Elliptic curves over $\Q$ of conductor 157146

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (15 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
157146.a1	157146l1	157146.a	157146l	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{16} \cdot 3^{2} \cdot 11^{3} \cdot 2381 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$52382$	$2$	$0$	$1.290110784$	$1$		$4$	$317952$	$1.044163$	$3220220775392711/1869217726464$	$0.91983$	$2.98441$	$1$	$[1, 1, 0, 3077, -2339]$	\(y^2+xy=x^3+x^2+3077x-2339\)	52382.2.0.?	$[(6, 125)]$	$1$
157146.b1	157146i1	157146.b	157146i	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{6} \cdot 3^{6} \cdot 11 \cdot 2381 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$52382$	$2$	$0$	$0.770140630$	$1$		$14$	$115200$	$0.431853$	$1635940985687/1221967296$	$0.81586$	$2.35047$	$1$	$[1, 0, 1, 245, -778]$	\(y^2+xy+y=x^3+245x-778\)	52382.2.0.?	$[(7, 32), (31, 176)]$	$1$
157146.c1	157146j1	157146.c	157146j	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{2} \cdot 3^{4} \cdot 11^{5} \cdot 2381 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$52382$	$2$	$0$	$0.241153399$	$1$		$20$	$215040$	$0.891205$	$-2596717791529849/124241827644$	$0.85547$	$2.97306$	$1$	$[1, 0, 1, -2864, 61130]$	\(y^2+xy+y=x^3-2864x+61130\)	52382.2.0.?	$[(63, 331), (162, 1882)]$	$1$
157146.d1	157146k1	157146.d	157146k	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{13} \cdot 3^{4} \cdot 11 \cdot 2381 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$209528$	$2$	$0$	$3.828424450$	$1$		$2$	$171392$	$0.765333$	$-1075535887237993/17379090432$	$0.84855$	$2.89506$	$1$	$[1, 0, 1, -2135, -38662]$	\(y^2+xy+y=x^3-2135x-38662\)	209528.2.0.?	$[(78, 481)]$	$1$
157146.e1	157146e1	157146.e	157146e	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{5} \cdot 3 \cdot 11^{5} \cdot 2381 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$628584$	$2$	$0$	$0.254307727$	$1$		$6$	$260400$	$0.709556$	$6971154805727/36812393376$	$0.84405$	$2.64671$	$1$	$[1, 1, 1, 398, -8545]$	\(y^2+xy+y=x^3+x^2+398x-8545\)	628584.2.0.?	$[(37, 223)]$	$1$
157146.f1	157146f1	157146.f	157146f	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{8} \cdot 3^{8} \cdot 11^{7} \cdot 2381 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$52382$	$2$	$0$	$0.378966479$	$1$		$6$	$1684480$	$1.927578$	$67677835917255105599/77932425775286016$	$0.98476$	$3.81626$	$1$	$[1, 1, 1, 84900, 9508413]$	\(y^2+xy+y=x^3+x^2+84900x+9508413\)	52382.2.0.?	$[(37, 3545)]$	$1$
157146.g1	157146g1	157146.g	157146g	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{4} \cdot 3^{2} \cdot 11 \cdot 2381 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$52382$	$2$	$0$	$1$	$1$		$0$	$95616$	$0.339836$	$-85841990950897/3771504$	$0.82901$	$2.68147$	$1$	$[1, 1, 1, -919, -11107]$	\(y^2+xy+y=x^3+x^2-919x-11107\)	52382.2.0.?	$[ ]$	$1$
157146.h1	157146h1	157146.h	157146h	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{3} \cdot 3^{2} \cdot 11 \cdot 2381 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$209528$	$2$	$0$	$1$	$1$		$0$	$37824$	$-0.116175$	$-24137569/1885752$	$0.85081$	$1.83135$	$1$	$[1, 1, 1, -6, -69]$	\(y^2+xy+y=x^3+x^2-6x-69\)	209528.2.0.?	$[ ]$	$1$
157146.i1	157146a2	157146.i	157146a	$2$	$5$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2 \cdot 3^{2} \cdot 11 \cdot 2381^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$1047640$	$48$	$1$	$8.750575785$	$1$		$0$	$7560000$	$2.361950$	$-1099795367650045859281/15151728066349228398$	$0.95765$	$4.31766$	$1$	$[1, 0, 0, -215045, -191189889]$	\(y^2+xy=x^3-215045x-191189889\)	5.24.0-5.a.2.2, 209528.2.0.?, 1047640.48.1.?	$[(9343/2, 868877/2)]$	$1$
157146.i2	157146a1	157146.i	157146a	$2$	$5$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{5} \cdot 3^{10} \cdot 11^{5} \cdot 2381 \)	$1$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$1047640$	$48$	$1$	$1.750115157$	$1$		$12$	$1512000$	$1.557232$	$-1524055181537372401/724578338819808$	$0.93243$	$3.54934$	$1$	$[1, 0, 0, -23975, 1926441]$	\(y^2+xy=x^3-23975x+1926441\)	5.24.0-5.a.1.2, 209528.2.0.?, 1047640.48.1.?	$[(4, 1351)]$	$1$
157146.j1	157146b2	157146.j	157146b	$2$	$7$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{3} \cdot 3 \cdot 11 \cdot 2381^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$4400088$	$96$	$2$	$27.79886571$	$1$		$0$	$48519408$	$3.681316$	$-6266131592499446074204943809/114530114448469944018712104$	$1.00663$	$5.64055$	$1$	$[1, 0, 0, -38408316, -522985097928]$	\(y^2+xy=x^3-38408316x-522985097928\)	7.48.0-7.a.2.2, 628584.2.0.?, 4400088.96.2.?	$[(1144689834341/2660, 1222209563493495781/2660)]$	$1$
157146.j2	157146b1	157146.j	157146b	$2$	$7$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{21} \cdot 3^{7} \cdot 11^{7} \cdot 2381 \)	$1$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$4400088$	$96$	$2$	$3.971266530$	$1$		$12$	$6931344$	$2.708363$	$-15966056003238798715810369/212807477317047681024$	$0.96219$	$4.85212$	$1$	$[1, 0, 0, -5245956, 4677234192]$	\(y^2+xy=x^3-5245956x+4677234192\)	7.48.0-7.a.1.2, 628584.2.0.?, 4400088.96.2.?	$[(-448, 83516)]$	$1$
157146.k1	157146c2	157146.k	157146c	$2$	$3$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{7} \cdot 3^{2} \cdot 11^{3} \cdot 2381^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$628584$	$16$	$0$	$4.934897049$	$1$		$2$	$1463616$	$1.847946$	$-80267408947398354625/20697062959723392$	$0.91772$	$3.86132$	$1$	$[1, 0, 0, -89868, -12474864]$	\(y^2+xy=x^3-89868x-12474864\)	3.8.0-3.a.1.1, 209528.2.0.?, 628584.16.0.?	$[(468, 6696)]$	$1$
157146.k2	157146c1	157146.k	157146c	$2$	$3$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{21} \cdot 3^{6} \cdot 11 \cdot 2381 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$628584$	$16$	$0$	$1.644965683$	$1$		$8$	$487872$	$1.298639$	$57733998920237375/40041424355328$	$0.89513$	$3.22565$	$1$	$[1, 0, 0, 8052, 124560]$	\(y^2+xy=x^3+8052x+124560\)	3.8.0-3.a.1.2, 209528.2.0.?, 628584.16.0.?	$[(-12, 168)]$	$1$
157146.l1	157146d1	157146.l	157146d	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 2381 \)	\( - 2^{11} \cdot 3^{3} \cdot 11 \cdot 2381 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$628584$	$2$	$0$	$0.382033147$	$1$		$6$	$71280$	$0.454133$	$-1529221973761/1448257536$	$0.81009$	$2.42586$	$1$	$[1, 0, 0, -240, 2304]$	\(y^2+xy=x^3-240x+2304\)	628584.2.0.?	$[(0, 48)]$	$1$

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