Elliptic curve search results

Results (38 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
1944.c1	1944i1	1944.c	1944i	$1$	$1$	\( 2^{3} \cdot 3^{5} \)	\( - 2^{8} \cdot 3^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$0.386535305$	$1$		$4$	$144$	$-0.268480$	$-82944$	$1.04124$	$2.95606$	$1$	$[0, 0, 0, -36, 84]$	\(y^2=x^3-36x+84\)	6.6.0.b.1, 12.24.1.g.1	$[(4, 2)]$	$1$
1944.h1	1944d1	1944.h	1944d	$1$	$1$	\( 2^{3} \cdot 3^{5} \)	\( - 2^{8} \cdot 3^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$432$	$0.280826$	$-82944$	$1.04124$	$3.82654$	$1$	$[0, 0, 0, -324, -2268]$	\(y^2=x^3-324x-2268\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
3888.e1	3888e1	3888.e	3888e	$1$	$1$	\( 2^{4} \cdot 3^{5} \)	\( - 2^{8} \cdot 3^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$3.348879045$	$1$		$2$	$288$	$-0.268480$	$-82944$	$1.04124$	$2.70817$	$1$	$[0, 0, 0, -36, -84]$	\(y^2=x^3-36x-84\)	6.6.0.b.1, 12.24.1.g.1	$[(25, 121)]$	$1$
3888.r1	3888c1	3888.r	3888c	$1$	$1$	\( 2^{4} \cdot 3^{5} \)	\( - 2^{8} \cdot 3^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$0.652648871$	$1$		$2$	$864$	$0.280826$	$-82944$	$1.04124$	$3.50565$	$1$	$[0, 0, 0, -324, 2268]$	\(y^2=x^3-324x+2268\)	6.6.0.b.1, 12.24.1.g.1	$[(9, 9)]$	$1$
15552.l1	15552m1	15552.l	15552m	$1$	$1$	\( 2^{6} \cdot 3^{5} \)	\( - 2^{14} \cdot 3^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$3.158466423$	$1$		$2$	$6912$	$0.627399$	$-82944$	$1.04124$	$3.43302$	$1$	$[0, 0, 0, -1296, -18144]$	\(y^2=x^3-1296x-18144\)	6.6.0.b.1, 12.24.1.g.1	$[(81, 639)]$	$1$
15552.m1	15552ce1	15552.m	15552ce	$1$	$1$	\( 2^{6} \cdot 3^{5} \)	\( - 2^{14} \cdot 3^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$2.940981196$	$1$		$2$	$6912$	$0.627399$	$-82944$	$1.04124$	$3.43302$	$1$	$[0, 0, 0, -1296, 18144]$	\(y^2=x^3-1296x+18144\)	6.6.0.b.1, 12.24.1.g.1	$[(25, 37)]$	$1$
15552.bv1	15552cc1	15552.bv	15552cc	$1$	$1$	\( 2^{6} \cdot 3^{5} \)	\( - 2^{14} \cdot 3^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$8.214607384$	$1$		$0$	$2304$	$0.078093$	$-82944$	$1.04124$	$2.75008$	$1$	$[0, 0, 0, -144, -672]$	\(y^2=x^3-144x-672\)	6.6.0.b.1, 12.24.1.g.1	$[(2521/13, 49093/13)]$	$1$
15552.bw1	15552j1	15552.bw	15552j	$1$	$1$	\( 2^{6} \cdot 3^{5} \)	\( - 2^{14} \cdot 3^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$2.325320153$	$1$		$2$	$2304$	$0.078093$	$-82944$	$1.04124$	$2.75008$	$1$	$[0, 0, 0, -144, 672]$	\(y^2=x^3-144x+672\)	6.6.0.b.1, 12.24.1.g.1	$[(1, 23)]$	$1$
48600.n1	48600a1	48600.n	48600a	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$0.465543502$	$1$		$4$	$18432$	$0.536239$	$-82944$	$1.04124$	$2.96917$	$1$	$[0, 0, 0, -900, 10500]$	\(y^2=x^3-900x+10500\)	6.6.0.b.1, 12.24.1.g.1	$[(10, 50)]$	$1$
48600.r1	48600s1	48600.r	48600s	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$55296$	$1.085545$	$-82944$	$1.04124$	$3.57999$	$1$	$[0, 0, 0, -8100, -283500]$	\(y^2=x^3-8100x-283500\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
95256.h1	95256e1	95256.h	95256e	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 7^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$0.288704953$	$1$		$22$	$165888$	$1.253780$	$-82944$	$1.04124$	$3.54595$	$1$	$[0, 0, 0, -15876, 777924]$	\(y^2=x^3-15876x+777924\)	6.6.0.b.1, 12.24.1.g.1	$[(126, 882), (0, 882)]$	$1$
95256.w1	95256t1	95256.w	95256t	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$2.348709960$	$1$		$2$	$55296$	$0.704474$	$-82944$	$1.04124$	$2.97098$	$1$	$[0, 0, 0, -1764, -28812]$	\(y^2=x^3-1764x-28812\)	6.6.0.b.1, 12.24.1.g.1	$[(49, 49)]$	$1$
97200.cu1	97200u1	97200.cu	97200u	$1$	$1$	\( 2^{4} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$110592$	$1.085545$	$-82944$	$1.04124$	$3.36392$	$1$	$[0, 0, 0, -8100, 283500]$	\(y^2=x^3-8100x+283500\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
97200.db1	97200s1	97200.db	97200s	$1$	$1$	\( 2^{4} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$36864$	$0.536239$	$-82944$	$1.04124$	$2.78996$	$1$	$[0, 0, 0, -900, -10500]$	\(y^2=x^3-900x-10500\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
190512.x1	190512er1	190512.x	190512er	$1$	$1$	\( 2^{4} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$6.535836873$	$1$		$2$	$331776$	$1.253780$	$-82944$	$1.04124$	$3.34378$	$1$	$[0, 0, 0, -15876, -777924]$	\(y^2=x^3-15876x-777924\)	6.6.0.b.1, 12.24.1.g.1	$[(4753, 327565)]$	$1$
190512.eu1	190512ey1	190512.eu	190512ey	$1$	$1$	\( 2^{4} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1.867242461$	$1$		$2$	$110592$	$0.704474$	$-82944$	$1.04124$	$2.80159$	$1$	$[0, 0, 0, -1764, 28812]$	\(y^2=x^3-1764x+28812\)	6.6.0.b.1, 12.24.1.g.1	$[(49, 245)]$	$1$
235224.n1	235224n1	235224.n	235224n	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 11^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1.994123227$	$1$		$2$	$201600$	$0.930468$	$-82944$	$1.04124$	$2.97310$	$1$	$[0, 0, 0, -4356, -111804]$	\(y^2=x^3-4356x-111804\)	6.6.0.b.1, 12.24.1.g.1	$[(154, 1694)]$	$1$
235224.bm1	235224bm1	235224.bm	235224bm	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 11^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$604800$	$1.479773$	$-82944$	$1.04124$	$3.50605$	$1$	$[0, 0, 0, -39204, 3018708]$	\(y^2=x^3-39204x+3018708\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
328536.s1	328536s1	328536.s	328536s	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$11.71316606$	$1$		$2$	$1010880$	$1.563301$	$-82944$	$1.04124$	$3.49274$	$1$	$[0, 0, 0, -54756, -4982796]$	\(y^2=x^3-54756x-4982796\)	6.6.0.b.1, 12.24.1.g.1	$[(244204, 120678238)]$	$1$
328536.bw1	328536bw1	328536.bw	328536bw	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 13^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$336960$	$1.013994$	$-82944$	$1.04124$	$2.97381$	$1$	$[0, 0, 0, -6084, 184548]$	\(y^2=x^3-6084x+184548\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
388800.hk1	388800hk1	388800.hk	388800hk	$1$	$1$	\( 2^{6} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{14} \cdot 3^{5} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$294912$	$0.882812$	$-82944$	$1.04124$	$2.81259$	$1$	$[0, 0, 0, -3600, -84000]$	\(y^2=x^3-3600x-84000\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
388800.hl1	388800hl1	388800.hl	388800hl	$1$	$1$	\( 2^{6} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$884736$	$1.432117$	$-82944$	$1.04124$	$3.32473$	$1$	$[0, 0, 0, -32400, -2268000]$	\(y^2=x^3-32400x-2268000\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
388800.ic1	388800ic1	388800.ic	388800ic	$1$	$1$	\( 2^{6} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{14} \cdot 3^{5} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$294912$	$0.882812$	$-82944$	$1.04124$	$2.81259$	$1$	$[0, 0, 0, -3600, 84000]$	\(y^2=x^3-3600x+84000\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
388800.ih1	388800ih1	388800.ih	388800ih	$1$	$1$	\( 2^{6} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$884736$	$1.432117$	$-82944$	$1.04124$	$3.32473$	$1$	$[0, 0, 0, -32400, 2268000]$	\(y^2=x^3-32400x+2268000\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
470448.be1	470448be1	470448.be	470448be	$1$	$1$	\( 2^{4} \cdot 3^{5} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 11^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$403200$	$0.930468$	$-82944$	$1.04124$	$2.81532$	$1$	$[0, 0, 0, -4356, 111804]$	\(y^2=x^3-4356x+111804\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
470448.eh1	470448eh1	470448.eh	470448eh	$1$	$1$	\( 2^{4} \cdot 3^{5} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 11^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$1209600$	$1.479773$	$-82944$	$1.04124$	$3.31999$	$1$	$[0, 0, 0, -39204, -3018708]$	\(y^2=x^3-39204x-3018708\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
762048.cm1	-	762048.cm	-	$1$	$1$	\( 2^{6} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{5} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1.590475933$	$1$		$2$	$884736$	$1.051048$	$-82944$	$1.04124$	$2.82190$	$1$	$[0, 0, 0, -7056, 230496]$	\(y^2=x^3-7056x+230496\)	6.6.0.b.1, 12.24.1.g.1	$[(49, 49)]$
762048.dh1	-	762048.dh	-	$1$	$1$	\( 2^{6} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{5} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$7.987823951$	$1$		$0$	$884736$	$1.051048$	$-82944$	$1.04124$	$2.82190$	$1$	$[0, 0, 0, -7056, -230496]$	\(y^2=x^3-7056x-230496\)	6.6.0.b.1, 12.24.1.g.1	$[(18865/6, 2555497/6)]$
762048.lf1	-	762048.lf	-	$1$	$1$	\( 2^{6} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$5.474655938$	$1$		$0$	$2654208$	$1.600355$	$-82944$	$1.04124$	$3.30859$	$1$	$[0, 0, 0, -63504, 6223392]$	\(y^2=x^3-63504x+6223392\)	6.6.0.b.1, 12.24.1.g.1	$[(2401/4, 17297/4)]$
762048.ma1	-	762048.ma	-	$1$	$1$	\( 2^{6} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$6.575521347$	$1$		$0$	$2654208$	$1.600355$	$-82944$	$1.04124$	$3.30859$	$1$	$[0, 0, 0, -63504, -6223392]$	\(y^2=x^3-63504x-6223392\)	6.6.0.b.1, 12.24.1.g.1	$[(18081/5, 2257479/5)]$
2381400.ds1	-	2381400.ds	-	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{6} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1.746751577$	$1$		$4$	$7077888$	$1.509193$	$-82944$	$1.04124$	$2.97734$	$1$	$[0, 0, 0, -44100, -3601500]$	\(y^2=x^3-44100x-3601500\)	6.6.0.b.1, 12.24.1.g.1	$[(280, 2450)]$
2381400.ht1	-	2381400.ht	-	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{6} \cdot 7^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$4.434306753$	$1$		$6$	$21233664$	$2.058498$	$-82944$	$1.04124$	$3.42627$	$1$	$[0, 0, 0, -396900, 97240500]$	\(y^2=x^3-396900x+97240500\)	6.6.0.b.1, 12.24.1.g.1	$[(385, 1225), (-140, 12250)]$
4762800.js1	-	4762800.js	-	$1$	$1$	\( 2^{4} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{6} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$42467328$	$2.058498$	$-82944$	$1.04124$	$3.27181$	$1$	$[0, 0, 0, -396900, -97240500]$	\(y^2=x^3-396900x-97240500\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$
4762800.baf1	-	4762800.baf	-	$1$	$1$	\( 2^{4} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{6} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$14155776$	$1.509193$	$-82944$	$1.04124$	$2.84312$	$1$	$[0, 0, 0, -44100, 3601500]$	\(y^2=x^3-44100x+3601500\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$
19051200.ye1	-	19051200.ye	-	$1$	$1$	\( 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{6} \cdot 7^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$5.087061169$	$1$		$6$	$339738624$	$2.405075$	$-82944$	$1.04124$	$3.24933$	$1$	$[0, 0, 0, -1587600, 777924000]$	\(y^2=x^3-1587600x+777924000\)	6.6.0.b.1, 12.24.1.g.1	$[(945, 11025), (441, 12789)]$
19051200.yk1	-	19051200.yk	-	$1$	$1$	\( 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{5} \cdot 5^{6} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$113246208$	$1.855766$	$-82944$	$1.04124$	$2.85610$	$1$	$[0, 0, 0, -176400, 28812000]$	\(y^2=x^3-176400x+28812000\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$
19051200.cjg1	-	19051200.cjg	-	$1$	$1$	\( 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{6} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$339738624$	$2.405075$	$-82944$	$1.04124$	$3.24933$	$1$	$[0, 0, 0, -1587600, -777924000]$	\(y^2=x^3-1587600x-777924000\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$
19051200.cki1	-	19051200.cki	-	$1$	$1$	\( 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{5} \cdot 5^{6} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$4$	$2$	$0$	$113246208$	$1.855766$	$-82944$	$1.04124$	$2.85610$	$1$	$[0, 0, 0, -176400, -28812000]$	\(y^2=x^3-176400x-28812000\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$

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