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
5658.h1	5658g5	5658.h	5658g	$6$	$8$	\( 2 \cdot 3 \cdot 23 \cdot 41 \)	\( 2^{3} \cdot 3^{2} \cdot 23^{8} \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.48.0.173	2B	$15088$	$192$	$1$	$1$	$4$	$2$	$0$	$79872$	$2.041981$	$30558708894178043523937/9478135170529992$	$0.99978$	$5.99178$	$[1, 0, 0, -651334, -202327012]$	\(y^2+xy=x^3-651334x-202327012\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.r.1.6, 328.96.0.?, 368.96.0.?, $\ldots$	$[ ]$
16974.f1	16974h5	16974.f	16974h	$6$	$8$	\( 2 \cdot 3^{2} \cdot 23 \cdot 41 \)	\( 2^{3} \cdot 3^{8} \cdot 23^{8} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.100	2B	$45264$	$192$	$1$	$2.227175596$	$1$		$4$	$638976$	$2.591286$	$30558708894178043523937/9478135170529992$	$0.99978$	$5.99271$	$[1, -1, 0, -5862006, 5462829324]$	\(y^2+xy=x^3-x^2-5862006x+5462829324\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 12.12.0-4.c.1.1, 24.48.0-8.r.1.6, $\ldots$	$[(1365, 1077)]$
45264.c1	45264l6	45264.c	45264l	$6$	$8$	\( 2^{4} \cdot 3 \cdot 23 \cdot 41 \)	\( 2^{15} \cdot 3^{2} \cdot 23^{8} \cdot 41^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.158	2B	$15088$	$192$	$1$	$1$	$1$		$3$	$1916928$	$2.735130$	$30558708894178043523937/9478135170529992$	$0.99978$	$5.60543$	$[0, -1, 0, -10421344, 12948928768]$	\(y^2=x^3-x^2-10421344x+12948928768\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.r.1.2, 328.96.0.?, 368.96.0.?, $\ldots$	$[ ]$
130134.z1	130134z5	130134.z	130134z	$6$	$8$	\( 2 \cdot 3 \cdot 23^{2} \cdot 41 \)	\( 2^{3} \cdot 3^{2} \cdot 23^{14} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.211	2B	$15088$	$192$	$1$	$4.259705601$	$4$	$2$	$2$	$42172416$	$3.609730$	$30558708894178043523937/9478135170529992$	$0.99978$	$5.99397$	$[1, 0, 0, -344555697, 2461023643617]$	\(y^2+xy=x^3-344555697x+2461023643617\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0-8.r.1.1, 92.12.0.?, $\ldots$	$[(9888, 139473)]$
135792.be1	135792r6	135792.be	135792r	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 23 \cdot 41 \)	\( 2^{15} \cdot 3^{8} \cdot 23^{8} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.100	2B	$45264$	$192$	$1$	$51.75740396$	$1$		$1$	$15335424$	$3.284435$	$30558708894178043523937/9478135170529992$	$0.99978$	$5.64211$	$[0, 0, 0, -93792099, -349527284638]$	\(y^2=x^3-93792099x-349527284638\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 12.12.0-4.c.1.2, 24.48.0-8.r.1.2, $\ldots$	$[(152198037183723957102031/2243739355, 55849415917386780020708637308117946/2243739355)]$
141450.o1	141450ck6	141450.o	141450ck	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \cdot 41 \)	\( 2^{3} \cdot 3^{2} \cdot 5^{6} \cdot 23^{8} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.100	2B	$75440$	$192$	$1$	$3.023885177$	$1$		$2$	$10223616$	$2.846699$	$30558708894178043523937/9478135170529992$	$0.99978$	$5.17977$	$[1, 1, 0, -16283350, -25290876500]$	\(y^2+xy=x^3+x^2-16283350x-25290876500\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 20.12.0-4.c.1.1, 40.48.0-8.r.1.4, $\ldots$	$[(-2305, -385)]$
181056.w1	181056cq6	181056.w	181056cq	$6$	$8$	\( 2^{6} \cdot 3 \cdot 23 \cdot 41 \)	\( 2^{21} \cdot 3^{2} \cdot 23^{8} \cdot 41^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.179	2B	$15088$	$192$	$1$	$26.19771241$	$1$		$5$	$15335424$	$3.081703$	$30558708894178043523937/9478135170529992$	$0.99978$	$5.30709$	$[0, -1, 0, -41685377, -103549744767]$	\(y^2=x^3-x^2-41685377x-103549744767\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.r.1.1, 328.96.0.?, 368.96.0.?, $\ldots$	$[(-3679, 1344), (13123, 1268540)]$
181056.cj1	181056m5	181056.cj	181056m	$6$	$8$	\( 2^{6} \cdot 3 \cdot 23 \cdot 41 \)	\( 2^{21} \cdot 3^{2} \cdot 23^{8} \cdot 41^{2} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.164	2B	$15088$	$192$	$1$	$2.439018070$	$4$	$2$	$7$	$15335424$	$3.081703$	$30558708894178043523937/9478135170529992$	$0.99978$	$5.30709$	$[0, 1, 0, -41685377, 103549744767]$	\(y^2=x^3+x^2-41685377x+103549744767\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.r.1.5, 328.96.0.?, 368.96.0.?, $\ldots$	$[(2949, 79212)]$
231978.l1	231978l6	231978.l	231978l	$6$	$8$	\( 2 \cdot 3 \cdot 23 \cdot 41^{2} \)	\( 2^{3} \cdot 3^{2} \cdot 23^{8} \cdot 41^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.223	2B	$15088$	$192$	$1$	$45.13139375$	$1$		$0$	$134184960$	$3.898766$	$30558708894178043523937/9478135170529992$	$0.99978$	$5.99425$	$[1, 1, 1, -1094892489, -13941295316625]$	\(y^2+xy+y=x^3+x^2-1094892489x-13941295316625\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.r.1.3, 164.12.0.?, 328.96.0.?, $\ldots$	$[(-474131/5, 7594918/5), (-30692351/40, 4337823413/40)]$
277242.bk1	277242bk5	277242.bk	277242bk	$6$	$8$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \cdot 41 \)	\( 2^{3} \cdot 3^{2} \cdot 7^{6} \cdot 23^{8} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.100	2B	$105616$	$192$	$1$	$3.613069378$	$1$		$2$	$30670848$	$3.014935$	$30558708894178043523937/9478135170529992$	$0.99978$	$5.06273$	$[1, 1, 1, -31915367, 69366249749]$	\(y^2+xy+y=x^3+x^2-31915367x+69366249749\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 28.12.0-4.c.1.1, 56.48.0-8.r.1.4, $\ldots$	$[(69, 259126)]$
390402.e1	390402e6	390402.e	390402e	$6$	$8$	\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \)	\( 2^{3} \cdot 3^{8} \cdot 23^{14} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.100	2B	$45264$	$192$	$1$	$80.35518316$	$1$		$0$	$337379328$	$4.159035$	$30558708894178043523937/9478135170529992$	$0.99978$	$5.99448$	$[1, -1, 0, -3101001273, -66447638377659]$	\(y^2+xy=x^3-x^2-3101001273x-66447638377659\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 48.48.0-8.r.1.1, 276.12.0.?, $\ldots$	$[(210482836873018885623774272471980059/909931313784070, 93924573017263912936757153072735608880427138466679883/909931313784070)]$
424350.co1	424350co5	424350.co	424350co	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23 \cdot 41 \)	\( 2^{3} \cdot 3^{8} \cdot 5^{6} \cdot 23^{8} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.100	2B	$226320$	$192$	$1$	$7.057864936$	$1$		$2$	$81788928$	$3.396008$	$30558708894178043523937/9478135170529992$	$0.99978$	$5.24931$	$[1, -1, 1, -146550155, 682707115347]$	\(y^2+xy+y=x^3-x^2-146550155x+682707115347\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 60.12.0-4.c.1.1, 120.48.0.?, $\ldots$	$[(9245, 338826)]$

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