LMFDB - Elliptic curves over $\Q$ of conductor 1088

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio	Manin constant

Intrinsic torsion order

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Results (36 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	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	Manin constant
1088.a1	1088j2	1088.a	1088j	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{15} \cdot 17^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$136$	$12$	$0$	$0.531665631$	$1$		$25$	$384$	$0.043360$	$941192/289$	$0.97049$	$3.45420$	$[0, 1, 0, -65, -161]$	$y^2=x^3+x^2-65x-161$	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[(-5, 8), (11, 24)]$	$1$
1088.a2	1088j1	1088.a	1088j	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{12} \cdot 17 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$136$	$12$	$0$	$0.531665631$	$1$		$21$	$192$	$-0.303214$	$438976/17$	$0.96236$	$3.04772$	$[0, 1, 0, -25, 39]$	$y^2=x^3+x^2-25x+39$	2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.?	$[(1, 4), (5, 8)]$	$1$
1088.b1	1088n2	1088.b	1088n	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{12} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.21	2B	$136$	$48$	$0$	$0.522859354$	$1$		$7$	$128$	$-0.145446$	$19248832/17$	$0.91741$	$3.58844$	$[0, 1, 0, -89, 295]$	$y^2=x^3+x^2-89x+295$	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 34.6.0.a.1, 68.12.0.e.1, $\ldots$	$[(3, 8)]$	$1$
1088.b2	1088n1	1088.b	1088n	$2$	$2$	$ 2^{6} \cdot 17 $	$ - 2^{6} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.12	2B	$136$	$48$	$0$	$1.045718709$	$1$		$5$	$64$	$-0.492020$	$-140608/289$	$1.04671$	$2.50685$	$[0, 1, 0, -4, 6]$	$y^2=x^3+x^2-4x+6$	2.3.0.a.1, 4.12.0-4.a.1.1, 68.24.0-68.d.1.1, 136.48.0.?	$[(1, 2)]$	$1$
1088.c1	1088d2	1088.c	1088d	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{17} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$136$	$12$	$0$	$0.469681456$	$1$		$11$	$256$	$0.214729$	$6097250/289$	$0.87700$	$3.91969$	$[0, 1, 0, -193, 927]$	$y^2=x^3+x^2-193x+927$	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[(11, 16)]$	$1$
1088.c2	1088d1	1088.c	1088d	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{16} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$136$	$12$	$0$	$0.939362912$	$1$		$5$	$128$	$-0.131845$	$62500/17$	$0.89869$	$3.16547$	$[0, 1, 0, -33, -65]$	$y^2=x^3+x^2-33x-65$	2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.?	$[(-3, 4)]$	$1$
1088.d1	1088i4	1088.d	1088i	$4$	$6$	$ 2^{6} \cdot 17 $	$ 2^{19} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$1$	$1$		$1$	$2304$	$1.219208$	$159661140625/48275138$	$1.06848$	$5.47375$	$[0, 1, 0, -7233, 161215]$	$y^2=x^3+x^2-7233x+161215$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.4, $\ldots$	$[ ]$	$1$
1088.d2	1088i3	1088.d	1088i	$4$	$6$	$ 2^{6} \cdot 17 $	$ 2^{20} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$1$	$1$		$1$	$1152$	$0.872635$	$120920208625/19652$	$0.98564$	$5.43400$	$[0, 1, 0, -6593, 203839]$	$y^2=x^3+x^2-6593x+203839$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.8, $\ldots$	$[ ]$	$1$
1088.d3	1088i2	1088.d	1088i	$4$	$6$	$ 2^{6} \cdot 17 $	$ 2^{21} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$1$	$1$		$1$	$768$	$0.669902$	$8805624625/2312$	$0.96590$	$5.05933$	$[0, 1, 0, -2753, -56513]$	$y^2=x^3+x^2-2753x-56513$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.10, $\ldots$	$[ ]$	$1$
1088.d4	1088i1	1088.d	1088i	$4$	$6$	$ 2^{6} \cdot 17 $	$ 2^{24} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$1$	$1$		$1$	$384$	$0.323328$	$3048625/1088$	$0.90010$	$3.91969$	$[0, 1, 0, -193, -705]$	$y^2=x^3+x^2-193x-705$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.2, $\ldots$	$[ ]$	$1$
1088.e1	1088m1	1088.e	1088m	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{14} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.22	2B	$136$	$48$	$0$	$0.854930137$	$1$		$5$	$128$	$-0.261630$	$35152/17$	$0.75928$	$2.88490$	$[0, 1, 0, -17, -17]$	$y^2=x^3+x^2-17x-17$	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 34.6.0.a.1, 68.24.0.f.1, $\ldots$	$[(-3, 4)]$	$1$
1088.e2	1088m2	1088.e	1088m	$2$	$2$	$ 2^{6} \cdot 17 $	$ - 2^{16} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.37	2B	$136$	$48$	$0$	$1.709860274$	$1$		$5$	$256$	$0.084943$	$415292/289$	$0.87236$	$3.43632$	$[0, 1, 0, 63, -65]$	$y^2=x^3+x^2+63x-65$	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 68.12.0.d.1, 136.48.0.?	$[(5, 20)]$	$1$
1088.f1	1088b1	1088.f	1088b	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{12} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.4	2B	$136$	$12$	$0$	$0.715546714$	$1$		$7$	$64$	$-0.326903$	$216000/17$	$0.77446$	$2.94630$	$[0, 0, 0, -20, 32]$	$y^2=x^3-20x+32$	2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.?	$[(4, 4)]$	$1$
1088.f2	1088b2	1088.f	1088b	$2$	$2$	$ 2^{6} \cdot 17 $	$ - 2^{15} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.5	2B	$136$	$12$	$0$	$1.431093428$	$1$		$5$	$128$	$0.019671$	$27000/289$	$1.24244$	$3.35561$	$[0, 0, 0, 20, 144]$	$y^2=x^3+20x+144$	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(0, 12)]$	$1$
1088.g1	1088a1	1088.g	1088a	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{12} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.4	2B	$136$	$12$	$0$	$1.105281672$	$1$		$5$	$64$	$-0.326903$	$216000/17$	$0.77446$	$2.94630$	$[0, 0, 0, -20, -32]$	$y^2=x^3-20x-32$	2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.?	$[(6, 8)]$	$1$
1088.g2	1088a2	1088.g	1088a	$2$	$2$	$ 2^{6} \cdot 17 $	$ - 2^{15} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.5	2B	$136$	$12$	$0$	$2.210563344$	$1$		$5$	$128$	$0.019671$	$27000/289$	$1.24244$	$3.35561$	$[0, 0, 0, 20, -144]$	$y^2=x^3+20x-144$	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(5, 9)]$	$1$
1088.h1	1088k3	1088.h	1088k	$4$	$4$	$ 2^{6} \cdot 17 $	$ 2^{18} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.96.0.98	2B	$1088$	$1536$	$53$	$1.300533693$	$1$		$3$	$512$	$0.663085$	$82483294977/17$	$1.03131$	$5.37929$	$[0, 0, 0, -5804, 170192]$	$y^2=x^3-5804x+170192$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 16.48.0-16.j.1.7, 32.96.0-32.f.2.5, $\ldots$	$[(26, 192)]$	$1$
1088.h2	1088k2	1088.h	1088k	$4$	$4$	$ 2^{6} \cdot 17 $	$ 2^{18} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.90	2Cs	$544$	$1536$	$53$	$2.601067387$	$1$		$5$	$256$	$0.316511$	$20346417/289$	$1.02963$	$4.19117$	$[0, 0, 0, -364, 2640]$	$y^2=x^3-364x+2640$	2.6.0.a.1, 4.12.0.a.1, 8.48.0-8.f.1.2, 16.96.0-16.c.2.1, 68.24.0.b.1, $\ldots$	$[(28, 120)]$	$1$
1088.h3	1088k1	1088.h	1088k	$4$	$4$	$ 2^{6} \cdot 17 $	$ 2^{18} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.96.0.94	2B	$1088$	$1536$	$53$	$1.300533693$	$1$		$5$	$128$	$-0.030063$	$35937/17$	$1.02432$	$3.28459$	$[0, 0, 0, -44, -48]$	$y^2=x^3-44x-48$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 16.48.0-16.j.1.5, 32.96.0-32.f.2.6, $\ldots$	$[(-4, 8)]$	$1$
1088.h4	1088k4	1088.h	1088k	$4$	$4$	$ 2^{6} \cdot 17 $	$ - 2^{18} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.23	2B	$1088$	$1536$	$53$	$1.300533693$	$1$		$5$	$512$	$0.663085$	$-35937/83521$	$1.18071$	$4.47140$	$[0, 0, 0, -44, 7120]$	$y^2=x^3-44x+7120$	2.3.0.a.1, 4.24.0-4.d.1.2, 8.48.0-8.t.1.1, 16.96.0-16.m.2.2, 136.96.1.?, $\ldots$	$[(-3, 85)]$	$1$
1088.i1	1088e3	1088.i	1088e	$4$	$4$	$ 2^{6} \cdot 17 $	$ 2^{18} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.96.0.94	2B	$1088$	$1536$	$53$	$1$	$4$	$2$	$1$	$512$	$0.663085$	$82483294977/17$	$1.03131$	$5.37929$	$[0, 0, 0, -5804, -170192]$	$y^2=x^3-5804x-170192$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 16.48.0-16.j.1.5, 32.96.0-32.f.2.6, $\ldots$	$[ ]$	$1$
1088.i2	1088e2	1088.i	1088e	$4$	$4$	$ 2^{6} \cdot 17 $	$ 2^{18} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.90	2Cs	$544$	$1536$	$53$	$1$	$4$	$2$	$3$	$256$	$0.316511$	$20346417/289$	$1.02963$	$4.19117$	$[0, 0, 0, -364, -2640]$	$y^2=x^3-364x-2640$	2.6.0.a.1, 4.12.0.a.1, 8.48.0-8.f.1.2, 16.96.0-16.c.2.1, 68.24.0.b.1, $\ldots$	$[ ]$	$1$
1088.i3	1088e4	1088.i	1088e	$4$	$4$	$ 2^{6} \cdot 17 $	$ - 2^{18} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.23	2B	$1088$	$1536$	$53$	$1$	$1$		$1$	$512$	$0.663085$	$-35937/83521$	$1.18071$	$4.47140$	$[0, 0, 0, -44, -7120]$	$y^2=x^3-44x-7120$	2.3.0.a.1, 4.24.0-4.d.1.2, 8.48.0-8.t.1.1, 16.96.0-16.m.2.2, 136.96.1.?, $\ldots$	$[ ]$	$1$
1088.i4	1088e1	1088.i	1088e	$4$	$4$	$ 2^{6} \cdot 17 $	$ 2^{18} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.96.0.98	2B	$1088$	$1536$	$53$	$1$	$1$		$1$	$128$	$-0.030063$	$35937/17$	$1.02432$	$3.28459$	$[0, 0, 0, -44, 48]$	$y^2=x^3-44x+48$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 16.48.0-16.j.1.7, 32.96.0-32.f.2.5, $\ldots$	$[ ]$	$1$
1088.j1	1088h2	1088.j	1088h	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{15} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$136$	$12$	$0$	$1$	$1$		$1$	$384$	$0.043360$	$941192/289$	$0.97049$	$3.45420$	$[0, -1, 0, -65, 161]$	$y^2=x^3-x^2-65x+161$	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[ ]$	$1$
1088.j2	1088h1	1088.j	1088h	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{12} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$136$	$12$	$0$	$1$	$1$		$1$	$192$	$-0.303214$	$438976/17$	$0.96236$	$3.04772$	$[0, -1, 0, -25, -39]$	$y^2=x^3-x^2-25x-39$	2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.?	$[ ]$	$1$
1088.k1	1088l2	1088.k	1088l	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{12} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.21	2B	$136$	$48$	$0$	$1.857442600$	$1$		$3$	$128$	$-0.145446$	$19248832/17$	$0.91741$	$3.58844$	$[0, -1, 0, -89, -295]$	$y^2=x^3-x^2-89x-295$	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 34.6.0.a.1, 68.12.0.e.1, $\ldots$	$[(13, 24)]$	$1$
1088.k2	1088l1	1088.k	1088l	$2$	$2$	$ 2^{6} \cdot 17 $	$ - 2^{6} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.12	2B	$136$	$48$	$0$	$3.714885200$	$1$		$1$	$64$	$-0.492020$	$-140608/289$	$1.04671$	$2.50685$	$[0, -1, 0, -4, -6]$	$y^2=x^3-x^2-4x-6$	2.3.0.a.1, 4.12.0-4.a.1.1, 68.24.0-68.d.1.1, 136.48.0.?	$[(31/3, 82/3)]$	$1$
1088.l1	1088c4	1088.l	1088c	$4$	$6$	$ 2^{6} \cdot 17 $	$ 2^{19} \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$2.811692066$	$1$		$3$	$2304$	$1.219208$	$159661140625/48275138$	$1.06848$	$5.47375$	$[0, -1, 0, -7233, -161215]$	$y^2=x^3-x^2-7233x-161215$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 8.6.0.b.1, 24.48.0-24.y.1.3, $\ldots$	$[(113, 672)]$	$1$
1088.l2	1088c3	1088.l	1088c	$4$	$6$	$ 2^{6} \cdot 17 $	$ 2^{20} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$5.623384133$	$1$		$1$	$1152$	$0.872635$	$120920208625/19652$	$0.98564$	$5.43400$	$[0, -1, 0, -6593, -203839]$	$y^2=x^3-x^2-6593x-203839$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.5, $\ldots$	$[(2713/3, 135296/3)]$	$1$
1088.l3	1088c2	1088.l	1088c	$4$	$6$	$ 2^{6} \cdot 17 $	$ 2^{21} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$0.937230688$	$1$		$5$	$768$	$0.669902$	$8805624625/2312$	$0.96590$	$5.05933$	$[0, -1, 0, -2753, 56513]$	$y^2=x^3-x^2-2753x+56513$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 8.6.0.b.1, 24.48.0-24.y.1.1, $\ldots$	$[(49, 192)]$	$1$
1088.l4	1088c1	1088.l	1088c	$4$	$6$	$ 2^{6} \cdot 17 $	$ 2^{24} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$1.874461377$	$1$		$3$	$384$	$0.323328$	$3048625/1088$	$0.90010$	$3.91969$	$[0, -1, 0, -193, 705]$	$y^2=x^3-x^2-193x+705$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.11, $\ldots$	$[(3, 12)]$	$1$
1088.m1	1088g2	1088.m	1088g	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{17} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$136$	$12$	$0$	$1$	$1$		$1$	$256$	$0.214729$	$6097250/289$	$0.87700$	$3.91969$	$[0, -1, 0, -193, -927]$	$y^2=x^3-x^2-193x-927$	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[ ]$	$1$
1088.m2	1088g1	1088.m	1088g	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{16} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$136$	$12$	$0$	$1$	$1$		$1$	$128$	$-0.131845$	$62500/17$	$0.89869$	$3.16547$	$[0, -1, 0, -33, 65]$	$y^2=x^3-x^2-33x+65$	2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.?	$[ ]$	$1$
1088.n1	1088f1	1088.n	1088f	$2$	$2$	$ 2^{6} \cdot 17 $	$ 2^{14} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.22	2B	$136$	$48$	$0$	$1$	$1$		$1$	$128$	$-0.261630$	$35152/17$	$0.75928$	$2.88490$	$[0, -1, 0, -17, 17]$	$y^2=x^3-x^2-17x+17$	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 34.6.0.a.1, 68.24.0.f.1, $\ldots$	$[ ]$	$1$
1088.n2	1088f2	1088.n	1088f	$2$	$2$	$ 2^{6} \cdot 17 $	$ - 2^{16} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.37	2B	$136$	$48$	$0$	$1$	$1$		$1$	$256$	$0.084943$	$415292/289$	$0.87236$	$3.43632$	$[0, -1, 0, 63, 65]$	$y^2=x^3-x^2+63x+65$	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 68.12.0.d.1, 136.48.0.?	$[ ]$	$1$

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