Elliptic curve search results

Results (1-50 of 163 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images
15.a2	15a2	15.a	15a	$8$	$16$	\( 3 \cdot 5 \)	\( 3^{8} \cdot 5^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.96.0.58	2Cs	$240$	$768$	$13$	$1$	$1$		$2$	$2$	$-0.055704$	$272223782641/164025$	$[1, 1, 1, -135, -660]$	\(y^2+xy+y=x^3+x^2-135x-660\)	2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.k.1.1, 20.48.0-20.c.1.2, 40.192.1-40.cc.2.4, $\ldots$
45.a2	45a5	45.a	45a	$8$	$16$	\( 3^{2} \cdot 5 \)	\( 3^{14} \cdot 5^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.56	2Cs	$240$	$768$	$13$	$1$	$1$		$2$	$16$	$0.493602$	$272223782641/164025$	$[1, -1, 0, -1215, 16600]$	\(y^2+xy=x^3-x^2-1215x+16600\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 12.24.0-4.b.1.1, 16.96.0-8.k.1.2, $\ldots$
75.b2	75b5	75.b	75b	$8$	$16$	\( 3 \cdot 5^{2} \)	\( 3^{8} \cdot 5^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.31	2Cs	$240$	$768$	$13$	$1$	$1$		$2$	$48$	$0.749015$	$272223782641/164025$	$[1, 0, 1, -3376, -75727]$	\(y^2+xy+y=x^3-3376x-75727\)	2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.k.1.7, 20.48.0-20.c.1.3, 40.192.1-40.cc.2.5, $\ldots$
225.b2	225c5	225.b	225c	$8$	$16$	\( 3^{2} \cdot 5^{2} \)	\( 3^{14} \cdot 5^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.53	2Cs	$240$	$768$	$13$	$1$	$1$		$2$	$384$	$1.298321$	$272223782641/164025$	$[1, -1, 1, -30380, 2044622]$	\(y^2+xy+y=x^3-x^2-30380x+2044622\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 12.24.0-4.b.1.2, 16.96.0-8.k.1.3, $\ldots$
240.d2	240d5	240.d	240d	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5 \)	\( 2^{12} \cdot 3^{8} \cdot 5^{2} \)	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.41	2Cs	$240$	$768$	$13$	$1$	$1$		$7$	$128$	$0.637444$	$272223782641/164025$	$[0, 1, 0, -2160, 37908]$	\(y^2=x^3+x^2-2160x+37908\)	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.k.1.2, 20.48.0-20.c.1.1, 40.192.1-40.cc.2.1, $\ldots$
720.c2	720h5	720.c	720h	$8$	$16$	\( 2^{4} \cdot 3^{2} \cdot 5 \)	\( 2^{12} \cdot 3^{14} \cdot 5^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.56	2Cs	$240$	$768$	$13$	$2.600625687$	$1$		$9$	$1024$	$1.186749$	$272223782641/164025$	$[0, 0, 0, -19443, -1042958]$	\(y^2=x^3-19443x-1042958\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 12.24.0-4.b.1.3, 16.96.0-8.k.1.2, $\ldots$
735.c2	735e5	735.c	735e	$8$	$16$	\( 3 \cdot 5 \cdot 7^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 7^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$1680$	$768$	$13$	$0.344589038$	$1$		$18$	$768$	$0.917251$	$272223782641/164025$	$[1, 0, 0, -6616, 206471]$	\(y^2+xy=x^3-6616x+206471\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 28.24.0-4.b.1.1, $\ldots$
960.a2	960i5	960.a	960i	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \)	\( 2^{18} \cdot 3^{8} \cdot 5^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.122	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$1024$	$0.984016$	$272223782641/164025$	$[0, -1, 0, -8641, 311905]$	\(y^2=x^3-x^2-8641x+311905\)	2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.k.1.3, 20.24.0.c.1, 40.192.1-40.cc.2.2, $\ldots$
960.l2	960g5	960.l	960g	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \)	\( 2^{18} \cdot 3^{8} \cdot 5^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.121	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$1024$	$0.984016$	$272223782641/164025$	$[0, 1, 0, -8641, -311905]$	\(y^2=x^3+x^2-8641x-311905\)	2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.k.1.4, 20.24.0.c.1, 40.192.1-40.cc.2.3, $\ldots$
1200.e2	1200j5	1200.e	1200j	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5^{2} \)	\( 2^{12} \cdot 3^{8} \cdot 5^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.27	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$3072$	$1.442162$	$272223782641/164025$	$[0, -1, 0, -54008, 4846512]$	\(y^2=x^3-x^2-54008x+4846512\)	2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.k.1.8, 20.48.0-20.c.1.4, 40.192.1-40.cc.2.8, $\ldots$
1815.d2	1815a5	1815.d	1815a	$8$	$16$	\( 3 \cdot 5 \cdot 11^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 11^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$2640$	$768$	$13$	$3.332147913$	$1$		$2$	$2560$	$1.143244$	$272223782641/164025$	$[1, 1, 0, -16337, 796536]$	\(y^2+xy=x^3+x^2-16337x+796536\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
2205.i2	2205j5	2205.i	2205j	$8$	$16$	\( 3^{2} \cdot 5 \cdot 7^{2} \)	\( 3^{14} \cdot 5^{2} \cdot 7^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$1680$	$768$	$13$	$1$	$4$	$2$	$2$	$6144$	$1.466557$	$272223782641/164025$	$[1, -1, 0, -59544, -5574717]$	\(y^2+xy=x^3-x^2-59544x-5574717\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
2535.j2	2535a5	2535.j	2535a	$8$	$16$	\( 3 \cdot 5 \cdot 13^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$3120$	$768$	$13$	$8.226560205$	$1$		$2$	$4608$	$1.226770$	$272223782641/164025$	$[1, 1, 0, -22818, -1335537]$	\(y^2+xy=x^3+x^2-22818x-1335537\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
2880.y2	2880r5	2880.y	2880r	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5 \)	\( 2^{18} \cdot 3^{14} \cdot 5^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.55	2Cs	$240$	$768$	$13$	$2.649098176$	$1$		$9$	$8192$	$1.533323$	$272223782641/164025$	$[0, 0, 0, -77772, 8343664]$	\(y^2=x^3-77772x+8343664\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 16.96.0-8.k.1.1, 20.24.0.c.1, $\ldots$
2880.bc2	2880bd5	2880.bc	2880bd	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5 \)	\( 2^{18} \cdot 3^{14} \cdot 5^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.55	2Cs	$240$	$768$	$13$	$1$	$4$	$2$	$3$	$8192$	$1.533323$	$272223782641/164025$	$[0, 0, 0, -77772, -8343664]$	\(y^2=x^3-77772x-8343664\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 16.96.0-8.k.1.1, 20.24.0.c.1, $\ldots$
3600.u2	3600bf5	3600.u	3600bf	$8$	$16$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{12} \cdot 3^{14} \cdot 5^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.53	2Cs	$240$	$768$	$13$	$4.801950709$	$1$		$7$	$24576$	$1.991468$	$272223782641/164025$	$[0, 0, 0, -486075, -130369750]$	\(y^2=x^3-486075x-130369750\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 12.24.0-4.b.1.2, 16.96.0-8.k.1.3, $\ldots$
3675.j2	3675e5	3675.j	3675e	$8$	$16$	\( 3 \cdot 5^{2} \cdot 7^{2} \)	\( 3^{8} \cdot 5^{8} \cdot 7^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$1680$	$768$	$13$	$1$	$1$		$2$	$18432$	$1.721970$	$272223782641/164025$	$[1, 1, 0, -165400, 25808875]$	\(y^2+xy=x^3+x^2-165400x+25808875\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 28.24.0-4.b.1.2, $\ldots$
4335.c2	4335d5	4335.c	4335d	$8$	$16$	\( 3 \cdot 5 \cdot 17^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$4080$	$768$	$13$	$1$	$1$		$2$	$10240$	$1.360903$	$272223782641/164025$	$[1, 0, 0, -39021, -2968560]$	\(y^2+xy=x^3-39021x-2968560\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
4800.t2	4800b5	4800.t	4800b	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{18} \cdot 3^{8} \cdot 5^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.149	2Cs	$240$	$768$	$13$	$7.429811606$	$1$		$3$	$24576$	$1.788736$	$272223782641/164025$	$[0, -1, 0, -216033, -38556063]$	\(y^2=x^3-x^2-216033x-38556063\)	2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.k.1.6, 20.24.0.c.1, 40.192.1-40.cc.2.6, $\ldots$
4800.bz2	4800cd5	4800.bz	4800cd	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5^{2} \)	\( 2^{18} \cdot 3^{8} \cdot 5^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.118	2Cs	$240$	$768$	$13$	$1.074445936$	$1$		$13$	$24576$	$1.788736$	$272223782641/164025$	$[0, 1, 0, -216033, 38556063]$	\(y^2=x^3+x^2-216033x+38556063\)	2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.k.1.5, 20.24.0.c.1, 40.192.1-40.cc.2.7, $\ldots$
5415.j2	5415k5	5415.j	5415k	$8$	$16$	\( 3 \cdot 5 \cdot 19^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 19^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$4560$	$768$	$13$	$1$	$1$		$2$	$13824$	$1.416515$	$272223782641/164025$	$[1, 0, 1, -48743, 4135781]$	\(y^2+xy+y=x^3-48743x+4135781\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
5445.c2	5445g5	5445.c	5445g	$8$	$16$	\( 3^{2} \cdot 5 \cdot 11^{2} \)	\( 3^{14} \cdot 5^{2} \cdot 11^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$2640$	$768$	$13$	$4.676439788$	$1$		$4$	$20480$	$1.692551$	$272223782641/164025$	$[1, -1, 1, -147038, -21653508]$	\(y^2+xy+y=x^3-x^2-147038x-21653508\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
7605.g2	7605q5	7605.g	7605q	$8$	$16$	\( 3^{2} \cdot 5 \cdot 13^{2} \)	\( 3^{14} \cdot 5^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$3120$	$768$	$13$	$2.535218650$	$1$		$6$	$36864$	$1.776077$	$272223782641/164025$	$[1, -1, 1, -205367, 35854134]$	\(y^2+xy+y=x^3-x^2-205367x+35854134\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
7935.d2	7935b5	7935.d	7935b	$8$	$16$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 23^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$5520$	$768$	$13$	$1$	$1$		$2$	$25344$	$1.512043$	$272223782641/164025$	$[1, 1, 1, -71426, 7313798]$	\(y^2+xy+y=x^3+x^2-71426x+7313798\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
9075.g2	9075l5	9075.g	9075l	$8$	$16$	\( 3 \cdot 5^{2} \cdot 11^{2} \)	\( 3^{8} \cdot 5^{8} \cdot 11^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$2640$	$768$	$13$	$0.943781896$	$1$		$12$	$61440$	$1.947962$	$272223782641/164025$	$[1, 0, 0, -408438, 100383867]$	\(y^2+xy=x^3-408438x+100383867\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
11025.p2	11025z5	11025.p	11025z	$8$	$16$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( 3^{14} \cdot 5^{8} \cdot 7^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$1680$	$768$	$13$	$5.235832845$	$1$		$4$	$147456$	$2.271275$	$272223782641/164025$	$[1, -1, 1, -1488605, -698328228]$	\(y^2+xy+y=x^3-x^2-1488605x-698328228\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
11760.p2	11760bq5	11760.p	11760bq	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \)	\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$1680$	$768$	$13$	$3.696476004$	$1$		$7$	$49152$	$1.610397$	$272223782641/164025$	$[0, -1, 0, -105856, -13214144]$	\(y^2=x^3-x^2-105856x-13214144\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 28.24.0-4.b.1.3, $\ldots$
12615.f2	12615f5	12615.f	12615f	$8$	$16$	\( 3 \cdot 5 \cdot 29^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 29^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$6960$	$768$	$13$	$6.956646921$	$1$		$2$	$50176$	$1.627943$	$272223782641/164025$	$[1, 0, 1, -113553, -14729777]$	\(y^2+xy+y=x^3-113553x-14729777\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
12675.n2	12675x5	12675.n	12675x	$8$	$16$	\( 3 \cdot 5^{2} \cdot 13^{2} \)	\( 3^{8} \cdot 5^{8} \cdot 13^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$3120$	$768$	$13$	$1$	$1$		$2$	$110592$	$2.031490$	$272223782641/164025$	$[1, 0, 0, -570463, -165801208]$	\(y^2+xy=x^3-570463x-165801208\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
13005.p2	13005n5	13005.p	13005n	$8$	$16$	\( 3^{2} \cdot 5 \cdot 17^{2} \)	\( 3^{14} \cdot 5^{2} \cdot 17^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$4080$	$768$	$13$	$6.170132057$	$1$		$2$	$81920$	$1.910210$	$272223782641/164025$	$[1, -1, 0, -351189, 80151120]$	\(y^2+xy=x^3-x^2-351189x+80151120\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
14400.cj2	14400y5	14400.cj	14400y	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{18} \cdot 3^{14} \cdot 5^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.54	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$196608$	$2.338043$	$272223782641/164025$	$[0, 0, 0, -1944300, 1042958000]$	\(y^2=x^3-1944300x+1042958000\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 16.96.0-8.k.1.4, 20.24.0.c.1, $\ldots$
14400.cz2	14400dp5	14400.cz	14400dp	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{18} \cdot 3^{14} \cdot 5^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.54	2Cs	$240$	$768$	$13$	$10.07379811$	$1$		$3$	$196608$	$2.338043$	$272223782641/164025$	$[0, 0, 0, -1944300, -1042958000]$	\(y^2=x^3-1944300x-1042958000\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 16.96.0-8.k.1.4, 20.24.0.c.1, $\ldots$
14415.d2	14415g5	14415.d	14415g	$8$	$16$	\( 3 \cdot 5 \cdot 31^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 31^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$7440$	$768$	$13$	$1$	$1$		$2$	$61440$	$1.661289$	$272223782641/164025$	$[1, 0, 0, -129755, 17969952]$	\(y^2+xy=x^3-129755x+17969952\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
16245.c2	16245d5	16245.c	16245d	$8$	$16$	\( 3^{2} \cdot 5 \cdot 19^{2} \)	\( 3^{14} \cdot 5^{2} \cdot 19^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$4560$	$768$	$13$	$8.222150098$	$1$		$2$	$110592$	$1.965822$	$272223782641/164025$	$[1, -1, 1, -438683, -111666094]$	\(y^2+xy+y=x^3-x^2-438683x-111666094\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
20535.f2	20535a5	20535.f	20535a	$8$	$16$	\( 3 \cdot 5 \cdot 37^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 37^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$8880$	$768$	$13$	$16.66357033$	$1$		$2$	$96768$	$1.749756$	$272223782641/164025$	$[1, 1, 0, -184843, -30649328]$	\(y^2+xy=x^3+x^2-184843x-30649328\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
21675.s2	21675c6	21675.s	21675c	$8$	$16$	\( 3 \cdot 5^{2} \cdot 17^{2} \)	\( 3^{8} \cdot 5^{8} \cdot 17^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$4080$	$768$	$13$	$18.18286644$	$1$		$2$	$245760$	$2.165623$	$272223782641/164025$	$[1, 1, 0, -975525, -371070000]$	\(y^2+xy=x^3+x^2-975525x-371070000\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
23805.s2	23805t6	23805.s	23805t	$8$	$16$	\( 3^{2} \cdot 5 \cdot 23^{2} \)	\( 3^{14} \cdot 5^{2} \cdot 23^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$5520$	$768$	$13$	$1$	$4$	$2$	$2$	$202752$	$2.061348$	$272223782641/164025$	$[1, -1, 0, -642834, -198115385]$	\(y^2+xy=x^3-x^2-642834x-198115385\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
25215.f2	25215h6	25215.f	25215h	$8$	$16$	\( 3 \cdot 5 \cdot 41^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 41^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$9840$	$768$	$13$	$5.412131868$	$1$		$2$	$133120$	$1.801083$	$272223782641/164025$	$[1, 0, 0, -226970, -41617125]$	\(y^2+xy=x^3-226970x-41617125\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
27075.f2	27075g6	27075.f	27075g	$8$	$16$	\( 3 \cdot 5^{2} \cdot 19^{2} \)	\( 3^{8} \cdot 5^{8} \cdot 19^{6} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$4560$	$768$	$13$	$6.857504831$	$1$		$16$	$331776$	$2.221233$	$272223782641/164025$	$[1, 1, 1, -1218563, 516972656]$	\(y^2+xy+y=x^3+x^2-1218563x+516972656\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
27225.bp2	27225bi6	27225.bp	27225bi	$8$	$16$	\( 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 3^{14} \cdot 5^{8} \cdot 11^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$2640$	$768$	$13$	$13.15948575$	$1$		$2$	$491520$	$2.497269$	$272223782641/164025$	$[1, -1, 0, -3675942, -2710364409]$	\(y^2+xy=x^3-x^2-3675942x-2710364409\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
27735.k2	27735g6	27735.k	27735g	$8$	$16$	\( 3 \cdot 5 \cdot 43^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 43^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$10320$	$768$	$13$	$3.240822449$	$1$		$4$	$161280$	$1.824896$	$272223782641/164025$	$[1, 0, 1, -249654, 47966731]$	\(y^2+xy+y=x^3-249654x+47966731\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
29040.df2	29040dg6	29040.df	29040dg	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 11^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$2640$	$768$	$13$	$2.248976610$	$1$		$9$	$163840$	$1.836391$	$272223782641/164025$	$[0, 1, 0, -261400, -51501100]$	\(y^2=x^3+x^2-261400x-51501100\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
33135.d2	33135a6	33135.d	33135a	$8$	$16$	\( 3 \cdot 5 \cdot 47^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 47^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$11280$	$768$	$13$	$1$	$1$		$2$	$206080$	$1.869370$	$272223782641/164025$	$[1, 1, 1, -298261, 62539514]$	\(y^2+xy+y=x^3+x^2-298261x+62539514\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
35280.do2	35280fr6	35280.do	35280fr	$8$	$16$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)	\( 2^{12} \cdot 3^{14} \cdot 5^{2} \cdot 7^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$1680$	$768$	$13$	$2.215360378$	$1$		$9$	$393216$	$2.159706$	$272223782641/164025$	$[0, 0, 0, -952707, 357734594]$	\(y^2=x^3-952707x+357734594\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
37845.d2	37845d6	37845.d	37845d	$8$	$16$	\( 3^{2} \cdot 5 \cdot 29^{2} \)	\( 3^{14} \cdot 5^{2} \cdot 29^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$6960$	$768$	$13$	$1$	$1$		$2$	$401408$	$2.177250$	$272223782641/164025$	$[1, -1, 1, -1021973, 397703972]$	\(y^2+xy+y=x^3-x^2-1021973x+397703972\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
38025.cj2	38025bc6	38025.cj	38025bc	$8$	$16$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{14} \cdot 5^{8} \cdot 13^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$3120$	$768$	$13$	$1$	$1$		$2$	$884736$	$2.580795$	$272223782641/164025$	$[1, -1, 0, -5134167, 4476632616]$	\(y^2+xy=x^3-x^2-5134167x+4476632616\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
39675.bk2	39675bc6	39675.bk	39675bc	$8$	$16$	\( 3 \cdot 5^{2} \cdot 23^{2} \)	\( 3^{8} \cdot 5^{8} \cdot 23^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$5520$	$768$	$13$	$3.787964949$	$1$		$4$	$608256$	$2.316761$	$272223782641/164025$	$[1, 0, 1, -1785651, 917796073]$	\(y^2+xy+y=x^3-1785651x+917796073\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
40560.bv2	40560ca6	40560.bv	40560ca	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$3120$	$768$	$13$	$0.895869619$	$1$		$15$	$294912$	$1.919918$	$272223782641/164025$	$[0, 1, 0, -365096, 84744180]$	\(y^2=x^3+x^2-365096x+84744180\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
42135.k2	42135f6	42135.k	42135f	$8$	$16$	\( 3 \cdot 5 \cdot 53^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 53^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$12720$	$768$	$13$	$1$	$1$		$2$	$292864$	$1.929441$	$272223782641/164025$	$[1, 0, 1, -379274, -89888353]$	\(y^2+xy+y=x^3-379274x-89888353\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
43245.h2	43245b6	43245.h	43245b	$8$	$16$	\( 3^{2} \cdot 5 \cdot 31^{2} \)	\( 3^{14} \cdot 5^{2} \cdot 31^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$7440$	$768$	$13$	$19.72502665$	$1$		$2$	$491520$	$2.210594$	$272223782641/164025$	$[1, -1, 0, -1167795, -485188704]$	\(y^2+xy=x^3-x^2-1167795x-485188704\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$