Elliptic curve search results

Results (27 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
2310.o1	2310o4	2310.o	2310o	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.48.0.161	2B	$1680$	$192$	$1$	$1$	$1$		$2$	$184320$	$2.857433$	$78519570041710065450485106721/96428056919040$	$1.05292$	$8.59046$	$[1, 1, 1, -89210930, 324283935935]$	\(y^2+xy+y=x^3+x^2-89210930x+324283935935\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 60.24.0-60.h.1.3, 112.96.0.?, $\ldots$	$[]$
6930.d1	6930i3	6930.d	6930i	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{9} \cdot 5 \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$1680$	$192$	$1$	$1$	$1$		$0$	$1474560$	$3.406738$	$78519570041710065450485106721/96428056919040$	$1.05292$	$8.26866$	$[1, -1, 0, -802898370, -8756469168620]$	\(y^2+xy=x^3-x^2-802898370x-8756469168620\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, $\ldots$	$[]$
11550.u1	11550s4	11550.u	11550s	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{7} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$1680$	$192$	$1$	$1$	$1$		$0$	$4423680$	$3.662151$	$78519570041710065450485106721/96428056919040$	$1.05292$	$8.14477$	$[1, 0, 1, -2230273251, 40539952538398]$	\(y^2+xy+y=x^3-2230273251x+40539952538398\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, $\ldots$	$[]$
16170.bx1	16170bw3	16170.bx	16170bw	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 7^{14} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.123	2B	$1680$	$192$	$1$	$1$	$4$	$2$	$0$	$8847360$	$3.830387$	$78519570041710065450485106721/96428056919040$	$1.05292$	$8.07030$	$[1, 0, 0, -4371335571, -111242504032479]$	\(y^2+xy=x^3-4371335571x-111242504032479\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0-8.bb.2.6, 28.12.0-4.c.1.2, $\ldots$	$[]$
18480.cs1	18480da3	18480.cs	18480da	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{22} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.177	2B	$1680$	$192$	$1$	$11.00404136$	$4$	$2$	$1$	$4423680$	$3.550579$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.61884$	$[0, 1, 0, -1427374880, -20757026649612]$	\(y^2=x^3+x^2-1427374880x-20757026649612\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 60.24.0-60.h.1.1, 112.96.0.?, $\ldots$	$[(14018107/17, 24135322596/17)]$
25410.o1	25410m4	25410.o	25410m	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$18480$	$192$	$1$	$61.11381104$	$1$		$0$	$22118400$	$4.056381$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.97805$	$[1, 1, 0, -10794522532, -431675891342384]$	\(y^2+xy=x^3+x^2-10794522532x-431675891342384\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 44.12.0-4.c.1.2, 60.12.0.h.1, $\ldots$	$[(12976475867624937253639167075/260420639107, 1184142095332757691842475131647699662415472/260420639107)]$
34650.dk1	34650cv4	34650.dk	34650cv	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{7} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.183	2B	$1680$	$192$	$1$	$1$	$4$	$2$	$0$	$35389440$	$4.211456$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.91936$	$[1, -1, 1, -20072459255, -1094578718536753]$	\(y^2+xy+y=x^3-x^2-20072459255x-1094578718536753\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.6, 60.24.0-60.h.1.1, 112.96.0.?, $\ldots$	$[]$
48510.bw1	48510bs4	48510.bw	48510bs	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{9} \cdot 5 \cdot 7^{14} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$1680$	$192$	$1$	$10.64254396$	$1$		$0$	$70778880$	$4.379692$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.85950$	$[1, -1, 0, -39342020139, 3003547608876933]$	\(y^2+xy=x^3-x^2-39342020139x+3003547608876933\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 48.48.0-8.bb.2.4, 60.12.0.h.1, $\ldots$	$[(96609367/23, 530582765082/23)]$
55440.j1	55440cs4	55440.j	55440cs	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{22} \cdot 3^{9} \cdot 5 \cdot 7^{8} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$1680$	$192$	$1$	$15.82235092$	$1$		$1$	$35389440$	$4.099884$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.45603$	$[0, 0, 0, -12846373923, 560426873165602]$	\(y^2=x^3-12846373923x+560426873165602\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, $\ldots$	$[(71376671/23, 435896729406/23)]$
73920.n1	73920dz4	73920.n	73920dz	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{28} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.225	2B	$1680$	$192$	$1$	$1$	$4$	$2$	$1$	$35389440$	$3.897152$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.04769$	$[0, -1, 0, -5709499521, -166050503697375]$	\(y^2=x^3-x^2-5709499521x-166050503697375\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.2, 60.12.0.h.1, 112.96.0.?, $\ldots$	$[]$
73920.gh1	73920cv4	73920.gh	73920cv	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{28} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.210	2B	$1680$	$192$	$1$	$1$	$1$		$1$	$35389440$	$3.897152$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.04769$	$[0, 1, 0, -5709499521, 166050503697375]$	\(y^2=x^3+x^2-5709499521x+166050503697375\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.1, 60.12.0.h.1, 112.96.0.?, $\ldots$	$[]$
76230.dc1	76230dl4	76230.dc	76230dl	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 5 \cdot 7^{8} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$18480$	$192$	$1$	$1$	$1$		$0$	$176947200$	$4.605682$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.78474$	$[1, -1, 1, -97150702793, 11655151915541577]$	\(y^2+xy+y=x^3-x^2-97150702793x+11655151915541577\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 60.12.0.h.1, 112.48.0.?, $\ldots$	$[]$
80850.g1	80850j4	80850.g	80850j	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{7} \cdot 7^{14} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$1680$	$192$	$1$	$1$	$9$	$3$	$0$	$212336640$	$4.635109$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.77544$	$[1, 1, 0, -109283389275, -13905313004059875]$	\(y^2+xy=x^3+x^2-109283389275x-13905313004059875\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 48.48.0-8.bb.2.7, 60.12.0.h.1, $\ldots$	$[]$
92400.dt1	92400ek4	92400.dt	92400ek	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{22} \cdot 3^{3} \cdot 5^{7} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$1680$	$192$	$1$	$1$	$16$	$2$	$1$	$106168320$	$4.355301$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.39098$	$[0, -1, 0, -35684372008, -2594556962457488]$	\(y^2=x^3-x^2-35684372008x-2594556962457488\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, $\ldots$	$[]$
127050.ir1	127050hz4	127050.ir	127050hz	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 5^{7} \cdot 7^{8} \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$18480$	$192$	$1$	$4.624852179$	$1$		$2$	$530841600$	$4.861099$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.70716$	$[1, 0, 0, -269863063313, -53958946691671383]$	\(y^2+xy=x^3-269863063313x-53958946691671383\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 60.12.0.h.1, 112.48.0.?, $\ldots$	$[(626482, 150876259)]$
129360.bw1	129360ef4	129360.bw	129360ef	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{22} \cdot 3^{3} \cdot 5 \cdot 7^{14} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.128	2B	$1680$	$192$	$1$	$1$	$4$	$2$	$1$	$212336640$	$4.523537$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.35121$	$[0, -1, 0, -69941369136, 7119520258078656]$	\(y^2=x^3-x^2-69941369136x+7119520258078656\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0-8.bb.2.5, 28.12.0-4.c.1.1, $\ldots$	$[]$
177870.cq1	177870gf3	177870.cq	177870gf	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 7^{14} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$18480$	$192$	$1$	$1$	$1$		$0$	$1061683200$	$5.029335$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.65964$	$[1, 0, 1, -528931604094, 148063243935625456]$	\(y^2+xy+y=x^3-528931604094x+148063243935625456\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 60.12.0.h.1, 112.48.0.?, $\ldots$	$[]$
203280.gz1	203280h3	203280.gz	203280h	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{22} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$18480$	$192$	$1$	$1$	$1$		$1$	$530841600$	$4.749527$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.30124$	$[0, 1, 0, -172712360520, 27626911621191540]$	\(y^2=x^3+x^2-172712360520x+27626911621191540\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 44.12.0-4.c.1.1, 60.12.0.h.1, $\ldots$	$[]$
221760.jk1	221760bz3	221760.jk	221760bz	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{28} \cdot 3^{9} \cdot 5 \cdot 7^{8} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$1680$	$192$	$1$	$19.79585818$	$1$		$1$	$283115520$	$4.446457$	$78519570041710065450485106721/96428056919040$	$1.05292$	$6.95418$	$[0, 0, 0, -51385495692, 4483414985324816]$	\(y^2=x^3-51385495692x+4483414985324816\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 24.48.0-8.bb.2.1, 40.48.0-8.bb.2.2, $\ldots$	$[(437872476380/1829, 70005181545376/1829)]$
221760.lu1	221760is4	221760.lu	221760is	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{28} \cdot 3^{9} \cdot 5 \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$1680$	$192$	$1$	$1$	$9$	$3$	$1$	$283115520$	$4.446457$	$78519570041710065450485106721/96428056919040$	$1.05292$	$6.95418$	$[0, 0, 0, -51385495692, -4483414985324816]$	\(y^2=x^3-51385495692x-4483414985324816\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 24.48.0-8.bb.2.2, 40.48.0-8.bb.2.1, $\ldots$	$[]$
242550.mo1	242550mo3	242550.mo	242550mo	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{7} \cdot 7^{14} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.124	2B	$1680$	$192$	$1$	$2.941090237$	$1$		$4$	$1698693120$	$5.184410$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.61813$	$[1, -1, 1, -983550503480, 375442467559113147]$	\(y^2+xy+y=x^3-x^2-983550503480x+375442467559113147\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0-8.bb.2.4, 28.12.0-4.c.1.1, $\ldots$	$[(572589, -277495)]$
277200.jv1	277200jv3	277200.jv	277200jv	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{22} \cdot 3^{9} \cdot 5^{7} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.167	2B	$1680$	$192$	$1$	$1$	$1$		$3$	$849346560$	$4.904602$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.26904$	$[0, 0, 0, -321159348075, 70053359145700250]$	\(y^2=x^3-321159348075x+70053359145700250\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.5, 60.24.0-60.h.1.3, 112.96.0.?, $\ldots$	$[]$
369600.dx1	369600dx3	369600.dx	369600dx	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{28} \cdot 3^{3} \cdot 5^{7} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$1680$	$192$	$1$	$1$	$1$		$1$	$849346560$	$4.701874$	$78519570041710065450485106721/96428056919040$	$1.05292$	$6.91616$	$[0, -1, 0, -142737488033, 20756598437147937]$	\(y^2=x^3-x^2-142737488033x+20756598437147937\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 24.48.0-8.bb.2.8, 40.48.0-8.bb.2.7, $\ldots$	$[]$
369600.rr1	369600rr4	369600.rr	369600rr	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{28} \cdot 3^{3} \cdot 5^{7} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$1680$	$192$	$1$	$1$	$1$		$1$	$849346560$	$4.701874$	$78519570041710065450485106721/96428056919040$	$1.05292$	$6.91616$	$[0, 1, 0, -142737488033, -20756598437147937]$	\(y^2=x^3+x^2-142737488033x-20756598437147937\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 24.48.0-8.bb.2.7, 40.48.0-8.bb.2.8, $\ldots$	$[]$
381150.fm1	381150fm3	381150.fm	381150fm	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 5^{7} \cdot 7^{8} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$18480$	$192$	$1$	$1$	$1$		$0$	$4246732800$	$5.410408$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.56122$	$[1, -1, 0, -2428767569817, 1456891560675127341]$	\(y^2+xy=x^3-x^2-2428767569817x+1456891560675127341\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 44.12.0-4.c.1.1, 60.12.0.h.1, $\ldots$	$[]$
388080.kh1	388080kh4	388080.kh	388080kh	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{22} \cdot 3^{9} \cdot 5 \cdot 7^{14} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$1680$	$192$	$1$	$116.1313721$	$1$		$1$	$1698693120$	$5.072838$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.23586$	$[0, 0, 0, -629472322227, -192226417495801486]$	\(y^2=x^3-629472322227x-192226417495801486\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 48.48.0-8.bb.2.2, 60.12.0.h.1, $\ldots$	$[(-121262440509192751875751391749389551235118284132417010/514516635882114152247287, 47734940147243144545404980486341226342747769432494880843908849297552641264/514516635882114152247287)]$
390390.l1	390390l3	390390.l	390390l	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 11^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$21840$	$192$	$1$	$1$	$4$	$2$	$0$	$424673280$	$4.139908$	$78519570041710065450485106721/96428056919040$	$1.05292$	$6.36299$	$[1, 1, 0, -15076647173, 712527190485453]$	\(y^2+xy=x^3+x^2-15076647173x+712527190485453\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 52.12.0-4.c.1.2, 60.12.0.h.1, $\ldots$	$[]$