Elliptic curve search results

Results (45 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
246.f4	246e4	246.f	246e	$4$	$4$	\( 2 \cdot 3 \cdot 41 \)	\( - 2 \cdot 3^{2} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.59	2B	$328$	$48$	$0$	$1$	$1$		$0$	$96$	$0.163142$	$25076571983/50863698$	$0.97224$	$4.51625$	$[1, 0, 0, 61, -285]$	\(y^2+xy=x^3+61x-285\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 328.48.0.?	$[ ]$
738.d4	738c4	738.d	738c	$4$	$4$	\( 2 \cdot 3^{2} \cdot 41 \)	\( - 2 \cdot 3^{8} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$984$	$48$	$0$	$1$	$1$		$0$	$768$	$0.712448$	$25076571983/50863698$	$0.97224$	$4.76309$	$[1, -1, 0, 549, 7695]$	\(y^2+xy=x^3-x^2+549x+7695\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$	$[ ]$
1968.b4	1968i4	1968.b	1968i	$4$	$4$	\( 2^{4} \cdot 3 \cdot 41 \)	\( - 2^{13} \cdot 3^{2} \cdot 41^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.48	2B	$328$	$48$	$0$	$3.157199636$	$1$		$7$	$2304$	$0.856289$	$25076571983/50863698$	$0.97224$	$4.37472$	$[0, -1, 0, 976, 18240]$	\(y^2=x^3-x^2+976x+18240\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 328.48.0.?	$[(10, 170)]$
5904.m4	5904m4	5904.m	5904m	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 41 \)	\( - 2^{13} \cdot 3^{8} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$984$	$48$	$0$	$1.623481197$	$1$		$7$	$18432$	$1.405596$	$25076571983/50863698$	$0.97224$	$4.58035$	$[0, 0, 0, 8781, -501262]$	\(y^2=x^3+8781x-501262\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$	$[(49, 216)]$
6150.a4	6150i4	6150.a	6150i	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 41 \)	\( - 2 \cdot 3^{2} \cdot 5^{6} \cdot 41^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1640$	$48$	$0$	$1.710935737$	$1$		$16$	$12288$	$0.967861$	$25076571983/50863698$	$0.97224$	$3.95682$	$[1, 1, 0, 1525, -35625]$	\(y^2+xy=x^3+x^2+1525x-35625\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 40.24.0-8.d.1.1, $\ldots$	$[(29, 170), (25, 125)]$
7872.p4	7872g4	7872.p	7872g	$4$	$4$	\( 2^{6} \cdot 3 \cdot 41 \)	\( - 2^{19} \cdot 3^{2} \cdot 41^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.48	2B	$328$	$48$	$0$	$1$	$4$	$2$	$3$	$18432$	$1.202864$	$25076571983/50863698$	$0.97224$	$4.16228$	$[0, -1, 0, 3903, -149823]$	\(y^2=x^3-x^2+3903x-149823\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 328.48.0.?	$[ ]$
7872.bd4	7872bi4	7872.bd	7872bi	$4$	$4$	\( 2^{6} \cdot 3 \cdot 41 \)	\( - 2^{19} \cdot 3^{2} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.59	2B	$328$	$48$	$0$	$1$	$1$		$1$	$18432$	$1.202864$	$25076571983/50863698$	$0.97224$	$4.16228$	$[0, 1, 0, 3903, 149823]$	\(y^2=x^3+x^2+3903x+149823\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 328.48.0.?	$[ ]$
10086.m4	10086n4	10086.m	10086n	$4$	$4$	\( 2 \cdot 3 \cdot 41^{2} \)	\( - 2 \cdot 3^{2} \cdot 41^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.106	2B	$328$	$48$	$0$	$1$	$4$	$2$	$0$	$161280$	$2.019928$	$25076571983/50863698$	$0.97224$	$5.11394$	$[1, 1, 1, 102506, -19950043]$	\(y^2+xy+y=x^3+x^2+102506x-19950043\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 164.12.0.?, 328.48.0.?	$[ ]$
12054.bd4	12054ba4	12054.bd	12054ba	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 41 \)	\( - 2 \cdot 3^{2} \cdot 7^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$2296$	$48$	$0$	$6.172231741$	$1$		$0$	$27648$	$1.136097$	$25076571983/50863698$	$0.97224$	$3.88830$	$[1, 1, 1, 2988, 100743]$	\(y^2+xy+y=x^3+x^2+2988x+100743\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.1, 56.24.0-8.d.1.1, $\ldots$	$[(291/2, 6445/2)]$
18450.bd4	18450bs4	18450.bd	18450bs	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 41 \)	\( - 2 \cdot 3^{8} \cdot 5^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$4920$	$48$	$0$	$4.830098706$	$1$		$0$	$98304$	$1.517168$	$25076571983/50863698$	$0.97224$	$4.18533$	$[1, -1, 1, 13720, 975597]$	\(y^2+xy+y=x^3-x^2+13720x+975597\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(-129/2, 5775/2)]$
23616.g4	23616bu3	23616.g	23616bu	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 41 \)	\( - 2^{19} \cdot 3^{8} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$984$	$48$	$0$	$2.022788373$	$1$		$3$	$147456$	$1.752169$	$25076571983/50863698$	$0.97224$	$4.36278$	$[0, 0, 0, 35124, -4010096]$	\(y^2=x^3+35124x-4010096\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$	$[(242, 4320)]$
23616.w4	23616k3	23616.w	23616k	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 41 \)	\( - 2^{19} \cdot 3^{8} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$984$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.752169$	$25076571983/50863698$	$0.97224$	$4.36278$	$[0, 0, 0, 35124, 4010096]$	\(y^2=x^3+35124x+4010096\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$	$[ ]$
29766.r4	29766t3	29766.r	29766t	$4$	$4$	\( 2 \cdot 3 \cdot 11^{2} \cdot 41 \)	\( - 2 \cdot 3^{2} \cdot 11^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$3608$	$48$	$0$	$1.814247762$	$1$		$4$	$122880$	$1.362089$	$25076571983/50863698$	$0.97224$	$3.81035$	$[1, 0, 1, 7378, 386714]$	\(y^2+xy+y=x^3+7378x+386714\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$	$[(-12, 550)]$
30258.f4	30258g3	30258.f	30258g	$4$	$4$	\( 2 \cdot 3^{2} \cdot 41^{2} \)	\( - 2 \cdot 3^{8} \cdot 41^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$984$	$48$	$0$	$1$	$1$		$0$	$1290240$	$2.569233$	$25076571983/50863698$	$0.97224$	$5.20829$	$[1, -1, 0, 922554, 539573710]$	\(y^2+xy=x^3-x^2+922554x+539573710\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 328.24.0.?, $\ldots$	$[ ]$
36162.i4	36162bh3	36162.i	36162bh	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 41 \)	\( - 2 \cdot 3^{8} \cdot 7^{6} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$6888$	$48$	$0$	$1$	$1$		$0$	$221184$	$1.685404$	$25076571983/50863698$	$0.97224$	$4.10933$	$[1, -1, 0, 26892, -2693174]$	\(y^2+xy=x^3-x^2+26892x-2693174\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 84.12.0.?, 168.24.0.?, $\ldots$	$[ ]$
41574.i4	41574h3	41574.i	41574h	$4$	$4$	\( 2 \cdot 3 \cdot 13^{2} \cdot 41 \)	\( - 2 \cdot 3^{2} \cdot 13^{6} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$4264$	$48$	$0$	$1$	$4$	$2$	$0$	$221184$	$1.445618$	$25076571983/50863698$	$0.97224$	$3.78489$	$[1, 0, 1, 10305, -636452]$	\(y^2+xy+y=x^3+10305x-636452\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$	$[ ]$
49200.ea4	49200dr3	49200.ea	49200dr	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 41 \)	\( - 2^{13} \cdot 3^{2} \cdot 5^{6} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1640$	$48$	$0$	$1$	$1$		$1$	$294912$	$1.661009$	$25076571983/50863698$	$0.97224$	$3.96513$	$[0, 1, 0, 24392, 2328788]$	\(y^2=x^3+x^2+24392x+2328788\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$	$[ ]$
71094.t4	71094q3	71094.t	71094q	$4$	$4$	\( 2 \cdot 3 \cdot 17^{2} \cdot 41 \)	\( - 2 \cdot 3^{2} \cdot 17^{6} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$5576$	$48$	$0$	$1$	$4$	$2$	$0$	$491520$	$1.579748$	$25076571983/50863698$	$0.97224$	$3.74719$	$[1, 1, 1, 17623, -1417831]$	\(y^2+xy+y=x^3+x^2+17623x-1417831\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 68.12.0-4.c.1.1, 136.24.0.?, $\ldots$	$[ ]$
80688.bb4	80688bd3	80688.bb	80688bd	$4$	$4$	\( 2^{4} \cdot 3 \cdot 41^{2} \)	\( - 2^{13} \cdot 3^{2} \cdot 41^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.106	2B	$328$	$48$	$0$	$16.64436023$	$1$		$1$	$3870720$	$2.713074$	$25076571983/50863698$	$0.97224$	$4.90892$	$[0, 1, 0, 1640096, 1280082932]$	\(y^2=x^3+x^2+1640096x+1280082932\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 164.12.0.?, 328.48.0.?	$[(18586444/115, 121317218022/115)]$
88806.c4	88806d3	88806.c	88806d	$4$	$4$	\( 2 \cdot 3 \cdot 19^{2} \cdot 41 \)	\( - 2 \cdot 3^{2} \cdot 19^{6} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$6232$	$48$	$0$	$1$	$1$		$0$	$663552$	$1.635361$	$25076571983/50863698$	$0.97224$	$3.73261$	$[1, 1, 0, 22014, 1998846]$	\(y^2+xy=x^3+x^2+22014x+1998846\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 76.12.0.?, 152.24.0.?, $\ldots$	$[ ]$
89298.ci4	89298cs3	89298.ci	89298cs	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 41 \)	\( - 2 \cdot 3^{8} \cdot 11^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$10824$	$48$	$0$	$3.444637569$	$1$		$0$	$983040$	$1.911396$	$25076571983/50863698$	$0.97224$	$4.02137$	$[1, -1, 1, 66406, -10441285]$	\(y^2+xy+y=x^3-x^2+66406x-10441285\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 132.12.0.?, 264.24.0.?, $\ldots$	$[(1035/2, 38165/2)]$
96432.cx4	96432cm3	96432.cx	96432cm	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 41 \)	\( - 2^{13} \cdot 3^{2} \cdot 7^{6} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$2296$	$48$	$0$	$1$	$4$	$2$	$1$	$663552$	$1.829245$	$25076571983/50863698$	$0.97224$	$3.90854$	$[0, 1, 0, 47808, -6351948]$	\(y^2=x^3+x^2+47808x-6351948\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.2, 56.24.0-8.d.1.2, $\ldots$	$[ ]$
124722.be4	124722bv3	124722.be	124722bv	$4$	$4$	\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 41 \)	\( - 2 \cdot 3^{8} \cdot 13^{6} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$12792$	$48$	$0$	$1$	$1$		$0$	$1769472$	$1.994923$	$25076571983/50863698$	$0.97224$	$3.99229$	$[1, -1, 1, 92749, 17184197]$	\(y^2+xy+y=x^3-x^2+92749x+17184197\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 156.12.0.?, 312.24.0.?, $\ldots$	$[ ]$
130134.y4	130134y4	130134.y	130134y	$4$	$4$	\( 2 \cdot 3 \cdot 23^{2} \cdot 41 \)	\( - 2 \cdot 3^{2} \cdot 23^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$7544$	$48$	$0$	$13.28943380$	$1$		$0$	$1216512$	$1.730888$	$25076571983/50863698$	$0.97224$	$3.70884$	$[1, 0, 0, 32258, 3532118]$	\(y^2+xy=x^3+32258x+3532118\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 92.12.0.?, 184.24.0.?, $\ldots$	$[(24104383/34, 117938744329/34)]$
147600.ge4	147600ct3	147600.ge	147600ct	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \)	\( - 2^{13} \cdot 3^{8} \cdot 5^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$4920$	$48$	$0$	$8.026850387$	$1$		$1$	$2359296$	$2.210316$	$25076571983/50863698$	$0.97224$	$4.15295$	$[0, 0, 0, 219525, -62657750]$	\(y^2=x^3+219525x-62657750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(11895/7, 762250/7)]$
196800.fc4	196800fo4	196800.fc	196800fo	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 41 \)	\( - 2^{19} \cdot 3^{2} \cdot 5^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1640$	$48$	$0$	$2.056022078$	$1$		$5$	$2359296$	$2.007584$	$25076571983/50863698$	$0.97224$	$3.85537$	$[0, -1, 0, 97567, 18532737]$	\(y^2=x^3-x^2+97567x+18532737\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 40.24.0-8.d.1.1, $\ldots$	$[(11, 4428)]$
196800.ga4	196800gt3	196800.ga	196800gt	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 41 \)	\( - 2^{19} \cdot 3^{2} \cdot 5^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1640$	$48$	$0$	$6.695159040$	$1$		$1$	$2359296$	$2.007584$	$25076571983/50863698$	$0.97224$	$3.85537$	$[0, 1, 0, 97567, -18532737]$	\(y^2=x^3+x^2+97567x-18532737\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$	$[(6277/3, 532700/3)]$
206886.b4	206886u3	206886.b	206886u	$4$	$4$	\( 2 \cdot 3 \cdot 29^{2} \cdot 41 \)	\( - 2 \cdot 3^{2} \cdot 29^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$9512$	$48$	$0$	$13.93717509$	$1$		$0$	$2322432$	$1.846790$	$25076571983/50863698$	$0.97224$	$3.68199$	$[1, 1, 0, 51284, -7053446]$	\(y^2+xy=x^3+x^2+51284x-7053446\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 116.12.0.?, 232.24.0.?, $\ldots$	$[(961041/35, 957874184/35)]$
213282.e4	213282be4	213282.e	213282be	$4$	$4$	\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 41 \)	\( - 2 \cdot 3^{8} \cdot 17^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$16728$	$48$	$0$	$0.691212705$	$1$		$8$	$3932160$	$2.129055$	$25076571983/50863698$	$0.97224$	$3.94890$	$[1, -1, 0, 158607, 38440039]$	\(y^2+xy=x^3-x^2+158607x+38440039\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 204.12.0.?, 328.24.0.?, $\ldots$	$[(-21, 5935)]$
236406.q4	236406q4	236406.q	236406q	$4$	$4$	\( 2 \cdot 3 \cdot 31^{2} \cdot 41 \)	\( - 2 \cdot 3^{2} \cdot 31^{6} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$10168$	$48$	$0$	$1$	$4$	$2$	$0$	$2764800$	$1.880136$	$25076571983/50863698$	$0.97224$	$3.67464$	$[1, 1, 1, 58601, 8666255]$	\(y^2+xy+y=x^3+x^2+58601x+8666255\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 124.12.0.?, 248.24.0.?, $\ldots$	$[ ]$
238128.r4	238128r3	238128.r	238128r	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 41 \)	\( - 2^{13} \cdot 3^{2} \cdot 11^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$3608$	$48$	$0$	$2.329501243$	$1$		$3$	$2949120$	$2.055237$	$25076571983/50863698$	$0.97224$	$3.84220$	$[0, -1, 0, 118056, -24749712]$	\(y^2=x^3-x^2+118056x-24749712\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$	$[(708, 20328)]$
242064.cf4	242064cf3	242064.cf	242064cf	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 41^{2} \)	\( - 2^{13} \cdot 3^{8} \cdot 41^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$984$	$48$	$0$	$16.18674784$	$1$		$1$	$30965760$	$3.262383$	$25076571983/50863698$	$0.97224$	$5.00561$	$[0, 0, 0, 14760861, -34547478302]$	\(y^2=x^3+14760861x-34547478302\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 328.24.0.?, $\ldots$	$[(10298900249/511, 1049822521705224/511)]$
252150.bd4	252150bd3	252150.bd	252150bd	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 41^{2} \)	\( - 2 \cdot 3^{2} \cdot 5^{6} \cdot 41^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1640$	$48$	$0$	$1$	$16$	$2$	$0$	$20643840$	$2.824646$	$25076571983/50863698$	$0.97224$	$4.56685$	$[1, 0, 1, 2562649, -2498880652]$	\(y^2+xy+y=x^3+2562649x-2498880652\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 40.24.0-8.d.1.3, 328.24.0.?, $\ldots$	$[ ]$
266418.bi4	266418bi3	266418.bi	266418bi	$4$	$4$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 41 \)	\( - 2 \cdot 3^{8} \cdot 19^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$18696$	$48$	$0$	$8.750802339$	$1$		$0$	$5308416$	$2.184669$	$25076571983/50863698$	$0.97224$	$3.93200$	$[1, -1, 1, 198121, -53770719]$	\(y^2+xy+y=x^3-x^2+198121x-53770719\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 228.12.0.?, 328.24.0.?, $\ldots$	$[(369917/28, 258768693/28)]$
289296.bf4	289296bf4	289296.bf	289296bf	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 41 \)	\( - 2^{13} \cdot 3^{8} \cdot 7^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$6888$	$48$	$0$	$0.780518760$	$1$		$9$	$5308416$	$2.378551$	$25076571983/50863698$	$0.97224$	$4.09126$	$[0, 0, 0, 430269, 171932866]$	\(y^2=x^3+430269x+171932866\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 84.12.0.?, 168.24.0.?, $\ldots$	$[(-199, 8856)]$
301350.bw4	301350bw4	301350.bw	301350bw	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 41 \)	\( - 2 \cdot 3^{2} \cdot 5^{6} \cdot 7^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$11480$	$48$	$0$	$2.020530919$	$4$	$2$	$4$	$3538944$	$1.940817$	$25076571983/50863698$	$0.97224$	$3.66166$	$[1, 0, 1, 74699, 12443498]$	\(y^2+xy+y=x^3+74699x+12443498\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 140.12.0.?, 280.24.0.?, $\ldots$	$[(172, 5426)]$
322752.bz4	322752bz4	322752.bz	322752bz	$4$	$4$	\( 2^{6} \cdot 3 \cdot 41^{2} \)	\( - 2^{19} \cdot 3^{2} \cdot 41^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.118	2B	$328$	$48$	$0$	$1$	$16$	$2$	$1$	$30965760$	$3.059650$	$25076571983/50863698$	$0.97224$	$4.70030$	$[0, -1, 0, 6560383, 10234103073]$	\(y^2=x^3-x^2+6560383x+10234103073\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 164.12.0.?, 328.48.0.?	$[ ]$
322752.do4	322752do3	322752.do	322752do	$4$	$4$	\( 2^{6} \cdot 3 \cdot 41^{2} \)	\( - 2^{19} \cdot 3^{2} \cdot 41^{10} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.118	2B	$328$	$48$	$0$	$38.41612221$	$1$		$3$	$30965760$	$3.059650$	$25076571983/50863698$	$0.97224$	$4.70030$	$[0, 1, 0, 6560383, -10234103073]$	\(y^2=x^3+x^2+6560383x-10234103073\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 164.12.0.?, 328.48.0.?	$[(54691/3, 13609376/3), (2157, 118140)]$
332592.be4	332592be4	332592.be	332592be	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 41 \)	\( - 2^{13} \cdot 3^{2} \cdot 13^{6} \cdot 41^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$4264$	$48$	$0$	$1$	$1$		$1$	$5308416$	$2.138763$	$25076571983/50863698$	$0.97224$	$3.82007$	$[0, -1, 0, 164888, 40732912]$	\(y^2=x^3-x^2+164888x+40732912\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$	$[ ]$
336774.m4	336774m3	336774.m	336774m	$4$	$4$	\( 2 \cdot 3 \cdot 37^{2} \cdot 41 \)	\( - 2 \cdot 3^{2} \cdot 37^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$12136$	$48$	$0$	$15.61840306$	$1$		$0$	$4976640$	$1.968601$	$25076571983/50863698$	$0.97224$	$3.65588$	$[1, 0, 1, 83480, -14686576]$	\(y^2+xy+y=x^3+83480x-14686576\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 148.12.0.?, 296.24.0.?, $\ldots$	$[(244284579/170, 3799544922743/170)]$
385728.x4	385728x3	385728.x	385728x	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 41 \)	\( - 2^{19} \cdot 3^{2} \cdot 7^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$2296$	$48$	$0$	$8.881806209$	$1$		$1$	$5308416$	$2.175819$	$25076571983/50863698$	$0.97224$	$3.81062$	$[0, -1, 0, 191231, -51006815]$	\(y^2=x^3-x^2+191231x-51006815\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.1, 56.24.0-8.d.1.1, $\ldots$	$[(5439/5, 115088/5)]$
385728.fp4	385728fp4	385728.fp	385728fp	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 41 \)	\( - 2^{19} \cdot 3^{2} \cdot 7^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$2296$	$48$	$0$	$6.353866225$	$1$		$3$	$5308416$	$2.175819$	$25076571983/50863698$	$0.97224$	$3.81062$	$[0, 1, 0, 191231, 51006815]$	\(y^2=x^3+x^2+191231x+51006815\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.2, 56.24.0-8.d.1.2, $\ldots$	$[(-206, 1707)]$
390402.c4	390402c3	390402.c	390402c	$4$	$4$	\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \)	\( - 2 \cdot 3^{8} \cdot 23^{6} \cdot 41^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$22632$	$48$	$0$	$5.127362739$	$1$		$2$	$9732096$	$2.280197$	$25076571983/50863698$	$0.97224$	$3.90434$	$[1, -1, 0, 290322, -95367186]$	\(y^2+xy=x^3-x^2+290322x-95367186\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 276.12.0.?, 328.24.0.?, $\ldots$	$[(3571, 213782)]$
454854.d4	454854d4	454854.d	454854d	$4$	$4$	\( 2 \cdot 3 \cdot 41 \cdot 43^{2} \)	\( - 2 \cdot 3^{2} \cdot 41^{4} \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$14104$	$48$	$0$	$2.880063743$	$1$		$2$	$7741440$	$2.043743$	$25076571983/50863698$	$0.97224$	$3.64075$	$[1, 1, 0, 112751, 23110543]$	\(y^2+xy=x^3+x^2+112751x+23110543\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 172.12.0.?, 328.24.0.?, $\ldots$	$[(91, 5797)]$
494214.ef4	494214ef4	494214.ef	494214ef	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 41^{2} \)	\( - 2 \cdot 3^{2} \cdot 7^{6} \cdot 41^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$2296$	$48$	$0$	$1$	$36$	$2, 3$	$0$	$46448640$	$2.992882$	$25076571983/50863698$	$0.97224$	$4.48643$	$[1, 0, 0, 5022793, 6857933067]$	\(y^2+xy=x^3+5022793x+6857933067\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 56.24.0-8.d.1.3, 328.24.0.?, $\ldots$	$[ ]$

  Download displayed columns for results to