Elliptic curve search results

Results (26 matches)

 

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
2730.o6	2730n2	2730.o	2730n	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.6.0.1, 3.8.0.1	2Cs, 3B.1.1	$5460$	$384$	$5$	$1$	$1$		$10$	$13824$	$1.442047$	$26031421522845051769/5797789779600$	$0.98980$	$5.65034$	$[1, 0, 1, -61744, 5898926]$	\(y^2+xy+y=x^3-61744x+5898926\)	2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 12.96.0-12.a.2.13, 52.12.0-2.a.1.1, $\ldots$	$[]$
8190.bx6	8190bv2	8190.bx	8190bv	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.8.0.2	2Cs, 3B.1.2	$5460$	$384$	$5$	$1$	$1$		$2$	$110592$	$1.991354$	$26031421522845051769/5797789779600$	$0.98980$	$5.69297$	$[1, -1, 1, -555692, -159271009]$	\(y^2+xy+y=x^3-x^2-555692x-159271009\)	2.6.0.a.1, 3.8.0-3.a.1.1, 4.12.0-2.a.1.1, 6.48.0-6.a.1.2, 12.96.0-12.a.2.15, $\ldots$	$[]$
13650.bs6	13650bq2	13650.bs	13650bq	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$1$	$1$		$2$	$331776$	$2.246765$	$26031421522845051769/5797789779600$	$0.98980$	$5.70945$	$[1, 1, 1, -1543588, 737365781]$	\(y^2+xy+y=x^3+x^2-1543588x+737365781\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 15.8.0-3.a.1.2, $\ldots$	$[]$
19110.m6	19110j2	19110.m	19110j	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{12} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$7.791988591$	$1$		$4$	$663552$	$2.415001$	$26031421522845051769/5797789779600$	$0.98980$	$5.71936$	$[1, 1, 0, -3025432, -2026357136]$	\(y^2+xy=x^3+x^2-3025432x-2026357136\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 20.12.0-2.a.1.1, $\ldots$	$[(100423, 31768816)]$
21840.f6	21840bd2	21840.f	21840bd	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$6.017305283$	$1$		$5$	$331776$	$2.135193$	$26031421522845051769/5797789779600$	$0.98980$	$5.30687$	$[0, -1, 0, -987896, -377531280]$	\(y^2=x^3-x^2-987896x-377531280\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.2.7, 52.12.0-2.a.1.1, $\ldots$	$[(33818, 6216210)]$
35490.dm6	35490dl2	35490.dm	35490dl	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$1$	$1$		$2$	$2322432$	$2.724522$	$26031421522845051769/5797789779600$	$0.98980$	$5.73595$	$[1, 0, 0, -10434655, 12970375625]$	\(y^2+xy=x^3-10434655x+12970375625\)	2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.2.12, $\ldots$	$[]$
40950.r6	40950r2	40950.r	40950r	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{8} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$1$	$1$		$2$	$2654208$	$2.796074$	$26031421522845051769/5797789779600$	$0.98980$	$5.73950$	$[1, -1, 0, -13892292, -19922768384]$	\(y^2+xy=x^3-x^2-13892292x-19922768384\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 15.8.0-3.a.1.1, $\ldots$	$[]$
57330.dn6	57330du2	57330.dn	57330du	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 7^{12} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$1$	$1$		$2$	$5308416$	$2.964310$	$26031421522845051769/5797789779600$	$0.98980$	$5.74750$	$[1, -1, 1, -27228893, 54684413781]$	\(y^2+xy+y=x^3-x^2-27228893x+54684413781\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 21.8.0-3.a.1.2, $\ldots$	$[]$
65520.cv6	65520du2	65520.cv	65520du	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$4.180391412$	$1$		$7$	$2654208$	$2.684502$	$26031421522845051769/5797789779600$	$0.98980$	$5.37553$	$[0, 0, 0, -8891067, 10202235626]$	\(y^2=x^3-8891067x+10202235626\)	2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.2.5, $\ldots$	$[(-2633, 123930)]$
87360.da6	87360bh2	87360.da	87360bh	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{22} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$10920$	$384$	$5$	$1.949022345$	$1$		$9$	$2654208$	$2.481770$	$26031421522845051769/5797789779600$	$0.98980$	$5.02580$	$[0, -1, 0, -3951585, 3024201825]$	\(y^2=x^3-x^2-3951585x+3024201825\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.0-12.a.2.8, $\ldots$	$[(1107, 2268)]$
87360.fv6	87360gr2	87360.fv	87360gr	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{22} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$10920$	$384$	$5$	$1$	$1$		$3$	$2654208$	$2.481770$	$26031421522845051769/5797789779600$	$0.98980$	$5.02580$	$[0, 1, 0, -3951585, -3024201825]$	\(y^2=x^3+x^2-3951585x-3024201825\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.0-12.a.2.14, $\ldots$	$[]$
95550.ka6	95550jx2	95550.ka	95550jx	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{12} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$5.408327283$	$1$		$6$	$15925248$	$3.219723$	$26031421522845051769/5797789779600$	$0.98980$	$5.75875$	$[1, 0, 0, -75635813, -253143370383]$	\(y^2+xy=x^3-75635813x-253143370383\)	2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.2.11, $\ldots$	$[(16792, 1783729)]$
106470.p6	106470w2	106470.p	106470w	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 13^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$1$	$4$	$2$	$2$	$18579456$	$3.273827$	$26031421522845051769/5797789779600$	$0.98980$	$5.76101$	$[1, -1, 0, -93911895, -350200141875]$	\(y^2+xy=x^3-x^2-93911895x-350200141875\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.2.10, 39.8.0-3.a.1.2, $\ldots$	$[]$
109200.gk6	109200fy2	109200.gk	109200fy	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$1$	$1$		$3$	$7962624$	$2.939915$	$26031421522845051769/5797789779600$	$0.98980$	$5.40303$	$[0, 1, 0, -24697408, -47240804812]$	\(y^2=x^3+x^2-24697408x-47240804812\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 28.12.0-2.a.1.1, $\ldots$	$[]$
152880.hj6	152880bb2	152880.hj	152880bb	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 7^{12} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$3.166238735$	$1$		$9$	$15925248$	$3.108150$	$26031421522845051769/5797789779600$	$0.98980$	$5.41986$	$[0, 1, 0, -48406920, 129590042868]$	\(y^2=x^3+x^2-48406920x+129590042868\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 20.12.0-2.a.1.1, $\ldots$	$[(3966, 2400)]$
177450.cc6	177450ja2	177450.cc	177450ja	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 13^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$1$	$1$		$2$	$55738368$	$3.529240$	$26031421522845051769/5797789779600$	$0.98980$	$5.77111$	$[1, 1, 0, -260866375, 1621296953125]$	\(y^2+xy=x^3+x^2-260866375x+1621296953125\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 20.12.0-2.a.1.1, $\ldots$	$[]$
248430.ge6	248430ge2	248430.ge	248430ge	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{12} \cdot 13^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$20.97742036$	$1$		$2$	$111476736$	$3.697475$	$26031421522845051769/5797789779600$	$0.98980$	$5.77731$	$[1, 1, 1, -511298096, -4449350137471]$	\(y^2+xy+y=x^3+x^2-511298096x-4449350137471\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 28.12.0-2.a.1.1, $\ldots$	$[(202568564147/2453, 59694135803012389/2453)]$
262080.bt6	262080bt2	262080.bt	262080bt	$8$	$12$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{22} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.1, 3.4.0.1	2Cs, 3B	$10920$	$384$	$5$	$5.314676805$	$1$		$7$	$21233664$	$3.031075$	$26031421522845051769/5797789779600$	$0.98980$	$5.11158$	$[0, 0, 0, -35564268, 81617885008]$	\(y^2=x^3-35564268x+81617885008\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 12.48.0.a.2, $\ldots$	$[(-6118, 264960)]$
262080.fm6	262080fm2	262080.fm	262080fm	$8$	$12$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{22} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.1, 3.4.0.1	2Cs, 3B	$10920$	$384$	$5$	$5.625794957$	$1$		$5$	$21233664$	$3.031075$	$26031421522845051769/5797789779600$	$0.98980$	$5.11158$	$[0, 0, 0, -35564268, -81617885008]$	\(y^2=x^3-35564268x-81617885008\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 12.48.0.a.2, $\ldots$	$[(75493, 20675655)]$
283920.dl6	283920dl2	283920.dl	283920dl	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$1$	$1$		$3$	$55738368$	$3.417667$	$26031421522845051769/5797789779600$	$0.98980$	$5.44846$	$[0, -1, 0, -166954480, -830104040000]$	\(y^2=x^3-x^2-166954480x-830104040000\)	2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.2.2, $\ldots$	$[]$
286650.et6	286650et2	286650.et	286650et	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{8} \cdot 7^{12} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$1$	$1$		$2$	$127401984$	$3.769028$	$26031421522845051769/5797789779600$	$0.98980$	$5.77984$	$[1, -1, 0, -680722317, 6834871000341]$	\(y^2+xy=x^3-x^2-680722317x+6834871000341\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.2.9, 52.12.0-2.a.1.2, $\ldots$	$[]$
327600.ka6	327600ka2	327600.ka	327600ka	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 3^{12} \cdot 5^{8} \cdot 7^{6} \cdot 13^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$3.532700788$	$1$		$29$	$63700992$	$3.489220$	$26031421522845051769/5797789779600$	$0.98980$	$5.45467$	$[0, 0, 0, -222276675, 1275279453250]$	\(y^2=x^3-222276675x+1275279453250\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 20.12.0-2.a.1.1, $\ldots$	$[(6599, 309582), (8055, 86450)]$
330330.fp6	330330fp2	330330.fp	330330fp	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 11^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$60060$	$384$	$5$	$1$	$1$		$2$	$19906560$	$2.640995$	$26031421522845051769/5797789779600$	$0.98980$	$4.65014$	$[1, 0, 0, -7470966, -7858941804]$	\(y^2+xy=x^3-7470966x-7858941804\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 33.8.0-3.a.1.2, $\ldots$	$[]$
436800.io6	436800io2	436800.io	436800io	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{22} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$10920$	$384$	$5$	$1$	$1$		$3$	$63700992$	$3.286488$	$26031421522845051769/5797789779600$	$0.98980$	$5.14653$	$[0, -1, 0, -98789633, -377827648863]$	\(y^2=x^3-x^2-98789633x-377827648863\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 56.12.0-2.a.1.1, $\ldots$	$[]$
436800.nj6	436800nj2	436800.nj	436800nj	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{22} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$10920$	$384$	$5$	$4.279316673$	$1$		$5$	$63700992$	$3.286488$	$26031421522845051769/5797789779600$	$0.98980$	$5.14653$	$[0, 1, 0, -98789633, 377827648863]$	\(y^2=x^3+x^2-98789633x+377827648863\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 56.12.0-2.a.1.1, $\ldots$	$[(7273, 210000)]$
458640.cn6	458640cn2	458640.cn	458640cn	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{16} \cdot 3^{12} \cdot 5^{2} \cdot 7^{12} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$1$	$1$		$3$	$127401984$	$3.657455$	$26031421522845051769/5797789779600$	$0.98980$	$5.46875$	$[0, 0, 0, -435662283, -3499366819718]$	\(y^2=x^3-435662283x-3499366819718\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 28.12.0-2.a.1.1, $\ldots$	$[]$