Elliptic curves over $\Q$ of conductor 143570

Results (26 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
143570.a1	143570k1	143570.a	143570k	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2^{11} \cdot 5 \cdot 7^{9} \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$82040$	$2$	$0$	$1$	$1$		$0$	$877184$	$1.384727$	$-324242703/3000320$	$0.81744$	$3.36372$	$[1, -1, 0, -4909, -544475]$	\(y^2+xy=x^3-x^2-4909x-544475\)	82040.2.0.?	$[]$
143570.b1	143570m1	143570.b	143570m	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{2} \cdot 5 \cdot 7^{9} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$1.088870950$	$1$		$4$	$170240$	$0.873964$	$11089567/5860$	$0.79499$	$2.84092$	$[1, 1, 0, -1593, 6553]$	\(y^2+xy=x^3+x^2-1593x+6553\)	41020.2.0.?	$[(-29, 186)]$
143570.c1	143570n1	143570.c	143570n	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2^{2} \cdot 5^{7} \cdot 7^{2} \cdot 293^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$5.518327295$	$1$		$2$	$319200$	$1.301771$	$-86561816567143561/26827812500$	$0.90955$	$3.61209$	$[1, 1, 0, -33723, -2398367]$	\(y^2+xy=x^3+x^2-33723x-2398367\)	20.2.0.a.1	$[(246, 1943)]$
143570.d1	143570l2	143570.d	143570l	$2$	$3$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{12} \cdot 5^{15} \cdot 7^{9} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$123060$	$16$	$0$	$0.473287865$	$1$		$6$	$16174080$	$3.332008$	$26744657491710624461689/12562375000000000000$	$0.97021$	$5.33207$	$[1, 1, 0, -30528152, -28187523776]$	\(y^2+xy=x^3+x^2-30528152x-28187523776\)	3.4.0.a.1, 21.8.0-3.a.1.2, 17580.8.0.?, 41020.2.0.?, 123060.16.0.?	$[(-1387, 107881)]$
143570.d2	143570l1	143570.d	143570l	$2$	$3$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{4} \cdot 5^{5} \cdot 7^{7} \cdot 293^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$123060$	$16$	$0$	$1.419863596$	$1$		$4$	$5391360$	$2.782700$	$15461341616731869233929/8803814950000$	$0.95314$	$5.28592$	$[1, 1, 0, -25431417, -49373847179]$	\(y^2+xy=x^3+x^2-25431417x-49373847179\)	3.4.0.a.1, 21.8.0-3.a.1.1, 17580.8.0.?, 41020.2.0.?, 123060.16.0.?	$[(-2913, 1579)]$
143570.e1	143570p2	143570.e	143570p	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2 \cdot 5^{2} \cdot 7^{9} \cdot 293^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$82040$	$12$	$0$	$1$	$1$		$0$	$663552$	$1.716330$	$5552849431422441/1472310350$	$0.89452$	$4.03623$	$[1, -1, 0, -180770, 29621150]$	\(y^2+xy=x^3-x^2-180770x+29621150\)	2.3.0.a.1, 56.6.0.a.1, 5860.6.0.?, 82040.12.0.?	$[]$
143570.e2	143570p1	143570.e	143570p	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{2} \cdot 5 \cdot 7^{12} \cdot 293 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$82040$	$12$	$0$	$1$	$1$		$1$	$331776$	$1.369755$	$1925599082121/689423140$	$0.87306$	$3.36532$	$[1, -1, 0, -12700, 343356]$	\(y^2+xy=x^3-x^2-12700x+343356\)	2.3.0.a.1, 56.6.0.d.1, 2930.6.0.?, 82040.12.0.?	$[]$
143570.f1	143570o1	143570.f	143570o	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{8} \cdot 5 \cdot 7^{6} \cdot 293 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$82040$	$48$	$0$	$1$	$1$		$1$	$110592$	$0.757009$	$1767172329/375040$	$0.85278$	$2.77636$	$[1, -1, 0, -1234, -12972]$	\(y^2+xy=x^3-x^2-1234x-12972\)	2.3.0.a.1, 4.6.0.b.1, 56.12.0-4.b.1.2, 2930.6.0.?, 5860.24.0.?, $\ldots$	$[]$
143570.f2	143570o2	143570.f	143570o	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 293^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$82040$	$48$	$0$	$1$	$1$		$0$	$221184$	$1.103582$	$18212205591/34339600$	$0.86800$	$3.04140$	$[1, -1, 0, 2686, -81180]$	\(y^2+xy=x^3-x^2+2686x-81180\)	2.3.0.a.1, 4.6.0.a.1, 56.12.0-4.a.1.1, 5860.12.0.?, 11720.24.0.?, $\ldots$	$[]$
143570.g1	143570q1	143570.g	143570q	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{2} \cdot 5 \cdot 7^{3} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$0.542976433$	$1$		$4$	$24320$	$-0.098991$	$11089567/5860$	$0.79499$	$1.85769$	$[1, 0, 1, -33, -24]$	\(y^2+xy+y=x^3-33x-24\)	41020.2.0.?	$[(-3, 8)]$
143570.h1	143570r1	143570.h	143570r	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2^{2} \cdot 5^{7} \cdot 7^{8} \cdot 293^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$0.424309888$	$1$		$14$	$2234400$	$2.274727$	$-86561816567143561/26827812500$	$0.90955$	$4.59532$	$[1, 0, 1, -1652453, 817682548]$	\(y^2+xy+y=x^3-1652453x+817682548\)	20.2.0.a.1	$[(5149, 356350), (739, 120)]$
143570.i1	143570s1	143570.i	143570s	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2^{11} \cdot 5 \cdot 7^{3} \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$82040$	$2$	$0$	$1$	$1$		$0$	$125312$	$0.411772$	$-324242703/3000320$	$0.81744$	$2.38049$	$[1, -1, 0, -100, 1616]$	\(y^2+xy=x^3-x^2-100x+1616\)	82040.2.0.?	$[]$
143570.j1	143570t1	143570.j	143570t	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2^{8} \cdot 5^{4} \cdot 7^{6} \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1172$	$2$	$0$	$1$	$1$		$0$	$628992$	$1.125067$	$1902014919/46880000$	$0.89596$	$3.09649$	$[1, -1, 0, 1265, 111341]$	\(y^2+xy=x^3-x^2+1265x+111341\)	1172.2.0.?	$[]$
143570.k1	143570b1	143570.k	143570b	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{10} \cdot 5 \cdot 7^{7} \cdot 293 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$0.285377123$	$1$		$22$	$760320$	$1.278427$	$23494409378721/10501120$	$0.85144$	$3.57598$	$[1, -1, 1, -29238, 1930821]$	\(y^2+xy+y=x^3-x^2-29238x+1930821\)	41020.2.0.?	$[(93, 51), (191, 1717)]$
143570.l1	143570a1	143570.l	143570a	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{8} \cdot 5^{7} \cdot 7^{3} \cdot 293 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$0.199973007$	$1$		$26$	$566272$	$1.094187$	$53254985123367/5860000000$	$0.88767$	$3.15328$	$[1, -1, 1, -5487, -139401]$	\(y^2+xy+y=x^3-x^2-5487x-139401\)	41020.2.0.?	$[(107, 646), (-33, 86)]$
143570.m1	143570c2	143570.m	143570c	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{7} \cdot 5^{2} \cdot 7^{3} \cdot 293^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$82040$	$12$	$0$	$1.077836771$	$1$		$6$	$150528$	$0.928655$	$30673115055127/274716800$	$0.86442$	$3.10682$	$[1, 0, 0, -4565, -118175]$	\(y^2+xy=x^3-4565x-118175\)	2.3.0.a.1, 56.6.0.a.1, 11720.6.0.?, 41020.6.0.?, 82040.12.0.?	$[(-38, -9)]$
143570.m2	143570c1	143570.m	143570c	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2^{14} \cdot 5 \cdot 7^{3} \cdot 293 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$82040$	$12$	$0$	$2.155673543$	$1$		$5$	$75264$	$0.582081$	$-198155287/24002560$	$0.85354$	$2.55090$	$[1, 0, 0, -85, -4383]$	\(y^2+xy=x^3-85x-4383\)	2.3.0.a.1, 56.6.0.d.1, 11720.6.0.?, 20510.6.0.?, 82040.12.0.?	$[(32, 145)]$
143570.n1	143570d1	143570.n	143570d	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2 \cdot 5^{3} \cdot 7^{7} \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$82040$	$2$	$0$	$1$	$1$		$0$	$110592$	$0.754270$	$371694959/512750$	$0.74553$	$2.67242$	$[1, 1, 1, 734, 9309]$	\(y^2+xy+y=x^3+x^2+734x+9309\)	82040.2.0.?	$[]$
143570.o1	143570e1	143570.o	143570e	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{8} \cdot 5 \cdot 7^{11} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$0.547229625$	$1$		$4$	$706560$	$1.569050$	$31080575499121/6303297280$	$0.84650$	$3.59954$	$[1, 1, 1, -32096, 1770369]$	\(y^2+xy+y=x^3+x^2-32096x+1770369\)	41020.2.0.?	$[(223, 2289)]$
143570.p1	143570f1	143570.p	143570f	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2^{5} \cdot 5^{7} \cdot 7^{3} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$82040$	$2$	$0$	$4.980672713$	$1$		$2$	$255360$	$1.188972$	$-3885220219748743/732500000$	$0.89813$	$3.51457$	$[1, 1, 1, -22926, -1345877]$	\(y^2+xy+y=x^3+x^2-22926x-1345877\)	82040.2.0.?	$[(797, 21679)]$
143570.q1	143570g1	143570.q	143570g	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2^{5} \cdot 5^{7} \cdot 7^{9} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$82040$	$2$	$0$	$0.574258223$	$1$		$4$	$1787520$	$2.161926$	$-3885220219748743/732500000$	$0.89813$	$4.49780$	$[1, 0, 0, -1123375, 458265625]$	\(y^2+xy=x^3-1123375x+458265625\)	82040.2.0.?	$[(690, 3085)]$
143570.r1	143570h2	143570.r	143570h	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{7} \cdot 5^{2} \cdot 7^{9} \cdot 293^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$82040$	$12$	$0$	$2.578041066$	$1$		$2$	$1053696$	$1.901609$	$30673115055127/274716800$	$0.86442$	$4.09005$	$[1, 1, 1, -223686, 40310339]$	\(y^2+xy+y=x^3+x^2-223686x+40310339\)	2.3.0.a.1, 56.6.0.a.1, 11720.6.0.?, 41020.6.0.?, 82040.12.0.?	$[(-519, 4375)]$
143570.r2	143570h1	143570.r	143570h	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2^{14} \cdot 5 \cdot 7^{9} \cdot 293 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$82040$	$12$	$0$	$5.156082132$	$1$		$3$	$526848$	$1.555037$	$-198155287/24002560$	$0.85354$	$3.53413$	$[1, 1, 1, -4166, 1499203]$	\(y^2+xy+y=x^3+x^2-4166x+1499203\)	2.3.0.a.1, 56.6.0.d.1, 11720.6.0.?, 20510.6.0.?, 82040.12.0.?	$[(6047, 467229)]$
143570.s1	143570i1	143570.s	143570i	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{8} \cdot 5^{7} \cdot 7^{9} \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$1$	$1$		$0$	$3963904$	$2.067142$	$53254985123367/5860000000$	$0.88767$	$4.13651$	$[1, -1, 1, -268848, 48352147]$	\(y^2+xy+y=x^3-x^2-268848x+48352147\)	41020.2.0.?	$[]$
143570.t1	143570j2	143570.t	143570j	$2$	$7$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2 \cdot 5 \cdot 7^{7} \cdot 293^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.2	7B.1.4	$82040$	$96$	$2$	$1$	$9$	$3$	$0$	$132765696$	$3.577728$	$-18864891308791949569351281/12976912684820654990$	$0.99586$	$5.88450$	$[1, -1, 1, -271752123, 1725371401177]$	\(y^2+xy+y=x^3-x^2-271752123x+1725371401177\)	7.48.0-7.a.2.1, 82040.96.2.?	$[]$
143570.t2	143570j1	143570.t	143570j	$2$	$7$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( - 2^{7} \cdot 5^{7} \cdot 7^{13} \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.4	7B.1.6	$82040$	$96$	$2$	$1$	$9$	$3$	$0$	$18966528$	$2.604774$	$97487796040631919/2412980990000000$	$0.96304$	$4.59184$	$[1, -1, 1, 469827, -801227003]$	\(y^2+xy+y=x^3-x^2+469827x-801227003\)	7.48.0-7.a.1.1, 82040.96.2.?	$[]$