Elliptic curves over $\Q$ of conductor 6720

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
6720.a1	6720bj3	6720.a	6720bj	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{15} \cdot 3 \cdot 5 \cdot 7 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$4.237719972$	$1$		$11$	$6144$	$0.610159$	$303735479048/105$	$[0, -1, 0, -4481, 116961]$	\(y^2=x^3-x^2-4481x+116961\)
6720.a2	6720bj2	6720.a	6720bj	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1.059429993$	$1$		$35$	$3072$	$0.263586$	$601211584/11025$	$[0, -1, 0, -281, 1881]$	\(y^2=x^3-x^2-281x+1881\)
6720.a3	6720bj1	6720.a	6720bj	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$4.237719972$	$1$		$5$	$1536$	$-0.082988$	$82881856/36015$	$[0, -1, 0, -36, -30]$	\(y^2=x^3-x^2-36x-30\)
6720.a4	6720bj4	6720.a	6720bj	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{4} \cdot 7 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1.059429993$	$1$		$21$	$6144$	$0.610159$	$-8/354375$	$[0, -1, 0, -1, 5185]$	\(y^2=x^3-x^2-x+5185\)
6720.b1	6720e4	6720.b	6720e	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{16} \cdot 3^{2} \cdot 5 \cdot 7 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.97	2B	$1.955123972$	$1$		$5$	$8192$	$0.981910$	$32779037733124/315$	$[0, -1, 0, -26881, 1705345]$	\(y^2=x^3-x^2-26881x+1705345\)
6720.b2	6720e5	6720.b	6720e	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{17} \cdot 3 \cdot 5^{8} \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.95	2B	$3.910247944$	$1$		$5$	$16384$	$1.328484$	$14695548366242/57421875$	$[0, -1, 0, -25921, -1592255]$	\(y^2=x^3-x^2-25921x-1592255\)
6720.b3	6720e3	6720.b	6720e	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.20	2Cs	$1.955123972$	$1$		$11$	$8192$	$0.981910$	$23366901604/13505625$	$[0, -1, 0, -2401, 2401]$	\(y^2=x^3-x^2-2401x+2401\)
6720.b4	6720e2	6720.b	6720e	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.21	2Cs	$0.977561986$	$1$		$13$	$4096$	$0.635336$	$32082281296/99225$	$[0, -1, 0, -1681, 27025]$	\(y^2=x^3-x^2-1681x+27025\)
6720.b5	6720e1	6720.b	6720e	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{10} \cdot 3^{8} \cdot 5 \cdot 7 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.97	2B	$1.955123972$	$1$		$3$	$2048$	$0.288763$	$-24918016/229635$	$[0, -1, 0, -61, 781]$	\(y^2=x^3-x^2-61x+781\)
6720.b6	6720e6	6720.b	6720e	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{17} \cdot 3 \cdot 5^{2} \cdot 7^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.95	2B	$3.910247944$	$1$		$5$	$16384$	$1.328484$	$746185003198/432360075$	$[0, -1, 0, 9599, 9601]$	\(y^2=x^3-x^2+9599x+9601\)
6720.c1	6720bi3	6720.c	6720bi	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{15} \cdot 3^{7} \cdot 5^{4} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1$	$36$	$2, 3$	$1$	$860160$	$3.106560$	$229625675762164624948320008/9568125$	$[0, -1, 0, -408240001, -3174701034815]$	\(y^2=x^3-x^2-408240001x-3174701034815\)
6720.c2	6720bi2	6720.c	6720bi	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{12} \cdot 3^{14} \cdot 5^{8} \cdot 7^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1$	$9$	$3$	$3$	$430080$	$2.759987$	$448487713888272974160064/91549016015625$	$[0, -1, 0, -25515001, -49598319815]$	\(y^2=x^3-x^2-25515001x-49598319815\)
6720.c3	6720bi4	6720.c	6720bi	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{15} \cdot 3^{7} \cdot 5^{16} \cdot 7^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1$	$9$	$3$	$1$	$860160$	$3.106560$	$-55486311952875723077768/801237030029296875$	$[0, -1, 0, -25427521, -49955395679]$	\(y^2=x^3-x^2-25427521x-49955395679\)
6720.c4	6720bi1	6720.c	6720bi	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{6} \cdot 3^{28} \cdot 5^{4} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1$	$9$	$3$	$1$	$215040$	$2.413414$	$7079962908642659949376/100085966990454375$	$[0, -1, 0, -1600156, -768989294]$	\(y^2=x^3-x^2-1600156x-768989294\)
6720.d1	6720bf1	6720.d	6720bf	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{10} \cdot 3^{5} \cdot 5^{2} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$3840$	$0.557467$	$1248870793216/42525$	$[0, -1, 0, -2261, -40635]$	\(y^2=x^3-x^2-2261x-40635\)
6720.d2	6720bf2	6720.d	6720bf	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{14} \cdot 3^{10} \cdot 5 \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$7680$	$0.904040$	$-68150496976/14467005$	$[0, -1, 0, -2161, -44495]$	\(y^2=x^3-x^2-2161x-44495\)
6720.e1	6720b1	6720.e	6720b	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{10} \cdot 3 \cdot 5^{2} \cdot 7 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.126425553$	$1$		$5$	$768$	$-0.207640$	$1048576/525$	$[0, -1, 0, -21, 21]$	\(y^2=x^3-x^2-21x+21\)
6720.e2	6720b2	6720.e	6720b	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{14} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.563212776$	$1$		$9$	$1536$	$0.138933$	$3286064/2205$	$[0, -1, 0, 79, 81]$	\(y^2=x^3-x^2+79x+81\)
6720.f1	6720be2	6720.f	6720be	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$4608$	$0.653162$	$16079333824/2953125$	$[0, -1, 0, -841, 8041]$	\(y^2=x^3-x^2-841x+8041\)
6720.f2	6720be1	6720.f	6720be	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$2304$	$0.306589$	$1925134784/4465125$	$[0, -1, 0, 104, 670]$	\(y^2=x^3-x^2+104x+670\)
6720.g1	6720a3	6720.g	6720a	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{15} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$4.828119405$	$1$		$3$	$12288$	$1.276119$	$608119035935048/826875$	$[0, -1, 0, -56481, -5147775]$	\(y^2=x^3-x^2-56481x-5147775\)
6720.g2	6720a4	6720.g	6720a	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{15} \cdot 3^{3} \cdot 5 \cdot 7^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$4.828119405$	$1$		$3$	$12288$	$1.276119$	$2428799546888/778248135$	$[0, -1, 0, -8961, 221121]$	\(y^2=x^3-x^2-8961x+221121\)
6720.g3	6720a2	6720.g	6720a	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$2.414059702$	$1$		$9$	$6144$	$0.929545$	$1219555693504/43758225$	$[0, -1, 0, -3561, -78039]$	\(y^2=x^3-x^2-3561x-78039\)
6720.g4	6720a1	6720.g	6720a	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$4.828119405$	$1$		$3$	$3072$	$0.582972$	$1012048064/130203045$	$[0, -1, 0, 84, -4410]$	\(y^2=x^3-x^2+84x-4410\)
6720.h1	6720bh5	6720.h	6720bh	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{17} \cdot 3^{4} \cdot 5^{8} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.219	2B	$1$	$1$		$1$	$32768$	$1.564323$	$784478485879202/221484375$	$[0, -1, 0, -97601, 11765985]$	\(y^2=x^3-x^2-97601x+11765985\)
6720.h2	6720bh3	6720.h	6720bh	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.85	2Cs	$1$	$1$		$3$	$16384$	$1.217749$	$549871953124/200930625$	$[0, -1, 0, -6881, 135681]$	\(y^2=x^3-x^2-6881x+135681\)
6720.h3	6720bh2	6720.h	6720bh	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.130	2Cs	$1$	$1$		$3$	$8192$	$0.871176$	$175293437776/4862025$	$[0, -1, 0, -2961, -59535]$	\(y^2=x^3-x^2-2961x-59535\)
6720.h4	6720bh1	6720.h	6720bh	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.185	2B	$1$	$1$		$1$	$4096$	$0.524602$	$2748251600896/2205$	$[0, -1, 0, -2941, -60419]$	\(y^2=x^3-x^2-2941x-60419\)
6720.h5	6720bh4	6720.h	6720bh	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{16} \cdot 3^{2} \cdot 5 \cdot 7^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.225	2B	$1$	$1$		$1$	$16384$	$1.217749$	$439608956/259416045$	$[0, -1, 0, 639, -198495]$	\(y^2=x^3-x^2+639x-198495\)
6720.h6	6720bh6	6720.h	6720bh	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{17} \cdot 3^{16} \cdot 5^{2} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.192	2B	$1$	$1$		$1$	$32768$	$1.564323$	$7947184069438/7533176175$	$[0, -1, 0, 21119, 936481]$	\(y^2=x^3-x^2+21119x+936481\)
6720.i1	6720d4	6720.i	6720d	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{15} \cdot 3^{2} \cdot 5^{4} \cdot 7 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$0.542099284$	$1$		$11$	$4096$	$0.693764$	$68017239368/39375$	$[0, -1, 0, -2721, 55521]$	\(y^2=x^3-x^2-2721x+55521\)
6720.i2	6720d3	6720.i	6720d	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{15} \cdot 3^{8} \cdot 5 \cdot 7 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$2.168397137$	$1$		$5$	$4096$	$0.693764$	$13858588808/229635$	$[0, -1, 0, -1601, -23775]$	\(y^2=x^3-x^2-1601x-23775\)
6720.i3	6720d2	6720.i	6720d	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1.084198568$	$1$		$11$	$2048$	$0.347190$	$220348864/99225$	$[0, -1, 0, -201, 585]$	\(y^2=x^3-x^2-201x+585\)
6720.i4	6720d1	6720.i	6720d	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$2.168397137$	$1$		$3$	$1024$	$0.000616$	$143877824/108045$	$[0, -1, 0, 44, 46]$	\(y^2=x^3-x^2+44x+46\)
6720.j1	6720c7	6720.j	6720c	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{19} \cdot 3 \cdot 5^{2} \cdot 7^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.279	2B	$36.14462472$	$1$		$1$	$393216$	$2.834148$	$783736670177727068275201/360150$	$[0, -1, 0, -122931201, -524574745599]$	\(y^2=x^3-x^2-122931201x-524574745599\)
6720.j2	6720c5	6720.j	6720c	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.153	2Cs	$18.07231236$	$1$		$3$	$196608$	$2.487576$	$191342053882402567201/129708022500$	$[0, -1, 0, -7683201, -8194556799]$	\(y^2=x^3-x^2-7683201x-8194556799\)
6720.j3	6720c8	6720.j	6720c	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{19} \cdot 3 \cdot 5^{2} \cdot 7^{16} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.279	2B	$36.14462472$	$1$		$1$	$393216$	$2.834148$	$-187778242790732059201/4984939585440150$	$[0, -1, 0, -7635201, -8302047999]$	\(y^2=x^3-x^2-7635201x-8302047999\)
6720.j4	6720c4	6720.j	6720c	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{22} \cdot 3^{16} \cdot 5^{2} \cdot 7 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.253	2B	$2.259039045$	$1$		$3$	$98304$	$2.141003$	$378499465220294881/120530818800$	$[0, -1, 0, -964481, 364797825]$	\(y^2=x^3-x^2-964481x+364797825\)
6720.j5	6720c3	6720.j	6720c	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{22} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.88	2Cs	$9.036156180$	$1$		$3$	$98304$	$2.141003$	$47595748626367201/1215506250000$	$[0, -1, 0, -483201, -126236799]$	\(y^2=x^3-x^2-483201x-126236799\)
6720.j6	6720c2	6720.j	6720c	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{26} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.130	2Cs	$4.518078090$	$1$		$7$	$49152$	$1.794430$	$135487869158881/51438240000$	$[0, -1, 0, -68481, 4068225]$	\(y^2=x^3-x^2-68481x+4068225\)
6720.j7	6720c1	6720.j	6720c	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{34} \cdot 3^{4} \cdot 5^{2} \cdot 7 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.253	2B	$2.259039045$	$1$		$5$	$24576$	$1.447855$	$1023887723039/928972800$	$[0, -1, 0, 13439, 447361]$	\(y^2=x^3-x^2+13439x+447361\)
6720.j8	6720c6	6720.j	6720c	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{20} \cdot 3^{2} \cdot 5^{16} \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.188	2B	$4.518078090$	$1$		$3$	$196608$	$2.487576$	$226523624554079/269165039062500$	$[0, -1, 0, 81279, -404073855]$	\(y^2=x^3-x^2+81279x-404073855\)
6720.k1	6720bg5	6720.k	6720bg	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{19} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.192	2B	$1$	$1$		$1$	$49152$	$1.776478$	$524388516989299201/3150$	$[0, -1, 0, -1075201, 429482401]$	\(y^2=x^3-x^2-1075201x+429482401\)
6720.k2	6720bg4	6720.k	6720bg	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{20} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.85	2Cs	$1$	$1$		$3$	$24576$	$1.429905$	$128031684631201/9922500$	$[0, -1, 0, -67201, 6727201]$	\(y^2=x^3-x^2-67201x+6727201\)
6720.k3	6720bg6	6720.k	6720bg	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{19} \cdot 3^{8} \cdot 5^{8} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.219	2B	$1$	$1$		$1$	$49152$	$1.776478$	$-104094944089921/35880468750$	$[0, -1, 0, -62721, 7658145]$	\(y^2=x^3-x^2-62721x+7658145\)
6720.k4	6720bg3	6720.k	6720bg	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{20} \cdot 3 \cdot 5 \cdot 7^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.225	2B	$1$	$4$	$2$	$1$	$24576$	$1.429905$	$5602762882081/345888060$	$[0, -1, 0, -23681, -1317855]$	\(y^2=x^3-x^2-23681x-1317855\)
6720.k5	6720bg2	6720.k	6720bg	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{22} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.130	2Cs	$1$	$1$		$3$	$12288$	$1.083330$	$37966934881/8643600$	$[0, -1, 0, -4481, 91425]$	\(y^2=x^3-x^2-4481x+91425\)
6720.k6	6720bg1	6720.k	6720bg	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{26} \cdot 3 \cdot 5 \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.185	2B	$1$	$1$		$1$	$6144$	$0.736757$	$109902239/188160$	$[0, -1, 0, 639, 8481]$	\(y^2=x^3-x^2+639x+8481\)
6720.l1	6720bk2	6720.l	6720bk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( 2^{12} \cdot 3 \cdot 5^{2} \cdot 7^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$7680$	$0.729763$	$4446542056384/25725$	$[0, -1, 0, -5481, 158025]$	\(y^2=x^3-x^2-5481x+158025\)
6720.l2	6720bk1	6720.l	6720bk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \)	\( - 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$3840$	$0.383189$	$-65743598656/5294205$	$[0, -1, 0, -336, 2646]$	\(y^2=x^3-x^2-336x+2646\)