Elliptic curves over $\Q$ of conductor 21216

Results (36 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
21216.a1	21216c1	21216.a	21216c	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$0.906159149$	$1$		$17$	$6656$	$0.056766$	$5870966464/33813$	$0.84217$	$2.67525$	$[0, -1, 0, -150, 756]$	\(y^2=x^3-x^2-150x+756\)	2.3.0.a.1, 26.6.0.b.1, 68.6.0.b.1, 884.12.0.?	$[(6, 6), (8, 2)]$
21216.a2	21216c2	21216.a	21216c	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{4} \cdot 13^{2} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$0.906159149$	$1$		$21$	$13312$	$0.403339$	$-7529536/232713$	$0.96273$	$2.82545$	$[0, -1, 0, -65, 1521]$	\(y^2=x^3-x^2-65x+1521\)	2.3.0.a.1, 52.6.0.c.1, 68.6.0.a.1, 884.12.0.?	$[(5, 36), (0, 39)]$
21216.b1	21216d2	21216.b	21216d	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{3} \cdot 13^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.968882144$	$1$		$5$	$129024$	$1.522991$	$2386549263163456/37663590627$	$1.03401$	$4.38909$	$[0, -1, 0, -44545, -3554159]$	\(y^2=x^3-x^2-44545x-3554159\)	2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.?	$[(-120, 221)]$
21216.b2	21216d1	21216.b	21216d	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{6} \cdot 13^{3} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.484441072$	$1$		$9$	$64512$	$1.176416$	$292279034436544/133768319373$	$1.05221$	$3.76086$	$[0, -1, 0, -5530, 74236]$	\(y^2=x^3-x^2-5530x+74236\)	2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.?	$[(84, 442)]$
21216.c1	21216b2	21216.c	21216b	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3 \cdot 13^{2} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1.288949029$	$1$		$15$	$7168$	$0.255800$	$653972032/8619$	$0.87012$	$2.87240$	$[0, -1, 0, -289, 1969]$	\(y^2=x^3-x^2-289x+1969\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[(9, 4), (15, 28)]$
21216.c2	21216b1	21216.c	21216b	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1.288949029$	$1$		$17$	$3584$	$-0.090774$	$69934528/33813$	$0.88029$	$2.23056$	$[0, -1, 0, -34, -20]$	\(y^2=x^3-x^2-34x-20\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(-2, 6), (-4, 6)]$
21216.d1	21216l4	21216.d	21216l	$4$	$4$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{9} \cdot 3^{8} \cdot 13 \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1768$	$48$	$0$	$3.752488315$	$1$		$11$	$12288$	$0.655311$	$2927889364616/1449981$	$1.04473$	$3.50751$	$[0, -1, 0, -2384, 45588]$	\(y^2=x^3-x^2-2384x+45588\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 68.12.0-4.c.1.2, 104.24.0.?, $\ldots$	$[(28, 2), (33, 42)]$
21216.d2	21216l3	21216.d	21216l	$4$	$4$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{9} \cdot 3^{2} \cdot 13 \cdot 17^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1768$	$48$	$0$	$3.752488315$	$1$		$9$	$12288$	$0.655311$	$524776831496/9771957$	$0.89178$	$3.33496$	$[0, -1, 0, -1344, -18216]$	\(y^2=x^3-x^2-1344x-18216\)	2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 136.24.0.?, 1768.48.0.?	$[(45, 102), (-19, 10)]$
21216.d3	21216l1	21216.d	21216l	$4$	$4$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{4} \cdot 13^{2} \cdot 17^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1768$	$48$	$0$	$3.752488315$	$1$		$15$	$6144$	$0.308737$	$9155562688/3956121$	$0.90430$	$2.71985$	$[0, -1, 0, -174, 504]$	\(y^2=x^3-x^2-174x+504\)	2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.1, 104.24.0.?, 1768.48.0.?	$[(-6, 36), (-13, 20)]$
21216.d4	21216l2	21216.d	21216l	$4$	$4$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{2} \cdot 13^{4} \cdot 17 \)	$2$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1768$	$48$	$0$	$3.752488315$	$1$		$21$	$12288$	$0.655311$	$5564051648/4369833$	$0.90563$	$3.08731$	$[0, -1, 0, 591, 3105]$	\(y^2=x^3-x^2+591x+3105\)	2.3.0.a.1, 4.12.0-4.c.1.1, 68.24.0-68.h.1.2, 104.24.0.?, 1768.48.0.?	$[(8, 91), (11, 104)]$
21216.e1	21216i1	21216.e	21216i	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{4} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$312$	$48$	$0$	$1$	$1$		$1$	$165888$	$1.866776$	$5242933647830934578368/87947613$	$1.02562$	$5.43739$	$[0, -1, 0, -1447694, 670927980]$	\(y^2=x^3-x^2-1447694x+670927980\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
21216.e2	21216i2	21216.e	21216i	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{2} \cdot 13^{2} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$312$	$48$	$0$	$1$	$1$		$1$	$331776$	$2.213348$	$-81913199224986275392/10610127067761$	$1.01097$	$5.43740$	$[0, -1, 0, -1447649, 670971729]$	\(y^2=x^3-x^2-1447649x+670971729\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 52.12.0.d.1, 104.24.0.?, $\ldots$	$[]$
21216.f1	21216a1	21216.f	21216a	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1.375673855$	$1$		$5$	$2560$	$-0.090231$	$131096512/25857$	$0.78986$	$2.29363$	$[0, -1, 0, -42, -72]$	\(y^2=x^3-x^2-42x-72\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(-4, 4)]$
21216.f2	21216a2	21216.f	21216a	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{9} \cdot 3^{4} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$2.751347710$	$1$		$3$	$5120$	$0.256342$	$145531576/304317$	$0.83336$	$2.60927$	$[0, -1, 0, 88, -540]$	\(y^2=x^3-x^2+88x-540\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(9, 30)]$
21216.g1	21216k2	21216.g	21216k	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{11} \cdot 13^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$18.76316059$	$1$		$1$	$642048$	$2.634289$	$111929798417942466883648/14535930476691$	$1.06631$	$6.16209$	$[0, -1, 0, -16064257, 24787508305]$	\(y^2=x^3-x^2-16064257x+24787508305\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[(784316721/568, 1796511078665/568)]$
21216.g2	21216k1	21216.g	21216k	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{22} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$9.381580298$	$1$		$1$	$321024$	$2.287712$	$1763293530283953913792/19924870320721197$	$1.05565$	$5.32801$	$[0, -1, 0, -1006762, 385331908]$	\(y^2=x^3-x^2-1006762x+385331908\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(11649/8, 7385633/8)]$
21216.h1	21216j1	21216.h	21216j	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{4} \cdot 13^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$136$	$12$	$0$	$1$	$1$		$1$	$18432$	$0.494573$	$71783828416/39328497$	$0.93045$	$2.92655$	$[0, -1, 0, -346, 688]$	\(y^2=x^3-x^2-346x+688\)	2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.?	$[]$
21216.h2	21216j2	21216.h	21216j	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{9} \cdot 3^{8} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.841146$	$523996494328/320445801$	$0.94156$	$3.33481$	$[0, -1, 0, 1344, 4068]$	\(y^2=x^3-x^2+1344x+4068\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[]$
21216.i1	21216h2	21216.i	21216h	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{3} \cdot 13^{6} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.330725179$	$1$		$29$	$129024$	$1.522991$	$2386549263163456/37663590627$	$1.03401$	$4.38909$	$[0, 1, 0, -44545, 3554159]$	\(y^2=x^3+x^2-44545x+3554159\)	2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.?	$[(107, 156), (341, 5304)]$
21216.i2	21216h1	21216.i	21216h	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{6} \cdot 13^{3} \cdot 17^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.330725179$	$1$		$29$	$64512$	$1.176416$	$292279034436544/133768319373$	$1.05221$	$3.76086$	$[0, 1, 0, -5530, -74236]$	\(y^2=x^3+x^2-5530x-74236\)	2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.?	$[(137, 1326), (86, 306)]$
21216.j1	21216o1	21216.j	21216o	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$6656$	$0.056766$	$5870966464/33813$	$0.84217$	$2.67525$	$[0, 1, 0, -150, -756]$	\(y^2=x^3+x^2-150x-756\)	2.3.0.a.1, 26.6.0.b.1, 68.6.0.b.1, 884.12.0.?	$[]$
21216.j2	21216o2	21216.j	21216o	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{4} \cdot 13^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$13312$	$0.403339$	$-7529536/232713$	$0.96273$	$2.82545$	$[0, 1, 0, -65, -1521]$	\(y^2=x^3+x^2-65x-1521\)	2.3.0.a.1, 52.6.0.c.1, 68.6.0.a.1, 884.12.0.?	$[]$
21216.k1	21216e1	21216.k	21216e	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{4} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$312$	$48$	$0$	$1$	$1$		$1$	$165888$	$1.866776$	$5242933647830934578368/87947613$	$1.02562$	$5.43739$	$[0, 1, 0, -1447694, -670927980]$	\(y^2=x^3+x^2-1447694x-670927980\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
21216.k2	21216e2	21216.k	21216e	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{2} \cdot 13^{2} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$312$	$48$	$0$	$1$	$1$		$1$	$331776$	$2.213348$	$-81913199224986275392/10610127067761$	$1.01097$	$5.43740$	$[0, 1, 0, -1447649, -670971729]$	\(y^2=x^3+x^2-1447649x-670971729\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 52.12.0.d.1, 104.24.0.?, $\ldots$	$[]$
21216.l1	21216p4	21216.l	21216p	$4$	$4$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{9} \cdot 3^{8} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1768$	$48$	$0$	$4.391827415$	$1$		$1$	$12288$	$0.655311$	$2927889364616/1449981$	$1.04473$	$3.50751$	$[0, 1, 0, -2384, -45588]$	\(y^2=x^3+x^2-2384x-45588\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 68.12.0-4.c.1.1, 104.24.0.?, $\ldots$	$[(613/2, 14337/2)]$
21216.l2	21216p3	21216.l	21216p	$4$	$4$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{9} \cdot 3^{2} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1768$	$48$	$0$	$4.391827415$	$1$		$3$	$12288$	$0.655311$	$524776831496/9771957$	$0.89178$	$3.33496$	$[0, 1, 0, -1344, 18216]$	\(y^2=x^3+x^2-1344x+18216\)	2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 136.24.0.?, 1768.48.0.?	$[(101/2, 255/2)]$
21216.l3	21216p1	21216.l	21216p	$4$	$4$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{4} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1768$	$48$	$0$	$2.195913707$	$1$		$7$	$6144$	$0.308737$	$9155562688/3956121$	$0.90430$	$2.71985$	$[0, 1, 0, -174, -504]$	\(y^2=x^3+x^2-174x-504\)	2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.2, 104.24.0.?, 1768.48.0.?	$[(-4, 12)]$
21216.l4	21216p2	21216.l	21216p	$4$	$4$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{2} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1768$	$48$	$0$	$1.097956853$	$1$		$7$	$12288$	$0.655311$	$5564051648/4369833$	$0.90563$	$3.08731$	$[0, 1, 0, 591, -3105]$	\(y^2=x^3+x^2+591x-3105\)	2.3.0.a.1, 4.12.0-4.c.1.2, 68.24.0-68.h.1.1, 104.24.0.?, 1768.48.0.?	$[(18, 117)]$
21216.m1	21216g2	21216.m	21216g	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3 \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$2.865905982$	$1$		$3$	$7168$	$0.255800$	$653972032/8619$	$0.87012$	$2.87240$	$[0, 1, 0, -289, -1969]$	\(y^2=x^3+x^2-289x-1969\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[(25, 84)]$
21216.m2	21216g1	21216.m	21216g	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1.432952991$	$1$		$5$	$3584$	$-0.090774$	$69934528/33813$	$0.88029$	$2.23056$	$[0, 1, 0, -34, 20]$	\(y^2=x^3+x^2-34x+20\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(8, 18)]$
21216.n1	21216m1	21216.n	21216m	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1.411498710$	$1$		$3$	$2560$	$-0.090231$	$131096512/25857$	$0.78986$	$2.29363$	$[0, 1, 0, -42, 72]$	\(y^2=x^3+x^2-42x+72\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(-6, 12)]$
21216.n2	21216m2	21216.n	21216m	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{9} \cdot 3^{4} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$2.822997420$	$1$		$3$	$5120$	$0.256342$	$145531576/304317$	$0.83336$	$2.60927$	$[0, 1, 0, 88, 540]$	\(y^2=x^3+x^2+88x+540\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(63, 510)]$
21216.o1	21216n2	21216.o	21216n	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{11} \cdot 13^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$4$	$2$	$1$	$642048$	$2.634289$	$111929798417942466883648/14535930476691$	$1.06631$	$6.16209$	$[0, 1, 0, -16064257, -24787508305]$	\(y^2=x^3+x^2-16064257x-24787508305\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[]$
21216.o2	21216n1	21216.o	21216n	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{22} \cdot 13^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$321024$	$2.287712$	$1763293530283953913792/19924870320721197$	$1.05565$	$5.32801$	$[0, 1, 0, -1006762, -385331908]$	\(y^2=x^3+x^2-1006762x-385331908\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[]$
21216.p1	21216f1	21216.p	21216f	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{6} \cdot 3^{4} \cdot 13^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$136$	$12$	$0$	$1$	$1$		$1$	$18432$	$0.494573$	$71783828416/39328497$	$0.93045$	$2.92655$	$[0, 1, 0, -346, -688]$	\(y^2=x^3+x^2-346x-688\)	2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.?	$[]$
21216.p2	21216f2	21216.p	21216f	$2$	$2$	\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{9} \cdot 3^{8} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.841146$	$523996494328/320445801$	$0.94156$	$3.33481$	$[0, 1, 0, 1344, -4068]$	\(y^2=x^3+x^2+1344x-4068\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[]$