Elliptic curve search results

Results (32 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
2142.e1	2142a1	2142.e	2142a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 17 \)	\( - 2^{11} \cdot 3^{9} \cdot 7 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$2.378687601$	$1$		$2$	$1056$	$0.566080$	$-599077107/243712$	$0.93124$	$3.99385$	$[1, -1, 0, -474, -5068]$	\(y^2+xy=x^3-x^2-474x-5068\)	2856.2.0.?	$[(43, 208)]$
2142.p1	2142l1	2142.p	2142l	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 17 \)	\( - 2^{11} \cdot 3^{3} \cdot 7 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$0.083119736$	$1$		$10$	$352$	$0.016774$	$-599077107/243712$	$0.93124$	$3.13438$	$[1, -1, 1, -53, 205]$	\(y^2+xy+y=x^3-x^2-53x+205\)	2856.2.0.?	$[(7, 8)]$
14994.m1	14994g1	14994.m	14994g	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{11} \cdot 3^{9} \cdot 7^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$0.900769932$	$1$		$4$	$50688$	$1.539036$	$-599077107/243712$	$0.93124$	$4.39984$	$[1, -1, 0, -23235, 1784789]$	\(y^2+xy=x^3-x^2-23235x+1784789\)	2856.2.0.?	$[(79, 622)]$
14994.cm1	14994bp1	14994.cm	14994bp	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{11} \cdot 3^{3} \cdot 7^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$0.276399217$	$1$		$8$	$16896$	$0.989729$	$-599077107/243712$	$0.93124$	$3.71431$	$[1, -1, 1, -2582, -65243]$	\(y^2+xy+y=x^3-x^2-2582x-65243\)	2856.2.0.?	$[(121, 1115)]$
17136.t1	17136u1	17136.t	17136u	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( - 2^{23} \cdot 3^{3} \cdot 7 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$8448$	$0.709921$	$-599077107/243712$	$0.93124$	$3.31902$	$[0, 0, 0, -843, -12294]$	\(y^2=x^3-843x-12294\)	2856.2.0.?	$[ ]$
17136.bc1	17136s1	17136.bc	17136s	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( - 2^{23} \cdot 3^{9} \cdot 7 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1.031013744$	$1$		$4$	$25344$	$1.259228$	$-599077107/243712$	$0.93124$	$3.99516$	$[0, 0, 0, -7587, 331938]$	\(y^2=x^3-7587x+331938\)	2856.2.0.?	$[(369, 6912)]$
36414.s1	36414j1	36414.s	36414j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{9} \cdot 7 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$304128$	$1.982687$	$-599077107/243712$	$0.93124$	$4.53503$	$[1, -1, 0, -137040, -25447168]$	\(y^2+xy=x^3-x^2-137040x-25447168\)	2856.2.0.?	$[ ]$
36414.cm1	36414bz1	36414.cm	36414bz	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{3} \cdot 7 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$0.209117446$	$1$		$8$	$101376$	$1.433380$	$-599077107/243712$	$0.93124$	$3.90741$	$[1, -1, 1, -15227, 947563]$	\(y^2+xy+y=x^3-x^2-15227x+947563\)	2856.2.0.?	$[(13, 860)]$
53550.bt1	53550e1	53550.bt	53550e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$49280$	$0.821492$	$-599077107/243712$	$0.93124$	$3.09465$	$[1, -1, 0, -1317, 24341]$	\(y^2+xy=x^3-x^2-1317x+24341\)	2856.2.0.?	$[ ]$
53550.ed1	53550cu1	53550.ed	53550cu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{11} \cdot 3^{9} \cdot 5^{6} \cdot 7 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$147840$	$1.370798$	$-599077107/243712$	$0.93124$	$3.70004$	$[1, -1, 1, -11855, -645353]$	\(y^2+xy+y=x^3-x^2-11855x-645353\)	2856.2.0.?	$[ ]$
68544.bv1	68544c1	68544.bv	68544c	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( - 2^{29} \cdot 3^{9} \cdot 7 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$4.028889597$	$1$		$0$	$202752$	$1.605801$	$-599077107/243712$	$0.93124$	$3.87127$	$[0, 0, 0, -30348, -2655504]$	\(y^2=x^3-30348x-2655504\)	2856.2.0.?	$[(2062/3, 41984/3)]$
68544.cg1	68544db1	68544.cg	68544db	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( - 2^{29} \cdot 3^{9} \cdot 7 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$3.365396759$	$1$		$2$	$202752$	$1.605801$	$-599077107/243712$	$0.93124$	$3.87127$	$[0, 0, 0, -30348, 2655504]$	\(y^2=x^3-30348x+2655504\)	2856.2.0.?	$[(-180, 1512)]$
68544.ct1	68544g1	68544.ct	68544g	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( - 2^{29} \cdot 3^{3} \cdot 7 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$67584$	$1.056494$	$-599077107/243712$	$0.93124$	$3.27930$	$[0, 0, 0, -3372, 98352]$	\(y^2=x^3-3372x+98352\)	2856.2.0.?	$[ ]$
68544.de1	68544df1	68544.de	68544df	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( - 2^{29} \cdot 3^{3} \cdot 7 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$67584$	$1.056494$	$-599077107/243712$	$0.93124$	$3.27930$	$[0, 0, 0, -3372, -98352]$	\(y^2=x^3-3372x-98352\)	2856.2.0.?	$[ ]$
119952.cs1	119952cz1	119952.cs	119952cz	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{23} \cdot 3^{9} \cdot 7^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$1216512$	$2.232182$	$-599077107/243712$	$0.93124$	$4.32875$	$[0, 0, 0, -371763, -113854734]$	\(y^2=x^3-371763x-113854734\)	2856.2.0.?	$[ ]$
119952.en1	119952ci1	119952.en	119952ci	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{23} \cdot 3^{3} \cdot 7^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$2.443610027$	$1$		$2$	$405504$	$1.682877$	$-599077107/243712$	$0.93124$	$3.76511$	$[0, 0, 0, -41307, 4216842]$	\(y^2=x^3-41307x+4216842\)	2856.2.0.?	$[(231, 2646)]$
254898.cl1	254898cl1	254898.cl	254898cl	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{9} \cdot 7^{7} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$14598144$	$2.955643$	$-599077107/243712$	$0.93124$	$4.76402$	$[1, -1, 0, -6714969, 8741808557]$	\(y^2+xy=x^3-x^2-6714969x+8741808557\)	2856.2.0.?	$[ ]$
254898.fu1	254898fu1	254898.fu	254898fu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{3} \cdot 7^{7} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1.803859770$	$1$		$4$	$4866048$	$2.406334$	$-599077107/243712$	$0.93124$	$4.23451$	$[1, -1, 1, -746108, -323521985]$	\(y^2+xy+y=x^3-x^2-746108x-323521985\)	2856.2.0.?	$[(7765, 675845)]$
259182.bj1	259182bj1	259182.bj	259182bj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 17 \)	\( - 2^{11} \cdot 3^{3} \cdot 7 \cdot 11^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$10.14048926$	$1$		$0$	$503360$	$1.215721$	$-599077107/243712$	$0.93124$	$3.08268$	$[1, -1, 0, -6375, -254083]$	\(y^2+xy=x^3-x^2-6375x-254083\)	2856.2.0.?	$[(38053/11, 6929942/11)]$
259182.fc1	259182fc1	259182.fc	259182fc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 17 \)	\( - 2^{11} \cdot 3^{9} \cdot 7 \cdot 11^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1.908900500$	$1$		$2$	$1510080$	$1.765028$	$-599077107/243712$	$0.93124$	$3.61148$	$[1, -1, 1, -57377, 6917617]$	\(y^2+xy+y=x^3-x^2-57377x+6917617\)	2856.2.0.?	$[(151, 1220)]$
291312.cd1	291312cd1	291312.cd	291312cd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{23} \cdot 3^{9} \cdot 7 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$7299072$	$2.675835$	$-599077107/243712$	$0.93124$	$4.44660$	$[0, 0, 0, -2192643, 1630811394]$	\(y^2=x^3-2192643x+1630811394\)	2856.2.0.?	$[ ]$
291312.do1	291312do1	291312.do	291312do	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{23} \cdot 3^{3} \cdot 7 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$2433024$	$2.126526$	$-599077107/243712$	$0.93124$	$3.92271$	$[0, 0, 0, -243627, -60400422]$	\(y^2=x^3-243627x-60400422\)	2856.2.0.?	$[ ]$
361998.bm1	361998bm1	361998.bm	361998bm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \)	\( - 2^{11} \cdot 3^{3} \cdot 7 \cdot 13^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$5.338016317$	$1$		$0$	$789888$	$1.299248$	$-599077107/243712$	$0.93124$	$3.08052$	$[1, -1, 0, -8904, 424256]$	\(y^2+xy=x^3-x^2-8904x+424256\)	2856.2.0.?	$[(199/2, 2363/2)]$
361998.cx1	361998cx1	361998.cx	361998cx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \)	\( - 2^{11} \cdot 3^{9} \cdot 7 \cdot 13^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$4.196056988$	$1$		$2$	$2369664$	$1.848555$	$-599077107/243712$	$0.93124$	$3.59552$	$[1, -1, 1, -80138, -11374775]$	\(y^2+xy+y=x^3-x^2-80138x-11374775\)	2856.2.0.?	$[(475, 7349)]$
374850.dd1	374850dd1	374850.dd	374850dd	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{6} \cdot 7^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$10.57103400$	$1$		$0$	$2365440$	$1.794447$	$-599077107/243712$	$0.93124$	$3.53516$	$[1, -1, 0, -64542, -8219884]$	\(y^2+xy=x^3-x^2-64542x-8219884\)	2856.2.0.?	$[(446707/13, 294166573/13)]$
374850.mb1	374850mb1	374850.mb	374850mb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{11} \cdot 3^{9} \cdot 5^{6} \cdot 7^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1.313695185$	$1$		$4$	$7096320$	$2.343754$	$-599077107/243712$	$0.93124$	$4.04876$	$[1, -1, 1, -580880, 222517747]$	\(y^2+xy+y=x^3-x^2-580880x+222517747\)	2856.2.0.?	$[(205, 10481)]$
428400.de1	428400de1	428400.de	428400de	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{23} \cdot 3^{9} \cdot 5^{6} \cdot 7 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$7.074934255$	$1$		$2$	$3548160$	$2.063946$	$-599077107/243712$	$0.93124$	$3.74814$	$[0, 0, 0, -189675, 41492250]$	\(y^2=x^3-189675x+41492250\)	2856.2.0.?	$[(12159, 1339902)]$
428400.et1	428400et1	428400.et	428400et	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{23} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$1182720$	$1.514639$	$-599077107/243712$	$0.93124$	$3.23983$	$[0, 0, 0, -21075, -1536750]$	\(y^2=x^3-21075x-1536750\)	2856.2.0.?	$[ ]$
479808.gq1	479808gq1	479808.gq	479808gq	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{29} \cdot 3^{3} \cdot 7^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1.436400878$	$1$		$4$	$3244032$	$2.029449$	$-599077107/243712$	$0.93124$	$3.68402$	$[0, 0, 0, -165228, 33734736]$	\(y^2=x^3-165228x+33734736\)	2856.2.0.?	$[(186, 3072)]$
479808.hc1	479808hc1	479808.hc	479808hc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{29} \cdot 3^{3} \cdot 7^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$3244032$	$2.029449$	$-599077107/243712$	$0.93124$	$3.68402$	$[0, 0, 0, -165228, -33734736]$	\(y^2=x^3-165228x-33734736\)	2856.2.0.?	$[ ]$
479808.la1	479808la1	479808.la	479808la	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{29} \cdot 3^{9} \cdot 7^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1.602463153$	$1$		$4$	$9732096$	$2.578754$	$-599077107/243712$	$0.93124$	$4.18793$	$[0, 0, 0, -1487052, 910837872]$	\(y^2=x^3-1487052x+910837872\)	2856.2.0.?	$[(1582, 50176)]$
479808.lo1	479808lo1	479808.lo	479808lo	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{29} \cdot 3^{9} \cdot 7^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2856$	$2$	$0$	$1$	$1$		$0$	$9732096$	$2.578754$	$-599077107/243712$	$0.93124$	$4.18793$	$[0, 0, 0, -1487052, -910837872]$	\(y^2=x^3-1487052x-910837872\)	2856.2.0.?	$[ ]$

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