Elliptic curves over $\Q$ of conductor 5400

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

Results (48 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	Manin constant
5400.a1	5400bv1	5400.a	5400bv	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$25200$	$1.461035$	$-325228538880$	$1.13957$	$5.61129$	$[0, 0, 0, -199500, -34297500]$	\(y^2=x^3-199500x-34297500\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$
5400.b1	5400w1	5400.b	5400w	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{11} \cdot 3^{9} \cdot 5^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$120$	$2$	$0$	$1.500377391$	$1$		$2$	$14400$	$1.355038$	$1458$	$1.01898$	$4.57077$	$[0, 0, 0, 10125, 168750]$	\(y^2=x^3+10125x+168750\)	120.2.0.?	$[(150, 2250)]$	$1$
5400.c1	5400bu1	5400.c	5400bu	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$120$	$2$	$0$	$1$	$1$		$0$	$4800$	$0.805732$	$1458$	$1.01898$	$3.80377$	$[0, 0, 0, 1125, -6250]$	\(y^2=x^3+1125x-6250\)	120.2.0.?	$[ ]$	$1$
5400.d1	5400x1	5400.d	5400x	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$0.547784573$	$1$		$6$	$75600$	$2.010342$	$-325228538880$	$1.13957$	$6.37829$	$[0, 0, 0, -1795500, 926032500]$	\(y^2=x^3-1795500x+926032500\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(774, 18)]$	$1$
5400.e1	5400o1	5400.e	5400o	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{11} \cdot 3^{11} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$24$	$2$	$0$	$1$	$1$		$0$	$10080$	$1.126514$	$-6$	$1.22518$	$4.28479$	$[0, 0, 0, -675, 114750]$	\(y^2=x^3-675x+114750\)	24.2.0.b.1	$[ ]$	$1$
5400.f1	5400e1	5400.f	5400e	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{10} \cdot 3^{11} \cdot 5^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$4.235638182$	$1$		$2$	$30240$	$1.612120$	$-300$	$0.85983$	$4.97145$	$[0, 0, 0, -16875, 2193750]$	\(y^2=x^3-16875x+2193750\)	6.2.0.a.1	$[(31, 1304)]$	$1$
5400.g1	5400bd1	5400.g	5400bd	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$10080$	$1.062815$	$-300$	$0.85983$	$4.20445$	$[0, 0, 0, -1875, -81250]$	\(y^2=x^3-1875x-81250\)	6.2.0.a.1	$[ ]$	$1$
5400.h1	5400be1	5400.h	5400be	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{11} \cdot 3^{5} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$24$	$2$	$0$	$1$	$1$		$0$	$3360$	$0.577208$	$-6$	$1.22518$	$3.51780$	$[0, 0, 0, -75, -4250]$	\(y^2=x^3-75x-4250\)	24.2.0.b.1	$[ ]$	$1$
5400.i1	5400bc1	5400.i	5400bc	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1$	$1$		$0$	$17280$	$1.442795$	$2700$	$0.94639$	$4.74908$	$[0, 0, 0, -16875, -506250]$	\(y^2=x^3-16875x-506250\)	12.2.0.a.1	$[ ]$	$1$
5400.j1	5400d1	5400.j	5400d	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$0.235345960$	$1$		$4$	$1152$	$0.144199$	$-6912/5$	$0.64602$	$2.95282$	$[0, 0, 0, -75, 375]$	\(y^2=x^3-75x+375\)	30.2.0.a.1	$[(-5, 25)]$	$1$
5400.k1	5400bl1	5400.k	5400bl	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1.263776353$	$1$		$4$	$5760$	$1.045906$	$1463340$	$0.92774$	$4.59571$	$[0, 0, 0, -10875, -436250]$	\(y^2=x^3-10875x-436250\)	12.2.0.a.1	$[(-61, 12)]$	$1$
5400.l1	5400t1	5400.l	5400t	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$30$	$2$	$0$	$1.698536162$	$1$		$2$	$1920$	$0.443310$	$-6912$	$0.69897$	$3.44624$	$[0, 0, 0, -375, -3125]$	\(y^2=x^3-375x-3125\)	30.2.0.a.1	$[(75, 625)]$	$1$
5400.m1	5400l1	5400.m	5400l	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$5760$	$1.083113$	$-3721734/3125$	$1.00020$	$4.25909$	$[0, 0, 0, -3075, 102750]$	\(y^2=x^3-3075x+102750\)	120.2.0.?	$[ ]$	$1$
5400.n1	5400bp1	5400.n	5400bp	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{11} \cdot 3^{9} \cdot 5^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1.733136840$	$1$		$2$	$17280$	$1.632420$	$-3721734/3125$	$1.00020$	$5.02608$	$[0, 0, 0, -27675, -2774250]$	\(y^2=x^3-27675x-2774250\)	120.2.0.?	$[(810, 22500)]$	$1$
5400.o1	5400bk1	5400.o	5400bk	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$30$	$2$	$0$	$1.065306136$	$1$		$4$	$5760$	$0.992616$	$-6912$	$0.69897$	$4.21324$	$[0, 0, 0, -3375, 84375]$	\(y^2=x^3-3375x+84375\)	30.2.0.a.1	$[(25, 125)]$	$1$
5400.p1	5400u1	5400.p	5400u	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1.015213913$	$1$		$4$	$17280$	$1.595211$	$1463340$	$0.92774$	$5.36271$	$[0, 0, 0, -97875, 11778750]$	\(y^2=x^3-97875x+11778750\)	12.2.0.a.1	$[(175, 100)]$	$1$
5400.q1	5400bq1	5400.q	5400bq	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$0.697385676$	$1$		$6$	$3456$	$0.693504$	$-6912/5$	$0.64602$	$3.71982$	$[0, 0, 0, -675, -10125]$	\(y^2=x^3-675x-10125\)	30.2.0.a.1	$[(45, 225)]$	$1$
5400.r1	5400m1	5400.r	5400m	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1$	$1$		$0$	$5760$	$0.893488$	$2700$	$0.94639$	$3.98209$	$[0, 0, 0, -1875, 18750]$	\(y^2=x^3-1875x+18750\)	12.2.0.a.1	$[ ]$	$1$
5400.s1	5400z1	5400.s	5400z	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$2160$	$0.281579$	$-30720$	$0.85983$	$3.31197$	$[0, 0, 0, -270, -1755]$	\(y^2=x^3-270x-1755\)	6.2.0.a.1	$[ ]$	$1$
5400.t1	5400g1	5400.t	5400g	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$4320$	$1.065298$	$-2160$	$0.64602$	$4.25567$	$[0, 0, 0, -3375, 101250]$	\(y^2=x^3-3375x+101250\)	6.2.0.a.1	$[ ]$	$1$
5400.u1	5400bh1	5400.u	5400bh	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$0.597769703$	$1$		$4$	$1440$	$0.515993$	$-2160$	$0.64602$	$3.48867$	$[0, 0, 0, -375, -3750]$	\(y^2=x^3-375x-3750\)	6.2.0.a.1	$[(25, 50)]$	$1$
5400.v1	5400c1	5400.v	5400c	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$0.193271768$	$1$		$6$	$720$	$-0.267727$	$-30720$	$0.85983$	$2.54498$	$[0, 0, 0, -30, 65]$	\(y^2=x^3-30x+65\)	6.2.0.a.1	$[(4, 3)]$	$1$
5400.w1	5400bn1	5400.w	5400bn	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$0.325298838$	$1$		$4$	$1152$	$0.311099$	$-768/5$	$0.72784$	$3.15000$	$[0, 0, 0, -75, 875]$	\(y^2=x^3-75x+875\)	30.2.0.a.1	$[(5, 25)]$	$1$
5400.x1	5400a1	5400.x	5400a	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$2.370569897$	$1$		$2$	$3456$	$0.860405$	$-768/5$	$0.72784$	$3.91700$	$[0, 0, 0, -675, -23625]$	\(y^2=x^3-675x-23625\)	30.2.0.a.1	$[(55, 325)]$	$1$
5400.y1	5400q1	5400.y	5400q	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$2.502846073$	$1$		$2$	$10800$	$1.086298$	$-30720$	$0.85983$	$4.43560$	$[0, 0, 0, -6750, -219375]$	\(y^2=x^3-6750x-219375\)	6.2.0.a.1	$[(100, 325)]$	$1$
5400.z1	5400bo1	5400.z	5400bo	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$0.191709387$	$1$		$6$	$864$	$0.260580$	$-2160$	$0.64602$	$3.13204$	$[0, 0, 0, -135, 810]$	\(y^2=x^3-135x+810\)	6.2.0.a.1	$[(9, 18)]$	$1$
5400.ba1	5400y1	5400.ba	5400y	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$6912$	$1.046366$	$27648/25$	$0.94639$	$4.10938$	$[0, 0, 0, 2700, 40500]$	\(y^2=x^3+2700x+40500\)	6.2.0.a.1	$[ ]$	$1$
5400.bb1	5400i1	5400.bb	5400i	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$288$	$-0.288726$	$-2160$	$0.64602$	$2.36504$	$[0, 0, 0, -15, -30]$	\(y^2=x^3-15x-30\)	6.2.0.a.1	$[ ]$	$1$
5400.bc1	5400b1	5400.bc	5400b	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.658669518$	$1$		$4$	$2304$	$0.497060$	$27648/25$	$0.94639$	$3.34238$	$[0, 0, 0, 300, -1500]$	\(y^2=x^3+300x-1500\)	6.2.0.a.1	$[(10, 50)]$	$1$
5400.bd1	5400bs1	5400.bd	5400bs	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$3600$	$0.536992$	$-30720$	$0.85983$	$3.66860$	$[0, 0, 0, -750, 8125]$	\(y^2=x^3-750x+8125\)	6.2.0.a.1	$[ ]$	$1$
5400.be1	5400s1	5400.be	5400s	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 5^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$0.687538285$	$1$		$4$	$3456$	$0.638075$	$2700$	$0.94639$	$3.62546$	$[0, 0, 0, -675, -4050]$	\(y^2=x^3-675x-4050\)	12.2.0.a.1	$[(-9, 36)]$	$1$
5400.bf1	5400k1	5400.bf	5400k	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1$	$1$		$0$	$1152$	$0.241187$	$1463340$	$0.92774$	$3.47209$	$[0, 0, 0, -435, -3490]$	\(y^2=x^3-435x-3490\)	12.2.0.a.1	$[ ]$	$1$
5400.bg1	5400bi1	5400.bg	5400bi	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$30$	$2$	$0$	$0.835561941$	$1$		$4$	$384$	$-0.361409$	$-6912$	$0.69897$	$2.32261$	$[0, 0, 0, -15, -25]$	\(y^2=x^3-15x-25\)	30.2.0.a.1	$[(5, 5)]$	$1$
5400.bh1	5400ba1	5400.bh	5400ba	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$1$		$0$	$17280$	$1.396732$	$1022208/3125$	$0.94712$	$4.63175$	$[0, 0, 0, 7425, -509625]$	\(y^2=x^3+7425x-509625\)	30.2.0.a.1	$[ ]$	$1$
5400.bi1	5400j1	5400.bi	5400j	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$1$		$0$	$5760$	$0.847426$	$1022208/3125$	$0.94712$	$3.86476$	$[0, 0, 0, 825, 18875]$	\(y^2=x^3+825x+18875\)	30.2.0.a.1	$[ ]$	$1$
5400.bj1	5400r1	5400.bj	5400r	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$30$	$2$	$0$	$0.176833697$	$1$		$6$	$1152$	$0.187897$	$-6912$	$0.69897$	$3.08961$	$[0, 0, 0, -135, 675]$	\(y^2=x^3-135x+675\)	30.2.0.a.1	$[(15, 45)]$	$1$
5400.bk1	5400bb1	5400.bk	5400bb	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1$	$1$		$0$	$3456$	$0.790493$	$1463340$	$0.92774$	$4.23908$	$[0, 0, 0, -3915, 94230]$	\(y^2=x^3-3915x+94230\)	12.2.0.a.1	$[ ]$	$1$
5400.bl1	5400bj1	5400.bl	5400bj	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 5^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$0.357520827$	$1$		$4$	$1152$	$0.088769$	$2700$	$0.94639$	$2.85846$	$[0, 0, 0, -75, 150]$	\(y^2=x^3-75x+150\)	12.2.0.a.1	$[(-5, 20)]$	$1$
5400.bm1	5400bt1	5400.bm	5400bt	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{10} \cdot 3^{11} \cdot 5^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$6048$	$0.807402$	$-300$	$0.85983$	$3.84782$	$[0, 0, 0, -675, 17550]$	\(y^2=x^3-675x+17550\)	6.2.0.a.1	$[ ]$	$1$
5400.bn1	5400br1	5400.bn	5400br	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$0.688960002$	$1$		$4$	$1920$	$0.437123$	$-3072$	$0.94639$	$3.39431$	$[0, 0, 0, -300, 2500]$	\(y^2=x^3-300x+2500\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(0, 50)]$	$1$
5400.bo1	5400v1	5400.bo	5400v	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$0.948714785$	$1$		$2$	$2016$	$0.258095$	$-300$	$0.85983$	$3.08083$	$[0, 0, 0, -75, -650]$	\(y^2=x^3-75x-650\)	6.2.0.a.1	$[(15, 40)]$	$1$
5400.bp1	5400n1	5400.bp	5400n	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$5760$	$0.986429$	$-3072$	$0.94639$	$4.16131$	$[0, 0, 0, -2700, -67500]$	\(y^2=x^3-2700x-67500\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$
5400.bq1	5400f1	5400.bq	5400f	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$4.193468751$	$1$		$2$	$5040$	$0.656316$	$-325228538880$	$1.13957$	$4.48766$	$[0, 0, 0, -7980, -274380]$	\(y^2=x^3-7980x-274380\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(106, 266)]$	$1$
5400.br1	5400bf1	5400.br	5400bf	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$1$		$0$	$24192$	$1.559696$	$-1568892672/78125$	$1.03660$	$5.07006$	$[0, 0, 0, -41175, 3351375]$	\(y^2=x^3-41175x+3351375\)	30.2.0.a.1	$[ ]$	$1$
5400.bs1	5400bm1	5400.bs	5400bm	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{11} \cdot 3^{9} \cdot 5^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$120$	$2$	$0$	$2.503517166$	$1$		$2$	$2880$	$0.550319$	$1458$	$1.01898$	$3.44714$	$[0, 0, 0, 405, 1350]$	\(y^2=x^3+405x+1350\)	120.2.0.?	$[(10, 80)]$	$1$
5400.bt1	5400h1	5400.bt	5400h	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{11} \cdot 3^{3} \cdot 5^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$120$	$2$	$0$	$1$	$1$		$0$	$960$	$0.001013$	$1458$	$1.01898$	$2.68015$	$[0, 0, 0, 45, -50]$	\(y^2=x^3+45x-50\)	120.2.0.?	$[ ]$	$1$
5400.bu1	5400p1	5400.bu	5400p	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$1$		$0$	$8064$	$1.010391$	$-1568892672/78125$	$1.03660$	$4.30307$	$[0, 0, 0, -4575, -124125]$	\(y^2=x^3-4575x-124125\)	30.2.0.a.1	$[ ]$	$1$
5400.bv1	5400bg1	5400.bv	5400bg	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$15120$	$1.205622$	$-325228538880$	$1.13957$	$5.25466$	$[0, 0, 0, -71820, 7408260]$	\(y^2=x^3-71820x+7408260\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$

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