3^{11} \cdot 5^{9} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$0.663522045$	$1$		$10$	$1689600$	$2.514687$	$1726143065560493/9662982966$	$0.96546$	$5.28820$	$[1, -1, 0, -2811492, 1806390666]$	\(y^2+xy=x^3-x^2-2811492x+1806390666\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(435, 25581)]$
40950.cv1	40950fa2	40950.cv	40950fa	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2 \cdot 3^{11} \cdot 5^{3} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$337920$	$1.709967$	$1726143065560493/9662982966$	$0.96546$	$4.37893$	$[1, -1, 1, -112460, 14473617]$	\(y^2+xy+y=x^3-x^2-112460x+14473617\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
95550.fw1	95550fv2	95550.fw	95550fv	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2 \cdot 3^{5} \cdot 5^{3} \cdot 7^{12} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1.097601457$	$1$		$6$	$2027520$	$2.133617$	$1726143065560493/9662982966$	$0.96546$	$4.49870$	$[1, 0, 1, -612281, 183460358]$	\(y^2+xy+y=x^3-612281x+183460358\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(312, 4621)]$
95550.ir1	95550ia2	95550.ir	95550ia	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2 \cdot 3^{5} \cdot 5^{9} \cdot 7^{12} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$9$	$3$	$0$	$10137600$	$2.938335$	$1726143065560493/9662982966$	$0.96546$	$5.34080$	$[1, 1, 1, -15307013, 22932544781]$	\(y^2+xy+y=x^3+x^2-15307013x+22932544781\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
109200.a1	109200en2	109200.a	109200en	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{13} \cdot 3^{5} \cdot 5^{9} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$5068800$	$2.658527$	$1726143065560493/9662982966$	$0.96546$	$4.98989$	$[0, -1, 0, -4998208, 4281814912]$	\(y^2=x^3-x^2-4998208x+4281814912\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
109200.ft1	109200hg2	109200.ft	109200hg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{13} \cdot 3^{5} \cdot 5^{3} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$0.152743764$	$1$		$17$	$1013760$	$1.853809$	$1726143065560493/9662982966$	$0.96546$	$4.15749$	$[0, 1, 0, -199928, 34174548]$	\(y^2=x^3+x^2-199928x+34174548\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(-2, 5880)]$
177450.cr1	177450fv2	177450.cr	177450fv	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2 \cdot 3^{5} \cdot 5^{9} \cdot 7^{6} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$5.319085726$	$1$		$2$	$35481600$	$3.247856$	$1726143065560493/9662982966$	$0.96546$	$5.37456$	$[1, 0, 1, -52793576, -146933883952]$	\(y^2+xy+y=x^3-52793576x-146933883952\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(31578, 5431672)]$
177450.go1	177450ck2	177450.go	177450ck	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2 \cdot 3^{5} \cdot 5^{3} \cdot 7^{6} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$7096320$	$2.443134$	$1726143065560493/9662982966$	$0.96546$	$4.57560$	$[1, 1, 1, -2111743, -1176315769]$	\(y^2+xy+y=x^3+x^2-2111743x-1176315769\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
286650.d1	286650d2	286650.d	286650d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2 \cdot 3^{11} \cdot 5^{9} \cdot 7^{12} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$81100800$	$3.487640$	$1726143065560493/9662982966$	$0.96546$	$5.39843$	$[1, -1, 0, -137763117, -619316472209]$	\(y^2+xy=x^3-x^2-137763117x-619316472209\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
286650.ix1	286650ix2	286650.ix	286650ix	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2 \cdot 3^{11} \cdot 5^{3} \cdot 7^{12} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$16220160$	$2.682922$	$1726143065560493/9662982966$	$0.96546$	$4.62996$	$[1, -1, 1, -5510525, -4953429673]$	\(y^2+xy+y=x^3-x^2-5510525x-4953429673\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
327600.gq1	327600gq2	327600.gq	327600gq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{13} \cdot 3^{11} \cdot 5^{9} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$10.06893211$	$1$		$3$	$40550400$	$3.207832$	$1726143065560493/9662982966$	$0.96546$	$5.07727$	$[0, 0, 0, -44983875, -115564018750]$	\(y^2=x^3-44983875x-115564018750\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(7491929, 20506441592)]$
327600.nt1	327600nt2	327600.nt	327600nt	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{13} \cdot 3^{11} \cdot 5^{3} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1.665636792$	$1$		$7$	$8110080$	$2.403114$	$1726143065560493/9662982966$	$0.96546$	$4.31688$	$[0, 0, 0, -1799355, -924512150]$	\(y^2=x^3-1799355x-924512150\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(-769, 2106)]$
436800.fq1	436800fq2	436800.fq	436800fq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{19} \cdot 3^{5} \cdot 5^{9} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$3.442530110$	$1$		$3$	$40550400$	$3.005100$	$1726143065560493/9662982966$	$0.96546$	$4.77748$	$[0, -1, 0, -19992833, -34234526463]$	\(y^2=x^3-x^2-19992833x-34234526463\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(-2559, 12768)]$
436800.kd1	436800kd2	436800.kd	436800kd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{19} \cdot 3^{5} \cdot 5^{3} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1.101319567$	$1$		$7$	$8110080$	$2.200382$	$1726143065560493/9662982966$	$0.96546$	$4.03393$	$[0, -1, 0, -799713, 274196097]$	\(y^2=x^3-x^2-799713x+274196097\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(557, 1120)]$
436800.km1	436800km2	436800.km	436800km	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{19} \cdot 3^{5} \cdot 5^{3} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$8110080$	$2.200382$	$1726143065560493/9662982966$	$0.96546$	$4.03393$	$[0, 1, 0, -799713, -274196097]$	\(y^2=x^3+x^2-799713x-274196097\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
436800.ov1	436800ov2	436800.ov	436800ov	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{19} \cdot 3^{5} \cdot 5^{9} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$40550400$	$3.005100$	$1726143065560493/9662982966$	$0.96546$	$4.77748$	$[0, 1, 0, -19992833, 34234526463]$	\(y^2=x^3+x^2-19992833x+34234526463\)	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$

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