Elliptic curves over $\Q$ of conductor 63175

Results (34 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
63175.a1	63175z1	63175.a	63175z	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{9} \cdot 7^{3} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$10713600$	$2.834023$	$43022168064/44700103$	$0.95064$	$5.12378$	$[0, 0, 1, 3294125, 2052341406]$	\(y^2+y=x^3+3294125x+2052341406\)	70.2.0.a.1	$[]$
63175.b1	63175c1	63175.b	63175c	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{9} \cdot 7^{4} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.460792275$	$1$		$6$	$3151872$	$2.508797$	$533794816/300125$	$1.10061$	$4.82262$	$[0, 1, 1, -1086008, 73094394]$	\(y^2+y=x^3+x^2-1086008x+73094394\)	10.2.0.a.1	$[(-602, 22562)]$
63175.c1	63175l2	63175.c	63175l	$2$	$5$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{7} \cdot 7 \cdot 19^{16} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$1330$	$48$	$1$	$1$	$1$		$0$	$25920000$	$3.734856$	$-511416541770305536/214587319023035$	$0.98594$	$6.21011$	$[0, -1, 1, -150359508, 932115477918]$	\(y^2+y=x^3-x^2-150359508x+932115477918\)	5.12.0.a.2, 70.24.1.d.2, 95.24.0.?, 1330.48.1.?	$[]$
63175.c2	63175l1	63175.c	63175l	$2$	$5$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{11} \cdot 7^{5} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$1330$	$48$	$1$	$1$	$1$		$0$	$5184000$	$2.930138$	$-1029077364736/18960396875$	$0.95599$	$5.29006$	$[0, -1, 1, -1898258, -5767937082]$	\(y^2+y=x^3-x^2-1898258x-5767937082\)	5.12.0.a.1, 70.24.1.d.1, 95.24.0.?, 1330.48.1.?	$[]$
63175.d1	63175r2	63175.d	63175r	$2$	$5$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{9} \cdot 7^{5} \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$1330$	$48$	$1$	$7.041132945$	$1$		$0$	$1440000$	$2.331131$	$-2887553024/16807$	$0.98803$	$4.88031$	$[0, -1, 1, -1338708, -598723932]$	\(y^2+y=x^3-x^2-1338708x-598723932\)	5.12.0.a.1, 70.24.1.d.1, 95.24.0.?, 1330.48.1.?	$[(161857/11, 2007397/11)]$
63175.d2	63175r1	63175.d	63175r	$2$	$5$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{9} \cdot 7 \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$1330$	$48$	$1$	$1.408226589$	$1$		$4$	$288000$	$1.526413$	$4096/7$	$0.98030$	$3.72173$	$[0, -1, 1, 15042, 987318]$	\(y^2+y=x^3-x^2+15042x+987318\)	5.12.0.a.2, 70.24.1.d.2, 95.24.0.?, 1330.48.1.?	$[(792, 22562)]$
63175.e1	63175k1	63175.e	63175k	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{11} \cdot 7^{2} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$6566400$	$3.184521$	$196145197056/153125$	$1.05077$	$5.88973$	$[0, 0, 1, -55386425, -158547714094]$	\(y^2+y=x^3-55386425x-158547714094\)	10.2.0.a.1	$[]$
63175.f1	63175m1	63175.f	63175m	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{7} \cdot 7 \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$2004480$	$2.086529$	$-100934332416/12635$	$0.88707$	$4.76414$	$[0, 0, 1, -875425, 315299656]$	\(y^2+y=x^3-875425x+315299656\)	70.2.0.a.1	$[]$
63175.g1	63175h1	63175.g	63175h	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{10} \cdot 7 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$266$	$2$	$0$	$1$	$1$		$0$	$432000$	$1.923054$	$390625/133$	$0.90130$	$4.21910$	$[1, 1, 1, -117513, -9997094]$	\(y^2+xy+y=x^3+x^2-117513x-9997094\)	266.2.0.?	$[]$
63175.h1	63175i1	63175.h	63175i	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{9} \cdot 7^{5} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$1036800$	$2.421154$	$28962726911/39916625$	$0.87484$	$4.68042$	$[1, 1, 1, 577412, -198258594]$	\(y^2+xy+y=x^3+x^2+577412x-198258594\)	2660.2.0.?	$[]$
63175.i1	63175w1	63175.i	63175w	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{8} \cdot 7^{5} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$1$	$1$		$0$	$1080000$	$2.285908$	$-66560265/319333$	$0.92163$	$4.59438$	$[1, -1, 1, -222805, 123437322]$	\(y^2+xy+y=x^3-x^2-222805x+123437322\)	532.2.0.?	$[]$
63175.j1	63175a1	63175.j	63175a	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{10} \cdot 7 \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$10.81895888$	$1$		$0$	$2072520$	$2.157112$	$12825/7$	$0.74333$	$4.44278$	$[1, -1, 1, -267930, -12659678]$	\(y^2+xy+y=x^3-x^2-267930x-12659678\)	28.2.0.a.1	$[(-1518908/63, 1499681170/63)]$
63175.k1	63175x1	63175.k	63175x	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{4} \cdot 7 \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$21816$	$-0.119825$	$12825/7$	$0.74333$	$1.97091$	$[1, -1, 1, -30, 22]$	\(y^2+xy+y=x^3-x^2-30x+22\)	28.2.0.a.1	$[]$
63175.l1	63175o1	63175.l	63175o	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{9} \cdot 7^{2} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$984960$	$2.238205$	$622592/49$	$0.76490$	$4.64842$	$[0, 1, 1, -571583, -154795881]$	\(y^2+y=x^3+x^2-571583x-154795881\)	10.2.0.a.1	$[]$
63175.m1	63175u1	63175.m	63175u	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{3} \cdot 7^{2} \cdot 19^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.546878729$	$1$		$10$	$10368$	$-0.038733$	$622592/49$	$0.76490$	$2.17655$	$[0, 1, 1, -63, 159]$	\(y^2+y=x^3+x^2-63x+159\)	10.2.0.a.1	$[(-7, 17), (3, 2)]$
63175.n1	63175d3	63175.n	63175d	$3$	$9$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{15} \cdot 7 \cdot 19^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$11970$	$144$	$3$	$1$	$1$		$0$	$1026432$	$2.404400$	$-250523582464/13671875$	$1.02112$	$4.85452$	$[0, 1, 1, -1185283, 519182094]$	\(y^2+y=x^3+x^2-1185283x+519182094\)	3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.2, 70.2.0.a.1, 210.8.0.?, $\ldots$	$[]$
63175.n2	63175d1	63175.n	63175d	$3$	$9$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{7} \cdot 7 \cdot 19^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$11970$	$144$	$3$	$1$	$1$		$0$	$114048$	$1.305788$	$-262144/35$	$0.88715$	$3.61939$	$[0, 1, 1, -12033, -567656]$	\(y^2+y=x^3+x^2-12033x-567656\)	3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.1, 70.2.0.a.1, 210.8.0.?, $\ldots$	$[]$
63175.n3	63175d2	63175.n	63175d	$3$	$9$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{9} \cdot 7^{3} \cdot 19^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$11970$	$144$	$3$	$1$	$1$		$0$	$342144$	$1.855095$	$71991296/42875$	$1.06493$	$4.10862$	$[0, 1, 1, 78217, 1462969]$	\(y^2+y=x^3+x^2+78217x+1462969\)	3.12.0.a.1, 63.36.0.b.1, 70.2.0.a.1, 210.24.1.?, 285.24.0.?, $\ldots$	$[]$
63175.o1	63175p1	63175.o	63175p	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{9} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1.399186471$	$1$		$2$	$51840$	$0.765985$	$622592/49$	$0.76490$	$3.05016$	$[0, -1, 1, -1583, 23068]$	\(y^2+y=x^3-x^2-1583x+23068\)	10.2.0.a.1	$[(-8, 187)]$
63175.p1	63175s1	63175.p	63175s	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{3} \cdot 7^{2} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$4.593797708$	$1$		$2$	$196992$	$1.433487$	$622592/49$	$0.76490$	$3.77481$	$[0, -1, 1, -22863, -1229222]$	\(y^2+y=x^3-x^2-22863x-1229222\)	10.2.0.a.1	$[(176, 409)]$
63175.q1	63175g1	63175.q	63175g	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{10} \cdot 7 \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$109080$	$0.684895$	$12825/7$	$0.74333$	$2.84452$	$[1, -1, 0, -742, 2041]$	\(y^2+xy=x^3-x^2-742x+2041\)	28.2.0.a.1	$[]$
63175.r1	63175t1	63175.r	63175t	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{4} \cdot 7 \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$0.960781654$	$1$		$2$	$414504$	$1.352394$	$12825/7$	$0.74333$	$3.56917$	$[1, -1, 0, -10717, -99134]$	\(y^2+xy=x^3-x^2-10717x-99134\)	28.2.0.a.1	$[(-90, 406)]$
63175.s1	63175f1	63175.s	63175f	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{7} \cdot 7 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$207360$	$1.528490$	$-1771561/665$	$0.82100$	$3.81870$	$[1, 1, 0, -22750, -1705375]$	\(y^2+xy=x^3+x^2-22750x-1705375\)	2660.2.0.?	$[]$
63175.t1	63175e1	63175.t	63175e	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{2} \cdot 7^{5} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$1$	$1$		$0$	$216000$	$1.481190$	$-66560265/319333$	$0.92163$	$3.72077$	$[1, -1, 0, -8912, 989281]$	\(y^2+xy=x^3-x^2-8912x+989281\)	532.2.0.?	$[]$
63175.u1	63175n4	63175.u	63175n	$4$	$4$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{7} \cdot 7 \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5320$	$48$	$0$	$20.46472852$	$1$		$0$	$1105920$	$2.396778$	$809818183161/4561235$	$0.90210$	$4.95251$	$[1, -1, 0, -1752542, -888204259]$	\(y^2+xy=x^3-x^2-1752542x-888204259\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0-4.c.1.3, 140.12.0.?, $\ldots$	$[(2574994871/1298, 1116781943371/1298)]$
63175.u2	63175n2	63175.u	63175n	$4$	$4$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{8} \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2660$	$48$	$0$	$10.23236426$	$1$		$2$	$552960$	$2.050205$	$781229961/442225$	$1.01952$	$4.32433$	$[1, -1, 0, -173167, 4142616]$	\(y^2+xy=x^3-x^2-173167x+4142616\)	2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.2, 76.12.0.?, 140.24.0.?, $\ldots$	$[(118504/11, 36358928/11)]$
63175.u3	63175n1	63175.u	63175n	$4$	$4$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{7} \cdot 7 \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5320$	$48$	$0$	$5.116182130$	$1$		$1$	$276480$	$1.703630$	$315821241/665$	$0.90381$	$4.24239$	$[1, -1, 0, -128042, 17634991]$	\(y^2+xy=x^3-x^2-128042x+17634991\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.3, 152.12.0.?, $\ldots$	$[(-2067/4, 366217/4)]$
63175.u4	63175n3	63175.u	63175n	$4$	$4$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{10} \cdot 7^{4} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5320$	$48$	$0$	$5.116182130$	$1$		$2$	$1105920$	$2.396778$	$48188806119/28511875$	$0.94791$	$4.69723$	$[1, -1, 0, 684208, 32435991]$	\(y^2+xy=x^3-x^2+684208x+32435991\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 38.6.0.b.1, 56.12.0-4.c.1.3, $\ldots$	$[(3734, 231883)]$
63175.v1	63175v1	63175.v	63175v	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{4} \cdot 7 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$266$	$2$	$0$	$1$	$1$		$0$	$86400$	$1.118336$	$390625/133$	$0.90130$	$3.34549$	$[1, 0, 1, -4701, -79977]$	\(y^2+xy+y=x^3-4701x-79977\)	266.2.0.?	$[]$
63175.w1	63175b1	63175.w	63175b	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{11} \cdot 7^{2} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.903230158$	$1$		$0$	$345600$	$1.712299$	$196145197056/153125$	$1.05077$	$4.29147$	$[0, 0, 1, -153425, 23115281]$	\(y^2+y=x^3-153425x+23115281\)	10.2.0.a.1	$[(665/2, 11871/2)]$
63175.x1	63175y2	63175.x	63175y	$2$	$5$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{3} \cdot 7^{5} \cdot 19^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$1330$	$48$	$1$	$1$	$1$		$0$	$288000$	$1.526413$	$-2887553024/16807$	$0.98803$	$4.00669$	$[0, 1, 1, -53548, -4811211]$	\(y^2+y=x^3+x^2-53548x-4811211\)	5.12.0.a.1, 70.24.1.d.1, 95.24.0.?, 1330.48.1.?	$[]$
63175.x2	63175y1	63175.x	63175y	$2$	$5$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{3} \cdot 7 \cdot 19^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$1330$	$48$	$1$	$1$	$1$		$0$	$57600$	$0.721693$	$4096/7$	$0.98030$	$2.84812$	$[0, 1, 1, 602, 8139]$	\(y^2+y=x^3+x^2+602x+8139\)	5.12.0.a.2, 70.24.1.d.2, 95.24.0.?, 1330.48.1.?	$[]$
63175.y1	63175j1	63175.y	63175j	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( 5^{9} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$165888$	$1.036575$	$533794816/300125$	$1.10061$	$3.22436$	$[0, -1, 1, -3008, -9707]$	\(y^2+y=x^3-x^2-3008x-9707\)	10.2.0.a.1	$[]$
63175.z1	63175q1	63175.z	63175q	$1$	$1$	\( 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 5^{3} \cdot 7^{3} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$27.30331858$	$1$		$0$	$2142720$	$2.029305$	$43022168064/44700103$	$0.95064$	$4.25017$	$[0, 0, 1, 131765, 16418731]$	\(y^2+y=x^3+131765x+16418731\)	70.2.0.a.1	$[(17863553488585/211164, 108788905496624143643/211164)]$