LMFDB - Elliptic curves over $\Q$ of conductor 14798

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

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Results (20 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	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
14798.a1	14798h2	14798.a	14798h	$2$	$2$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2^{3} \cdot 7^{6} \cdot 151^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$1208$	$12$	$0$	$1.134126135$	$1$		$6$	$15552$	$0.763236$	$6826561273/182408$	$0.88262$	$3.57412$	$[1, 0, 1, -1937, -32196]$	$y^2+xy+y=x^3-1937x-32196$	2.3.0.a.1, 8.6.0.b.1, 604.6.0.?, 1208.12.0.?	$[(-24, 36)]$
14798.a2	14798h1	14798.a	14798h	$2$	$2$	$ 2 \cdot 7^{2} \cdot 151 $	$ - 2^{6} \cdot 7^{6} \cdot 151 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$1208$	$12$	$0$	$2.268252271$	$1$		$5$	$7776$	$0.416662$	$12167/9664$	$0.91080$	$2.94781$	$[1, 0, 1, 23, -1620]$	$y^2+xy+y=x^3+23x-1620$	2.3.0.a.1, 8.6.0.c.1, 302.6.0.?, 1208.12.0.?	$[(19, 66)]$
14798.b1	14798f2	14798.b	14798f	$2$	$2$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2^{7} \cdot 7^{20} \cdot 151 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$8456$	$12$	$0$	$1$	$4$	$2$	$0$	$752640$	$2.783630$	$70160105263169265625/13108695552025472$	$1.08578$	$5.97493$	$[1, 0, 1, -4210351, -2736659166]$	$y^2+xy+y=x^3-4210351x-2736659166$	2.3.0.a.1, 28.6.0.c.1, 1208.6.0.?, 8456.12.0.?	$[]$
14798.b2	14798f1	14798.b	14798f	$2$	$2$	$ 2 \cdot 7^{2} \cdot 151 $	$ - 2^{14} \cdot 7^{13} \cdot 151^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$8456$	$12$	$0$	$1$	$1$		$1$	$376320$	$2.437057$	$136030691678222375/307652263002112$	$0.96797$	$5.43567$	$[1, 0, 1, 525009, -249648094]$	$y^2+xy+y=x^3+525009x-249648094$	2.3.0.a.1, 14.6.0.b.1, 1208.6.0.?, 8456.12.0.?	$[]$
14798.c1	14798b2	14798.c	14798b	$2$	$3$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2^{33} \cdot 7^{4} \cdot 151 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.2	3B.1.2	$3624$	$16$	$0$	$1$	$1$		$0$	$125928$	$1.833647$	$356138211381003625/1297080123392$	$0.98252$	$5.01942$	$[1, 0, 1, -197741, -33754584]$	$y^2+xy+y=x^3-197741x-33754584$	3.8.0-3.a.1.1, 1208.2.0.?, 3624.16.0.?	$[]$
14798.c2	14798b1	14798.c	14798b	$2$	$3$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2^{11} \cdot 7^{4} \cdot 151^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.1	3B.1.1	$3624$	$16$	$0$	$1$	$1$		$2$	$41976$	$1.284342$	$95818014693625/7051163648$	$0.94085$	$4.16331$	$[1, 0, 1, -12766, 517584]$	$y^2+xy+y=x^3-12766x+517584$	3.8.0-3.a.1.2, 1208.2.0.?, 3624.16.0.?	$[]$
14798.d1	14798a1	14798.d	14798a	$1$	$1$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2^{7} \cdot 7^{8} \cdot 151 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1208$	$2$	$0$	$0.953066391$	$1$		$4$	$12936$	$0.811840$	$37515625/19328$	$0.97000$	$3.43748$	$[1, 0, 1, -1251, 5534]$	$y^2+xy+y=x^3-1251x+5534$	1208.2.0.?	$[(4, 22)]$
14798.e1	14798e2	14798.e	14798e	$2$	$2$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2 \cdot 7^{8} \cdot 151 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$8456$	$12$	$0$	$1$	$4$	$2$	$0$	$52224$	$1.275457$	$461979552147625/14798$	$0.91524$	$4.73243$	$[1, 0, 1, -78916, -8539380]$	$y^2+xy+y=x^3-78916x-8539380$	2.3.0.a.1, 28.6.0.c.1, 1208.6.0.?, 8456.12.0.?	$[]$
14798.e2	14798e1	14798.e	14798e	$2$	$2$	$ 2 \cdot 7^{2} \cdot 151 $	$ - 2^{2} \cdot 7^{7} \cdot 151^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$8456$	$12$	$0$	$1$	$1$		$1$	$26112$	$0.928884$	$-112329015625/638428$	$0.89773$	$3.86680$	$[1, 0, 1, -4926, -134116]$	$y^2+xy+y=x^3-4926x-134116$	2.3.0.a.1, 14.6.0.b.1, 1208.6.0.?, 8456.12.0.?	$[]$
14798.f1	14798c1	14798.f	14798c	$1$	$1$	$ 2 \cdot 7^{2} \cdot 151 $	$ - 2^{9} \cdot 7^{10} \cdot 151 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1208$	$2$	$0$	$1$	$1$		$0$	$27648$	$1.245790$	$-55611739513/185626112$	$0.87882$	$3.99170$	$[1, 0, 1, -3897, -243876]$	$y^2+xy+y=x^3-3897x-243876$	1208.2.0.?	$[]$
14798.g1	14798d1	14798.g	14798d	$1$	$1$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2^{7} \cdot 7^{2} \cdot 151 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1208$	$2$	$0$	$1$	$1$		$0$	$1848$	$-0.161115$	$37515625/19328$	$0.97000$	$2.22157$	$[1, 1, 0, -25, -27]$	$y^2+xy=x^3+x^2-25x-27$	1208.2.0.?	$[]$
14798.h1	14798g2	14798.h	14798g	$2$	$3$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2^{33} \cdot 7^{10} \cdot 151 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$25368$	$16$	$0$	$30.75431035$	$1$		$0$	$881496$	$2.806602$	$356138211381003625/1297080123392$	$0.98252$	$6.23533$	$[1, 1, 0, -9689285, 11568132941]$	$y^2+xy=x^3+x^2-9689285x+11568132941$	3.4.0.a.1, 21.8.0-3.a.1.2, 1208.2.0.?, 3624.8.0.?, 25368.16.0.?	$[(-14732954620643/65676, 20167489179063193421/65676)]$
14798.h2	14798g1	14798.h	14798g	$2$	$3$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2^{11} \cdot 7^{10} \cdot 151^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$25368$	$16$	$0$	$10.25143678$	$1$		$0$	$293832$	$2.257298$	$95818014693625/7051163648$	$0.94085$	$5.37922$	$[1, 1, 0, -625510, -178156908]$	$y^2+xy=x^3+x^2-625510x-178156908$	3.4.0.a.1, 21.8.0-3.a.1.1, 1208.2.0.?, 3624.8.0.?, 25368.16.0.?	$[(-833231/39, 57397241/39)]$
14798.i1	14798j1	14798.i	14798j	$1$	$1$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2^{3} \cdot 7^{10} \cdot 151 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1208$	$2$	$0$	$2.919076797$	$1$		$2$	$23688$	$1.076359$	$352263793/1208$	$0.82499$	$4.07602$	$[1, 0, 0, -9654, -364820]$	$y^2+xy=x^3-9654x-364820$	1208.2.0.?	$[(-58, 0)]$
14798.j1	14798k2	14798.j	14798k	$2$	$2$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2^{13} \cdot 7^{12} \cdot 151^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$8456$	$12$	$0$	$1$	$1$		$0$	$209664$	$2.415806$	$9923751965337008625/21975161643008$	$0.99108$	$5.77125$	$[1, -1, 1, -2193715, -1247656301]$	$y^2+xy+y=x^3-x^2-2193715x-1247656301$	2.3.0.a.1, 8.6.0.b.1, 4228.6.0.?, 8456.12.0.?	$[]$
14798.j2	14798k1	14798.j	14798k	$2$	$2$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2^{26} \cdot 7^{9} \cdot 151 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$8456$	$12$	$0$	$1$	$1$		$1$	$104832$	$2.069233$	$6114933958064625/3475769393152$	$1.04804$	$5.00143$	$[1, -1, 1, -186675, -4094317]$	$y^2+xy+y=x^3-x^2-186675x-4094317$	2.3.0.a.1, 8.6.0.c.1, 2114.6.0.?, 8456.12.0.?	$[]$
14798.k1	14798l1	14798.k	14798l	$2$	$5$	$ 2 \cdot 7^{2} \cdot 151 $	$ - 2^{15} \cdot 7^{6} \cdot 151 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.1	5B.4.1	$42280$	$48$	$1$	$1$	$1$		$0$	$43200$	$1.118061$	$-1345938541921/4947968$	$0.98098$	$4.12507$	$[1, 0, 0, -11271, -462967]$	$y^2+xy=x^3-11271x-462967$	5.12.0.a.1, 35.24.0-5.a.1.2, 1208.2.0.?, 6040.24.1.?, 42280.48.1.?	$[]$
14798.k2	14798l2	14798.k	14798l	$2$	$5$	$ 2 \cdot 7^{2} \cdot 151 $	$ - 2^{3} \cdot 7^{6} \cdot 151^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.2	5B.4.2	$42280$	$48$	$1$	$1$	$1$		$0$	$216000$	$1.922781$	$496774270317599/628021806008$	$0.98654$	$4.75763$	$[1, 0, 0, 80849, 9636913]$	$y^2+xy=x^3+80849x+9636913$	5.12.0.a.2, 35.24.0-5.a.2.2, 1208.2.0.?, 6040.24.1.?, 42280.48.1.?	$[]$
14798.l1	14798i1	14798.l	14798i	$1$	$1$	$ 2 \cdot 7^{2} \cdot 151 $	$ 2^{3} \cdot 7^{4} \cdot 151 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1208$	$2$	$0$	$1$	$1$		$0$	$3384$	$0.103404$	$352263793/1208$	$0.82499$	$2.86011$	$[1, 1, 1, -197, 979]$	$y^2+xy+y=x^3+x^2-197x+979$	1208.2.0.?	$[]$
14798.m1	14798m1	14798.m	14798m	$1$	$1$	$ 2 \cdot 7^{2} \cdot 151 $	$ - 2^{5} \cdot 7^{6} \cdot 151 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1208$	$2$	$0$	$1$	$1$		$0$	$14400$	$0.358854$	$3375/4832$	$0.96567$	$2.87566$	$[1, -1, 1, 15, -1151]$	$y^2+xy+y=x^3-x^2+15x-1151$	1208.2.0.?	$[]$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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