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	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
15.a4	15a7	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	$480$	$768$	$13$	$1$	$1$		$2$	$4$	$-0.402277$	$56667352321/15$	$1.03019$	$9.14328$	$[1, 1, 1, -80, 242]$	\(y^2+xy+y=x^3+x^2-80x+242\)	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.by.2.3, $\ldots$	$[]$
45.a4	45a3	45.a	45a	$8$	$16$	\( 3^{2} \cdot 5 \)	\( 3^{7} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.77	2B	$480$	$768$	$13$	$1$	$1$		$0$	$8$	$0.147029$	$56667352321/15$	$1.03019$	$8.23612$	$[1, -1, 0, -720, -7259]$	\(y^2+xy=x^3-x^2-720x-7259\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.2, 16.48.0-16.g.1.12, $\ldots$	$[]$
75.b4	75b4	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	$480$	$768$	$13$	$1$	$1$		$0$	$24$	$0.402442$	$56667352321/15$	$1.03019$	$7.97155$	$[1, 0, 1, -2001, 34273]$	\(y^2+xy+y=x^3-2001x+34273\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.1, 16.48.0-16.g.1.1, $\ldots$	$[]$
225.b4	225c3	225.b	225c	$8$	$16$	\( 3^{2} \cdot 5^{2} \)	\( 3^{7} \cdot 5^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.15	2B	$480$	$768$	$13$	$1$	$1$		$0$	$192$	$0.951748$	$56667352321/15$	$1.03019$	$7.57164$	$[1, -1, 1, -18005, -925378]$	\(y^2+xy+y=x^3-x^2-18005x-925378\)	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.by.2.6, $\ldots$	$[]$
240.d4	240d3	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	$480$	$768$	$13$	$1$	$4$	$2$	$1$	$64$	$0.290870$	$56667352321/15$	$1.03019$	$6.03547$	$[0, 1, 0, -1280, -18060]$	\(y^2=x^3+x^2-1280x-18060\)	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.by.2.11, $\ldots$	$[]$
720.c4	720h4	720.c	720h	$8$	$16$	\( 2^{4} \cdot 3^{2} \cdot 5 \)	\( 2^{12} \cdot 3^{7} \cdot 5 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.31	2B	$480$	$768$	$13$	$1.300312843$	$1$		$5$	$512$	$0.840176$	$56667352321/15$	$1.03019$	$6.02955$	$[0, 0, 0, -11523, 476098]$	\(y^2=x^3-11523x+476098\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.1, 16.48.0-16.g.1.16, $\ldots$	$[(63, 14)]$
735.c4	735e3	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	$3360$	$768$	$13$	$2.756712307$	$1$		$2$	$384$	$0.570678$	$56667352321/15$	$1.03019$	$5.52070$	$[1, 0, 0, -3921, -94830]$	\(y^2+xy=x^3-3921x-94830\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(74, 110)]$
960.a4	960i3	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	$480$	$768$	$13$	$1$	$4$	$2$	$1$	$512$	$0.637444$	$56667352321/15$	$1.03019$	$5.42267$	$[0, -1, 0, -5121, -139359]$	\(y^2=x^3-x^2-5121x-139359\)	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.by.2.1, $\ldots$	$[]$
960.l4	960g4	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	$480$	$768$	$13$	$1$	$1$		$1$	$512$	$0.637444$	$56667352321/15$	$1.03019$	$5.42267$	$[0, 1, 0, -5121, 139359]$	\(y^2=x^3+x^2-5121x+139359\)	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.by.2.9, $\ldots$	$[]$
1200.e4	1200j3	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	$480$	$768$	$13$	$1$	$4$	$2$	$1$	$1536$	$1.095589$	$56667352321/15$	$1.03019$	$6.02742$	$[0, -1, 0, -32008, -2193488]$	\(y^2=x^3-x^2-32008x-2193488\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.2, 16.48.0-16.g.1.5, $\ldots$	$[]$
1815.d4	1815a3	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	$5280$	$768$	$13$	$6.664295827$	$1$		$0$	$1280$	$0.796670$	$56667352321/15$	$1.03019$	$5.21704$	$[1, 1, 0, -9682, -370751]$	\(y^2+xy=x^3+x^2-9682x-370751\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(555/2, 7369/2)]$
2205.i4	2205j4	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	$3360$	$768$	$13$	$1$	$1$		$0$	$3072$	$1.119984$	$56667352321/15$	$1.03019$	$5.58910$	$[1, -1, 0, -35289, 2560410]$	\(y^2+xy=x^3-x^2-35289x+2560410\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
2535.j4	2535a4	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	$6240$	$768$	$13$	$4.113280102$	$1$		$0$	$2304$	$0.880198$	$56667352321/15$	$1.03019$	$5.12253$	$[1, 1, 0, -13523, 599682]$	\(y^2+xy=x^3+x^2-13523x+599682\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(943/2, 25083/2)]$
2880.y4	2880r3	2880.y	2880r	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5 \)	\( 2^{18} \cdot 3^{7} \cdot 5 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.45	2B	$480$	$768$	$13$	$5.298196352$	$1$		$3$	$4096$	$1.186749$	$56667352321/15$	$1.03019$	$5.50230$	$[0, 0, 0, -46092, -3808784]$	\(y^2=x^3-46092x-3808784\)	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.by.2.13, $\ldots$	$[(276, 2120)]$
2880.bc4	2880bd4	2880.bc	2880bd	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5 \)	\( 2^{18} \cdot 3^{7} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.83	2B	$480$	$768$	$13$	$1$	$1$		$1$	$4096$	$1.186749$	$56667352321/15$	$1.03019$	$5.50230$	$[0, 0, 0, -46092, 3808784]$	\(y^2=x^3-46092x+3808784\)	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.by.2.5, $\ldots$	$[]$
3600.u4	3600bf4	3600.u	3600bf	$8$	$16$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{12} \cdot 3^{7} \cdot 5^{7} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.7	2B	$480$	$768$	$13$	$2.400975354$	$1$		$9$	$12288$	$1.644896$	$56667352321/15$	$1.03019$	$6.02374$	$[0, 0, 0, -288075, 59512250]$	\(y^2=x^3-288075x+59512250\)	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.by.2.14, $\ldots$	$[(311, 34)]$
3675.j4	3675e3	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	$3360$	$768$	$13$	$1$	$1$		$0$	$9216$	$1.375397$	$56667352321/15$	$1.03019$	$5.61467$	$[1, 1, 0, -98025, -11853750]$	\(y^2+xy=x^3+x^2-98025x-11853750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
4335.c4	4335d4	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	$8160$	$768$	$13$	$1$	$1$		$0$	$5120$	$1.014330$	$56667352321/15$	$1.03019$	$4.98655$	$[1, 0, 0, -23126, 1351701]$	\(y^2+xy=x^3-23126x+1351701\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
4800.t4	4800b4	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	$480$	$768$	$13$	$0.928726450$	$1$		$5$	$12288$	$1.442162$	$56667352321/15$	$1.03019$	$5.53229$	$[0, -1, 0, -128033, 17675937]$	\(y^2=x^3-x^2-128033x+17675937\)	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.by.2.12, $\ldots$	$[(297, 2400)]$
4800.bz4	4800cd3	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	$480$	$768$	$13$	$8.595567489$	$1$		$1$	$12288$	$1.442162$	$56667352321/15$	$1.03019$	$5.53229$	$[0, 1, 0, -128033, -17675937]$	\(y^2=x^3+x^2-128033x-17675937\)	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.by.2.4, $\ldots$	$[(8953/3, 782704/3)]$
5415.j4	5415k3	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	$9120$	$768$	$13$	$1$	$16$	$2$	$0$	$6912$	$1.069942$	$56667352321/15$	$1.03019$	$4.93515$	$[1, 0, 1, -28888, -1892197]$	\(y^2+xy+y=x^3-28888x-1892197\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
5445.c4	5445g4	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	$5280$	$768$	$13$	$0.584554973$	$1$		$8$	$10240$	$1.345976$	$56667352321/15$	$1.03019$	$5.31703$	$[1, -1, 1, -87143, 9923136]$	\(y^2+xy+y=x^3-x^2-87143x+9923136\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(146, 471)]$
7605.g4	7605q3	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	$6240$	$768$	$13$	$5.070437301$	$1$		$2$	$18432$	$1.429502$	$56667352321/15$	$1.03019$	$5.23040$	$[1, -1, 1, -121712, -16313124]$	\(y^2+xy+y=x^3-x^2-121712x-16313124\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(1869, 78326)]$
7935.d4	7935b3	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	$11040$	$768$	$13$	$1$	$4$	$2$	$0$	$12672$	$1.165470$	$56667352321/15$	$1.03019$	$4.85279$	$[1, 1, 1, -42331, -3369886]$	\(y^2+xy+y=x^3+x^2-42331x-3369886\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
9075.g4	9075l3	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	$5280$	$768$	$13$	$7.550255175$	$1$		$2$	$30720$	$1.601389$	$56667352321/15$	$1.03019$	$5.35531$	$[1, 0, 0, -242063, -45859758]$	\(y^2+xy=x^3-242063x-45859758\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(9222, 879714)]$
11025.p4	11025z4	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	$3360$	$768$	$13$	$0.654479105$	$1$		$10$	$73728$	$1.924702$	$56667352321/15$	$1.03019$	$5.66015$	$[1, -1, 1, -882230, 319169022]$	\(y^2+xy+y=x^3-x^2-882230x+319169022\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(548, -54)]$
11760.p4	11760bq4	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	$3360$	$768$	$13$	$1.848238002$	$1$		$5$	$24576$	$1.263824$	$56667352321/15$	$1.03019$	$4.77502$	$[0, -1, 0, -62736, 6069120]$	\(y^2=x^3-x^2-62736x+6069120\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(146, 22)]$
12615.f4	12615f4	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	$13920$	$768$	$13$	$13.91329384$	$1$		$0$	$25088$	$1.281370$	$56667352321/15$	$1.03019$	$4.76183$	$[1, 0, 1, -67298, 6714041]$	\(y^2+xy+y=x^3-67298x+6714041\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(1137503/22, 1193639367/22)]$
12675.n4	12675x4	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	$6240$	$768$	$13$	$1$	$1$		$0$	$55296$	$1.684916$	$56667352321/15$	$1.03019$	$5.27202$	$[1, 0, 0, -338088, 75636417]$	\(y^2+xy=x^3-338088x+75636417\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
13005.p4	13005n3	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	$8160$	$768$	$13$	$12.34026411$	$1$		$0$	$40960$	$1.563635$	$56667352321/15$	$1.03019$	$5.10408$	$[1, -1, 0, -208134, -36495927]$	\(y^2+xy=x^3-x^2-208134x-36495927\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(2598859/70, 406100283/70)]$
14400.cj4	14400y3	14400.cj	14400y	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{18} \cdot 3^{7} \cdot 5^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.87	2B	$480$	$768$	$13$	$1$	$1$		$1$	$98304$	$1.991468$	$56667352321/15$	$1.03019$	$5.58595$	$[0, 0, 0, -1152300, -476098000]$	\(y^2=x^3-1152300x-476098000\)	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.by.2.16, $\ldots$	$[]$
14400.cz4	14400dp4	14400.cz	14400dp	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{18} \cdot 3^{7} \cdot 5^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.91	2B	$480$	$768$	$13$	$5.036899059$	$1$		$3$	$98304$	$1.991468$	$56667352321/15$	$1.03019$	$5.58595$	$[0, 0, 0, -1152300, 476098000]$	\(y^2=x^3-1152300x+476098000\)	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.by.2.8, $\ldots$	$[(2645, 126225)]$
14415.d4	14415g3	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	$14880$	$768$	$13$	$1$	$16$	$2$	$0$	$30720$	$1.314716$	$56667352321/15$	$1.03019$	$4.73729$	$[1, 0, 0, -76900, -8214415]$	\(y^2+xy=x^3-76900x-8214415\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
16245.c4	16245d4	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	$9120$	$768$	$13$	$4.111075049$	$1$		$0$	$55296$	$1.619247$	$56667352321/15$	$1.03019$	$5.05581$	$[1, -1, 1, -259988, 51089312]$	\(y^2+xy+y=x^3-x^2-259988x+51089312\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(1215/2, 959/2)]$
20535.f4	20535a4	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	$17760$	$768$	$13$	$8.331785168$	$1$		$0$	$48384$	$1.403181$	$56667352321/15$	$1.03019$	$4.67538$	$[1, 1, 0, -109548, 13910253]$	\(y^2+xy=x^3+x^2-109548x+13910253\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(6077/4, 322081/4)]$
21675.s4	21675c4	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	$8160$	$768$	$13$	$2.272858305$	$1$		$2$	$122880$	$1.819048$	$56667352321/15$	$1.03019$	$5.14992$	$[1, 1, 0, -578150, 168962625]$	\(y^2+xy=x^3+x^2-578150x+168962625\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(1480, 49835)]$
23805.s4	23805t4	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	$11040$	$768$	$13$	$1$	$1$		$0$	$101376$	$1.714775$	$56667352321/15$	$1.03019$	$4.97786$	$[1, -1, 0, -380979, 90605938]$	\(y^2+xy=x^3-x^2-380979x+90605938\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
25215.f4	25215h4	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	$19680$	$768$	$13$	$10.82426373$	$1$		$0$	$66560$	$1.454508$	$56667352321/15$	$1.03019$	$4.64144$	$[1, 0, 0, -134515, 18977882]$	\(y^2+xy=x^3-134515x+18977882\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(65422/11, 13238498/11)]$
27075.f4	27075g4	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	$9120$	$768$	$13$	$27.43001932$	$1$		$4$	$165888$	$1.874660$	$56667352321/15$	$1.03019$	$5.10306$	$[1, 1, 1, -722188, -236524594]$	\(y^2+xy+y=x^3+x^2-722188x-236524594\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(-491, 252), (114999/2, 38866499/2)]$
27225.bp4	27225bi4	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	$5280$	$768$	$13$	$1.644935719$	$1$		$4$	$245760$	$2.150696$	$56667352321/15$	$1.03019$	$5.42467$	$[1, -1, 0, -2178567, 1238213466]$	\(y^2+xy=x^3-x^2-2178567x+1238213466\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(850, -546)]$
27735.k4	27735g4	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	$20640$	$768$	$13$	$25.92657959$	$1$		$0$	$80640$	$1.478323$	$56667352321/15$	$1.03019$	$4.62616$	$[1, 0, 1, -147959, -21918073]$	\(y^2+xy+y=x^3-147959x-21918073\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(6943956090785/62816, 17601200266788884673/62816)]$
29040.df4	29040dg4	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	$5280$	$768$	$13$	$4.497953220$	$1$		$1$	$81920$	$1.489817$	$56667352321/15$	$1.03019$	$4.61888$	$[0, 1, 0, -154920, 23418228]$	\(y^2=x^3+x^2-154920x+23418228\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(917/2, 489/2)]$
33135.d4	33135a4	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	$22560$	$768$	$13$	$1$	$4$	$2$	$0$	$103040$	$1.522797$	$56667352321/15$	$1.03019$	$4.59836$	$[1, 1, 1, -176766, -28678932]$	\(y^2+xy+y=x^3+x^2-176766x-28678932\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
35280.do4	35280fr4	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	$3360$	$768$	$13$	$4.430720757$	$1$		$3$	$196608$	$1.813131$	$56667352321/15$	$1.03019$	$4.90354$	$[0, 0, 0, -564627, -163301614]$	\(y^2=x^3-564627x-163301614\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(1330, 37926)]$
37845.d4	37845d4	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	$13920$	$768$	$13$	$1$	$4$	$2$	$0$	$200704$	$1.830677$	$56667352321/15$	$1.03019$	$4.89087$	$[1, -1, 1, -605678, -181279114]$	\(y^2+xy+y=x^3-x^2-605678x-181279114\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
38025.cj4	38025bc4	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	$6240$	$768$	$13$	$1$	$4$	$2$	$0$	$442368$	$2.234222$	$56667352321/15$	$1.03019$	$5.34785$	$[1, -1, 0, -3042792, -2042183259]$	\(y^2+xy=x^3-x^2-3042792x-2042183259\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
39675.bk4	39675bc4	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	$11040$	$768$	$13$	$30.30371959$	$1$		$0$	$304128$	$1.970188$	$56667352321/15$	$1.03019$	$5.02717$	$[1, 0, 1, -1058276, -419119177]$	\(y^2+xy+y=x^3-1058276x-419119177\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(332427978681967/31482, 6055769832040853261641/31482)]$
40560.bv4	40560ca4	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	$6240$	$768$	$13$	$7.166956954$	$4$	$2$	$3$	$147456$	$1.573345$	$56667352321/15$	$1.03019$	$4.56790$	$[0, 1, 0, -216376, -38812396]$	\(y^2=x^3+x^2-216376x-38812396\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(1027, 28692)]$
42135.k4	42135f4	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	$25440$	$768$	$13$	$1$	$1$		$0$	$146432$	$1.582869$	$56667352321/15$	$1.03019$	$4.56230$	$[1, 0, 1, -224779, 40999811]$	\(y^2+xy+y=x^3-224779x+40999811\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
43245.h4	43245b4	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	$14880$	$768$	$13$	$9.862513326$	$1$		$0$	$245760$	$1.864021$	$56667352321/15$	$1.03019$	$4.86724$	$[1, -1, 0, -692100, 221789205]$	\(y^2+xy=x^3-x^2-692100x+221789205\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(790111/26, 547898499/26)]$