LMFDB - Elliptic curves over $\Q$ of conductor 60016

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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	Manin constant

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Results (22 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
60016.a1	60016h1	60016.a	60016h	$1$	$1$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{4} \cdot 11^{8} \cdot 31^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$62$	$2$	$0$	$8.186215008$	$1$		$0$	$1728000$	$2.468227$	$-811813221498166528/3464127271$	$0.97421$	$5.30777$	$[0, 1, 0, -5925652, -5554032849]$	$y^2=x^3+x^2-5925652x-5554032849$	62.2.0.a.1	$[(152357/7, 26770577/7)]$
60016.b1	60016g1	60016.b	60016g	$1$	$1$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{11} \cdot 11^{7} \cdot 31 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2728$	$2$	$0$	$0.254438954$	$1$		$6$	$69120$	$1.002371$	$-31250/341$	$0.81290$	$3.21297$	$[0, 1, 0, -1008, 54580]$	$y^2=x^3+x^2-1008x+54580$	2728.2.0.?	$[(62, 484)]$
60016.c1	60016b1	60016.c	60016b	$1$	$1$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{4} \cdot 11^{8} \cdot 31^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$62$	$2$	$0$	$1$	$1$		$0$	$253440$	$1.401670$	$-11647819008/3604711$	$0.85774$	$3.70527$	$[0, 0, 0, -14399, 823889]$	$y^2=x^3-14399x+823889$	62.2.0.a.1	$[ ]$
60016.d1	60016a1	60016.d	60016a	$1$	$1$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{4} \cdot 11^{6} \cdot 31 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$62$	$2$	$0$	$4.773806404$	$1$		$4$	$22400$	$0.398610$	$6912/31$	$0.65713$	$2.53677$	$[0, 0, 0, 121, -1331]$	$y^2=x^3+121x-1331$	62.2.0.a.1	$[(33/2, 121/2), (220, 3267)]$
60016.e1	60016o1	60016.e	60016o	$1$	$1$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{31} \cdot 11^{9} \cdot 31 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2728$	$2$	$0$	$1$	$1$		$0$	$1313280$	$2.557793$	$5130275528223/21632647168$	$1.01888$	$4.89074$	$[0, 0, 0, 695629, -559906446]$	$y^2=x^3+695629x-559906446$	2728.2.0.?	$[ ]$
60016.f1	60016n4	60016.f	60016n	$4$	$4$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ 2^{13} \cdot 11^{6} \cdot 31 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.9	2B	$2728$	$48$	$0$	$1$	$1$		$1$	$276480$	$1.784018$	$3999236143617/62$	$1.07559$	$4.70101$	$[0, 0, 0, -640211, 197166354]$	$y^2=x^3-640211x+197166354$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 88.24.0.?, 248.24.0.?, $\ldots$	$[ ]$
60016.f2	60016n3	60016.f	60016n	$4$	$4$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ 2^{13} \cdot 11^{6} \cdot 31^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.15	2B	$2728$	$48$	$0$	$1$	$1$		$1$	$276480$	$1.784018$	$3196010817/1847042$	$1.17908$	$4.05279$	$[0, 0, 0, -59411, -204974]$	$y^2=x^3-59411x-204974$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$	$[ ]$
60016.f3	60016n2	60016.f	60016n	$4$	$4$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ 2^{14} \cdot 11^{6} \cdot 31^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.3	2Cs	$2728$	$48$	$0$	$1$	$1$		$3$	$138240$	$1.437443$	$979146657/3844$	$1.02504$	$3.94527$	$[0, 0, 0, -40051, 3074610]$	$y^2=x^3-40051x+3074610$	2.6.0.a.1, 8.12.0.a.1, 44.12.0-2.a.1.1, 88.24.0.?, 124.12.0.?, $\ldots$	$[ ]$
60016.f4	60016n1	60016.f	60016n	$4$	$4$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{16} \cdot 11^{6} \cdot 31 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.9	2B	$2728$	$48$	$0$	$1$	$1$		$1$	$69120$	$1.090870$	$-35937/496$	$0.93090$	$3.30906$	$[0, 0, 0, -1331, 93170]$	$y^2=x^3-1331x+93170$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 44.12.0-4.c.1.1, 62.6.0.b.1, $\ldots$	$[ ]$
60016.g1	60016m1	60016.g	60016m	$1$	$1$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{4} \cdot 11^{12} \cdot 31 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$62$	$2$	$0$	$1$	$1$		$0$	$172800$	$1.716665$	$-3499279992576/54918391$	$0.91752$	$4.18731$	$[0, 0, 0, -96437, 11682187]$	$y^2=x^3-96437x+11682187$	62.2.0.a.1	$[ ]$
60016.h1	60016l1	60016.h	60016l	$1$	$1$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{4} \cdot 11^{6} \cdot 31 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$62$	$2$	$0$	$1$	$4$	$2$	$0$	$25920$	$0.639958$	$-33958656/31$	$1.22690$	$3.13589$	$[0, 0, 0, -2057, -35937]$	$y^2=x^3-2057x-35937$	62.2.0.a.1	$[ ]$
60016.i1	60016f1	60016.i	60016f	$1$	$1$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{4} \cdot 11^{16} \cdot 31 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$62$	$2$	$0$	$13.98239582$	$1$		$0$	$2188800$	$2.403004$	$1167425747785472/804060162631$	$0.96638$	$4.71294$	$[0, -1, 0, 668848, 91587311]$	$y^2=x^3-x^2+668848x+91587311$	62.2.0.a.1	$[(-126581/37, 272515941/37)]$
60016.j1	60016k1	60016.j	60016k	$2$	$3$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{4} \cdot 11^{6} \cdot 31 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$4092$	$16$	$0$	$1.931318811$	$1$		$0$	$25920$	$0.427186$	$-87808/31$	$0.69864$	$2.63754$	$[0, -1, 0, -282, 2411]$	$y^2=x^3-x^2-282x+2411$	3.4.0.a.1, 62.2.0.a.1, 132.8.0.?, 186.8.0.?, 4092.16.0.?	$[(5/2, 363/2)]$
60016.j2	60016k2	60016.j	60016k	$2$	$3$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{4} \cdot 11^{6} \cdot 31^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$4092$	$16$	$0$	$5.793956433$	$1$		$0$	$77760$	$0.976492$	$38112512/29791$	$0.88754$	$3.14623$	$[0, -1, 0, 2138, -23241]$	$y^2=x^3-x^2+2138x-23241$	3.4.0.a.1, 62.2.0.a.1, 132.8.0.?, 186.8.0.?, 4092.16.0.?	$[(3525/2, 209451/2)]$
60016.k1	60016e1	60016.k	60016e	$1$	$1$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{4} \cdot 11^{8} \cdot 31 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$62$	$2$	$0$	$3.320930296$	$1$		$2$	$84480$	$0.916511$	$-233644288/3751$	$0.76580$	$3.31353$	$[0, -1, 0, -3912, 96791]$	$y^2=x^3-x^2-3912x+96791$	62.2.0.a.1	$[(35, 39)]$
60016.l1	60016i3	60016.l	60016i	$3$	$9$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{13} \cdot 11^{15} \cdot 31 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	9.12.0.1	3B	$24552$	$144$	$3$	$11.13747790$	$1$		$0$	$1866240$	$2.761806$	$-888751018248625/146192756842$	$0.95164$	$5.21489$	$[0, -1, 0, -3877848, -3329579152]$	$y^2=x^3-x^2-3877848x-3329579152$	3.4.0.a.1, 9.12.0.a.1, 132.8.0.?, 279.36.0.?, 396.24.0.?, $\ldots$	$[(532728916/471, 3620432922040/471)]$
60016.l2	60016i1	60016.l	60016i	$3$	$9$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{21} \cdot 11^{7} \cdot 31 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	9.12.0.1	3B	$24552$	$144$	$3$	$1.237497545$	$1$		$0$	$207360$	$1.663193$	$-3981876625/174592$	$0.85035$	$4.07941$	$[0, -1, 0, -63928, 6474096]$	$y^2=x^3-x^2-63928x+6474096$	3.4.0.a.1, 9.12.0.a.1, 132.8.0.?, 279.36.0.?, 396.24.0.?, $\ldots$	$[(1180/3, 15488/3)]$
60016.l3	60016i2	60016.l	60016i	$3$	$9$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{15} \cdot 11^{9} \cdot 31^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.12.0.1	3Cs	$24552$	$144$	$3$	$3.712492636$	$1$		$0$	$622080$	$2.212498$	$514885403375/317214568$	$0.94093$	$4.51470$	$[0, -1, 0, 323272, 17873264]$	$y^2=x^3-x^2+323272x+17873264$	3.12.0.a.1, 132.24.0.?, 279.36.0.?, 744.24.0.?, 2232.72.0.?, $\ldots$	$[(15436/3, 2023120/3)]$
60016.m1	60016c1	60016.m	60016c	$1$	$1$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{4} \cdot 11^{6} \cdot 31 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$62$	$2$	$0$	$3.600979779$	$1$		$0$	$22400$	$0.395627$	$-256/31$	$0.78373$	$2.54976$	$[0, -1, 0, -40, 1443]$	$y^2=x^3-x^2-40x+1443$	62.2.0.a.1	$[(273/4, 4719/4)]$
60016.n1	60016j1	60016.n	60016j	$1$	$1$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{4} \cdot 11^{8} \cdot 31 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$62$	$2$	$0$	$8.579116740$	$1$		$0$	$34560$	$0.805086$	$6243584/3751$	$0.76319$	$2.98182$	$[0, -1, 0, 1170, -3397]$	$y^2=x^3-x^2+1170x-3397$	62.2.0.a.1	$[(4901/5, 347349/5)]$
60016.o1	60016d2	60016.o	60016d	$2$	$2$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ 2^{11} \cdot 11^{6} \cdot 31^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$248$	$12$	$0$	$3.954411202$	$1$		$1$	$89600$	$1.098288$	$1825346/961$	$0.88772$	$3.31104$	$[0, -1, 0, -3912, -26992]$	$y^2=x^3-x^2-3912x-26992$	2.3.0.a.1, 8.6.0.b.1, 124.6.0.?, 248.12.0.?	$[(712/3, 10540/3)]$
60016.o2	60016d1	60016.o	60016d	$2$	$2$	$ 2^{4} \cdot 11^{2} \cdot 31 $	$ - 2^{10} \cdot 11^{6} \cdot 31 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$248$	$12$	$0$	$7.908822404$	$1$		$1$	$44800$	$0.751715$	$48668/31$	$0.79741$	$2.91861$	$[0, -1, 0, 928, -3760]$	$y^2=x^3-x^2+928x-3760$	2.3.0.a.1, 8.6.0.c.1, 62.6.0.b.1, 248.12.0.?	$[(2056/15, 247996/15)]$

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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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