Elliptic curve search results

Results (1-50 of 127 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
17.a1	17a3	17.a	17a	$4$	$4$	$17$	$17$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	32.96.0.18	2B	$1088$	$1536$	$53$	$1$	$1$		$0$	$4$	$-0.376636$	$82483294977/17$	$1.03131$	$8.87186$	$[1, -1, 1, -91, -310]$	$y^2+xy+y=x^3-x^2-91x-310$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 16.48.0-16.j.1.3, 32.96.0-32.f.2.1, $\ldots$	$[]$
153.c1	153c3	153.c	153c	$4$	$4$	$3^{2} \cdot 17$	$3^{6} \cdot 17$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$3264$	$1536$	$53$	$1$	$1$		$0$	$32$	$0.172670$	$82483294977/17$	$1.03131$	$6.30711$	$[1, -1, 0, -816, 9179]$	$y^2+xy=x^3-x^2-816x+9179$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0.j.1, $\ldots$	$[]$
272.b1	272b3	272.b	272b	$4$	$4$	$2^{4} \cdot 17$	$2^{12} \cdot 17$	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.10	2B	$1088$	$1536$	$53$	$2.036297434$	$1$		$7$	$64$	$0.316511$	$82483294977/17$	$1.03131$	$5.96768$	$[0, 0, 0, -1451, 21274]$	$y^2=x^3-1451x+21274$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 16.48.0-16.j.1.1, 32.96.0-32.f.2.2, $\ldots$	$[(31, 78)]$
289.a1	289a3	289.a	289a	$4$	$4$	$17^{2}$	$17^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.20	2B	$1088$	$1536$	$53$	$3.035256177$	$1$		$2$	$288$	$1.039970$	$82483294977/17$	$1.03131$	$7.43593$	$[1, -1, 1, -26209, -1626560]$	$y^2+xy+y=x^3-x^2-26209x-1626560$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.6, 16.48.0-16.j.1.6, 32.96.0-32.f.2.8, $\ldots$	$[(625, 14715)]$
425.d1	425a3	425.d	425a	$4$	$4$	$5^{2} \cdot 17$	$5^{6} \cdot 17$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$5440$	$1536$	$53$	$6.003812221$	$1$		$0$	$128$	$0.428083$	$82483294977/17$	$1.03131$	$5.74884$	$[1, -1, 0, -2267, -40984]$	$y^2+xy=x^3-x^2-2267x-40984$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 20.12.0-4.c.1.1, $\ldots$	$[(1589/4, 50597/4)]$
833.a1	833a3	833.a	833a	$4$	$4$	$7^{2} \cdot 17$	$7^{6} \cdot 17$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$7616$	$1536$	$53$	$1$	$1$		$0$	$288$	$0.596319$	$82483294977/17$	$1.03131$	$5.47378$	$[1, -1, 1, -4444, 115126]$	$y^2+xy+y=x^3-x^2-4444x+115126$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 28.12.0-4.c.1.1, $\ldots$	$[]$
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, $\ldots$	$[(26, 192)]$
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, $\ldots$	$[]$
2057.e1	2057c3	2057.e	2057c	$4$	$4$	$11^{2} \cdot 17$	$11^{6} \cdot 17$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$11968$	$1536$	$53$	$1$	$1$		$0$	$1440$	$0.822311$	$82483294977/17$	$1.03131$	$5.18065$	$[1, -1, 0, -10973, 445176]$	$y^2+xy=x^3-x^2-10973x+445176$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[]$
2448.o1	2448o3	2448.o	2448o	$4$	$4$	$2^{4} \cdot 3^{2} \cdot 17$	$2^{12} \cdot 3^{6} \cdot 17$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$3264$	$1536$	$53$	$3.624239889$	$1$		$3$	$2048$	$0.865817$	$82483294977/17$	$1.03131$	$5.13202$	$[0, 0, 0, -13059, -574398]$	$y^2=x^3-13059x-574398$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0.j.1, $\ldots$	$[(159, 1170)]$
2601.g1	2601j3	2601.g	2601j	$4$	$4$	$3^{2} \cdot 17^{2}$	$3^{6} \cdot 17^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$3264$	$1536$	$53$	$1$	$1$		$0$	$9216$	$1.589277$	$82483294977/17$	$1.03131$	$6.19646$	$[1, -1, 0, -235878, 44152991]$	$y^2+xy=x^3-x^2-235878x+44152991$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0.j.1, $\ldots$	$[]$
2873.c1	2873a3	2873.c	2873a	$4$	$4$	$13^{2} \cdot 17$	$13^{6} \cdot 17$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$14144$	$1536$	$53$	$1$	$4$	$2$	$0$	$2304$	$0.905839$	$82483294977/17$	$1.03131$	$5.08916$	$[1, -1, 0, -15326, -726465]$	$y^2+xy=x^3-x^2-15326x-726465$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[]$
3825.d1	3825i3	3825.d	3825i	$4$	$4$	$3^{2} \cdot 5^{2} \cdot 17$	$3^{6} \cdot 5^{6} \cdot 17$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$16320$	$1536$	$53$	$1.381504994$	$1$		$4$	$4096$	$0.977389$	$82483294977/17$	$1.03131$	$5.01668$	$[1, -1, 1, -20405, 1126972]$	$y^2+xy+y=x^3-x^2-20405x+1126972$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(85, -7)]$
4624.d1	4624e3	4624.d	4624e	$4$	$4$	$2^{4} \cdot 17^{2}$	$2^{12} \cdot 17^{7}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.12	2B	$1088$	$1536$	$53$	$1$	$4$	$2$	$3$	$18432$	$1.733118$	$82483294977/17$	$1.03131$	$5.97853$	$[0, 0, 0, -419339, 104519162]$	$y^2=x^3-419339x+104519162$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.8, 16.48.0-16.j.1.8, 32.96.0-32.f.2.7, $\ldots$	$[]$
6137.b1	6137b3	6137.b	6137b	$4$	$4$	$17 \cdot 19^{2}$	$17 \cdot 19^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$20672$	$1536$	$53$	$3.574503186$	$1$		$0$	$6912$	$1.095583$	$82483294977/17$	$1.03131$	$4.90737$	$[1, -1, 0, -32738, 2288159]$	$y^2+xy=x^3-x^2-32738x+2288159$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(2386/5, 14251/5)]$
6800.n1	6800h3	6800.n	6800h	$4$	$4$	$2^{4} \cdot 5^{2} \cdot 17$	$2^{12} \cdot 5^{6} \cdot 17$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$5440$	$1536$	$53$	$1$	$1$		$1$	$8192$	$1.121229$	$82483294977/17$	$1.03131$	$4.88519$	$[0, 0, 0, -36275, 2659250]$	$y^2=x^3-36275x+2659250$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 20.12.0-4.c.1.2, $\ldots$	$[]$
7225.g1	7225b3	7225.g	7225b	$4$	$4$	$5^{2} \cdot 17^{2}$	$5^{6} \cdot 17^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$5440$	$1536$	$53$	$31.61706703$	$1$		$0$	$36864$	$1.844690$	$82483294977/17$	$1.03131$	$5.82893$	$[1, -1, 0, -655217, -203975184]$	$y^2+xy=x^3-x^2-655217x-203975184$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 20.12.0-4.c.1.1, $\ldots$	$[(-1183558796675241/1591810, 917714583723572604207/1591810)]$
7497.l1	7497o3	7497.l	7497o	$4$	$4$	$3^{2} \cdot 7^{2} \cdot 17$	$3^{6} \cdot 7^{6} \cdot 17$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$22848$	$1536$	$53$	$1$	$4$	$2$	$0$	$9216$	$1.145624$	$82483294977/17$	$1.03131$	$4.86458$	$[1, -1, 0, -39993, -3068416]$	$y^2+xy=x^3-x^2-39993x-3068416$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[]$
8993.a1	8993a3	8993.a	8993a	$4$	$4$	$17 \cdot 23^{2}$	$17 \cdot 23^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$25024$	$1536$	$53$	$1$	$1$		$0$	$12320$	$1.191111$	$82483294977/17$	$1.03131$	$4.82731$	$[1, -1, 1, -47974, 4056380]$	$y^2+xy+y=x^3-x^2-47974x+4056380$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[]$
9792.i1	9792bs3	9792.i	9792bs	$4$	$4$	$2^{6} \cdot 3^{2} \cdot 17$	$2^{18} \cdot 3^{6} \cdot 17$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$3264$	$1536$	$53$	$4.990329480$	$1$		$3$	$16384$	$1.212391$	$82483294977/17$	$1.03131$	$4.81039$	$[0, 0, 0, -52236, -4595184]$	$y^2=x^3-52236x-4595184$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 24.24.0-8.o.1.5, $\ldots$	$[(309, 2961)]$
9792.n1	9792m3	9792.n	9792m	$4$	$4$	$2^{6} \cdot 3^{2} \cdot 17$	$2^{18} \cdot 3^{6} \cdot 17$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$3264$	$1536$	$53$	$1$	$1$		$1$	$16384$	$1.212391$	$82483294977/17$	$1.03131$	$4.81039$	$[0, 0, 0, -52236, 4595184]$	$y^2=x^3-52236x+4595184$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 24.24.0-8.o.1.7, $\ldots$	$[]$
13328.p1	13328o3	13328.p	13328o	$4$	$4$	$2^{4} \cdot 7^{2} \cdot 17$	$2^{12} \cdot 7^{6} \cdot 17$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$7616$	$1536$	$53$	$8.831103808$	$1$		$1$	$18432$	$1.289467$	$82483294977/17$	$1.03131$	$4.75162$	$[0, 0, 0, -71099, -7296982]$	$y^2=x^3-71099x-7296982$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 28.12.0-4.c.1.2, $\ldots$	$[(9839/5, 633438/5)]$
14161.b1	14161b3	14161.b	14161b	$4$	$4$	$7^{2} \cdot 17^{2}$	$7^{6} \cdot 17^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$7616$	$1536$	$53$	$1$	$1$		$0$	$82944$	$2.012924$	$82483294977/17$	$1.03131$	$5.62976$	$[1, -1, 1, -1284226, 560478440]$	$y^2+xy+y=x^3-x^2-1284226x+560478440$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 28.12.0-4.c.1.1, $\ldots$	$[]$
14297.b1	14297a3	14297.b	14297a	$4$	$4$	$17 \cdot 29^{2}$	$17 \cdot 29^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$31552$	$1536$	$53$	$35.32856185$	$1$		$0$	$24192$	$1.307013$	$82483294977/17$	$1.03131$	$4.73877$	$[1, -1, 0, -76268, -8087989]$	$y^2+xy=x^3-x^2-76268x-8087989$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(-48367013634081233/17432106, 416188339868265408857959/17432106)]$
16337.a1	16337a3	16337.a	16337a	$4$	$4$	$17 \cdot 31^{2}$	$17 \cdot 31^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$33728$	$1536$	$53$	$1$	$1$		$0$	$30240$	$1.340357$	$82483294977/17$	$1.03131$	$4.71486$	$[1, -1, 1, -87151, 9924502]$	$y^2+xy+y=x^3-x^2-87151x+9924502$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[]$
18496.i1	18496c3	18496.i	18496c	$4$	$4$	$2^{6} \cdot 17^{2}$	$2^{18} \cdot 17^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.96	2B	$1088$	$1536$	$53$	$5.723560337$	$1$		$3$	$147456$	$2.079693$	$82483294977/17$	$1.03131$	$5.55828$	$[0, 0, 0, -1677356, -836153296]$	$y^2=x^3-1677356x-836153296$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.4, 16.48.0-16.j.1.4, 32.96.0-32.f.2.3, $\ldots$	$[(9656, 939828)]$
18496.k1	18496j3	18496.k	18496j	$4$	$4$	$2^{6} \cdot 17^{2}$	$2^{18} \cdot 17^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.100	2B	$1088$	$1536$	$53$	$1$	$1$		$1$	$147456$	$2.079693$	$82483294977/17$	$1.03131$	$5.55828$	$[0, 0, 0, -1677356, 836153296]$	$y^2=x^3-1677356x+836153296$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.2, 16.48.0-16.j.1.2, 32.96.0-32.f.2.4, $\ldots$	$[]$
18513.g1	18513q3	18513.g	18513q	$4$	$4$	$3^{2} \cdot 11^{2} \cdot 17$	$3^{6} \cdot 11^{6} \cdot 17$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$35904$	$1536$	$53$	$1$	$4$	$2$	$0$	$46080$	$1.371618$	$82483294977/17$	$1.03131$	$4.69304$	$[1, -1, 1, -98759, -11920994]$	$y^2+xy+y=x^3-x^2-98759x-11920994$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[]$
20825.u1	20825o3	20825.u	20825o	$4$	$4$	$5^{2} \cdot 7^{2} \cdot 17$	$5^{6} \cdot 7^{6} \cdot 17$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$38080$	$1536$	$53$	$5.701709753$	$1$		$0$	$36864$	$1.401037$	$82483294977/17$	$1.03131$	$4.67301$	$[1, -1, 0, -111092, 14279691]$	$y^2+xy=x^3-x^2-111092x+14279691$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(2535/2, 110067/2)]$
23273.g1	23273b4	23273.g	23273b	$4$	$4$	$17 \cdot 37^{2}$	$17 \cdot 37^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$40256$	$1536$	$53$	$62.22010114$	$1$		$0$	$51840$	$1.428823$	$82483294977/17$	$1.03131$	$4.65451$	$[1, -1, 0, -124151, -16806336]$	$y^2+xy=x^3-x^2-124151x-16806336$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(30768729812956253769681477493/6329579214084, 4581151871621658172690178315204634455209319/6329579214084)]$
25857.e1	25857i4	25857.e	25857i	$4$	$4$	$3^{2} \cdot 13^{2} \cdot 17$	$3^{6} \cdot 13^{6} \cdot 17$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$42432$	$1536$	$53$	$2.401290110$	$1$		$12$	$73728$	$1.455145$	$82483294977/17$	$1.03131$	$4.63737$	$[1, -1, 1, -137936, 19752490]$	$y^2+xy+y=x^3-x^2-137936x+19752490$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(244, 638), (895/2, 955/2)]$
27200.bi1	27200c4	27200.bi	27200c	$4$	$4$	$2^{6} \cdot 5^{2} \cdot 17$	$2^{18} \cdot 5^{6} \cdot 17$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$5440$	$1536$	$53$	$7.432443451$	$1$		$1$	$65536$	$1.467804$	$82483294977/17$	$1.03131$	$4.62925$	$[0, 0, 0, -145100, -21274000]$	$y^2=x^3-145100x-21274000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(14920/3, 1769300/3)]$
27200.bp1	27200br4	27200.bp	27200br	$4$	$4$	$2^{6} \cdot 5^{2} \cdot 17$	$2^{18} \cdot 5^{6} \cdot 17$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$5440$	$1536$	$53$	$1$	$1$		$1$	$65536$	$1.467804$	$82483294977/17$	$1.03131$	$4.62925$	$[0, 0, 0, -145100, 21274000]$	$y^2=x^3-145100x+21274000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[]$
28577.a1	28577a4	28577.a	28577a	$4$	$4$	$17 \cdot 41^{2}$	$17 \cdot 41^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$44608$	$1536$	$53$	$13.92546258$	$1$		$0$	$69120$	$1.480150$	$82483294977/17$	$1.03131$	$4.62141$	$[1, -1, 1, -152446, -22871660]$	$y^2+xy+y=x^3-x^2-152446x-22871660$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(45707561/16, 308649734979/16)]$
31433.b1	31433b4	31433.b	31433b	$4$	$4$	$17 \cdot 43^{2}$	$17 \cdot 43^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$46784$	$1536$	$53$	$6.498981354$	$1$		$0$	$80640$	$1.503963$	$82483294977/17$	$1.03131$	$4.60649$	$[1, -1, 0, -167681, 26470544]$	$y^2+xy=x^3-x^2-167681x+26470544$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(21940/13, 5618874/13)]$
32912.i1	32912t4	32912.i	32912t	$4$	$4$	$2^{4} \cdot 11^{2} \cdot 17$	$2^{12} \cdot 11^{6} \cdot 17$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$11968$	$1536$	$53$	$10.63655986$	$1$		$1$	$92160$	$1.515459$	$82483294977/17$	$1.03131$	$4.59939$	$[0, 0, 0, -175571, -28315694]$	$y^2=x^3-175571x-28315694$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(903991/7, 859276902/7)]$
34969.l1	34969e4	34969.l	34969e	$4$	$4$	$11^{2} \cdot 17^{2}$	$11^{6} \cdot 17^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$11968$	$1536$	$53$	$1$	$9$	$3$	$0$	$414720$	$2.238918$	$82483294977/17$	$1.03131$	$5.40254$	$[1, -1, 0, -3171251, 2174464760]$	$y^2+xy=x^3-x^2-3171251x+2174464760$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[]$
37553.c1	37553a4	37553.c	37553a	$4$	$4$	$17 \cdot 47^{2}$	$17 \cdot 47^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$51136$	$1536$	$53$	$5.885295743$	$1$		$0$	$105984$	$1.548437$	$82483294977/17$	$1.03131$	$4.57936$	$[1, -1, 1, -200329, 34561496]$	$y^2+xy+y=x^3-x^2-200329x+34561496$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(110713/21, 785639/21)]$
41616.v1	41616cl4	41616.v	41616cl	$4$	$4$	$2^{4} \cdot 3^{2} \cdot 17^{2}$	$2^{12} \cdot 3^{6} \cdot 17^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$3264$	$1536$	$53$	$13.65757227$	$1$		$1$	$589824$	$2.282425$	$82483294977/17$	$1.03131$	$5.36323$	$[0, 0, 0, -3774051, -2822017374]$	$y^2=x^3-3774051x-2822017374$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0.j.1, $\ldots$	$[(-37556969/183, 127804222/183)]$
45968.k1	45968p4	45968.k	45968p	$4$	$4$	$2^{4} \cdot 13^{2} \cdot 17$	$2^{12} \cdot 13^{6} \cdot 17$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$14144$	$1536$	$53$	$2.561454242$	$1$		$3$	$147456$	$1.598986$	$82483294977/17$	$1.03131$	$4.54962$	$[0, 0, 0, -245219, 46738978]$	$y^2=x^3-245219x+46738978$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(-351, 9464)]$
47753.i1	47753f4	47753.i	47753f	$4$	$4$	$17 \cdot 53^{2}$	$17 \cdot 53^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$57664$	$1536$	$53$	$1$	$16$	$2$	$0$	$149760$	$1.608509$	$82483294977/17$	$1.03131$	$4.54414$	$[1, -1, 0, -254741, -49423960]$	$y^2+xy=x^3-x^2-254741x-49423960$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[]$
48841.c1	48841a4	48841.c	48841a	$4$	$4$	$13^{2} \cdot 17^{2}$	$13^{6} \cdot 17^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$14144$	$1536$	$53$	$3.644094030$	$4$	$2$	$2$	$663552$	$2.322445$	$82483294977/17$	$1.03131$	$5.32819$	$[1, -1, 0, -4429268, -3586839541]$	$y^2+xy=x^3-x^2-4429268x-3586839541$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(7238, 582473)]$
51425.m1	51425u4	51425.m	51425u	$4$	$4$	$5^{2} \cdot 11^{2} \cdot 17$	$5^{6} \cdot 11^{6} \cdot 17$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$59840$	$1536$	$53$	$5.356649565$	$1$		$0$	$184320$	$1.627031$	$82483294977/17$	$1.03131$	$4.53359$	$[1, -1, 1, -274330, 55372672]$	$y^2+xy+y=x^3-x^2-274330x+55372672$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(4207/3, 139360/3)]$
53312.ba1	53312o4	53312.ba	53312o	$4$	$4$	$2^{6} \cdot 7^{2} \cdot 17$	$2^{18} \cdot 7^{6} \cdot 17$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$7616$	$1536$	$53$	$5.711203455$	$1$		$9$	$147456$	$1.636040$	$82483294977/17$	$1.03131$	$4.52851$	$[0, 0, 0, -284396, 58375856]$	$y^2=x^3-284396x+58375856$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(310, 64), (1366, 47104)]$
53312.bb1	53312bt4	53312.bb	53312bt	$4$	$4$	$2^{6} \cdot 7^{2} \cdot 17$	$2^{18} \cdot 7^{6} \cdot 17$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$7616$	$1536$	$53$	$9.647789985$	$1$		$1$	$147456$	$1.636040$	$82483294977/17$	$1.03131$	$4.52851$	$[0, 0, 0, -284396, -58375856]$	$y^2=x^3-284396x-58375856$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(28204/3, 4662944/3)]$
55233.g1	55233g4	55233.g	55233g	$4$	$4$	$3^{2} \cdot 17 \cdot 19^{2}$	$3^{6} \cdot 17 \cdot 19^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$62016$	$1536$	$53$	$13.35234307$	$1$		$0$	$221184$	$1.644890$	$82483294977/17$	$1.03131$	$4.52356$	$[1, -1, 1, -294644, -61485650]$	$y^2+xy+y=x^3-x^2-294644x-61485650$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(8167439/110, 8658459317/110)]$
59177.d1	59177b4	59177.d	59177b	$4$	$4$	$17 \cdot 59^{2}$	$17 \cdot 59^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$64192$	$1536$	$53$	$8.628537383$	$1$		$0$	$200448$	$1.662132$	$82483294977/17$	$1.03131$	$4.51400$	$[1, -1, 0, -315683, 68348184]$	$y^2+xy=x^3-x^2-315683x+68348184$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(-166904/21, 108758432/21)]$
61200.gy1	61200fz4	61200.gy	61200fz	$4$	$4$	$2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17$	$2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 17$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$16320$	$1536$	$53$	$1$	$4$	$2$	$1$	$262144$	$1.670536$	$82483294977/17$	$1.03131$	$4.50938$	$[0, 0, 0, -326475, -71799750]$	$y^2=x^3-326475x-71799750$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[]$
63257.a1	63257a4	63257.a	63257a	$4$	$4$	$17 \cdot 61^{2}$	$17 \cdot 61^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$66368$	$1536$	$53$	$17.49255725$	$1$		$0$	$224640$	$1.678801$	$82483294977/17$	$1.03131$	$4.50486$	$[1, -1, 0, -337448, -75365541]$	$y^2+xy=x^3-x^2-337448x-75365541$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(2403142381/156, 117616564626887/156)]$
65025.u1	65025bo4	65025.u	65025bo	$4$	$4$	$3^{2} \cdot 5^{2} \cdot 17^{2}$	$3^{6} \cdot 5^{6} \cdot 17^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$16320$	$1536$	$53$	$1$	$1$		$0$	$1179648$	$2.393997$	$82483294977/17$	$1.03131$	$5.26806$	$[1, -1, 1, -5896955, 5513226922]$	$y^2+xy+y=x^3-x^2-5896955x+5513226922$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[]$

  Download displayed columns for results to