Elliptic curve search results

Results (36 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
1760.e1	1760d1	1760.e	1760d	$1$	$1$	\( 2^{5} \cdot 5 \cdot 11 \)	\( - 2^{9} \cdot 5^{5} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$3360$	$1.271381$	$-5833944216008/60897409375$	$1.00755$	$5.16247$	$[0, -1, 0, -3000, -275000]$	\(y^2=x^3-x^2-3000x-275000\)	440.2.0.?	$[ ]$
1760.k1	1760g1	1760.k	1760g	$1$	$1$	\( 2^{5} \cdot 5 \cdot 11 \)	\( - 2^{9} \cdot 5^{5} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.085014604$	$1$		$8$	$3360$	$1.271381$	$-5833944216008/60897409375$	$1.00755$	$5.16247$	$[0, 1, 0, -3000, 275000]$	\(y^2=x^3+x^2-3000x+275000\)	440.2.0.?	$[(-50, 550)]$
3520.i1	3520r1	3520.i	3520r	$1$	$1$	\( 2^{6} \cdot 5 \cdot 11 \)	\( - 2^{15} \cdot 5^{5} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$13440$	$1.617954$	$-5833944216008/60897409375$	$1.00755$	$5.23355$	$[0, -1, 0, -12001, 2212001]$	\(y^2=x^3-x^2-12001x+2212001\)	440.2.0.?	$[ ]$
3520.w1	3520w1	3520.w	3520w	$1$	$1$	\( 2^{6} \cdot 5 \cdot 11 \)	\( - 2^{15} \cdot 5^{5} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.703231499$	$1$		$4$	$13440$	$1.617954$	$-5833944216008/60897409375$	$1.00755$	$5.23355$	$[0, 1, 0, -12001, -2212001]$	\(y^2=x^3+x^2-12001x-2212001\)	440.2.0.?	$[(495, 10648)]$
8800.j1	8800v1	8800.j	8800v	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 11 \)	\( - 2^{9} \cdot 5^{11} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.526864387$	$1$		$6$	$80640$	$2.076099$	$-5833944216008/60897409375$	$1.00755$	$5.31088$	$[0, -1, 0, -75008, 34525012]$	\(y^2=x^3-x^2-75008x+34525012\)	440.2.0.?	$[(-28, 6050)]$
8800.s1	8800n1	8800.s	8800n	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 11 \)	\( - 2^{9} \cdot 5^{11} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$9$	$3$	$0$	$80640$	$2.076099$	$-5833944216008/60897409375$	$1.00755$	$5.31088$	$[0, 1, 0, -75008, -34525012]$	\(y^2=x^3+x^2-75008x-34525012\)	440.2.0.?	$[ ]$
15840.h1	15840t1	15840.h	15840t	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$12.92024602$	$1$		$0$	$100800$	$1.820686$	$-5833944216008/60897409375$	$1.00755$	$4.67112$	$[0, 0, 0, -27003, -7452002]$	\(y^2=x^3-27003x-7452002\)	440.2.0.?	$[(686001/31, 546908774/31)]$
15840.s1	15840y1	15840.s	15840y	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$100800$	$1.820686$	$-5833944216008/60897409375$	$1.00755$	$4.67112$	$[0, 0, 0, -27003, 7452002]$	\(y^2=x^3-27003x+7452002\)	440.2.0.?	$[ ]$
17600.bg1	17600cg1	17600.bg	17600cg	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \)	\( - 2^{15} \cdot 5^{11} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.706676164$	$1$		$2$	$322560$	$2.422672$	$-5833944216008/60897409375$	$1.00755$	$5.35974$	$[0, -1, 0, -300033, -275900063]$	\(y^2=x^3-x^2-300033x-275900063\)	440.2.0.?	$[(1872, 75625)]$
17600.ce1	17600bo1	17600.ce	17600bo	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \)	\( - 2^{15} \cdot 5^{11} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$322560$	$2.422672$	$-5833944216008/60897409375$	$1.00755$	$5.35974$	$[0, 1, 0, -300033, 275900063]$	\(y^2=x^3+x^2-300033x+275900063\)	440.2.0.?	$[ ]$
19360.l1	19360y1	19360.l	19360y	$1$	$1$	\( 2^{5} \cdot 5 \cdot 11^{2} \)	\( - 2^{9} \cdot 5^{5} \cdot 11^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$403200$	$2.470329$	$-5833944216008/60897409375$	$1.00755$	$5.36592$	$[0, -1, 0, -363040, 367477112]$	\(y^2=x^3-x^2-363040x+367477112\)	440.2.0.?	$[ ]$
19360.w1	19360w1	19360.w	19360w	$1$	$1$	\( 2^{5} \cdot 5 \cdot 11^{2} \)	\( - 2^{9} \cdot 5^{5} \cdot 11^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$403200$	$2.470329$	$-5833944216008/60897409375$	$1.00755$	$5.36592$	$[0, 1, 0, -363040, -367477112]$	\(y^2=x^3+x^2-363040x-367477112\)	440.2.0.?	$[ ]$
31680.co1	31680dy1	31680.co	31680dy	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.414377384$	$1$		$4$	$403200$	$2.167259$	$-5833944216008/60897409375$	$1.00755$	$4.76000$	$[0, 0, 0, -108012, -59616016]$	\(y^2=x^3-108012x-59616016\)	440.2.0.?	$[(518, 4840)]$
31680.dq1	31680di1	31680.dq	31680di	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$403200$	$2.167259$	$-5833944216008/60897409375$	$1.00755$	$4.76000$	$[0, 0, 0, -108012, 59616016]$	\(y^2=x^3-108012x+59616016\)	440.2.0.?	$[ ]$
38720.v1	38720bz1	38720.v	38720bz	$1$	$1$	\( 2^{6} \cdot 5 \cdot 11^{2} \)	\( - 2^{15} \cdot 5^{5} \cdot 11^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$7.459039095$	$1$		$2$	$1612800$	$2.816902$	$-5833944216008/60897409375$	$1.00755$	$5.40753$	$[0, -1, 0, -1452161, -2938364735]$	\(y^2=x^3-x^2-1452161x-2938364735\)	440.2.0.?	$[(7265, 608200)]$
38720.ch1	38720bw1	38720.ch	38720bw	$1$	$1$	\( 2^{6} \cdot 5 \cdot 11^{2} \)	\( - 2^{15} \cdot 5^{5} \cdot 11^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$6.313741181$	$1$		$0$	$1612800$	$2.816902$	$-5833944216008/60897409375$	$1.00755$	$5.40753$	$[0, 1, 0, -1452161, 2938364735]$	\(y^2=x^3+x^2-1452161x+2938364735\)	440.2.0.?	$[(53369/19, 358177424/19)]$
79200.bu1	79200bl1	79200.bu	79200bl	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{11} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1.669062529$	$1$		$2$	$2419200$	$2.625404$	$-5833944216008/60897409375$	$1.00755$	$4.86073$	$[0, 0, 0, -675075, 931500250]$	\(y^2=x^3-675075x+931500250\)	440.2.0.?	$[(630, 27500)]$
79200.cy1	79200x1	79200.cy	79200x	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{11} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$2419200$	$2.625404$	$-5833944216008/60897409375$	$1.00755$	$4.86073$	$[0, 0, 0, -675075, -931500250]$	\(y^2=x^3-675075x-931500250\)	440.2.0.?	$[ ]$
86240.p1	86240i1	86240.p	86240i	$1$	$1$	\( 2^{5} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{9} \cdot 5^{5} \cdot 7^{6} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$3.652991927$	$1$		$2$	$1270080$	$2.244335$	$-5833944216008/60897409375$	$1.00755$	$4.42195$	$[0, -1, 0, -147016, -94619020]$	\(y^2=x^3-x^2-147016x-94619020\)	440.2.0.?	$[(4396, 290158)]$
86240.bi1	86240b1	86240.bi	86240b	$1$	$1$	\( 2^{5} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{9} \cdot 5^{5} \cdot 7^{6} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$9$	$3$	$0$	$1270080$	$2.244335$	$-5833944216008/60897409375$	$1.00755$	$4.42195$	$[0, 1, 0, -147016, 94619020]$	\(y^2=x^3+x^2-147016x+94619020\)	440.2.0.?	$[ ]$
96800.v1	96800l1	96800.v	96800l	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{9} \cdot 5^{11} \cdot 11^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$9676800$	$3.275047$	$-5833944216008/60897409375$	$1.00755$	$5.45481$	$[0, -1, 0, -9076008, -45916486988]$	\(y^2=x^3-x^2-9076008x-45916486988\)	440.2.0.?	$[ ]$
96800.br1	96800e1	96800.br	96800e	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{9} \cdot 5^{11} \cdot 11^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$9676800$	$3.275047$	$-5833944216008/60897409375$	$1.00755$	$5.45481$	$[0, 1, 0, -9076008, 45916486988]$	\(y^2=x^3+x^2-9076008x+45916486988\)	440.2.0.?	$[ ]$
158400.fd1	158400do1	158400.fd	158400do	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{11} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$6.688631552$	$1$		$2$	$9676800$	$2.971981$	$-5833944216008/60897409375$	$1.00755$	$4.92669$	$[0, 0, 0, -2700300, 7452002000]$	\(y^2=x^3-2700300x+7452002000\)	440.2.0.?	$[(-2374, 21976)]$
158400.jp1	158400el1	158400.jp	158400el	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{11} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$9676800$	$2.971981$	$-5833944216008/60897409375$	$1.00755$	$4.92669$	$[0, 0, 0, -2700300, -7452002000]$	\(y^2=x^3-2700300x-7452002000\)	440.2.0.?	$[ ]$
172480.ct1	172480t1	172480.ct	172480t	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{15} \cdot 5^{5} \cdot 7^{6} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.333696635$	$1$		$6$	$5080320$	$2.590908$	$-5833944216008/60897409375$	$1.00755$	$4.51266$	$[0, -1, 0, -588065, 757540225]$	\(y^2=x^3-x^2-588065x+757540225\)	440.2.0.?	$[(405, 24200)]$
172480.fs1	172480cp1	172480.fs	172480cp	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{15} \cdot 5^{5} \cdot 7^{6} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$5080320$	$2.590908$	$-5833944216008/60897409375$	$1.00755$	$4.51266$	$[0, 1, 0, -588065, -757540225]$	\(y^2=x^3+x^2-588065x-757540225\)	440.2.0.?	$[ ]$
174240.x1	174240dl1	174240.x	174240dl	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 11^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$26.89278730$	$1$		$0$	$12096000$	$3.019634$	$-5833944216008/60897409375$	$1.00755$	$4.93517$	$[0, 0, 0, -3267363, -9918614662]$	\(y^2=x^3-3267363x-9918614662\)	440.2.0.?	$[(312447024883466/157769, 5451293393934829305766/157769)]$
174240.bq1	174240ds1	174240.bq	174240ds	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 11^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$19.62240880$	$1$		$0$	$12096000$	$3.019634$	$-5833944216008/60897409375$	$1.00755$	$4.93517$	$[0, 0, 0, -3267363, 9918614662]$	\(y^2=x^3-3267363x+9918614662\)	440.2.0.?	$[(6924776529/571, 574455519473198/571)]$
193600.dg1	193600bx1	193600.dg	193600bx	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{15} \cdot 5^{11} \cdot 11^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1.754466092$	$1$		$4$	$38707200$	$3.621620$	$-5833944216008/60897409375$	$1.00755$	$5.48586$	$[0, -1, 0, -36304033, 367368199937]$	\(y^2=x^3-x^2-36304033x+367368199937\)	440.2.0.?	$[(37, 605000)]$
193600.gp1	193600ds1	193600.gp	193600ds	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{15} \cdot 5^{11} \cdot 11^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$16.18043919$	$1$		$0$	$38707200$	$3.621620$	$-5833944216008/60897409375$	$1.00755$	$5.48586$	$[0, 1, 0, -36304033, -367368199937]$	\(y^2=x^3+x^2-36304033x-367368199937\)	440.2.0.?	$[(5778478437/757, 234406213332500/757)]$
297440.g1	297440g1	297440.g	297440g	$1$	$1$	\( 2^{5} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{9} \cdot 5^{5} \cdot 11^{7} \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$2.599294730$	$1$		$2$	$7741440$	$2.553856$	$-5833944216008/60897409375$	$1.00755$	$4.28226$	$[0, -1, 0, -507056, -606203144]$	\(y^2=x^3-x^2-507056x-606203144\)	440.2.0.?	$[(4793, 327184)]$
297440.p1	297440p1	297440.p	297440p	$1$	$1$	\( 2^{5} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{9} \cdot 5^{5} \cdot 11^{7} \cdot 13^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$7741440$	$2.553856$	$-5833944216008/60897409375$	$1.00755$	$4.28226$	$[0, 1, 0, -507056, 606203144]$	\(y^2=x^3+x^2-507056x+606203144\)	440.2.0.?	$[ ]$
348480.lv1	348480lv1	348480.lv	348480lv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 11^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$5.354934719$	$1$		$0$	$48384000$	$3.366207$	$-5833944216008/60897409375$	$1.00755$	$4.99300$	$[0, 0, 0, -13069452, -79348917296]$	\(y^2=x^3-13069452x-79348917296\)	440.2.0.?	$[(48202/3, 1766600/3)]$
348480.oh1	348480oh1	348480.oh	348480oh	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 11^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$2.697447957$	$1$		$0$	$48384000$	$3.366207$	$-5833944216008/60897409375$	$1.00755$	$4.99300$	$[0, 0, 0, -13069452, 79348917296]$	\(y^2=x^3-13069452x+79348917296\)	440.2.0.?	$[(-44627/3, 4026275/3)]$
431200.bo1	431200bo1	431200.bo	431200bo	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{9} \cdot 5^{11} \cdot 7^{6} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$4.542970519$	$1$		$2$	$30481920$	$3.049057$	$-5833944216008/60897409375$	$1.00755$	$4.61770$	$[0, -1, 0, -3675408, 11834728312]$	\(y^2=x^3-x^2-3675408x+11834728312\)	440.2.0.?	$[(637, 98750)]$
431200.dv1	431200dv1	431200.dv	431200dv	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{9} \cdot 5^{11} \cdot 7^{6} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$30481920$	$3.049057$	$-5833944216008/60897409375$	$1.00755$	$4.61770$	$[0, 1, 0, -3675408, -11834728312]$	\(y^2=x^3+x^2-3675408x-11834728312\)	440.2.0.?	$[ ]$

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