Elliptic curves over $\Q$ of conductor 458640

Results (1-50 of 786 matches)

  Download displayed columns for results to

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
458640.a1	458640a1	458640.a	458640a	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{34} \cdot 3^{6} \cdot 5 \cdot 7^{8} \cdot 13^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$194641920$	$3.753460$	$4307585705106105969/381542350192640$	$1.01074$	$5.33075$	$[0, 0, 0, -239182083, -1310292418302]$	\(y^2=x^3-239182083x-1310292418302\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
458640.a2	458640a2	458640.a	458640a	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{23} \cdot 3^{6} \cdot 5^{2} \cdot 7^{7} \cdot 13^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$389283840$	$4.100037$	$5964709808210123151/49408483478681600$	$1.10238$	$5.55431$	$[0, 0, 0, 266591997, -6113224236798]$	\(y^2=x^3+266591997x-6113224236798\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[ ]$
458640.b1	458640b2	458640.b	458640b	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1820$	$12$	$0$	$1$	$1$		$1$	$3612672$	$1.752193$	$4812208/845$	$0.73040$	$3.45479$	$[0, 0, 0, -68943, -5815222]$	\(y^2=x^3-68943x-5815222\)	2.3.0.a.1, 140.6.0.?, 260.6.0.?, 364.6.0.?, 1820.12.0.?	$[ ]$
458640.b2	458640b1	458640.b	458640b	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1820$	$12$	$0$	$1$	$1$		$1$	$1806336$	$1.405621$	$131072/325$	$0.80025$	$3.05693$	$[0, 0, 0, 8232, -521017]$	\(y^2=x^3+8232x-521017\)	2.3.0.a.1, 140.6.0.?, 182.6.0.?, 260.6.0.?, 1820.12.0.?	$[ ]$
458640.c1	458640c2	458640.c	458640c	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 7^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$4.516389725$	$1$		$3$	$3538944$	$1.751451$	$98055792/8125$	$1.02576$	$3.49103$	$[0, 0, 0, -80703, 8168202]$	\(y^2=x^3-80703x+8168202\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(-306, 2052)]$
458640.c2	458640c1	458640.c	458640c	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.258194862$	$1$		$3$	$1769472$	$1.404879$	$442368/4225$	$1.05520$	$3.07429$	$[0, 0, 0, 5292, 583443]$	\(y^2=x^3+5292x+583443\)	2.3.0.a.1, 6.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[(49, 980)]$
458640.d1	458640d5	458640.d	458640d	$6$	$18$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{30} \cdot 3^{7} \cdot 5^{9} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$1$		$1$	$429981696$	$4.248672$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.07283$	$[0, 0, 0, -6013641963, 179491755859738]$	\(y^2=x^3-6013641963x+179491755859738\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
458640.d2	458640d6	458640.d	458640d	$6$	$18$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{8} \cdot 5^{18} \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$1$		$1$	$859963392$	$4.595245$	$-60752633741424905775769/11197265625000000000$	$1.01873$	$6.08487$	$[0, 0, 0, -5778818283, 194153160179482]$	\(y^2=x^3-5778818283x+194153160179482\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
458640.d3	458640d3	458640.d	458640d	$6$	$18$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{3} \cdot 7^{9} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$143327232$	$3.699364$	$673163386034885929/357608625192000$	$1.00441$	$5.18837$	$[0, 0, 0, -128832123, -161196398678]$	\(y^2=x^3-128832123x-161196398678\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 60.72.0-6.a.1.4, 84.72.0.?, $\ldots$	$[ ]$
458640.d4	458640d1	458640.d	458640d	$6$	$18$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{15} \cdot 5 \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$1$		$1$	$47775744$	$3.150059$	$326355561310674169/465699780$	$0.97132$	$5.13283$	$[0, 0, 0, -101207883, -391894428422]$	\(y^2=x^3-101207883x-391894428422\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
458640.d5	458640d2	458640.d	458640d	$6$	$18$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{24} \cdot 5^{2} \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$1$		$1$	$95551488$	$3.496632$	$-317562142497484249/12339342574650$	$0.97199$	$5.13572$	$[0, 0, 0, -100290603, -399346594598]$	\(y^2=x^3-100290603x-399346594598\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
458640.d6	458640d4	458640.d	458640d	$6$	$18$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{12} \cdot 5^{6} \cdot 7^{12} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$286654464$	$4.045937$	$37321015309599759191/23553520979625000$	$1.02003$	$5.49638$	$[0, 0, 0, 491249157, -1261096573142]$	\(y^2=x^3+491249157x-1261096573142\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 60.72.0-6.a.1.2, 84.72.0.?, $\ldots$	$[ ]$
458640.e1	458640e1	458640.e	458640e	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{2} \cdot 7^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$10920$	$48$	$0$	$2.654055543$	$1$		$3$	$2211840$	$1.657379$	$3718856704/2132325$	$1.07236$	$3.30441$	$[0, 0, 0, -35868, -250733]$	\(y^2=x^3-35868x-250733\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 168.12.0.?, $\ldots$	$[(581, 13230)]$
458640.e2	458640e2	458640.e	458640e	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$10920$	$48$	$0$	$5.308111086$	$1$		$1$	$4423680$	$2.003952$	$14647977776/8555625$	$0.99143$	$3.62226$	$[0, 0, 0, 142737, -2001062]$	\(y^2=x^3+142737x-2001062\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 168.12.0.?, 520.24.0.?, $\ldots$	$[(2081/2, 116775/2)]$
458640.f1	458640f1	458640.f	458640f	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{17} \cdot 3^{7} \cdot 5^{5} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$3.220459983$	$1$		$2$	$1843200$	$1.572247$	$-39678209809/3900000$	$0.88736$	$3.32634$	$[0, 0, 0, -37443, 3016258]$	\(y^2=x^3-37443x+3016258\)	1560.2.0.?	$[(71, 846)]$
458640.g1	458640g2	458640.g	458640g	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$4.048440915$	$1$		$3$	$25952256$	$2.771282$	$98104024066032/462109375$	$0.91429$	$4.55087$	$[0, 0, 0, -8071623, 8790522678]$	\(y^2=x^3-8071623x+8790522678\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(1446, 11934)]$
458640.g2	458640g1	458640.g	458640g	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 7^{8} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$2.024220457$	$1$		$3$	$12976128$	$2.424709$	$-44477724672/874680625$	$0.95212$	$4.02030$	$[0, 0, 0, -246078, 277894827]$	\(y^2=x^3-246078x+277894827\)	2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?	$[(9051, 859950)]$
458640.h1	458640h2	458640.h	458640h	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{10} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$23592960$	$2.798389$	$5468613271737741/6601562500$	$0.98951$	$4.62417$	$[0, 0, 0, -11099403, 14218183098]$	\(y^2=x^3-11099403x+14218183098\)	2.3.0.a.1, 20.6.0.d.1, 42.6.0.a.1, 420.12.0.?	$[ ]$
458640.h2	458640h1	458640.h	458640h	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{16} \cdot 3^{9} \cdot 5^{5} \cdot 7^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$11796480$	$2.451813$	$2709453996621/1428050000$	$0.98406$	$4.04040$	$[0, 0, 0, -878283, 94639482]$	\(y^2=x^3-878283x+94639482\)	2.3.0.a.1, 20.6.0.d.1, 84.6.0.?, 210.6.0.?, 420.12.0.?	$[ ]$
458640.i1	458640i1	458640.i	458640i	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$2.143248621$	$1$		$2$	$126720$	$0.175609$	$-1548288/65$	$0.67021$	$2.07544$	$[0, 0, 0, -168, -868]$	\(y^2=x^3-168x-868\)	390.2.0.?	$[(22, 78)]$
458640.j1	458640j1	458640.j	458640j	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{17} \cdot 5 \cdot 7^{6} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$19.32549981$	$1$		$0$	$31933440$	$2.882000$	$396555344454656/328867205355$	$1.02213$	$4.40519$	$[0, 0, 0, 4285932, -2247416948]$	\(y^2=x^3+4285932x-2247416948\)	390.2.0.?	$[(3489721001/2597, 182660643134649/2597)]$
458640.k1	458640k1	458640.k	458640k	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$3.641162833$	$1$		$2$	$774144$	$1.050192$	$-208417104/203125$	$0.88426$	$2.77470$	$[0, 0, 0, -2583, -82782]$	\(y^2=x^3-2583x-82782\)	52.2.0.a.1	$[(394, 7750)]$
458640.l1	458640l1	458640.l	458640l	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$3.246719030$	$1$		$2$	$400896$	$0.680562$	$-387072/1625$	$0.71136$	$2.41861$	$[0, 0, 0, -378, 8127]$	\(y^2=x^3-378x+8127\)	390.2.0.?	$[(123, 1350)]$
458640.m1	458640m1	458640.m	458640m	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{14} \cdot 3^{11} \cdot 5 \cdot 7^{4} \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.670515376$	$1$		$18$	$1751040$	$1.494274$	$-5764801/63180$	$1.07957$	$3.16454$	$[0, 0, 0, -7203, 1050658]$	\(y^2=x^3-7203x+1050658\)	390.2.0.?	$[(-49, 1134), (113, 1296)]$
458640.n1	458640n1	458640.n	458640n	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$2580480$	$1.701134$	$-2401/325$	$0.91119$	$3.35375$	$[0, 0, 0, -7203, -3606302]$	\(y^2=x^3-7203x-3606302\)	52.2.0.a.1	$[ ]$
458640.o1	458640o1	458640.o	458640o	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{21} \cdot 5^{5} \cdot 7^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$16.05002281$	$1$		$0$	$99993600$	$3.634556$	$-11083722100790228176/582924346875$	$0.98996$	$5.48912$	$[0, 0, 0, -475960863, 3996913155662]$	\(y^2=x^3-475960863x+3996913155662\)	390.2.0.?	$[(129809761/107, 294937027524/107)]$
458640.p1	458640p1	458640.p	458640p	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{29} \cdot 3^{6} \cdot 5^{2} \cdot 7^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$728$	$2$	$0$	$14.16478125$	$1$		$0$	$28200960$	$2.846970$	$-832972004929/14611251200$	$1.10595$	$4.40910$	$[0, 0, 0, -1383123, -3503386222]$	\(y^2=x^3-1383123x-3503386222\)	728.2.0.?	$[(42682199/41, 278520546710/41)]$
458640.q1	458640q1	458640.q	458640q	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{4} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$2.871648248$	$1$		$2$	$1479168$	$1.391468$	$1354752/10985$	$0.81413$	$3.06085$	$[0, 0, 0, 5292, 534492]$	\(y^2=x^3+5292x+534492\)	390.2.0.?	$[(273, 4725)]$
458640.r1	458640r4	458640.r	458640r	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{7} \cdot 5 \cdot 7^{8} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$4$	$2$	$1$	$28311552$	$2.984749$	$53365044437418169/41984670$	$0.96269$	$4.99392$	$[0, 0, 0, -55343883, -158471897542]$	\(y^2=x^3-55343883x-158471897542\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 312.12.0.?, $\ldots$	$[ ]$
458640.r2	458640r3	458640.r	458640r	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{10} \cdot 5 \cdot 7^{14} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$1$		$1$	$28311552$	$2.984749$	$165369706597369/60703354530$	$0.94372$	$4.55078$	$[0, 0, 0, -8068683, 5334694778]$	\(y^2=x^3-8068683x+5334694778\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 120.12.0.?, 312.12.0.?, $\ldots$	$[ ]$
458640.r3	458640r2	458640.r	458640r	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 7^{10} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$10920$	$48$	$0$	$1$	$1$		$3$	$14155776$	$2.638176$	$13293525831769/365192100$	$0.91378$	$4.35740$	$[0, 0, 0, -3482283, -2441087782]$	\(y^2=x^3-3482283x-2441087782\)	2.6.0.a.1, 28.12.0-2.a.1.1, 120.12.0.?, 156.12.0.?, 520.12.0.?, $\ldots$	$[ ]$
458640.r4	458640r1	458640.r	458640r	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{16} \cdot 3^{7} \cdot 5^{4} \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$1$		$1$	$7077888$	$2.291603$	$30080231/19110000$	$0.94018$	$3.89723$	$[0, 0, 0, 45717, -124602982]$	\(y^2=x^3+45717x-124602982\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 78.6.0.?, 120.12.0.?, $\ldots$	$[ ]$
458640.s1	458640s2	458640.s	458640s	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{16} \cdot 3^{16} \cdot 5^{6} \cdot 7^{3} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$13.23086166$	$1$		$11$	$11796480$	$2.596989$	$584759426925367/191909250000$	$0.97552$	$4.19985$	$[0, 0, 0, -1756083, -589328782]$	\(y^2=x^3-1756083x-589328782\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[(-377, 4374), (10558, 1076004)]$
458640.s2	458640s1	458640.s	458640s	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{20} \cdot 3^{11} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$3.307715417$	$1$		$19$	$5898240$	$2.250416$	$38282975119927/1314144000$	$0.94857$	$3.99073$	$[0, 0, 0, -707763, 222280562]$	\(y^2=x^3-707763x+222280562\)	2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.?	$[(7, 14742), (574, 2268)]$
458640.t1	458640t1	458640.t	458640t	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{16} \cdot 3^{6} \cdot 5 \cdot 7^{4} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1.145360996$	$1$		$4$	$1797120$	$1.497494$	$-1182740881/13520$	$0.98632$	$3.34487$	$[0, 0, 0, -42483, 3403442]$	\(y^2=x^3-42483x+3403442\)	20.2.0.a.1	$[(119, 182)]$
458640.u1	458640u1	458640.u	458640u	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{9} \cdot 5^{5} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$6.261749264$	$1$		$2$	$2476800$	$1.678001$	$-80373952512/40625$	$0.90583$	$3.62134$	$[0, 0, 0, -142128, 20632752]$	\(y^2=x^3-142128x+20632752\)	390.2.0.?	$[(2769, 144423)]$
458640.v1	458640v2	458640.v	458640v	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{4} \cdot 7^{6} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.249590776$	$1$		$7$	$39813120$	$2.998753$	$216092050322508/3016755625$	$1.03524$	$4.71779$	$[0, 0, 0, -16671123, 25881698178]$	\(y^2=x^3-16671123x+25881698178\)	2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[(2779, 31850)]$
458640.v2	458640v1	458640.v	458640v	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.499181553$	$1$		$5$	$19906560$	$2.652180$	$-445090032/858203125$	$1.13399$	$4.22932$	$[0, 0, 0, -133623, 1085370678]$	\(y^2=x^3-133623x+1085370678\)	2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?	$[(-446, 32500)]$
458640.w1	458640w4	458640.w	458640w	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{7} \cdot 5 \cdot 7^{7} \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1.393210577$	$1$		$23$	$7864320$	$2.223900$	$1307761493476/2998905$	$1.03626$	$4.07317$	$[0, 0, 0, -1012683, -391467958]$	\(y^2=x^3-1012683x-391467958\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 140.12.0.?, 210.6.0.?, $\ldots$	$[(-581, 882), (-563, 468)]$
458640.w2	458640w3	458640.w	458640w	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 7^{7} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$5.572842309$	$1$		$13$	$7864320$	$2.223900$	$885341342596/4606875$	$0.88025$	$4.04325$	$[0, 0, 0, -889203, 321283298]$	\(y^2=x^3-889203x+321283298\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 364.12.0.?, $\ldots$	$[(427, 4410), (499, 1350)]$
458640.w3	458640w2	458640.w	458640w	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5460$	$48$	$0$	$5.572842309$	$1$		$21$	$3932160$	$1.877325$	$3269383504/1863225$	$0.87917$	$3.50722$	$[0, 0, 0, -86583, -1209418]$	\(y^2=x^3-86583x-1209418\)	2.6.0.a.1, 12.12.0-2.a.1.1, 140.12.0.?, 260.12.0.?, 364.12.0.?, $\ldots$	$[(-131, 2808), (337, 2808)]$
458640.w4	458640w1	458640.w	458640w	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{10} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$22.29136923$	$1$		$5$	$1966080$	$1.530752$	$796706816/468195$	$0.89421$	$3.18623$	$[0, 0, 0, 21462, -150577]$	\(y^2=x^3+21462x-150577\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 140.12.0.?, 390.6.0.?, $\ldots$	$[(151, 2556), (23, 596)]$
458640.x1	458640x3	458640.x	458640x	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$7.629086004$	$1$		$11$	$3145728$	$1.835382$	$9636491538/8125$	$0.94289$	$3.74965$	$[0, 0, 0, -248283, 47583018]$	\(y^2=x^3-248283x+47583018\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 104.12.0.?, 168.12.0.?, $\ldots$	$[(343, 1666), (303, 414)]$
458640.x2	458640x2	458640.x	458640x	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$10920$	$48$	$0$	$1.907271501$	$1$		$37$	$1572864$	$1.488808$	$8586756/4225$	$0.96662$	$3.15774$	$[0, 0, 0, -18963, 388962]$	\(y^2=x^3-18963x+388962\)	2.6.0.a.1, 40.12.0.b.1, 104.12.0.?, 168.12.0.?, 260.12.0.?, $\ldots$	$[(-21, 882), (9, 468)]$
458640.x3	458640x1	458640.x	458640x	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$7.629086004$	$1$		$11$	$786432$	$1.142235$	$5256144/65$	$0.85145$	$3.01374$	$[0, 0, 0, -10143, -388962]$	\(y^2=x^3-10143x-388962\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 104.12.0.?, 130.6.0.?, $\ldots$	$[(-54, 36), (-59, 64)]$
458640.x4	458640x4	458640.x	458640x	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{11} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1.907271501$	$1$		$17$	$3145728$	$1.835382$	$208974222/142805$	$0.95226$	$3.45577$	$[0, 0, 0, 69237, 2982042]$	\(y^2=x^3+69237x+2982042\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.s.1, 104.12.0.?, 168.12.0.?, $\ldots$	$[(49, 2548), (7, 1862)]$
458640.y1	458640y2	458640.y	458640y	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{17} \cdot 3^{8} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.489860889$	$1$		$7$	$8847360$	$2.319778$	$374852148636727/760500000$	$1.08215$	$4.16574$	$[0, 0, 0, -1514163, 715886962]$	\(y^2=x^3-1514163x+715886962\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(777, 2912)]$
458640.y2	458640y1	458640.y	458640y	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{22} \cdot 3^{10} \cdot 5^{3} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$2.979721779$	$1$		$5$	$4423680$	$1.973204$	$-26543596087/134784000$	$1.08653$	$3.60762$	$[0, 0, 0, -62643, 18867058]$	\(y^2=x^3-62643x+18867058\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[(-87, 4864)]$
458640.z1	458640z2	458640.z	458640z	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$2949120$	$1.768881$	$260549802603/4225$	$0.95689$	$3.80293$	$[0, 0, 0, -312963, -67387838]$	\(y^2=x^3-312963x-67387838\)	2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
458640.z2	458640z1	458640.z	458640z	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.422306$	$-57960603/8125$	$0.86399$	$3.17438$	$[0, 0, 0, -18963, -1120238]$	\(y^2=x^3-18963x-1120238\)	2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?	$[ ]$

  Download displayed columns for results to