Elliptic curve search results

Results (12 matches)

 

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
13923.e1	13923b1	13923.e	13923b	$2$	$2$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{9} \cdot 7^{3} \cdot 13^{3} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$4$	$2$	$1$	$138240$	$1.909349$	$420100556152674123/62939003491$	$1.01013$	$5.28930$	$[1, -1, 1, -421283, -105127766]$	\(y^2+xy+y=x^3-x^2-421283x-105127766\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[]$
13923.f1	13923a1	13923.f	13923a	$2$	$2$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{3} \cdot 7^{3} \cdot 13^{3} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$4.063689904$	$1$		$3$	$46080$	$1.360044$	$420100556152674123/62939003491$	$1.01013$	$4.59844$	$[1, -1, 0, -46809, 3909224]$	\(y^2+xy=x^3-x^2-46809x+3909224\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[(140, 222)]$
97461.j1	97461b1	97461.j	97461b	$2$	$2$	\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{9} \cdot 7^{9} \cdot 13^{3} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$2.775641912$	$1$		$7$	$6635520$	$2.882305$	$420100556152674123/62939003491$	$1.01013$	$5.40969$	$[1, -1, 1, -20642852, 36100109350]$	\(y^2+xy+y=x^3-x^2-20642852x+36100109350\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[(2648, -1006)]$
97461.x1	97461c1	97461.x	97461c	$2$	$2$	\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{3} \cdot 7^{9} \cdot 13^{3} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$4$	$2$	$1$	$2211840$	$2.333000$	$420100556152674123/62939003491$	$1.01013$	$4.83586$	$[1, -1, 0, -2293650, -1336276537]$	\(y^2+xy=x^3-x^2-2293650x-1336276537\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[]$
180999.j1	180999j1	180999.j	180999j	$2$	$2$	\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 3^{3} \cdot 7^{3} \cdot 13^{9} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$7741440$	$2.642517$	$420100556152674123/62939003491$	$1.01013$	$4.89539$	$[1, -1, 1, -7910753, 8564832904]$	\(y^2+xy+y=x^3-x^2-7910753x+8564832904\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[]$
180999.q1	180999s1	180999.q	180999s	$2$	$2$	\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 3^{9} \cdot 7^{3} \cdot 13^{9} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$4.645198384$	$1$		$3$	$23224320$	$3.191826$	$420100556152674123/62939003491$	$1.01013$	$5.43988$	$[1, -1, 0, -71196774, -231179291641]$	\(y^2+xy=x^3-x^2-71196774x-231179291641\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[(11698, 726715)]$
222768.h1	222768co1	222768.h	222768co	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{3} \cdot 7^{3} \cdot 13^{3} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$2.923236566$	$1$		$5$	$2949120$	$2.053192$	$420100556152674123/62939003491$	$1.01013$	$4.23854$	$[0, 0, 0, -748947, -249441390]$	\(y^2=x^3-748947x-249441390\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[(-498, 168)]$
222768.gd1	222768dn1	222768.gd	222768dn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{9} \cdot 7^{3} \cdot 13^{3} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$8847360$	$2.602497$	$420100556152674123/62939003491$	$1.01013$	$4.77384$	$[0, 0, 0, -6740523, 6734917530]$	\(y^2=x^3-6740523x+6734917530\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[]$
236691.h1	236691h1	236691.h	236691h	$2$	$2$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 3^{9} \cdot 7^{3} \cdot 13^{3} \cdot 17^{10} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$25.39900441$	$1$		$5$	$39813120$	$3.325958$	$420100556152674123/62939003491$	$1.01013$	$5.45202$	$[1, -1, 1, -121750697, -516979715840]$	\(y^2+xy+y=x^3-x^2-121750697x-516979715840\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[(-6379, -4903), (-777928/11, 3368600/11)]$
236691.w1	236691w1	236691.w	236691w	$2$	$2$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 3^{3} \cdot 7^{3} \cdot 13^{3} \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$4$	$2$	$1$	$13271040$	$2.776649$	$420100556152674123/62939003491$	$1.01013$	$4.91934$	$[1, -1, 0, -13527855, 19151906168]$	\(y^2+xy=x^3-x^2-13527855x+19151906168\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[]$
348075.w1	348075w1	348075.w	348075w	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 13^{3} \cdot 17^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$0.782359585$	$1$		$23$	$3686400$	$2.164764$	$420100556152674123/62939003491$	$1.01013$	$4.19522$	$[1, -1, 1, -1170230, 487482772]$	\(y^2+xy+y=x^3-x^2-1170230x+487482772\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[(544, 3140), (670, 1628)]$
348075.cw1	348075cw1	348075.cw	348075cw	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{9} \cdot 5^{6} \cdot 7^{3} \cdot 13^{3} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$5.657231457$	$1$		$3$	$11059200$	$2.714069$	$420100556152674123/62939003491$	$1.01013$	$4.71180$	$[1, -1, 0, -10532067, -13151502784]$	\(y^2+xy=x^3-x^2-10532067x-13151502784\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[(3920, 74116)]$