Elliptic curve search results

Results (1-50 of 163 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
15.a7	15a8	15.a	15a	$8$	$16$	$3 \cdot 5$	$- 3 \cdot 5$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	32.96.0.5	2B	$480$	$768$	$13$	$1$	$1$		$3$	$4$	$-1.095425$	$-1/15$	$1.19808$	$3.75281$	$[1, 1, 1, 0, 0]$	$y^2+xy+y=x^3+x^2$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 24.48.0-24.bz.1.3, $\ldots$	$[]$
45.a7	45a1	45.a	45a	$8$	$16$	$3^{2} \cdot 5$	$- 3^{7} \cdot 5$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.31	2B	$480$	$768$	$13$	$1$	$1$		$1$	$2$	$-0.546119$	$-1/15$	$1.19808$	$4.40136$	$[1, -1, 0, 0, -5]$	$y^2+xy=x^3-x^2-5$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.2, 16.48.0-16.g.1.16, $\ldots$	$[]$
75.b7	75b1	75.b	75b	$8$	$16$	$3 \cdot 5^{2}$	$- 3 \cdot 5^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.29	2B	$480$	$768$	$13$	$1$	$1$		$1$	$6$	$-0.290706$	$-1/15$	$1.19808$	$4.59050$	$[1, 0, 1, -1, 23]$	$y^2+xy+y=x^3-x+23$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.2, 16.48.0-16.g.1.1, $\ldots$	$[]$
225.b7	225c1	225.b	225c	$8$	$16$	$3^{2} \cdot 5^{2}$	$- 3^{7} \cdot 5^{7}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.7	2B	$480$	$768$	$13$	$1$	$1$		$3$	$48$	$0.258600$	$-1/15$	$1.19808$	$4.87641$	$[1, -1, 1, -5, -628]$	$y^2+xy+y=x^3-x^2-5x-628$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 16.48.0-16.g.1.15, 24.48.0-24.bz.1.14, $\ldots$	$[]$
240.d7	240d1	240.d	240d	$8$	$16$	$2^{4} \cdot 3 \cdot 5$	$- 2^{12} \cdot 3 \cdot 5$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.13	2B	$480$	$768$	$13$	$1$	$1$		$1$	$16$	$-0.402277$	$-1/15$	$1.19808$	$3.37197$	$[0, 1, 0, 0, -12]$	$y^2=x^3+x^2-12$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 24.48.0-24.bz.1.11, $\ldots$	$[]$
720.c7	720h1	720.c	720h	$8$	$16$	$2^{4} \cdot 3^{2} \cdot 5$	$- 2^{12} \cdot 3^{7} \cdot 5$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.77	2B	$480$	$768$	$13$	$0.325078210$	$1$		$11$	$128$	$0.147029$	$-1/15$	$1.19808$	$3.81081$	$[0, 0, 0, -3, 322]$	$y^2=x^3-3x+322$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.1, 16.48.0-16.g.1.12, $\ldots$	$[(-1, 18)]$
735.c7	735e1	735.c	735e	$8$	$16$	$3 \cdot 5 \cdot 7^{2}$	$- 3 \cdot 5 \cdot 7^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$3360$	$768$	$13$	$2.756712307$	$1$		$3$	$96$	$-0.122470$	$-1/15$	$1.19808$	$3.30889$	$[1, 0, 0, -1, -64]$	$y^2+xy=x^3-x-64$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(13, 40)]$
960.a7	960i1	960.a	960i	$8$	$16$	$2^{6} \cdot 3 \cdot 5$	$- 2^{18} \cdot 3 \cdot 5$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.85	2B	$480$	$768$	$13$	$1$	$1$		$1$	$128$	$-0.055704$	$-1/15$	$1.19808$	$3.29688$	$[0, -1, 0, -1, -95]$	$y^2=x^3-x^2-x-95$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.g.1.10, 24.48.0-24.bz.1.1, $\ldots$	$[]$
960.l7	960g1	960.l	960g	$8$	$16$	$2^{6} \cdot 3 \cdot 5$	$- 2^{18} \cdot 3 \cdot 5$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.89	2B	$480$	$768$	$13$	$1$	$1$		$1$	$128$	$-0.055704$	$-1/15$	$1.19808$	$3.29688$	$[0, 1, 0, -1, 95]$	$y^2=x^3+x^2-x+95$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.g.1.14, 24.48.0-24.bz.1.9, $\ldots$	$[]$
1200.e7	1200j1	1200.e	1200j	$8$	$16$	$2^{4} \cdot 3 \cdot 5^{2}$	$- 2^{12} \cdot 3 \cdot 5^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.79	2B	$480$	$768$	$13$	$1$	$1$		$1$	$384$	$0.402442$	$-1/15$	$1.19808$	$3.96853$	$[0, -1, 0, -8, -1488]$	$y^2=x^3-x^2-8x-1488$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.1, 16.48.0-16.g.1.5, $\ldots$	$[]$
1815.d7	1815a1	1815.d	1815a	$8$	$16$	$3 \cdot 5 \cdot 11^{2}$	$- 3 \cdot 5 \cdot 11^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$5280$	$768$	$13$	$6.664295827$	$1$		$1$	$320$	$0.103523$	$-1/15$	$1.19808$	$3.27168$	$[1, 1, 0, -2, -249]$	$y^2+xy=x^3+x^2-2x-249$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(550/7, 10443/7)]$
2205.i7	2205j1	2205.i	2205j	$8$	$16$	$3^{2} \cdot 5 \cdot 7^{2}$	$- 3^{7} \cdot 5 \cdot 7^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$3360$	$768$	$13$	$1$	$1$		$1$	$768$	$0.426836$	$-1/15$	$1.19808$	$3.69293$	$[1, -1, 0, -9, 1728]$	$y^2+xy=x^3-x^2-9x+1728$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
2535.j7	2535a1	2535.j	2535a	$8$	$16$	$3 \cdot 5 \cdot 13^{2}$	$- 3 \cdot 5 \cdot 13^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$6240$	$768$	$13$	$4.113280102$	$1$		$3$	$576$	$0.187050$	$-1/15$	$1.19808$	$3.26010$	$[1, 1, 0, -3, 408]$	$y^2+xy=x^3+x^2-3x+408$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(56, 396)]$
2880.y7	2880r1	2880.y	2880r	$8$	$16$	$2^{6} \cdot 3^{2} \cdot 5$	$- 2^{18} \cdot 3^{7} \cdot 5$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.83	2B	$480$	$768$	$13$	$1.324549088$	$1$		$5$	$1024$	$0.493602$	$-1/15$	$1.19808$	$3.66970$	$[0, 0, 0, -12, -2576]$	$y^2=x^3-12x-2576$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.g.1.4, 24.48.0-24.bz.1.13, $\ldots$	$[(20, 72)]$
2880.bc7	2880bd1	2880.bc	2880bd	$8$	$16$	$2^{6} \cdot 3^{2} \cdot 5$	$- 2^{18} \cdot 3^{7} \cdot 5$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.45	2B	$480$	$768$	$13$	$1$	$1$		$1$	$1024$	$0.493602$	$-1/15$	$1.19808$	$3.66970$	$[0, 0, 0, -12, 2576]$	$y^2=x^3-12x+2576$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.g.1.8, 24.48.0-24.bz.1.5, $\ldots$	$[]$
3600.u7	3600bf1	3600.u	3600bf	$8$	$16$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	$- 2^{12} \cdot 3^{7} \cdot 5^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.15	2B	$480$	$768$	$13$	$0.600243838$	$1$		$9$	$3072$	$0.951748$	$-1/15$	$1.19808$	$4.24108$	$[0, 0, 0, -75, 40250]$	$y^2=x^3-75x+40250$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 16.48.0-16.g.1.11, 24.48.0-24.bz.1.6, $\ldots$	$[(5, 200)]$
3675.j7	3675e1	3675.j	3675e	$8$	$16$	$3 \cdot 5^{2} \cdot 7^{2}$	$- 3 \cdot 5^{7} \cdot 7^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$3360$	$768$	$13$	$1$	$1$		$1$	$2304$	$0.682249$	$-1/15$	$1.19808$	$3.83649$	$[1, 1, 0, -25, -8000]$	$y^2+xy=x^3+x^2-25x-8000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
4335.c7	4335d1	4335.c	4335d	$8$	$16$	$3 \cdot 5 \cdot 17^{2}$	$- 3 \cdot 5 \cdot 17^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$8160$	$768$	$13$	$1$	$1$		$1$	$1280$	$0.321182$	$-1/15$	$1.19808$	$3.24344$	$[1, 0, 0, -6, 915]$	$y^2+xy=x^3-6x+915$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
4800.t7	4800b1	4800.t	4800b	$8$	$16$	$2^{6} \cdot 3 \cdot 5^{2}$	$- 2^{18} \cdot 3 \cdot 5^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.81	2B	$480$	$768$	$13$	$0.928726450$	$1$		$5$	$3072$	$0.749015$	$-1/15$	$1.19808$	$3.81013$	$[0, -1, 0, -33, 11937]$	$y^2=x^3-x^2-33x+11937$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.g.1.13, 24.48.0-24.bz.1.4, $\ldots$	$[(-13, 100)]$
4800.bz7	4800cd1	4800.bz	4800cd	$8$	$16$	$2^{6} \cdot 3 \cdot 5^{2}$	$- 2^{18} \cdot 3 \cdot 5^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.47	2B	$480$	$768$	$13$	$2.148891872$	$1$		$3$	$3072$	$0.749015$	$-1/15$	$1.19808$	$3.81013$	$[0, 1, 0, -33, -11937]$	$y^2=x^3+x^2-33x-11937$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.g.1.9, 24.48.0-24.bz.1.12, $\ldots$	$[(113, 1200)]$
5415.j7	5415k1	5415.j	5415k	$8$	$16$	$3 \cdot 5 \cdot 19^{2}$	$- 3 \cdot 5 \cdot 19^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$9120$	$768$	$13$	$1$	$4$	$2$	$1$	$1728$	$0.376795$	$-1/15$	$1.19808$	$3.23714$	$[1, 0, 1, -8, -1279]$	$y^2+xy+y=x^3-8x-1279$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
5445.c7	5445g1	5445.c	5445g	$8$	$16$	$3^{2} \cdot 5 \cdot 11^{2}$	$- 3^{7} \cdot 5 \cdot 11^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$5280$	$768$	$13$	$2.338219894$	$1$		$5$	$2560$	$0.652829$	$-1/15$	$1.19808$	$3.62011$	$[1, -1, 1, -23, 6702]$	$y^2+xy+y=x^3-x^2-23x+6702$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(-10, 81)]$
7605.g7	7605q1	7605.g	7605q	$8$	$16$	$3^{2} \cdot 5 \cdot 13^{2}$	$- 3^{7} \cdot 5 \cdot 13^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$6240$	$768$	$13$	$5.070437301$	$1$		$3$	$4608$	$0.736356$	$-1/15$	$1.19808$	$3.59693$	$[1, -1, 1, -32, -11046]$	$y^2+xy+y=x^3-x^2-32x-11046$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(464, 9753)]$
7935.d7	7935b1	7935.d	7935b	$8$	$16$	$3 \cdot 5 \cdot 23^{2}$	$- 3 \cdot 5 \cdot 23^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$11040$	$768$	$13$	$1$	$1$		$1$	$3168$	$0.472322$	$-1/15$	$1.19808$	$3.22705$	$[1, 1, 1, -11, -2272]$	$y^2+xy+y=x^3+x^2-11x-2272$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
9075.g7	9075l1	9075.g	9075l	$8$	$16$	$3 \cdot 5^{2} \cdot 11^{2}$	$- 3 \cdot 5^{7} \cdot 11^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$5280$	$768$	$13$	$7.550255175$	$1$		$1$	$7680$	$0.908242$	$-1/15$	$1.19808$	$3.75351$	$[1, 0, 0, -63, -31008]$	$y^2+xy=x^3-63x-31008$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(20737/3, 2955235/3)]$
11025.p7	11025z1	11025.p	11025z	$8$	$16$	$3^{2} \cdot 5^{2} \cdot 7^{2}$	$- 3^{7} \cdot 5^{7} \cdot 7^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$3360$	$768$	$13$	$2.617916422$	$1$		$5$	$18432$	$1.231556$	$-1/15$	$1.19808$	$4.09185$	$[1, -1, 1, -230, 215772]$	$y^2+xy+y=x^3-x^2-230x+215772$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(-12, 471)]$
11760.p7	11760bq1	11760.p	11760bq	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 7^{2}$	$- 2^{12} \cdot 3 \cdot 5 \cdot 7^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$3360$	$768$	$13$	$1.848238002$	$1$		$5$	$6144$	$0.570678$	$-1/15$	$1.19808$	$3.21752$	$[0, -1, 0, -16, 4096]$	$y^2=x^3-x^2-16x+4096$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(0, 64)]$
12615.f7	12615f1	12615.f	12615f	$8$	$16$	$3 \cdot 5 \cdot 29^{2}$	$- 3 \cdot 5 \cdot 29^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$13920$	$768$	$13$	$13.91329384$	$1$		$1$	$6272$	$0.588223$	$-1/15$	$1.19808$	$3.21590$	$[1, 0, 1, -18, 4543]$	$y^2+xy+y=x^3-18x+4543$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(1083703/43, 1105031480/43)]$
12675.n7	12675x1	12675.n	12675x	$8$	$16$	$3 \cdot 5^{2} \cdot 13^{2}$	$- 3 \cdot 5^{7} \cdot 13^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$6240$	$768$	$13$	$1$	$1$		$1$	$13824$	$0.991769$	$-1/15$	$1.19808$	$3.72686$	$[1, 0, 0, -88, 51167]$	$y^2+xy=x^3-88x+51167$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
13005.p7	13005n1	13005.p	13005n	$8$	$16$	$3^{2} \cdot 5 \cdot 17^{2}$	$- 3^{7} \cdot 5 \cdot 17^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$8160$	$768$	$13$	$3.085066028$	$1$		$1$	$10240$	$0.870488$	$-1/15$	$1.19808$	$3.56312$	$[1, -1, 0, -54, -24705]$	$y^2+xy=x^3-x^2-54x-24705$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(1395/2, 50625/2)]$
14400.cj7	14400y1	14400.cj	14400y	$8$	$16$	$2^{6} \cdot 3^{2} \cdot 5^{2}$	$- 2^{18} \cdot 3^{7} \cdot 5^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.91	2B	$480$	$768$	$13$	$1$	$1$		$1$	$24576$	$1.298321$	$-1/15$	$1.19808$	$4.06139$	$[0, 0, 0, -300, -322000]$	$y^2=x^3-300x-322000$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 16.48.0-16.g.1.3, 24.48.0-24.bz.1.8, $\ldots$	$[]$
14400.cz7	14400dp1	14400.cz	14400dp	$8$	$16$	$2^{6} \cdot 3^{2} \cdot 5^{2}$	$- 2^{18} \cdot 3^{7} \cdot 5^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.87	2B	$480$	$768$	$13$	$1.259224764$	$1$		$5$	$24576$	$1.298321$	$-1/15$	$1.19808$	$4.06139$	$[0, 0, 0, -300, 322000]$	$y^2=x^3-300x+322000$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 16.48.0-16.g.1.7, 24.48.0-24.bz.1.16, $\ldots$	$[(26, 576)]$
14415.d7	14415g1	14415.d	14415g	$8$	$16$	$3 \cdot 5 \cdot 31^{2}$	$- 3 \cdot 5 \cdot 31^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$14880$	$768$	$13$	$1$	$4$	$2$	$1$	$7680$	$0.621569$	$-1/15$	$1.19808$	$3.21289$	$[1, 0, 0, -20, -5553]$	$y^2+xy=x^3-20x-5553$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
16245.c7	16245d1	16245.c	16245d	$8$	$16$	$3^{2} \cdot 5 \cdot 19^{2}$	$- 3^{7} \cdot 5 \cdot 19^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$9120$	$768$	$13$	$1.027768762$	$1$		$7$	$13824$	$0.926101$	$-1/15$	$1.19808$	$3.55020$	$[1, -1, 1, -68, 34526]$	$y^2+xy+y=x^3-x^2-68x+34526$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(-14, 187)]$
20535.f7	20535a1	20535.f	20535a	$8$	$16$	$3 \cdot 5 \cdot 37^{2}$	$- 3 \cdot 5 \cdot 37^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$17760$	$768$	$13$	$8.331785168$	$1$		$1$	$12096$	$0.710034$	$-1/15$	$1.19808$	$3.20531$	$[1, 1, 0, -28, 9427]$	$y^2+xy=x^3+x^2-28x+9427$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(-1062/11, 132761/11)]$
21675.s7	21675c1	21675.s	21675c	$8$	$16$	$3 \cdot 5^{2} \cdot 17^{2}$	$- 3 \cdot 5^{7} \cdot 17^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$8160$	$768$	$13$	$2.272858305$	$1$		$1$	$30720$	$1.125900$	$-1/15$	$1.19808$	$3.68780$	$[1, 1, 0, -150, 114375]$	$y^2+xy=x^3+x^2-150x+114375$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(910/3, 27535/3)]$
23805.s7	23805t1	23805.s	23805t	$8$	$16$	$3^{2} \cdot 5 \cdot 23^{2}$	$- 3^{7} \cdot 5 \cdot 23^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$11040$	$768$	$13$	$1$	$1$		$1$	$25344$	$1.021629$	$-1/15$	$1.19808$	$3.52934$	$[1, -1, 0, -99, 61240]$	$y^2+xy=x^3-x^2-99x+61240$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
25215.f7	25215h1	25215.f	25215h	$8$	$16$	$3 \cdot 5 \cdot 41^{2}$	$- 3 \cdot 5 \cdot 41^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$19680$	$768$	$13$	$10.82426373$	$1$		$1$	$16640$	$0.761361$	$-1/15$	$1.19808$	$3.20115$	$[1, 0, 0, -35, 12840]$	$y^2+xy=x^3-35x+12840$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(44697/19, 9055734/19)]$
27075.f7	27075g1	27075.f	27075g	$8$	$16$	$3 \cdot 5^{2} \cdot 19^{2}$	$- 3 \cdot 5^{7} \cdot 19^{6}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$9120$	$768$	$13$	$6.857504831$	$1$		$7$	$41472$	$1.181513$	$-1/15$	$1.19808$	$3.67281$	$[1, 1, 1, -188, -159844]$	$y^2+xy+y=x^3+x^2-188x-159844$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(131, 1378), (80, 547)]$
27225.bp7	27225bi1	27225.bp	27225bi	$8$	$16$	$3^{2} \cdot 5^{2} \cdot 11^{2}$	$- 3^{7} \cdot 5^{7} \cdot 11^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$5280$	$768$	$13$	$1.644935719$	$1$		$3$	$61440$	$1.457548$	$-1/15$	$1.19808$	$3.99519$	$[1, -1, 0, -567, 837216]$	$y^2+xy=x^3-x^2-567x+837216$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(-36, 918)]$
27735.k7	27735g1	27735.k	27735g	$8$	$16$	$3 \cdot 5 \cdot 43^{2}$	$- 3 \cdot 5 \cdot 43^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$20640$	$768$	$13$	$25.92657959$	$1$		$1$	$20160$	$0.785175$	$-1/15$	$1.19808$	$3.19927$	$[1, 0, 1, -39, -14819]$	$y^2+xy+y=x^3-39x-14819$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(175608467329/20083, 71829520009567697/20083)]$
29040.df7	29040dg1	29040.df	29040dg	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 11^{2}$	$- 2^{12} \cdot 3 \cdot 5 \cdot 11^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$5280$	$768$	$13$	$4.497953220$	$1$		$1$	$20480$	$0.796670$	$-1/15$	$1.19808$	$3.19838$	$[0, 1, 0, -40, 15860]$	$y^2=x^3+x^2-40x+15860$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(22/3, 3392/3)]$
33135.d7	33135a1	33135.d	33135a	$8$	$16$	$3 \cdot 5 \cdot 47^{2}$	$- 3 \cdot 5 \cdot 47^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$22560$	$768$	$13$	$1$	$1$		$1$	$25760$	$0.829649$	$-1/15$	$1.19808$	$3.19587$	$[1, 1, 1, -46, -19366]$	$y^2+xy+y=x^3+x^2-46x-19366$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
35280.do7	35280fr1	35280.do	35280fr	$8$	$16$	$2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2}$	$- 2^{12} \cdot 3^{7} \cdot 5 \cdot 7^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$3360$	$768$	$13$	$4.430720757$	$1$		$3$	$49152$	$1.119984$	$-1/15$	$1.19808$	$3.50945$	$[0, 0, 0, -147, -110446]$	$y^2=x^3-147x-110446$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(305, 5312)]$
37845.d7	37845d1	37845.d	37845d	$8$	$16$	$3^{2} \cdot 5 \cdot 29^{2}$	$- 3^{7} \cdot 5 \cdot 29^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$13920$	$768$	$13$	$1$	$1$		$1$	$50176$	$1.137529$	$-1/15$	$1.19808$	$3.50606$	$[1, -1, 1, -158, -122668]$	$y^2+xy+y=x^3-x^2-158x-122668$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
38025.cj7	38025bc1	38025.cj	38025bc	$8$	$16$	$3^{2} \cdot 5^{2} \cdot 13^{2}$	$- 3^{7} \cdot 5^{7} \cdot 13^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$6240$	$768$	$13$	$1$	$1$		$1$	$110592$	$1.541075$	$-1/15$	$1.19808$	$3.96366$	$[1, -1, 0, -792, -1381509]$	$y^2+xy=x^3-x^2-792x-1381509$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
39675.bk7	39675bc1	39675.bk	39675bc	$8$	$16$	$3 \cdot 5^{2} \cdot 23^{2}$	$- 3 \cdot 5^{7} \cdot 23^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$11040$	$768$	$13$	$7.575929899$	$1$		$3$	$76032$	$1.277040$	$-1/15$	$1.19808$	$3.64853$	$[1, 0, 1, -276, -283427]$	$y^2+xy+y=x^3-276x-283427$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(335407, 194081096)]$
40560.bv7	40560ca1	40560.bv	40560ca	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 13^{2}$	$- 2^{12} \cdot 3 \cdot 5 \cdot 13^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$6240$	$768$	$13$	$7.166956954$	$1$		$1$	$36864$	$0.880198$	$-1/15$	$1.19808$	$3.19214$	$[0, 1, 0, -56, -26220]$	$y^2=x^3+x^2-56x-26220$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(3454/9, 164224/9)]$
42135.k7	42135f1	42135.k	42135f	$8$	$16$	$3 \cdot 5 \cdot 53^{2}$	$- 3 \cdot 5 \cdot 53^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$25440$	$768$	$13$	$1$	$1$		$1$	$36608$	$0.889721$	$-1/15$	$1.19808$	$3.19145$	$[1, 0, 1, -59, 27737]$	$y^2+xy+y=x^3-59x+27737$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
43245.h7	43245b1	43245.h	43245b	$8$	$16$	$3^{2} \cdot 5 \cdot 31^{2}$	$- 3^{7} \cdot 5 \cdot 31^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$14880$	$768$	$13$	$2.465628331$	$1$		$3$	$61440$	$1.170876$	$-1/15$	$1.19808$	$3.49974$	$[1, -1, 0, -180, 149931]$	$y^2+xy=x^3-x^2-180x+149931$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(1062, 34065)]$

  Download displayed columns for results to