Elliptic curves over $\Q$ of conductor 4800

Conductor	j-invariant	Rank	Torsion	Complex multiplication
Bad$\ p$	Discriminant	Regulator	Analytic order of Ш	Galois image
Isogeny class size	Isogeny class degree	Cyclic isogeny degree	$p\ $div$\ $|Ш|	Nonmax$\ \ell$
Curves per isogeny class	Reduction	Integral points	Faltings height

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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	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
4800.a1	4800bq1	4800.a	4800bq	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{14} \cdot 3^{7} \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$26880$	$1.508671$	$-8780800/2187$	$[0, -1, 0, -23333, -1632963]$	\(y^2=x^3-x^2-23333x-1632963\)
4800.b1	4800p1	4800.b	4800p	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{14} \cdot 3^{7} \cdot 5^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$5376$	$0.703952$	$-8780800/2187$	$[0, -1, 0, -933, 13437]$	\(y^2=x^3-x^2-933x+13437\)
4800.c1	4800ca2	4800.c	4800ca	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{12} \cdot 3^{4} \cdot 5^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.135	2B	$0.721610669$	$1$		$7$	$3072$	$0.548090$	$2156689088/81$	$[0, -1, 0, -2153, 39177]$	\(y^2=x^3-x^2-2153x+39177\)
4800.c2	4800ca1	4800.c	4800ca	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.131	2B	$1.443221338$	$1$		$5$	$1536$	$0.201517$	$-29218112/6561$	$[0, -1, 0, -128, 702]$	\(y^2=x^3-x^2-128x+702\)
4800.d1	4800bp8	4800.d	4800bp	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{21} \cdot 3^{4} \cdot 5^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.8, 3.4.0.1	2B, 3B	$1$	$1$		$1$	$110592$	$2.408607$	$16778985534208729/81000$	$[0, -1, 0, -8533633, 9597935137]$	\(y^2=x^3-x^2-8533633x+9597935137\)
4800.d2	4800bp7	4800.d	4800bp	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{21} \cdot 3 \cdot 5^{18} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.12, 3.4.0.1	2B, 3B	$1$	$1$		$1$	$110592$	$2.408607$	$10316097499609/5859375000$	$[0, -1, 0, -725633, 32623137]$	\(y^2=x^3-x^2-725633x+32623137\)
4800.d3	4800bp6	4800.d	4800bp	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{24} \cdot 3^{2} \cdot 5^{12} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.1, 3.4.0.1	2Cs, 3B	$1$	$1$		$3$	$55296$	$2.062031$	$4102915888729/9000000$	$[0, -1, 0, -533633, 149935137]$	\(y^2=x^3-x^2-533633x+149935137\)
4800.d4	4800bp4	4800.d	4800bp	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{19} \cdot 3^{3} \cdot 5^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.12, 3.4.0.1	2B, 3B	$1$	$1$		$1$	$36864$	$1.859299$	$2656166199049/33750$	$[0, -1, 0, -461633, -120568863]$	\(y^2=x^3-x^2-461633x-120568863\)
4800.d5	4800bp5	4800.d	4800bp	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{19} \cdot 3^{12} \cdot 5^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.8, 3.4.0.1	2B, 3B	$1$	$1$		$1$	$36864$	$1.859299$	$35578826569/5314410$	$[0, -1, 0, -109633, 12071137]$	\(y^2=x^3-x^2-109633x+12071137\)
4800.d6	4800bp2	4800.d	4800bp	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{20} \cdot 3^{6} \cdot 5^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.1, 3.4.0.1	2Cs, 3B	$1$	$1$		$3$	$18432$	$1.512726$	$702595369/72900$	$[0, -1, 0, -29633, -1768863]$	\(y^2=x^3-x^2-29633x-1768863\)
4800.d7	4800bp3	4800.d	4800bp	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{30} \cdot 3 \cdot 5^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.7, 3.4.0.1	2B, 3B	$1$	$1$		$1$	$27648$	$1.715458$	$-273359449/1536000$	$[0, -1, 0, -21633, 4015137]$	\(y^2=x^3-x^2-21633x+4015137\)
4800.d8	4800bp1	4800.d	4800bp	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{22} \cdot 3^{3} \cdot 5^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.7, 3.4.0.1	2B, 3B	$1$	$1$		$1$	$9216$	$1.166153$	$357911/2160$	$[0, -1, 0, 2367, -136863]$	\(y^2=x^3-x^2+2367x-136863\)
4800.e1	4800bz2	4800.e	4800bz	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{12} \cdot 3^{4} \cdot 5^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.135	2B	$4.534619676$	$1$		$3$	$15360$	$1.352810$	$2156689088/81$	$[0, -1, 0, -53833, -4789463]$	\(y^2=x^3-x^2-53833x-4789463\)
4800.e2	4800bz1	4800.e	4800bz	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.131	2B	$9.069239353$	$1$		$1$	$7680$	$1.006235$	$-29218112/6561$	$[0, -1, 0, -3208, -81338]$	\(y^2=x^3-x^2-3208x-81338\)
4800.f1	4800h3	4800.f	4800h	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{15} \cdot 3 \cdot 5^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$2.297508315$	$1$		$5$	$4096$	$0.725072$	$7301384/3$	$[0, -1, 0, -3233, -69663]$	\(y^2=x^3-x^2-3233x-69663\)
4800.f2	4800h2	4800.f	4800h	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{12} \cdot 3^{2} \cdot 5^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$1.148754157$	$1$		$13$	$2048$	$0.378499$	$21952/9$	$[0, -1, 0, -233, -663]$	\(y^2=x^3-x^2-233x-663\)
4800.f3	4800h1	4800.f	4800h	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{6} \cdot 3 \cdot 5^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$2.297508315$	$1$		$3$	$1024$	$0.031925$	$140608/3$	$[0, -1, 0, -108, 462]$	\(y^2=x^3-x^2-108x+462\)
4800.f4	4800h4	4800.f	4800h	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$2.297508315$	$1$		$5$	$4096$	$0.725072$	$97336/81$	$[0, -1, 0, 767, -5663]$	\(y^2=x^3-x^2+767x-5663\)
4800.g1	4800bx1	4800.g	4800bx	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{6} \cdot 3^{11} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4.516361456$	$1$		$2$	$10560$	$1.106968$	$-5624320/177147$	$[0, -1, 0, -1083, 102537]$	\(y^2=x^3-x^2-1083x+102537\)
4800.h1	4800n1	4800.h	4800n	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{6} \cdot 3^{5} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$1$	$1$		$0$	$4800$	$0.823622$	$-425920000/243$	$[0, -1, 0, -4583, -117963]$	\(y^2=x^3-x^2-4583x-117963\)
4800.i1	4800f1	4800.i	4800f	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{6} \cdot 3^{5} \cdot 5^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$1.004232735$	$1$		$2$	$960$	$0.018903$	$-425920000/243$	$[0, -1, 0, -183, 1017]$	\(y^2=x^3-x^2-183x+1017\)
4800.j1	4800bm1	4800.j	4800bm	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{6} \cdot 3^{11} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$2112$	$0.302250$	$-5624320/177147$	$[0, -1, 0, -43, -803]$	\(y^2=x^3-x^2-43x-803\)
4800.k1	4800k2	4800.k	4800k	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{17} \cdot 3^{6} \cdot 5^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$15360$	$1.439493$	$2060602/729$	$[0, -1, 0, -16833, -518463]$	\(y^2=x^3-x^2-16833x-518463\)
4800.k2	4800k1	4800.k	4800k	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{16} \cdot 3^{3} \cdot 5^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$7680$	$1.092920$	$27436/27$	$[0, -1, 0, 3167, -58463]$	\(y^2=x^3-x^2+3167x-58463\)
4800.l1	4800l4	4800.l	4800l	$4$	$10$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{23} \cdot 3^{10} \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$1$	$1$		$1$	$15360$	$1.505743$	$502270291349/1889568$	$[0, -1, 0, -52993, 4697857]$	\(y^2=x^3-x^2-52993x+4697857\)
4800.l2	4800l2	4800.l	4800l	$4$	$10$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{19} \cdot 3^{2} \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$1$	$1$		$1$	$3072$	$0.701023$	$131872229/18$	$[0, -1, 0, -3393, -74943]$	\(y^2=x^3-x^2-3393x-74943\)
4800.l3	4800l3	4800.l	4800l	$4$	$10$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{28} \cdot 3^{5} \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$1$	$1$		$1$	$7680$	$1.159168$	$-19465109/248832$	$[0, -1, 0, -1793, 141057]$	\(y^2=x^3-x^2-1793x+141057\)
4800.l4	4800l1	4800.l	4800l	$4$	$10$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{20} \cdot 3 \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$1$	$1$		$1$	$1536$	$0.354450$	$-24389/12$	$[0, -1, 0, -193, -1343]$	\(y^2=x^3-x^2-193x-1343\)
4800.m1	4800bv4	4800.m	4800bv	$4$	$10$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{23} \cdot 3^{10} \cdot 5^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$5.290117230$	$1$		$3$	$76800$	$2.310463$	$502270291349/1889568$	$[0, -1, 0, -1324833, -584582463]$	\(y^2=x^3-x^2-1324833x-584582463\)
4800.m2	4800bv2	4800.m	4800bv	$4$	$10$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{19} \cdot 3^{2} \cdot 5^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$1.058023446$	$1$		$7$	$15360$	$1.505743$	$131872229/18$	$[0, -1, 0, -84833, 9537537]$	\(y^2=x^3-x^2-84833x+9537537\)
4800.m3	4800bv3	4800.m	4800bv	$4$	$10$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{28} \cdot 3^{5} \cdot 5^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$10.58023446$	$1$		$1$	$38400$	$1.963888$	$-19465109/248832$	$[0, -1, 0, -44833, -17542463]$	\(y^2=x^3-x^2-44833x-17542463\)
4800.m4	4800bv1	4800.m	4800bv	$4$	$10$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{20} \cdot 3 \cdot 5^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$2.116046892$	$1$		$5$	$7680$	$1.159168$	$-24389/12$	$[0, -1, 0, -4833, 177537]$	\(y^2=x^3-x^2-4833x+177537\)
4800.n1	4800bu2	4800.n	4800bu	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{17} \cdot 3^{6} \cdot 5^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.664938096$	$1$		$7$	$3072$	$0.634774$	$2060602/729$	$[0, -1, 0, -673, 4417]$	\(y^2=x^3-x^2-673x+4417\)
4800.n2	4800bu1	4800.n	4800bu	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{16} \cdot 3^{3} \cdot 5^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.329876192$	$1$		$5$	$1536$	$0.288201$	$27436/27$	$[0, -1, 0, 127, 417]$	\(y^2=x^3-x^2+127x+417\)
4800.o1	4800j2	4800.o	4800j	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{14} \cdot 3 \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1$	$1$		$0$	$17280$	$1.406509$	$-30866268160/3$	$[0, -1, 0, -121333, -16226963]$	\(y^2=x^3-x^2-121333x-16226963\)
4800.o2	4800j1	4800.o	4800j	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1$	$1$		$0$	$5760$	$0.857203$	$-40960/27$	$[0, -1, 0, -1333, -26963]$	\(y^2=x^3-x^2-1333x-26963\)
4800.p1	4800bk2	4800.p	4800bk	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{14} \cdot 3 \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1$	$1$		$0$	$3456$	$0.601790$	$-30866268160/3$	$[0, -1, 0, -4853, 131757]$	\(y^2=x^3-x^2-4853x+131757\)
4800.p2	4800bk1	4800.p	4800bk	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1$	$1$		$0$	$1152$	$0.052484$	$-40960/27$	$[0, -1, 0, -53, 237]$	\(y^2=x^3-x^2-53x+237\)
4800.q1	4800c5	4800.q	4800c	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{17} \cdot 3^{2} \cdot 5^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.210	2B	$4.499646092$	$1$		$3$	$8192$	$1.199087$	$3065617154/9$	$[0, -1, 0, -38433, -2887263]$	\(y^2=x^3-x^2-38433x-2887263\)
4800.q2	4800c4	4800.q	4800c	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{16} \cdot 3 \cdot 5^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.127	2B	$2.249823046$	$1$		$5$	$4096$	$0.852514$	$28756228/3$	$[0, -1, 0, -6433, 200737]$	\(y^2=x^3-x^2-6433x+200737\)
4800.q3	4800c3	4800.q	4800c	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{16} \cdot 3^{4} \cdot 5^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.88	2Cs	$2.249823046$	$1$		$9$	$4096$	$0.852514$	$1556068/81$	$[0, -1, 0, -2433, -43263]$	\(y^2=x^3-x^2-2433x-43263\)
4800.q4	4800c2	4800.q	4800c	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 5^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.138	2Cs	$1.124911523$	$1$		$11$	$2048$	$0.505940$	$35152/9$	$[0, -1, 0, -433, 2737]$	\(y^2=x^3-x^2-433x+2737\)
4800.q5	4800c1	4800.q	4800c	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{10} \cdot 3 \cdot 5^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.150	2B	$2.249823046$	$1$		$3$	$1024$	$0.159367$	$2048/3$	$[0, -1, 0, 67, 237]$	\(y^2=x^3-x^2+67x+237\)
4800.q6	4800c6	4800.q	4800c	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{17} \cdot 3^{8} \cdot 5^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.218	2B	$4.499646092$	$1$		$3$	$8192$	$1.199087$	$207646/6561$	$[0, -1, 0, 1567, -175263]$	\(y^2=x^3-x^2+1567x-175263\)
4800.r1	4800bi5	4800.r	4800bi	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{17} \cdot 3 \cdot 5^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.177	2B	$1$	$1$		$1$	$24576$	$1.631292$	$1770025017602/75$	$[0, -1, 0, -320033, 69791937]$	\(y^2=x^3-x^2-320033x+69791937\)
4800.r2	4800bi3	4800.r	4800bi	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{16} \cdot 3^{2} \cdot 5^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.107	2Cs	$1$	$1$		$3$	$12288$	$1.284718$	$868327204/5625$	$[0, -1, 0, -20033, 1091937]$	\(y^2=x^3-x^2-20033x+1091937\)
4800.r3	4800bi6	4800.r	4800bi	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{17} \cdot 3 \cdot 5^{14} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.152	2B	$1$	$1$		$1$	$24576$	$1.631292$	$-27995042/1171875$	$[0, -1, 0, -8033, 2375937]$	\(y^2=x^3-x^2-8033x+2375937\)
4800.r4	4800bi2	4800.r	4800bi	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{14} \cdot 3^{4} \cdot 5^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.117	2Cs	$1$	$1$		$3$	$6144$	$0.938145$	$3631696/2025$	$[0, -1, 0, -2033, -6063]$	\(y^2=x^3-x^2-2033x-6063\)
4800.r5	4800bi1	4800.r	4800bi	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 5^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.190	2B	$1$	$1$		$1$	$3072$	$0.591571$	$24918016/45$	$[0, -1, 0, -1533, -22563]$	\(y^2=x^3-x^2-1533x-22563\)
4800.r6	4800bi4	4800.r	4800bi	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( - 2^{16} \cdot 3^{8} \cdot 5^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.229	2B	$1$	$1$		$1$	$12288$	$1.284718$	$54607676/32805$	$[0, -1, 0, 7967, -56063]$	\(y^2=x^3-x^2+7967x-56063\)