Elliptic curve search results

Results (1-50 of 138 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	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
21.a5	21a1	21.a	21a	$6$	$8$	$3 \cdot 7$	$3^{4} \cdot 7^{2}$	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.48.0.24	2Cs	$168$	$192$	$1$	$1$	$1$		$6$	$1$	$-0.618942$	$7189057/3969$	$1.14862$	$5.18573$	$[1, 0, 0, -4, -1]$	$y^2+xy=x^3-4x-1$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 24.96.0-24.w.2.6, 28.48.0-28.c.1.1, $\ldots$	$[]$
63.a5	63a2	63.a	63a	$6$	$8$	$3^{2} \cdot 7$	$3^{10} \cdot 7^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.66	2Cs	$168$	$192$	$1$	$1$	$1$		$2$	$8$	$-0.069636$	$7189057/3969$	$1.14862$	$5.40165$	$[1, -1, 0, -36, 27]$	$y^2+xy=x^3-x^2-36x+27$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.6, 12.24.0-4.b.1.3, 24.96.0-24.w.2.1, $\ldots$	$[]$
147.a5	147a2	147.a	147a	$6$	$8$	$3 \cdot 7^{2}$	$3^{4} \cdot 7^{8}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.11	2Cs	$168$	$192$	$1$	$1$	$1$		$2$	$48$	$0.354013$	$7189057/3969$	$1.14862$	$5.50324$	$[1, 1, 1, -197, 146]$	$y^2+xy+y=x^3+x^2-197x+146$	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.2.15, 24.96.0-24.w.2.15, 28.48.0-28.c.1.4, $\ldots$	$[]$
336.a5	336e2	336.a	336e	$6$	$8$	$2^{4} \cdot 3 \cdot 7$	$2^{12} \cdot 3^{4} \cdot 7^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.32	2Cs	$168$	$192$	$1$	$0.746299208$	$1$		$13$	$64$	$0.074205$	$7189057/3969$	$1.14862$	$4.14395$	$[0, -1, 0, -64, 64]$	$y^2=x^3-x^2-64x+64$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.2.4, 24.96.0-24.w.2.2, 28.48.0-28.c.1.3, $\ldots$	$[(0, 8)]$
441.f5	441c2	441.f	441c	$6$	$8$	$3^{2} \cdot 7^{2}$	$3^{10} \cdot 7^{8}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.65	2Cs	$168$	$192$	$1$	$2.638508823$	$1$		$6$	$384$	$0.903319$	$7189057/3969$	$1.14862$	$5.59286$	$[1, -1, 0, -1773, -5720]$	$y^2+xy=x^3-x^2-1773x-5720$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.11, 12.24.0-4.b.1.2, 24.96.0-24.w.2.12, $\ldots$	$[(-4, 38)]$
525.d5	525b2	525.d	525b	$6$	$8$	$3 \cdot 5^{2} \cdot 7$	$3^{4} \cdot 5^{6} \cdot 7^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$840$	$192$	$1$	$1$	$1$		$2$	$128$	$0.185777$	$7189057/3969$	$1.14862$	$4.06244$	$[1, 1, 0, -100, -125]$	$y^2+xy=x^3+x^2-100x-125$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.3, 24.48.0.w.2, $\ldots$	$[]$
1008.l5	1008k2	1008.l	1008k	$6$	$8$	$2^{4} \cdot 3^{2} \cdot 7$	$2^{12} \cdot 3^{10} \cdot 7^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.90	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$512$	$0.623511$	$7189057/3969$	$1.14862$	$4.43880$	$[0, 0, 0, -579, -1150]$	$y^2=x^3-579x-1150$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.8, 12.24.0-4.b.1.1, 24.96.0-24.w.2.5, $\ldots$	$[]$
1344.g5	1344a2	1344.g	1344a	$6$	$8$	$2^{6} \cdot 3 \cdot 7$	$2^{18} \cdot 3^{4} \cdot 7^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.85	2Cs	$168$	$192$	$1$	$1.950960562$	$1$		$9$	$512$	$0.420779$	$7189057/3969$	$1.14862$	$3.92380$	$[0, -1, 0, -257, -255]$	$y^2=x^3-x^2-257x-255$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.3, 24.96.0-24.w.2.3, 28.24.0.c.1, $\ldots$	$[(-8, 35)]$
1344.s5	1344r2	1344.s	1344r	$6$	$8$	$2^{6} \cdot 3 \cdot 7$	$2^{18} \cdot 3^{4} \cdot 7^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.94	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$512$	$0.420779$	$7189057/3969$	$1.14862$	$3.92380$	$[0, 1, 0, -257, 255]$	$y^2=x^3+x^2-257x+255$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.1, 24.96.0-24.w.2.7, 28.24.0.c.1, $\ldots$	$[]$
1575.c5	1575g2	1575.c	1575g	$6$	$8$	$3^{2} \cdot 5^{2} \cdot 7$	$3^{10} \cdot 5^{6} \cdot 7^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$840$	$192$	$1$	$0.945149794$	$1$		$12$	$1024$	$0.735084$	$7189057/3969$	$1.14862$	$4.35158$	$[1, -1, 1, -905, 2472]$	$y^2+xy+y=x^3-x^2-905x+2472$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(-6, 90)]$
2352.v5	2352v2	2352.v	2352v	$6$	$8$	$2^{4} \cdot 3 \cdot 7^{2}$	$2^{12} \cdot 3^{4} \cdot 7^{8}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.9	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$3072$	$1.047161$	$7189057/3969$	$1.14862$	$4.60920$	$[0, 1, 0, -3152, -15660]$	$y^2=x^3+x^2-3152x-15660$	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.2.13, 24.96.0-24.w.2.11, 28.48.0-28.c.1.2, $\ldots$	$[]$
2541.j5	2541l2	2541.j	2541l	$6$	$8$	$3 \cdot 7 \cdot 11^{2}$	$3^{4} \cdot 7^{2} \cdot 11^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$1848$	$192$	$1$	$1$	$1$		$2$	$1280$	$0.580006$	$7189057/3969$	$1.14862$	$3.84875$	$[1, 0, 1, -487, 845]$	$y^2+xy+y=x^3-487x+845$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
3549.c5	3549c2	3549.c	3549c	$6$	$8$	$3 \cdot 7 \cdot 13^{2}$	$3^{4} \cdot 7^{2} \cdot 13^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$2184$	$192$	$1$	$2.671455529$	$1$		$4$	$2304$	$0.663533$	$7189057/3969$	$1.14862$	$3.81406$	$[1, 0, 1, -680, -1519]$	$y^2+xy+y=x^3-680x-1519$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(-21, 70)]$
3675.n5	3675j2	3675.n	3675j	$6$	$8$	$3 \cdot 5^{2} \cdot 7^{2}$	$3^{4} \cdot 5^{6} \cdot 7^{8}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$840$	$192$	$1$	$1.931482321$	$1$		$6$	$6144$	$1.158731$	$7189057/3969$	$1.14862$	$4.52172$	$[1, 0, 1, -4926, 28123]$	$y^2+xy+y=x^3-4926x+28123$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.2, 24.48.0.w.2, $\ldots$	$[(-13, 306)]$
4032.h5	4032h2	4032.h	4032h	$6$	$8$	$2^{6} \cdot 3^{2} \cdot 7$	$2^{18} \cdot 3^{10} \cdot 7^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.86	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$4096$	$0.970085$	$7189057/3969$	$1.14862$	$4.19854$	$[0, 0, 0, -2316, 9200]$	$y^2=x^3-2316x+9200$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.7, 24.96.0-24.w.2.8, 28.24.0.c.1, $\ldots$	$[]$
4032.k5	4032bm2	4032.k	4032bm	$6$	$8$	$2^{6} \cdot 3^{2} \cdot 7$	$2^{18} \cdot 3^{10} \cdot 7^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.95	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$4096$	$0.970085$	$7189057/3969$	$1.14862$	$4.19854$	$[0, 0, 0, -2316, -9200]$	$y^2=x^3-2316x-9200$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.5, 24.96.0-24.w.2.4, 28.24.0.c.1, $\ldots$	$[]$
6069.b5	6069b2	6069.b	6069b	$6$	$8$	$3 \cdot 7 \cdot 17^{2}$	$3^{4} \cdot 7^{2} \cdot 17^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$2856$	$192$	$1$	$1$	$1$		$2$	$4608$	$0.797665$	$7189057/3969$	$1.14862$	$3.76392$	$[1, 1, 1, -1162, -3754]$	$y^2+xy+y=x^3+x^2-1162x-3754$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
7056.p5	7056bx2	7056.p	7056bx	$6$	$8$	$2^{4} \cdot 3^{2} \cdot 7^{2}$	$2^{12} \cdot 3^{10} \cdot 7^{8}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.87	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$24576$	$1.596466$	$7189057/3969$	$1.14862$	$4.78162$	$[0, 0, 0, -28371, 394450]$	$y^2=x^3-28371x+394450$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.9, 12.24.0-4.b.1.2, 24.96.0-24.w.2.16, $\ldots$	$[]$
7581.d5	7581b2	7581.d	7581b	$6$	$8$	$3 \cdot 7 \cdot 19^{2}$	$3^{4} \cdot 7^{2} \cdot 19^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$3192$	$192$	$1$	$1$	$1$		$2$	$6912$	$0.853278$	$7189057/3969$	$1.14862$	$3.74490$	$[1, 1, 0, -1451, 3960]$	$y^2+xy=x^3+x^2-1451x+3960$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
7623.g5	7623p2	7623.g	7623p	$6$	$8$	$3^{2} \cdot 7 \cdot 11^{2}$	$3^{10} \cdot 7^{2} \cdot 11^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$1848$	$192$	$1$	$1$	$1$		$2$	$10240$	$1.129313$	$7189057/3969$	$1.14862$	$4.11315$	$[1, -1, 1, -4379, -22822]$	$y^2+xy+y=x^3-x^2-4379x-22822$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
8400.bn5	8400cd2	8400.bn	8400cd	$6$	$8$	$2^{4} \cdot 3 \cdot 5^{2} \cdot 7$	$2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$840$	$192$	$1$	$0.722395119$	$1$		$15$	$8192$	$0.878924$	$7189057/3969$	$1.14862$	$3.73644$	$[0, 1, 0, -1608, 4788]$	$y^2=x^3+x^2-1608x+4788$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.1, 24.48.0.w.2, $\ldots$	$[(78, 600)]$
9408.m5	9408cd2	9408.m	9408cd	$6$	$8$	$2^{6} \cdot 3 \cdot 7^{2}$	$2^{18} \cdot 3^{4} \cdot 7^{8}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.84	2Cs	$168$	$192$	$1$	$3.435798593$	$1$		$7$	$24576$	$1.393734$	$7189057/3969$	$1.14862$	$4.36537$	$[0, -1, 0, -12609, -112671]$	$y^2=x^3-x^2-12609x-112671$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.16, 24.96.0-24.w.2.14, 28.24.0.c.1, $\ldots$	$[(135, 792)]$
9408.bv5	9408bj2	9408.bv	9408bj	$6$	$8$	$2^{6} \cdot 3 \cdot 7^{2}$	$2^{18} \cdot 3^{4} \cdot 7^{8}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.93	2Cs	$168$	$192$	$1$	$2.188253267$	$1$		$9$	$24576$	$1.393734$	$7189057/3969$	$1.14862$	$4.36537$	$[0, 1, 0, -12609, 112671]$	$y^2=x^3+x^2-12609x+112671$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.14, 24.96.0-24.w.2.10, 28.24.0.c.1, $\ldots$	$[(-19, 588)]$
10647.d5	10647f2	10647.d	10647f	$6$	$8$	$3^{2} \cdot 7 \cdot 13^{2}$	$3^{10} \cdot 7^{2} \cdot 13^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$2184$	$192$	$1$	$2.194483374$	$1$		$8$	$18432$	$1.212839$	$7189057/3969$	$1.14862$	$4.07304$	$[1, -1, 1, -6116, 41006]$	$y^2+xy+y=x^3-x^2-6116x+41006$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(0, 202)]$
11025.g5	11025ba2	11025.g	11025ba	$6$	$8$	$3^{2} \cdot 5^{2} \cdot 7^{2}$	$3^{10} \cdot 5^{6} \cdot 7^{8}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$840$	$192$	$1$	$1.800848983$	$1$		$12$	$49152$	$1.708038$	$7189057/3969$	$1.14862$	$4.69620$	$[1, -1, 1, -44330, -759328]$	$y^2+xy+y=x^3-x^2-44330x-759328$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(-26, 625)]$
11109.d5	11109i2	11109.d	11109i	$6$	$8$	$3 \cdot 7 \cdot 23^{2}$	$3^{4} \cdot 7^{2} \cdot 23^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$3864$	$192$	$1$	$1$	$1$		$2$	$12672$	$0.948805$	$7189057/3969$	$1.14862$	$3.71435$	$[1, 0, 0, -2127, 7920]$	$y^2+xy=x^3-2127x+7920$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
17661.f5	17661a2	17661.f	17661a	$6$	$8$	$3 \cdot 7 \cdot 29^{2}$	$3^{4} \cdot 7^{2} \cdot 29^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$4872$	$192$	$1$	$4.513857150$	$1$		$2$	$25088$	$1.064707$	$7189057/3969$	$1.14862$	$3.68048$	$[1, 1, 0, -3381, -17640]$	$y^2+xy=x^3+x^2-3381x-17640$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(-49/2, 1239/2)]$
17787.s5	17787h2	17787.s	17787h	$6$	$8$	$3 \cdot 7^{2} \cdot 11^{2}$	$3^{4} \cdot 7^{8} \cdot 11^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$1848$	$192$	$1$	$6.555445177$	$1$		$4$	$61440$	$1.552961$	$7189057/3969$	$1.14862$	$4.27651$	$[1, 1, 0, -23839, -313760]$	$y^2+xy=x^3+x^2-23839x-313760$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(54060, 12542450)]$
18207.e5	18207e2	18207.e	18207e	$6$	$8$	$3^{2} \cdot 7 \cdot 17^{2}$	$3^{10} \cdot 7^{2} \cdot 17^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$2856$	$192$	$1$	$4.979093106$	$1$		$2$	$36864$	$1.346972$	$7189057/3969$	$1.14862$	$4.01435$	$[1, -1, 0, -10458, 90895]$	$y^2+xy=x^3-x^2-10458x+90895$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(441/8, 69041/8)]$
20181.e5	20181d2	20181.e	20181d	$6$	$8$	$3 \cdot 7 \cdot 31^{2}$	$3^{4} \cdot 7^{2} \cdot 31^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$5208$	$192$	$1$	$1$	$1$		$2$	$30720$	$1.098051$	$7189057/3969$	$1.14862$	$3.67132$	$[1, 1, 1, -3864, 18216]$	$y^2+xy+y=x^3+x^2-3864x+18216$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
22743.f5	22743n2	22743.f	22743n	$6$	$8$	$3^{2} \cdot 7 \cdot 19^{2}$	$3^{10} \cdot 7^{2} \cdot 19^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$3192$	$192$	$1$	$3.694208115$	$1$		$4$	$55296$	$1.402584$	$7189057/3969$	$1.14862$	$3.99186$	$[1, -1, 1, -13064, -119982]$	$y^2+xy+y=x^3-x^2-13064x-119982$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(-28, 486)]$
24843.p5	24843d2	24843.p	24843d	$6$	$8$	$3 \cdot 7^{2} \cdot 13^{2}$	$3^{4} \cdot 7^{8} \cdot 13^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$2184$	$192$	$1$	$1$	$1$		$2$	$110592$	$1.636488$	$7189057/3969$	$1.14862$	$4.23437$	$[1, 1, 0, -33296, 487635]$	$y^2+xy=x^3+x^2-33296x+487635$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
25200.cr5	25200dx2	25200.cr	25200dx	$6$	$8$	$2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7$	$2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$840$	$192$	$1$	$1.428017124$	$1$		$13$	$65536$	$1.428230$	$7189057/3969$	$1.14862$	$3.98182$	$[0, 0, 0, -14475, -143750]$	$y^2=x^3-14475x-143750$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(-91, 648)]$
28224.es5	28224fw2	28224.es	28224fw	$6$	$8$	$2^{6} \cdot 3^{2} \cdot 7^{2}$	$2^{18} \cdot 3^{10} \cdot 7^{8}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.92	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$196608$	$1.943041$	$7189057/3969$	$1.14862$	$4.54061$	$[0, 0, 0, -113484, 3155600]$	$y^2=x^3-113484x+3155600$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.12, 24.96.0-24.w.2.9, 28.24.0.c.1, $\ldots$	$[]$
28224.fk5	28224bz2	28224.fk	28224bz	$6$	$8$	$2^{6} \cdot 3^{2} \cdot 7^{2}$	$2^{18} \cdot 3^{10} \cdot 7^{8}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.83	2Cs	$168$	$192$	$1$	$5.948500660$	$1$		$3$	$196608$	$1.943041$	$7189057/3969$	$1.14862$	$4.54061$	$[0, 0, 0, -113484, -3155600]$	$y^2=x^3-113484x-3155600$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.10, 24.96.0-24.w.2.13, 28.24.0.c.1, $\ldots$	$[(5677/3, 358435/3)]$
28749.h5	28749e2	28749.h	28749e	$6$	$8$	$3 \cdot 7 \cdot 37^{2}$	$3^{4} \cdot 7^{2} \cdot 37^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$6216$	$192$	$1$	$1$	$4$	$2$	$2$	$50688$	$1.186518$	$7189057/3969$	$1.14862$	$3.64819$	$[1, 0, 1, -5505, -34169]$	$y^2+xy+y=x^3-5505x-34169$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
33327.k5	33327m2	33327.k	33327m	$6$	$8$	$3^{2} \cdot 7 \cdot 23^{2}$	$3^{10} \cdot 7^{2} \cdot 23^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$3864$	$192$	$1$	$1$	$1$		$2$	$101376$	$1.498112$	$7189057/3969$	$1.14862$	$3.95547$	$[1, -1, 0, -19143, -213840]$	$y^2+xy=x^3-x^2-19143x-213840$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
33600.ce5	33600em2	33600.ce	33600em	$6$	$8$	$2^{6} \cdot 3 \cdot 5^{2} \cdot 7$	$2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$840$	$192$	$1$	$1$	$1$		$3$	$65536$	$1.225498$	$7189057/3969$	$1.14862$	$3.63849$	$[0, -1, 0, -6433, 44737]$	$y^2=x^3-x^2-6433x+44737$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
33600.fm5	33600dd2	33600.fm	33600dd	$6$	$8$	$2^{6} \cdot 3 \cdot 5^{2} \cdot 7$	$2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$840$	$192$	$1$	$1.500968584$	$1$		$11$	$65536$	$1.225498$	$7189057/3969$	$1.14862$	$3.63849$	$[0, 1, 0, -6433, -44737]$	$y^2=x^3+x^2-6433x-44737$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(98, 525)]$
35301.c5	35301e2	35301.c	35301e	$6$	$8$	$3 \cdot 7 \cdot 41^{2}$	$3^{4} \cdot 7^{2} \cdot 41^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$6888$	$192$	$1$	$1$	$1$		$2$	$70400$	$1.237844$	$7189057/3969$	$1.14862$	$3.63548$	$[1, 1, 1, -6759, -48684]$	$y^2+xy+y=x^3+x^2-6759x-48684$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
38829.h5	38829f2	38829.h	38829f	$6$	$8$	$3 \cdot 7 \cdot 43^{2}$	$3^{4} \cdot 7^{2} \cdot 43^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$7224$	$192$	$1$	$11.34344491$	$1$		$2$	$80640$	$1.261658$	$7189057/3969$	$1.14862$	$3.62975$	$[1, 1, 0, -7434, 49815]$	$y^2+xy=x^3+x^2-7434x+49815$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(34065/88, 87934995/88)]$
40656.l5	40656bk2	40656.l	40656bk	$6$	$8$	$2^{4} \cdot 3 \cdot 7 \cdot 11^{2}$	$2^{12} \cdot 3^{4} \cdot 7^{2} \cdot 11^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$1848$	$192$	$1$	$1.948444921$	$1$		$9$	$81920$	$1.273153$	$7189057/3969$	$1.14862$	$3.62702$	$[0, -1, 0, -7784, -54096]$	$y^2=x^3-x^2-7784x-54096$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(-70, 378)]$
42483.d5	42483v2	42483.d	42483v	$6$	$8$	$3 \cdot 7^{2} \cdot 17^{2}$	$3^{4} \cdot 7^{8} \cdot 17^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$2856$	$192$	$1$	$2.158886372$	$1$		$8$	$221184$	$1.770620$	$7189057/3969$	$1.14862$	$4.17222$	$[1, 0, 0, -56939, 1116744]$	$y^2+xy=x^3-56939x+1116744$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(277, 2434)]$
46389.d5	46389k2	46389.d	46389k	$6$	$8$	$3 \cdot 7 \cdot 47^{2}$	$3^{4} \cdot 7^{2} \cdot 47^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$7896$	$192$	$1$	$3.915004228$	$1$		$4$	$105984$	$1.306131$	$7189057/3969$	$1.14862$	$3.61932$	$[1, 0, 0, -8882, 68355]$	$y^2+xy=x^3-8882x+68355$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(265, 3910)]$
52983.e5	52983a2	52983.e	52983a	$6$	$8$	$3^{2} \cdot 7 \cdot 29^{2}$	$3^{10} \cdot 7^{2} \cdot 29^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$4872$	$192$	$1$	$1$	$1$		$2$	$200704$	$1.614012$	$7189057/3969$	$1.14862$	$3.91474$	$[1, -1, 1, -30434, 445848]$	$y^2+xy+y=x^3-x^2-30434x+445848$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
53067.r5	53067q2	53067.r	53067q	$6$	$8$	$3 \cdot 7^{2} \cdot 19^{2}$	$3^{4} \cdot 7^{8} \cdot 19^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$3192$	$192$	$1$	$1$	$4$	$2$	$2$	$331776$	$1.826233$	$7189057/3969$	$1.14862$	$4.14826$	$[1, 0, 1, -71125, -1571629]$	$y^2+xy+y=x^3-71125x-1571629$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
53361.p5	53361bo2	53361.p	53361bo	$6$	$8$	$3^{2} \cdot 7^{2} \cdot 11^{2}$	$3^{10} \cdot 7^{8} \cdot 11^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$1848$	$192$	$1$	$1$	$1$		$2$	$491520$	$2.102268$	$7189057/3969$	$1.14862$	$4.45046$	$[1, -1, 1, -214556, 8256966]$	$y^2+xy+y=x^3-x^2-214556x+8256966$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
56784.bh5	56784bk2	56784.bh	56784bk	$6$	$8$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{12} \cdot 3^{4} \cdot 7^{2} \cdot 13^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$2184$	$192$	$1$	$1$	$1$		$3$	$147456$	$1.356680$	$7189057/3969$	$1.14862$	$3.60788$	$[0, -1, 0, -10872, 97200]$	$y^2=x^3-x^2-10872x+97200$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[]$
58800.m5	58800gb2	58800.m	58800gb	$6$	$8$	$2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2}$	$2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 7^{8}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$840$	$192$	$1$	$1.595662697$	$1$		$13$	$393216$	$1.851879$	$7189057/3969$	$1.14862$	$4.13753$	$[0, -1, 0, -78808, -1799888]$	$y^2=x^3-x^2-78808x-1799888$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.2, 24.48.0.w.2, $\ldots$	$[(418, 6174)]$
58989.n5	58989a2	58989.n	58989a	$6$	$8$	$3 \cdot 7 \cdot 53^{2}$	$3^{4} \cdot 7^{2} \cdot 53^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$8904$	$192$	$1$	$12.39907719$	$1$		$2$	$149760$	$1.366203$	$7189057/3969$	$1.14862$	$3.60578$	$[1, 1, 0, -11294, -103785]$	$y^2+xy=x^3+x^2-11294x-103785$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(-216665/74, 223621995/74)]$

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