Elliptic curve search results

Results (32 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
2340.c1	2340b2	2340.c	2340b	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.750418508$	$1$		$7$	$768$	$0.229191$	$98055792/8125$	$1.02576$	$3.51152$	$[0, 0, 0, -183, -882]$	\(y^2=x^3-183x-882\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(-9, 6)]$
2340.h1	2340d2	2340.h	2340d	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$2304$	$0.778498$	$98055792/8125$	$1.02576$	$4.36119$	$[0, 0, 0, -1647, 23814]$	\(y^2=x^3-1647x+23814\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
9360.q1	9360z2	9360.q	9360z	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.311865019$	$1$		$3$	$3072$	$0.229191$	$98055792/8125$	$1.02576$	$2.97916$	$[0, 0, 0, -183, 882]$	\(y^2=x^3-183x+882\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(-6, 42)]$
9360.bk1	9360bf2	9360.bk	9360bf	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.778498$	$98055792/8125$	$1.02576$	$3.70002$	$[0, 0, 0, -1647, -23814]$	\(y^2=x^3-1647x-23814\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
11700.l1	11700b2	11700.l	11700b	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$18432$	$1.033911$	$98055792/8125$	$1.02576$	$3.93908$	$[0, 0, 0, -4575, -110250]$	\(y^2=x^3-4575x-110250\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
11700.m1	11700a2	11700.m	11700a	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{10} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$55296$	$1.583216$	$98055792/8125$	$1.02576$	$4.64276$	$[0, 0, 0, -41175, 2976750]$	\(y^2=x^3-41175x+2976750\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
30420.f1	30420a2	30420.f	30420a	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.082506915$	$1$		$17$	$387072$	$2.060970$	$98055792/8125$	$1.02576$	$4.76839$	$[0, 0, 0, -278343, 52319358]$	\(y^2=x^3-278343x+52319358\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(559, 8450), (207, 1890)]$
30420.u1	30420c2	30420.u	30420c	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.371398278$	$1$		$3$	$129024$	$1.511665$	$98055792/8125$	$1.02576$	$4.12984$	$[0, 0, 0, -30927, -1937754]$	\(y^2=x^3-30927x-1937754\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(1222, 42250)]$
37440.bc1	37440b2	37440.bc	37440b	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.501940737$	$1$		$5$	$73728$	$1.125071$	$98055792/8125$	$1.02576$	$3.60787$	$[0, 0, 0, -6588, 190512]$	\(y^2=x^3-6588x+190512\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(61, 125)]$
37440.bv1	37440cx2	37440.bv	37440cx	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{4} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$73728$	$1.125071$	$98055792/8125$	$1.02576$	$3.60787$	$[0, 0, 0, -6588, -190512]$	\(y^2=x^3-6588x-190512\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
37440.ee1	37440dh2	37440.ee	37440dh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.512847847$	$1$		$9$	$24576$	$0.575765$	$98055792/8125$	$1.02576$	$2.98191$	$[0, 0, 0, -732, 7056]$	\(y^2=x^3-732x+7056\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(22, 40)]$
37440.er1	37440p2	37440.er	37440p	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$24576$	$0.575765$	$98055792/8125$	$1.02576$	$2.98191$	$[0, 0, 0, -732, -7056]$	\(y^2=x^3-732x-7056\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
46800.cl1	46800bw2	46800.cl	46800bw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{10} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.583216$	$98055792/8125$	$1.02576$	$4.04425$	$[0, 0, 0, -41175, -2976750]$	\(y^2=x^3-41175x-2976750\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
46800.dj1	46800bv2	46800.dj	46800bv	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$73728$	$1.033911$	$98055792/8125$	$1.02576$	$3.43127$	$[0, 0, 0, -4575, 110250]$	\(y^2=x^3-4575x+110250\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
114660.z1	114660e2	114660.z	114660e	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 7^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$5.895076957$	$1$		$1$	$884736$	$1.751451$	$98055792/8125$	$1.02576$	$3.90646$	$[0, 0, 0, -80703, -8168202]$	\(y^2=x^3-80703x-8168202\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(1897/2, 62083/2)]$
114660.bb1	114660l2	114660.bb	114660l	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.685082062$	$1$		$25$	$294912$	$1.202147$	$98055792/8125$	$1.02576$	$3.34064$	$[0, 0, 0, -8967, 302526]$	\(y^2=x^3-8967x+302526\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(7, 490), (91, 490)]$
121680.bo1	121680cf2	121680.bo	121680cf	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$4$	$2$	$1$	$1548288$	$2.060970$	$98055792/8125$	$1.02576$	$4.20384$	$[0, 0, 0, -278343, -52319358]$	\(y^2=x^3-278343x-52319358\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
121680.ee1	121680cs2	121680.ee	121680cs	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.658206114$	$1$		$3$	$516096$	$1.511665$	$98055792/8125$	$1.02576$	$3.64089$	$[0, 0, 0, -30927, 1937754]$	\(y^2=x^3-30927x+1937754\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(130, 338)]$
152100.bt1	152100dk2	152100.bt	152100dk	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{10} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$9289728$	$2.865692$	$98055792/8125$	$1.02576$	$4.93451$	$[0, 0, 0, -6958575, 6539919750]$	\(y^2=x^3-6958575x+6539919750\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
152100.ce1	152100dl2	152100.ce	152100dl	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$3096576$	$2.316383$	$98055792/8125$	$1.02576$	$4.38209$	$[0, 0, 0, -773175, -242219250]$	\(y^2=x^3-773175x-242219250\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
187200.gz1	187200ho2	187200.gz	187200ho	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.176257916$	$1$		$7$	$589824$	$1.380484$	$98055792/8125$	$1.02576$	$3.38203$	$[0, 0, 0, -18300, 882000]$	\(y^2=x^3-18300x+882000\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(30, 600)]$
187200.hb1	187200ps2	187200.hb	187200ps	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{10} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1769472$	$1.929790$	$98055792/8125$	$1.02576$	$3.92500$	$[0, 0, 0, -164700, 23814000]$	\(y^2=x^3-164700x+23814000\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
187200.jo1	187200pz2	187200.jo	187200pz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{10} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$589824$	$1.380484$	$98055792/8125$	$1.02576$	$3.38203$	$[0, 0, 0, -18300, -882000]$	\(y^2=x^3-18300x-882000\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
187200.jr1	187200hr2	187200.jr	187200hr	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$4.990817767$	$1$		$3$	$1769472$	$1.929790$	$98055792/8125$	$1.02576$	$3.92500$	$[0, 0, 0, -164700, -23814000]$	\(y^2=x^3-164700x-23814000\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(2710, 139400)]$
283140.i1	283140i2	283140.i	283140i	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 11^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$5.739334868$	$1$		$1$	$829440$	$1.428139$	$98055792/8125$	$1.02576$	$3.31611$	$[0, 0, 0, -22143, 1173942]$	\(y^2=x^3-22143x+1173942\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(1489/2, 53375/2)]$
283140.bh1	283140bh2	283140.bh	283140bh	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$2488320$	$1.977446$	$98055792/8125$	$1.02576$	$3.84119$	$[0, 0, 0, -199287, -31696434]$	\(y^2=x^3-199287x-31696434\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
458640.c1	458640c2	458640.c	458640c	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 7^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$4.516389725$	$1$		$3$	$3538944$	$1.751451$	$98055792/8125$	$1.02576$	$3.49103$	$[0, 0, 0, -80703, 8168202]$	\(y^2=x^3-80703x+8168202\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(-306, 2052)]$
458640.oe1	458640oe2	458640.oe	458640oe	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1179648$	$1.202147$	$98055792/8125$	$1.02576$	$2.98538$	$[0, 0, 0, -8967, -302526]$	\(y^2=x^3-8967x-302526\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
486720.dq1	486720dq2	486720.dq	486720dq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$7.503230094$	$1$		$3$	$4128768$	$1.858240$	$98055792/8125$	$1.02576$	$3.57305$	$[0, 0, 0, -123708, -15502032]$	\(y^2=x^3-123708x-15502032\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(8869, 834575)]$
486720.ex1	486720ex2	486720.ex	486720ex	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$4128768$	$1.858240$	$98055792/8125$	$1.02576$	$3.57305$	$[0, 0, 0, -123708, 15502032]$	\(y^2=x^3-123708x+15502032\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$
486720.ma1	486720ma2	486720.ma	486720ma	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.348824917$	$1$		$7$	$12386304$	$2.407547$	$98055792/8125$	$1.02576$	$4.07640$	$[0, 0, 0, -1113372, -418554864]$	\(y^2=x^3-1113372x-418554864\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(-738, 1080)]$
486720.nj1	486720nj2	486720.nj	486720nj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$12386304$	$2.407547$	$98055792/8125$	$1.02576$	$4.07640$	$[0, 0, 0, -1113372, 418554864]$	\(y^2=x^3-1113372x+418554864\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[ ]$

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