Elliptic curve search results

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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
121.b1	121b2	121.b	121b	$2$	$11$	\( 11^{2} \)	\( - 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓	$11$	11.120.1.10	11B.1.8				$0.987636717$	$1$		$4$	$44$	$0.575875$	$-32768$	$1.02512$	$6.67870$	$[0, -1, 1, -887, -10143]$	\(y^2+y=x^3-x^2-887x-10143\)		$[(81, 665)]$
121.b2	121b1	121.b	121b	$2$	$11$	\( 11^{2} \)	\( - 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓	$11$	11.120.1.5	11B.1.3				$0.089785156$	$1$		$6$	$4$	$-0.623073$	$-32768$	$1.02512$	$3.67870$	$[0, -1, 1, -7, 10]$	\(y^2+y=x^3-x^2-7x+10\)		$[(4, 5)]$
1089.g1	1089e2	1089.g	1089e	$2$	$11$	\( 3^{2} \cdot 11^{2} \)	\( - 3^{6} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$1320$	$1.125181$	$-32768$	$1.02512$	$5.52284$	$[0, 0, 1, -7986, 281839]$	\(y^2+y=x^3-7986x+281839\)		$[ ]$
1089.g2	1089e1	1089.g	1089e	$2$	$11$	\( 3^{2} \cdot 11^{2} \)	\( - 3^{6} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$120$	$-0.073767$	$-32768$	$1.02512$	$3.46545$	$[0, 0, 1, -66, -212]$	\(y^2+y=x^3-66x-212\)		$[ ]$
1936.h1	1936f2	1936.h	1936f	$2$	$11$	\( 2^{4} \cdot 11^{2} \)	\( - 2^{12} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$3168$	$1.269022$	$-32768$	$1.02512$	$5.33105$	$[0, 1, 0, -14197, 663331]$	\(y^2=x^3+x^2-14197x+663331\)		$[ ]$
1936.h2	1936f1	1936.h	1936f	$2$	$11$	\( 2^{4} \cdot 11^{2} \)	\( - 2^{12} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$288$	$0.070074$	$-32768$	$1.02512$	$3.43007$	$[0, 1, 0, -117, -541]$	\(y^2=x^3+x^2-117x-541\)		$[ ]$
3025.d1	3025a2	3025.d	3025a	$2$	$11$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$8.291560481$	$1$		$2$	$4752$	$1.380594$	$-32768$	$1.02512$	$5.20125$	$[0, 1, 1, -22183, -1312206]$	\(y^2+y=x^3+x^2-22183x-1312206\)		$[(145482, 55490055)]$
3025.d2	3025a1	3025.d	3025a	$2$	$11$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$0.753778225$	$1$		$4$	$432$	$0.181646$	$-32768$	$1.02512$	$3.40612$	$[0, 1, 1, -183, 919]$	\(y^2+y=x^3+x^2-183x+919\)		$[(7, 5)]$
5929.e1	5929a2	5929.e	5929a	$2$	$11$	\( 7^{2} \cdot 11^{2} \)	\( - 7^{6} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$16896$	$1.548830$	$-32768$	$1.02512$	$5.03074$	$[0, 1, 1, -43479, 3565909]$	\(y^2+y=x^3+x^2-43479x+3565909\)		$[ ]$
5929.e2	5929a1	5929.e	5929a	$2$	$11$	\( 7^{2} \cdot 11^{2} \)	\( - 7^{6} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$1536$	$0.349882$	$-32768$	$1.02512$	$3.37466$	$[0, 1, 1, -359, -2810]$	\(y^2+y=x^3+x^2-359x-2810\)		$[ ]$
7744.n1	7744s2	7744.n	7744s	$2$	$11$	\( 2^{6} \cdot 11^{2} \)	\( - 2^{6} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$6336$	$0.922448$	$-32768$	$1.02512$	$4.04130$	$[0, -1, 0, -3549, 84691]$	\(y^2=x^3-x^2-3549x+84691\)		$[ ]$
7744.n2	7744s1	7744.n	7744s	$2$	$11$	\( 2^{6} \cdot 11^{2} \)	\( - 2^{6} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$576$	$-0.276499$	$-32768$	$1.02512$	$2.43461$	$[0, -1, 0, -29, -53]$	\(y^2=x^3-x^2-29x-53\)		$[ ]$
7744.bb1	7744a2	7744.bb	7744a	$2$	$11$	\( 2^{6} \cdot 11^{2} \)	\( - 2^{6} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$9.361574582$	$1$		$0$	$6336$	$0.922448$	$-32768$	$1.02512$	$4.04130$	$[0, 1, 0, -3549, -84691]$	\(y^2=x^3+x^2-3549x-84691\)		$[(405940/23, 258002371/23)]$
7744.bb2	7744a1	7744.bb	7744a	$2$	$11$	\( 2^{6} \cdot 11^{2} \)	\( - 2^{6} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$0.851052234$	$1$		$2$	$576$	$-0.276499$	$-32768$	$1.02512$	$2.43461$	$[0, 1, 0, -29, 53]$	\(y^2=x^3+x^2-29x+53\)		$[(-4, 11)]$
17424.cb1	17424bl2	17424.cb	17424bl	$2$	$11$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{6} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$24.78785086$	$1$		$0$	$95040$	$1.818329$	$-32768$	$1.02512$	$4.80657$	$[0, 0, 0, -127776, -18037712]$	\(y^2=x^3-127776x-18037712\)		$[(1417675406433/58367, 183812129731156729/58367)]$
17424.cb2	17424bl1	17424.cb	17424bl	$2$	$11$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{6} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$2.253440988$	$1$		$2$	$8640$	$0.619381$	$-32768$	$1.02512$	$3.33330$	$[0, 0, 0, -1056, 13552]$	\(y^2=x^3-1056x+13552\)		$[(33, 121)]$
20449.e1	20449a2	20449.e	20449a	$2$	$11$	\( 11^{2} \cdot 13^{2} \)	\( - 11^{9} \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$8.027783124$	$1$		$2$	$103488$	$1.858349$	$-32768$	$1.02512$	$4.77744$	$[0, -1, 1, -149959, -22883378]$	\(y^2+y=x^3-x^2-149959x-22883378\)		$[(39620, 7885793)]$
20449.e2	20449a1	20449.e	20449a	$2$	$11$	\( 11^{2} \cdot 13^{2} \)	\( - 11^{3} \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$0.729798465$	$1$		$4$	$9408$	$0.659402$	$-32768$	$1.02512$	$3.32793$	$[0, -1, 1, -1239, 17643]$	\(y^2+y=x^3-x^2-1239x+17643\)		$[(9, 84)]$
27225.ba1	27225ba2	27225.ba	27225ba	$2$	$11$	\( 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{6} \cdot 5^{6} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$142560$	$1.929899$	$-32768$	$1.02512$	$4.72762$	$[0, 0, 1, -199650, 35229906]$	\(y^2+y=x^3-199650x+35229906\)		$[ ]$
27225.ba2	27225ba1	27225.ba	27225ba	$2$	$11$	\( 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{6} \cdot 5^{6} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$12960$	$0.730952$	$-32768$	$1.02512$	$3.31874$	$[0, 0, 1, -1650, -26469]$	\(y^2+y=x^3-1650x-26469\)		$[ ]$
34969.j1	34969a2	34969.j	34969a	$2$	$11$	\( 11^{2} \cdot 17^{2} \)	\( - 11^{9} \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$16.07948293$	$1$		$0$	$228096$	$1.992481$	$-32768$	$1.02512$	$4.68629$	$[0, 1, 1, -256439, -51369785]$	\(y^2+y=x^3+x^2-256439x-51369785\)		$[(4012235785/2577, 65372961009502/2577)]$
34969.j2	34969a1	34969.j	34969a	$2$	$11$	\( 11^{2} \cdot 17^{2} \)	\( - 11^{3} \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1.461771175$	$1$		$0$	$20736$	$0.793534$	$-32768$	$1.02512$	$3.31111$	$[0, 1, 1, -2119, 37824]$	\(y^2+y=x^3+x^2-2119x+37824\)		$[(184/3, 1576/3)]$
43681.h1	43681c2	43681.h	43681c	$2$	$11$	\( 11^{2} \cdot 19^{2} \)	\( - 11^{9} \cdot 19^{6} \)	$2$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$5.632937753$	$1$		$4$	$316800$	$2.048096$	$-32768$	$1.02512$	$4.65118$	$[0, 1, 1, -320327, 71490832]$	\(y^2+y=x^3+x^2-320327x+71490832\)		$[(761/4, 480459/4), (386, 2346)]$
43681.h2	43681c1	43681.h	43681c	$2$	$11$	\( 11^{2} \cdot 19^{2} \)	\( - 11^{3} \cdot 19^{6} \)	$2$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$5.632937753$	$1$		$6$	$28800$	$0.849147$	$-32768$	$1.02512$	$3.30463$	$[0, 1, 1, -2647, -54675]$	\(y^2+y=x^3+x^2-2647x-54675\)		$[(63, 180), (2229, 105231)]$
48400.bf1	48400bk2	48400.bf	48400bk	$2$	$11$	\( 2^{4} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 5^{6} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$342144$	$2.073742$	$-32768$	$1.02512$	$4.63547$	$[0, -1, 0, -354933, 83626237]$	\(y^2=x^3-x^2-354933x+83626237\)		$[ ]$
48400.bf2	48400bk1	48400.bf	48400bk	$2$	$11$	\( 2^{4} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 5^{6} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$31104$	$0.874793$	$-32768$	$1.02512$	$3.30174$	$[0, -1, 0, -2933, -61763]$	\(y^2=x^3-x^2-2933x-61763\)		$[ ]$
53361.x1	53361y2	53361.x	53361y	$2$	$11$	\( 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{6} \cdot 7^{6} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$9.429401792$	$1$		$0$	$506880$	$2.098137$	$-32768$	$1.02512$	$4.62081$	$[0, 0, 1, -391314, -96670863]$	\(y^2+y=x^3-391314x-96670863\)		$[(2507967/43, 3436316747/43)]$
53361.x2	53361y1	53361.x	53361y	$2$	$11$	\( 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{6} \cdot 7^{6} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$0.857218344$	$1$		$4$	$46080$	$0.899188$	$-32768$	$1.02512$	$3.29903$	$[0, 0, 1, -3234, 72630]$	\(y^2+y=x^3-3234x+72630\)		$[(0, 269)]$
64009.b1	64009a2	64009.b	64009a	$2$	$11$	\( 11^{2} \cdot 23^{2} \)	\( - 11^{9} \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$479160$	$2.143623$	$-32768$	$1.02512$	$4.59417$	$[0, -1, 1, -469399, 127161583]$	\(y^2+y=x^3-x^2-469399x+127161583\)		$[ ]$
64009.b2	64009a1	64009.b	64009a	$2$	$11$	\( 11^{2} \cdot 23^{2} \)	\( - 11^{3} \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$43560$	$0.944674$	$-32768$	$1.02512$	$3.29412$	$[0, -1, 1, -3879, -94128]$	\(y^2+y=x^3-x^2-3879x-94128\)		$[ ]$
69696.w1	69696fh2	69696.w	69696fh	$2$	$11$	\( 2^{6} \cdot 3^{2} \cdot 11^{2} \)	\( - 2^{6} \cdot 3^{6} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$11.59351838$	$1$		$0$	$190080$	$1.471754$	$-32768$	$1.02512$	$3.83614$	$[0, 0, 0, -31944, -2254714]$	\(y^2=x^3-31944x-2254714\)		$[(3489035/67, 6326406713/67)]$
69696.w2	69696fh1	69696.w	69696fh	$2$	$11$	\( 2^{6} \cdot 3^{2} \cdot 11^{2} \)	\( - 2^{6} \cdot 3^{6} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1.053956216$	$1$		$2$	$17280$	$0.272807$	$-32768$	$1.02512$	$2.54601$	$[0, 0, 0, -264, 1694]$	\(y^2=x^3-264x+1694\)		$[(11, 11)]$
69696.x1	69696bf2	69696.x	69696bf	$2$	$11$	\( 2^{6} \cdot 3^{2} \cdot 11^{2} \)	\( - 2^{6} \cdot 3^{6} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$190080$	$1.471754$	$-32768$	$1.02512$	$3.83614$	$[0, 0, 0, -31944, 2254714]$	\(y^2=x^3-31944x+2254714\)		$[ ]$
69696.x2	69696bf1	69696.x	69696bf	$2$	$11$	\( 2^{6} \cdot 3^{2} \cdot 11^{2} \)	\( - 2^{6} \cdot 3^{6} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$17280$	$0.272807$	$-32768$	$1.02512$	$2.54601$	$[0, 0, 0, -264, -1694]$	\(y^2=x^3-264x-1694\)		$[ ]$
94864.bk1	94864bt2	94864.bk	94864bt	$2$	$11$	\( 2^{4} \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 7^{6} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$21.00955291$	$1$		$0$	$1216512$	$2.241978$	$-32768$	$1.02512$	$4.53944$	$[0, -1, 0, -695669, -228913859]$	\(y^2=x^3-x^2-695669x-228913859\)		$[(255758636325/13198, 100549428573082643/13198)]$
94864.bk2	94864bt1	94864.bk	94864bt	$2$	$11$	\( 2^{4} \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{12} \cdot 7^{6} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1.909959355$	$1$		$0$	$110592$	$1.043030$	$-32768$	$1.02512$	$3.28402$	$[0, -1, 0, -5749, 174077]$	\(y^2=x^3-x^2-5749x+174077\)		$[(181/2, 539/2)]$
101761.f1	101761a2	101761.f	101761a	$2$	$11$	\( 11^{2} \cdot 29^{2} \)	\( - 11^{9} \cdot 29^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$10.24606687$	$1$		$0$	$1108800$	$2.259521$	$-32768$	$1.02512$	$4.53007$	$[0, 1, 1, -746247, -254833100]$	\(y^2+y=x^3+x^2-746247x-254833100\)		$[(551452/23, 122356473/23)]$
101761.f2	101761a1	101761.f	101761a	$2$	$11$	\( 11^{2} \cdot 29^{2} \)	\( - 11^{3} \cdot 29^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$0.931460625$	$1$		$4$	$100800$	$1.060575$	$-32768$	$1.02512$	$3.28229$	$[0, 1, 1, -6167, 189217]$	\(y^2+y=x^3+x^2-6167x+189217\)		$[(77, 420)]$
116281.b1	116281a2	116281.b	116281a	$2$	$11$	\( 11^{2} \cdot 31^{2} \)	\( - 11^{9} \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$1318680$	$2.292870$	$-32768$	$1.02512$	$4.51257$	$[0, 1, 1, -852727, 310688835]$	\(y^2+y=x^3+x^2-852727x+310688835\)		$[ ]$
116281.b2	116281a1	116281.b	116281a	$2$	$11$	\( 11^{2} \cdot 31^{2} \)	\( - 11^{3} \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$119880$	$1.093922$	$-32768$	$1.02512$	$3.27906$	$[0, 1, 1, -7047, -235988]$	\(y^2+y=x^3+x^2-7047x-235988\)		$[ ]$
148225.bj1	148225bj2	148225.bj	148225bj	$2$	$11$	\( 5^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 7^{6} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$1824768$	$2.353550$	$-32768$	$1.02512$	$4.48174$	$[0, -1, 1, -1086983, 447912618]$	\(y^2+y=x^3-x^2-1086983x+447912618\)		$[ ]$
148225.bj2	148225bj1	148225.bj	148225bj	$2$	$11$	\( 5^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 7^{6} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$165888$	$1.154602$	$-32768$	$1.02512$	$3.27337$	$[0, -1, 1, -8983, -333257]$	\(y^2+y=x^3-x^2-8983x-333257\)		$[ ]$
165649.g1	165649g2	165649.g	165649g	$2$	$11$	\( 11^{2} \cdot 37^{2} \)	\( - 11^{9} \cdot 37^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$42.72940137$	$1$		$0$	$2209680$	$2.381332$	$-32768$	$1.02512$	$4.46803$	$[0, -1, 1, -1214759, -528335952]$	\(y^2+y=x^3-x^2-1214759x-528335952\)		$[(125585208170693915076/96971557, 1402357493164377896829644327492/96971557)]$
165649.g2	165649g1	165649.g	165649g	$2$	$11$	\( 11^{2} \cdot 37^{2} \)	\( - 11^{3} \cdot 37^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$3.884491034$	$1$		$2$	$200880$	$1.182386$	$-32768$	$1.02512$	$3.27084$	$[0, -1, 1, -10039, 400597]$	\(y^2+y=x^3-x^2-10039x+400597\)		$[(-95, 698)]$
184041.q1	184041o2	184041.q	184041o	$2$	$11$	\( 3^{2} \cdot 11^{2} \cdot 13^{2} \)	\( - 3^{6} \cdot 11^{9} \cdot 13^{6} \)	$2$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$10.12757835$	$1$		$2$	$3104640$	$2.407654$	$-32768$	$1.02512$	$4.45528$	$[0, 0, 1, -1349634, 619200832]$	\(y^2+y=x^3-1349634x+619200832\)		$[(6292/3, 112456/3), (2057/2, 62553/2)]$
184041.q2	184041o1	184041.q	184041o	$2$	$11$	\( 3^{2} \cdot 11^{2} \cdot 13^{2} \)	\( - 3^{6} \cdot 11^{3} \cdot 13^{6} \)	$2$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$10.12757835$	$1$		$4$	$282240$	$1.208708$	$-32768$	$1.02512$	$3.26849$	$[0, 0, 1, -11154, -465215]$	\(y^2+y=x^3-11154x-465215\)		$[(143, 929), (5993/7, 3800/7)]$
193600.cz1	193600gy2	193600.cz	193600gy	$2$	$11$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{6} \cdot 5^{6} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$21.88765885$	$1$		$0$	$684288$	$1.727167$	$-32768$	$1.02512$	$3.76597$	$[0, -1, 0, -88733, -10408913]$	\(y^2=x^3-x^2-88733x-10408913\)		$[(81488308466/14321, 12075377103746803/14321)]$
193600.cz2	193600gy1	193600.cz	193600gy	$2$	$11$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{6} \cdot 5^{6} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1.989787168$	$1$		$2$	$62208$	$0.528220$	$-32768$	$1.02512$	$2.58411$	$[0, -1, 0, -733, 8087]$	\(y^2=x^3-x^2-733x+8087\)		$[(26, 77)]$
193600.gr1	193600du2	193600.gr	193600du	$2$	$11$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{6} \cdot 5^{6} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$684288$	$1.727167$	$-32768$	$1.02512$	$3.76597$	$[0, 1, 0, -88733, 10408913]$	\(y^2=x^3+x^2-88733x+10408913\)		$[ ]$
193600.gr2	193600du1	193600.gr	193600du	$2$	$11$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{6} \cdot 5^{6} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$62208$	$0.528220$	$-32768$	$1.02512$	$2.58411$	$[0, 1, 0, -733, -8087]$	\(y^2=x^3+x^2-733x-8087\)		$[ ]$

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