LMFDB - Elliptic curves over $\Q$ of conductor 1104

Refine search

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

		Sort order	Select

Results (26 matches)

Download displayed columns for results to

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
1104.a1	1104a3	1104.a	1104a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{11} \cdot 3 \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$552$	$48$	$0$	$1$	$4$	$2$	$1$	$512$	$0.462658$	$1378334691074/69$	$1.07977$	$5.07750$	$[0, -1, 0, -2944, -60512]$	$y^2=x^3-x^2-2944x-60512$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 92.12.0.?, $\ldots$	$[ ]$
1104.a2	1104a4	1104.a	1104a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{11} \cdot 3 \cdot 23^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$552$	$48$	$0$	$1$	$1$		$3$	$512$	$0.462658$	$1522096994/839523$	$1.08605$	$4.10578$	$[0, -1, 0, -304, 544]$	$y^2=x^3-x^2-304x+544$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 184.24.0.?, 552.48.0.?	$[ ]$
1104.a3	1104a2	1104.a	1104a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{10} \cdot 3^{2} \cdot 23^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$552$	$48$	$0$	$1$	$1$		$3$	$256$	$0.116085$	$676449508/4761$	$0.99194$	$3.89111$	$[0, -1, 0, -184, -896]$	$y^2=x^3-x^2-184x-896$	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 92.24.0.?, 552.48.0.?	$[ ]$
1104.a4	1104a1	1104.a	1104a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 23 $	$ - 2^{8} \cdot 3^{4} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$552$	$48$	$0$	$1$	$1$		$1$	$128$	$-0.230489$	$-35152/1863$	$0.89850$	$2.93158$	$[0, -1, 0, -4, -32]$	$y^2=x^3-x^2-4x-32$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.12, 46.6.0.a.1, 92.24.0.?, $\ldots$	$[ ]$
1104.b1	1104g4	1104.b	1104g	$4$	$6$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{18} \cdot 3 \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$276$	$96$	$1$	$1.479053649$	$1$		$5$	$2304$	$1.389156$	$50591419971625/28422890688$	$1.07125$	$5.69064$	$[0, -1, 0, -12328, -85904]$	$y^2=x^3-x^2-12328x-85904$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 12.48.0-12.h.1.1, 92.6.0.?, $\ldots$	$[(-30, 506)]$
1104.b2	1104g2	1104.b	1104g	$4$	$6$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{14} \cdot 3^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$276$	$96$	$1$	$4.437160948$	$1$		$3$	$768$	$0.839851$	$21081759765625/57132$	$1.12484$	$5.56570$	$[0, -1, 0, -9208, -337040]$	$y^2=x^3-x^2-9208x-337040$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 12.48.0-12.h.1.3, 92.6.0.?, $\ldots$	$[(114, 286)]$
1104.b3	1104g1	1104.b	1104g	$4$	$6$	$ 2^{4} \cdot 3 \cdot 23 $	$ - 2^{16} \cdot 3^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$276$	$96$	$1$	$2.218580474$	$1$		$5$	$384$	$0.493278$	$-4956477625/268272$	$0.95072$	$4.38597$	$[0, -1, 0, -568, -5264]$	$y^2=x^3-x^2-568x-5264$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.4, 46.6.0.a.1, $\ldots$	$[(60, 416)]$
1104.b4	1104g3	1104.b	1104g	$4$	$6$	$ 2^{4} \cdot 3 \cdot 23 $	$ - 2^{24} \cdot 3^{2} \cdot 23^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$276$	$96$	$1$	$0.739526824$	$1$		$7$	$1152$	$1.042583$	$752329532375/448524288$	$1.05431$	$5.09002$	$[0, -1, 0, 3032, -12176]$	$y^2=x^3-x^2+3032x-12176$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.2, 46.6.0.a.1, $\ldots$	$[(10, 138)]$
1104.c1	1104f2	1104.c	1104f	$2$	$2$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{12} \cdot 3 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$276$	$12$	$0$	$0.943042994$	$1$		$7$	$256$	$0.165754$	$413493625/1587$	$0.92463$	$4.01872$	$[0, -1, 0, -248, 1584]$	$y^2=x^3-x^2-248x+1584$	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(10, 2)]$
1104.c2	1104f1	1104.c	1104f	$2$	$2$	$ 2^{4} \cdot 3 \cdot 23 $	$ - 2^{12} \cdot 3^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$276$	$12$	$0$	$0.471521497$	$1$		$9$	$128$	$-0.180820$	$-15625/207$	$0.99061$	$3.01825$	$[0, -1, 0, -8, 48]$	$y^2=x^3-x^2-8x+48$	2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?	$[(2, 6)]$
1104.d1	1104e2	1104.d	1104e	$2$	$2$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{11} \cdot 3^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$552$	$12$	$0$	$0.428037605$	$1$		$9$	$384$	$0.437473$	$80919167474/14283$	$0.96612$	$4.67286$	$[0, 1, 0, -1144, 14516]$	$y^2=x^3+x^2-1144x+14516$	2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.?	$[(20, 6)]$
1104.d2	1104e1	1104.d	1104e	$2$	$2$	$ 2^{4} \cdot 3 \cdot 23 $	$ - 2^{10} \cdot 3^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$552$	$12$	$0$	$0.214018802$	$1$		$13$	$192$	$0.090899$	$-28756228/16767$	$0.89435$	$3.53986$	$[0, 1, 0, -64, 260]$	$y^2=x^3+x^2-64x+260$	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(2, 12)]$
1104.e1	1104i2	1104.e	1104i	$2$	$2$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{13} \cdot 3 \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$1$		$1$	$384$	$0.288595$	$3463512697/3174$	$0.94552$	$4.32205$	$[0, 1, 0, -504, -4524]$	$y^2=x^3+x^2-504x-4524$	2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.?	$[ ]$
1104.e2	1104i1	1104.e	1104i	$2$	$2$	$ 2^{4} \cdot 3 \cdot 23 $	$ - 2^{14} \cdot 3^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$1$		$1$	$192$	$-0.057978$	$-389017/828$	$0.87759$	$3.24433$	$[0, 1, 0, -24, -108]$	$y^2=x^3+x^2-24x-108$	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[ ]$
1104.f1	1104b2	1104.f	1104b	$2$	$2$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{10} \cdot 3^{7} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$1792$	$1.169321$	$10963069081334500/1156923$	$1.02886$	$6.26041$	$[0, 1, 0, -46648, -3893500]$	$y^2=x^3+x^2-46648x-3893500$	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[ ]$
1104.f2	1104b1	1104.f	1104b	$2$	$2$	$ 2^{4} \cdot 3 \cdot 23 $	$ - 2^{8} \cdot 3^{14} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$896$	$0.822747$	$-10627137250000/110008287$	$1.04721$	$5.07477$	$[0, 1, 0, -2908, -61876]$	$y^2=x^3+x^2-2908x-61876$	2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?	$[ ]$
1104.g1	1104h3	1104.g	1104h	$4$	$4$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{13} \cdot 3^{8} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.101	2B	$184$	$48$	$0$	$1$	$1$		$1$	$768$	$0.748161$	$1666957239793/301806$	$1.06466$	$5.20356$	$[0, 1, 0, -3952, -96940]$	$y^2=x^3+x^2-3952x-96940$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 92.12.0.?, 184.48.0.?	$[ ]$
1104.g2	1104h4	1104.g	1104h	$4$	$4$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{13} \cdot 3^{2} \cdot 23^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.49	2B	$184$	$48$	$0$	$1$	$1$		$3$	$768$	$0.748161$	$135559106353/5037138$	$0.97631$	$4.84543$	$[0, 1, 0, -1712, 25812]$	$y^2=x^3+x^2-1712x+25812$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 184.48.0.?	$[ ]$
1104.g3	1104h2	1104.g	1104h	$4$	$4$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{14} \cdot 3^{4} \cdot 23^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.2	2Cs	$184$	$48$	$0$	$1$	$1$		$3$	$384$	$0.401588$	$545338513/171396$	$0.94447$	$4.05822$	$[0, 1, 0, -272, -1260]$	$y^2=x^3+x^2-272x-1260$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 92.24.0.?, 184.48.0.?	$[ ]$
1104.g4	1104h1	1104.g	1104h	$4$	$4$	$ 2^{4} \cdot 3 \cdot 23 $	$ - 2^{16} \cdot 3^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.60	2B	$184$	$48$	$0$	$1$	$1$		$1$	$192$	$0.055014$	$2924207/3312$	$0.89878$	$3.31202$	$[0, 1, 0, 48, -108]$	$y^2=x^3+x^2+48x-108$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 46.6.0.a.1, 92.24.0.?, $\ldots$	$[ ]$
1104.h1	1104c3	1104.h	1104c	$4$	$4$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{10} \cdot 3^{3} \cdot 23^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$552$	$48$	$0$	$1$	$1$		$1$	$768$	$0.619071$	$45989074372/7555707$	$0.96263$	$4.49329$	$[0, 1, 0, -752, -6972]$	$y^2=x^3+x^2-752x-6972$	2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 184.24.0.?, 552.48.0.?	$[ ]$
1104.h2	1104c2	1104.h	1104c	$4$	$4$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{8} \cdot 3^{6} \cdot 23^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$276$	$48$	$0$	$1$	$1$		$3$	$384$	$0.272498$	$4135597648/385641$	$1.11158$	$3.95166$	$[0, 1, 0, -212, 1020]$	$y^2=x^3+x^2-212x+1020$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 92.24.0.?, 276.48.0.?	$[ ]$
1104.h3	1104c1	1104.h	1104c	$4$	$4$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{4} \cdot 3^{3} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$552$	$48$	$0$	$1$	$1$		$1$	$192$	$-0.074076$	$61604313088/621$	$1.06623$	$3.94146$	$[0, 1, 0, -207, 1080]$	$y^2=x^3+x^2-207x+1080$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$	$[ ]$
1104.h4	1104c4	1104.h	1104c	$4$	$4$	$ 2^{4} \cdot 3 \cdot 23 $	$ - 2^{10} \cdot 3^{12} \cdot 23 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$552$	$48$	$0$	$1$	$1$		$3$	$768$	$0.619071$	$1640689628/12223143$	$0.98661$	$4.37070$	$[0, 1, 0, 248, 5252]$	$y^2=x^3+x^2+248x+5252$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 46.6.0.a.1, 92.24.0.?, $\ldots$	$[ ]$
1104.i1	1104d2	1104.i	1104d	$2$	$2$	$ 2^{4} \cdot 3 \cdot 23 $	$ 2^{10} \cdot 3 \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$256$	$-0.065774$	$19307236/1587$	$1.01848$	$3.38354$	$[0, 1, 0, -56, 132]$	$y^2=x^3+x^2-56x+132$	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[ ]$
1104.i2	1104d1	1104.i	1104d	$2$	$2$	$ 2^{4} \cdot 3 \cdot 23 $	$ - 2^{8} \cdot 3^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$128$	$-0.412348$	$21296/207$	$0.81409$	$2.60768$	$[0, 1, 0, 4, 12]$	$y^2=x^3+x^2+4x+12$	2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?	$[ ]$

Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (26 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Learn more

Refine search Advanced search options

Results (26 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Refine search