Elliptic curve search results

Results (12 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
10010.o1	10010z3	10010.o	10010z	$4$	$6$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 5^{2} \cdot 7^{3} \cdot 11 \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$120120$	$96$	$1$	$1$	$1$		$1$	$43200$	$1.411043$	$569541582763202518561/828928100$	$0.95323$	$5.18832$	$[1, 0, 0, -172690, -27636000]$	\(y^2+xy=x^3-172690x-27636000\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.d.1, 120.48.0.?, $\ldots$	$[ ]$
50050.ba1	50050i3	50050.ba	50050i	$4$	$6$	\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 5^{8} \cdot 7^{3} \cdot 11 \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$1$	$9$	$3$	$1$	$1036800$	$2.215763$	$569541582763202518561/828928100$	$0.95323$	$5.30904$	$[1, 1, 0, -4317250, -3454500000]$	\(y^2+xy=x^3+x^2-4317250x-3454500000\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0-6.a.1.15, $\ldots$	$[ ]$
70070.ch1	70070bp3	70070.ch	70070bp	$4$	$6$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 5^{2} \cdot 7^{9} \cdot 11 \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$1$	$9$	$3$	$1$	$2073600$	$2.383999$	$569541582763202518561/828928100$	$0.95323$	$5.32988$	$[1, 1, 1, -8461811, 9470686189]$	\(y^2+xy+y=x^3+x^2-8461811x+9470686189\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 40.6.0.d.1, $\ldots$	$[ ]$
80080.bw1	80080bl3	80080.bw	80080bl	$4$	$6$	\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 5^{2} \cdot 7^{3} \cdot 11 \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$1$	$1$		$1$	$1036800$	$2.104191$	$569541582763202518561/828928100$	$0.95323$	$4.96946$	$[0, -1, 0, -2763040, 1768704000]$	\(y^2=x^3-x^2-2763040x+1768704000\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.d.1, $\ldots$	$[ ]$
90090.o1	90090z3	90090.o	90090z	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \cdot 11 \cdot 13^{3} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$120120$	$96$	$1$	$1$	$1$		$5$	$1036800$	$1.960350$	$569541582763202518561/828928100$	$0.95323$	$4.76686$	$[1, -1, 0, -1554210, 746172000]$	\(y^2+xy=x^3-x^2-1554210x+746172000\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.d.1, 120.48.0.?, $\ldots$	$[ ]$
110110.f1	110110x3	110110.f	110110x	$4$	$6$	\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{2} \cdot 5^{2} \cdot 7^{3} \cdot 11^{7} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$3.027339223$	$1$		$3$	$5184000$	$2.609989$	$569541582763202518561/828928100$	$0.95323$	$5.35597$	$[1, 0, 1, -20895493, 36762620508]$	\(y^2+xy+y=x^3-20895493x+36762620508\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 40.6.0.d.1, $\ldots$	$[(2144, 41580)]$
130130.c1	130130c3	130130.c	130130c	$4$	$6$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 5^{2} \cdot 7^{3} \cdot 11 \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$8.457827078$	$1$		$1$	$7257600$	$2.693520$	$569541582763202518561/828928100$	$0.95323$	$5.36511$	$[1, 0, 1, -29184614, -60687107388]$	\(y^2+xy+y=x^3-29184614x-60687107388\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 40.6.0.d.1, $\ldots$	$[(1073491/9, 994814911/9)]$
320320.e1	320320e3	320320.e	320320e	$4$	$6$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{20} \cdot 5^{2} \cdot 7^{3} \cdot 11 \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$4.127148819$	$1$		$3$	$8294400$	$2.450764$	$569541582763202518561/828928100$	$0.95323$	$4.75409$	$[0, 1, 0, -11052161, 14138579839]$	\(y^2=x^3+x^2-11052161x+14138579839\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 40.6.0.d.1, $\ldots$	$[(1829, 6780)]$
320320.eu1	320320eu3	320320.eu	320320eu	$4$	$6$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{20} \cdot 5^{2} \cdot 7^{3} \cdot 11 \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$1$	$1$		$1$	$8294400$	$2.450764$	$569541582763202518561/828928100$	$0.95323$	$4.75409$	$[0, -1, 0, -11052161, -14138579839]$	\(y^2=x^3-x^2-11052161x-14138579839\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 40.6.0.d.1, $\ldots$	$[ ]$
350350.v1	350350v3	350350.v	350350v	$4$	$6$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 5^{8} \cdot 7^{9} \cdot 11 \cdot 13^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$2.019408578$	$1$		$17$	$49766400$	$3.188717$	$569541582763202518561/828928100$	$0.95323$	$5.41436$	$[1, 0, 1, -211545276, 1184258864198]$	\(y^2+xy+y=x^3-211545276x+1184258864198\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.d.1, 105.8.0.?, $\ldots$	$[(8621, 31361), (8387, -2569)]$
400400.w1	400400w3	400400.w	400400w	$4$	$6$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 5^{8} \cdot 7^{3} \cdot 11 \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$2.199305372$	$1$		$5$	$24883200$	$2.908909$	$569541582763202518561/828928100$	$0.95323$	$5.09803$	$[0, 1, 0, -69076008, 220949847988]$	\(y^2=x^3+x^2-69076008x+220949847988\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 40.6.0.d.1, $\ldots$	$[(4814, 1904)]$
450450.fv1	450450fv3	450450.fv	450450fv	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{8} \cdot 7^{3} \cdot 11 \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$9.077898670$	$1$		$1$	$24883200$	$2.765068$	$569541582763202518561/828928100$	$0.95323$	$4.91932$	$[1, -1, 1, -38855255, 93232644747]$	\(y^2+xy+y=x^3-x^2-38855255x+93232644747\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0-6.a.1.7, $\ldots$	$[(285561/8, 46556625/8)]$

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