Elliptic curve search results

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (1-50 of 800 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	Manin constant
162.b1	162c3	162.b	162c	$4$	$21$	\( 2 \cdot 3^{4} \)	\( - 2^{7} \cdot 3^{6} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.8.0.1, 7.8.0.1	3B.1.1, 7B	$504$	$768$	$21$	$1$	$1$		$2$	$42$	$0.269368$	$-189613868625/128$	$1.12596$	$6.39987$	$[1, -1, 0, -1077, 13877]$	\(y^2+xy=x^3-x^2-1077x+13877\)	3.8.0-3.a.1.2, 7.8.0.a.1, 8.2.0.a.1, 21.128.1-21.a.4.2, 24.16.0-24.a.1.8, $\ldots$	$[ ]$	$1$
162.b2	162c4	162.b	162c	$4$	$21$	\( 2 \cdot 3^{4} \)	\( - 2^{21} \cdot 3^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.8.0.2, 7.8.0.1	3B.1.2, 7B	$504$	$768$	$21$	$1$	$1$		$0$	$126$	$0.818674$	$-1159088625/2097152$	$1.11235$	$6.54031$	$[1, -1, 0, -852, 19664]$	\(y^2+xy=x^3-x^2-852x+19664\)	3.8.0-3.a.1.1, 7.8.0.a.1, 8.2.0.a.1, 21.128.1-21.a.1.3, 24.16.0-24.a.1.6, $\ldots$	$[ ]$	$1$
162.b3	162c2	162.b	162c	$4$	$21$	\( 2 \cdot 3^{4} \)	\( - 2^{3} \cdot 3^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.8.0.2, 7.8.0.1	3B.1.2, 7B	$504$	$768$	$21$	$1$	$1$		$0$	$18$	$-0.154281$	$-140625/8$	$1.17810$	$4.50778$	$[1, -1, 0, -42, -100]$	\(y^2+xy=x^3-x^2-42x-100\)	3.8.0-3.a.1.1, 7.8.0.a.1, 8.2.0.a.1, 21.128.1-21.a.3.2, 24.16.0-24.a.1.6, $\ldots$	$[ ]$	$1$
162.b4	162c1	162.b	162c	$4$	$21$	\( 2 \cdot 3^{4} \)	\( - 2 \cdot 3^{6} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.8.0.1, 7.8.0.1	3B.1.1, 7B	$504$	$768$	$21$	$1$	$1$		$2$	$6$	$-0.703587$	$3375/2$	$1.42657$	$2.89249$	$[1, -1, 0, 3, -1]$	\(y^2+xy=x^3-x^2+3x-1\)	3.8.0-3.a.1.2, 7.8.0.a.1, 8.2.0.a.1, 21.128.1-21.a.2.2, 24.16.0-24.a.1.8, $\ldots$	$[ ]$	$1$
162.c1	162b4	162.c	162b	$4$	$21$	\( 2 \cdot 3^{4} \)	\( - 2^{7} \cdot 3^{12} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.8.0.2, 7.16.0.2	3B.1.2, 7B.2.3	$504$	$768$	$21$	$1$	$1$		$0$	$126$	$0.818674$	$-189613868625/128$	$1.12596$	$7.69550$	$[1, -1, 1, -9695, -364985]$	\(y^2+xy+y=x^3-x^2-9695x-364985\)	3.8.0-3.a.1.1, 7.16.0-7.a.1.1, 8.2.0.a.1, 21.128.1-21.a.4.3, 24.16.0-24.a.1.6, $\ldots$	$[ ]$	$1$
162.c2	162b3	162.c	162b	$4$	$21$	\( 2 \cdot 3^{4} \)	\( - 2^{21} \cdot 3^{4} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.8.0.1, 7.16.0.2	3B.1.1, 7B.2.3	$504$	$768$	$21$	$1$	$1$		$2$	$42$	$0.269368$	$-1159088625/2097152$	$1.11235$	$5.24467$	$[1, -1, 1, -95, -697]$	\(y^2+xy+y=x^3-x^2-95x-697\)	3.8.0-3.a.1.2, 7.16.0-7.a.1.1, 8.2.0.a.1, 21.128.1-21.a.1.2, 24.16.0-24.a.1.8, $\ldots$	$[ ]$	$1$
162.c3	162b1	162.c	162b	$4$	$21$	\( 2 \cdot 3^{4} \)	\( - 2^{3} \cdot 3^{4} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.8.0.1, 7.16.0.1	3B.1.1, 7B.2.1	$504$	$768$	$21$	$1$	$1$		$2$	$6$	$-0.703587$	$-140625/8$	$1.17810$	$3.21214$	$[1, -1, 1, -5, 5]$	\(y^2+xy+y=x^3-x^2-5x+5\)	3.8.0-3.a.1.2, 7.16.0-7.a.1.2, 8.2.0.a.1, 21.128.1-21.a.3.3, 24.16.0-24.a.1.8, $\ldots$	$[ ]$	$1$
162.c4	162b2	162.c	162b	$4$	$21$	\( 2 \cdot 3^{4} \)	\( - 2 \cdot 3^{12} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.8.0.2, 7.16.0.1	3B.1.2, 7B.2.1	$504$	$768$	$21$	$1$	$1$		$0$	$18$	$-0.154281$	$3375/2$	$1.42657$	$4.18813$	$[1, -1, 1, 25, 1]$	\(y^2+xy+y=x^3-x^2+25x+1\)	3.8.0-3.a.1.1, 7.16.0-7.a.1.2, 8.2.0.a.1, 21.128.1-21.a.2.3, 24.16.0-24.a.1.6, $\ldots$	$[ ]$	$1$
338.c1	338a2	338.c	338a	$2$	$7$	\( 2 \cdot 13^{2} \)	\( - 2^{14} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$364$	$768$	$21$	$1.188700458$	$1$		$4$	$84$	$0.196927$	$-38575685889/16384$	$1.08547$	$5.06720$	$[1, -1, 0, -389, -2859]$	\(y^2+xy=x^3-x^2-389x-2859\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.1, 52.16.0-4.b.1.1, 91.48.0.?, $\ldots$	$[(26, 51)]$	$1$
338.c2	338a1	338.c	338a	$2$	$7$	\( 2 \cdot 13^{2} \)	\( - 2^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$364$	$768$	$21$	$0.169814351$	$1$		$6$	$12$	$-0.776028$	$351/4$	$1.27279$	$2.39029$	$[1, -1, 0, 1, 1]$	\(y^2+xy=x^3-x^2+x+1\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 52.16.0-4.b.1.1, 91.48.0.?, $\ldots$	$[(0, 1)]$	$1$
338.e1	338b2	338.e	338b	$2$	$7$	\( 2 \cdot 13^{2} \)	\( - 2^{14} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.16.0.2, 7.16.0.2	7B.2.3	$364$	$768$	$21$	$1$	$1$		$0$	$1092$	$1.479403$	$-38575685889/16384$	$1.08547$	$7.71009$	$[1, -1, 1, -65773, -6478507]$	\(y^2+xy+y=x^3-x^2-65773x-6478507\)	4.16.0-4.b.1.1, 7.16.0-7.a.1.1, 28.256.5-28.b.1.2, 91.48.0.?, 364.768.21.?	$[ ]$	$1$
338.e2	338b1	338.e	338b	$2$	$7$	\( 2 \cdot 13^{2} \)	\( - 2^{2} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.16.0.2, 7.16.0.1	7B.2.1	$364$	$768$	$21$	$1$	$1$		$0$	$156$	$0.506447$	$351/4$	$1.27279$	$5.03319$	$[1, -1, 1, 137, 2643]$	\(y^2+xy+y=x^3-x^2+137x+2643\)	4.16.0-4.b.1.1, 7.16.0-7.a.1.2, 28.256.5-28.b.2.2, 91.48.0.?, 364.768.21.?	$[ ]$	$1$
507.b1	507b2	507.b	507b	$2$	$7$	\( 3 \cdot 13^{2} \)	\( - 3^{14} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.2.0.1, 7.8.0.1	7B	$2184$	$192$	$6$	$0.890582876$	$1$		$4$	$168$	$0.390368$	$-276301129/4782969$	$1.06787$	$4.49515$	$[1, 1, 1, -75, -1422]$	\(y^2+xy+y=x^3+x^2-75x-1422\)	4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 91.48.0.?, 168.32.0.?, $\ldots$	$[(106, 1040)]$	$1$
507.b2	507b1	507.b	507b	$2$	$7$	\( 3 \cdot 13^{2} \)	\( - 3^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.2.0.1, 7.8.0.1	7B	$2184$	$192$	$6$	$0.127226125$	$1$		$8$	$24$	$-0.582586$	$-658489/9$	$0.91436$	$2.97839$	$[1, 1, 1, -10, 8]$	\(y^2+xy+y=x^3+x^2-10x+8\)	4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 91.48.0.?, 168.32.0.?, $\ldots$	$[(2, 0)]$	$1$
507.c1	507a2	507.c	507a	$2$	$7$	\( 3 \cdot 13^{2} \)	\( - 3^{14} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.2.0.1, 7.16.0.2	7B.2.3	$2184$	$192$	$6$	$1.810964640$	$1$		$0$	$2184$	$1.672844$	$-276301129/4782969$	$1.06787$	$6.96599$	$[1, 1, 0, -12678, -3060351]$	\(y^2+xy=x^3+x^2-12678x-3060351\)	4.2.0.a.1, 7.16.0-7.a.1.1, 24.4.0-4.a.1.1, 28.32.0-28.a.1.4, 91.48.0.?, $\ldots$	$[(6144/5, 354243/5)]$	$1$
507.c2	507a1	507.c	507a	$2$	$7$	\( 3 \cdot 13^{2} \)	\( - 3^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.2.0.1, 7.16.0.1	7B.2.1	$2184$	$192$	$6$	$0.258709234$	$1$		$4$	$312$	$0.699888$	$-658489/9$	$0.91436$	$5.44924$	$[1, 1, 0, -1693, 26434]$	\(y^2+xy=x^3+x^2-1693x+26434\)	4.2.0.a.1, 7.16.0-7.a.1.2, 24.4.0-4.a.1.1, 28.32.0-28.a.1.2, 91.48.0.?, $\ldots$	$[(70, 472)]$	$1$
1296.f1	1296k3	1296.f	1296k	$4$	$21$	\( 2^{4} \cdot 3^{4} \)	\( - 2^{19} \cdot 3^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.4.0.1, 7.8.0.1	3B, 7B	$504$	$768$	$21$	$3.080173468$	$1$		$2$	$1008$	$0.962515$	$-189613868625/128$	$1.12596$	$5.70357$	$[0, 0, 0, -17235, -870894]$	\(y^2=x^3-17235x-870894\)	3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.1, 21.64.1.a.4, $\ldots$	$[(217, 2368)]$	$1$
1296.f2	1296k4	1296.f	1296k	$4$	$21$	\( 2^{4} \cdot 3^{4} \)	\( - 2^{33} \cdot 3^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.4.0.1, 7.8.0.1	3B, 7B	$504$	$768$	$21$	$1.026724489$	$1$		$4$	$3024$	$1.511822$	$-1159088625/2097152$	$1.11235$	$5.80326$	$[0, 0, 0, -13635, -1244862]$	\(y^2=x^3-13635x-1244862\)	3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.2, 21.64.1.a.1, $\ldots$	$[(1761, 73728)]$	$1$
1296.f3	1296k2	1296.f	1296k	$4$	$21$	\( 2^{4} \cdot 3^{4} \)	\( - 2^{15} \cdot 3^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.4.0.1, 7.8.0.1	3B, 7B	$504$	$768$	$21$	$0.146674927$	$1$		$8$	$432$	$0.538866$	$-140625/8$	$1.17810$	$4.36045$	$[0, 0, 0, -675, 7074]$	\(y^2=x^3-675x+7074\)	3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.2, 21.64.1.a.3, $\ldots$	$[(33, 144)]$	$1$
1296.f4	1296k1	1296.f	1296k	$4$	$21$	\( 2^{4} \cdot 3^{4} \)	\( - 2^{13} \cdot 3^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.4.0.1, 7.8.0.1	3B, 7B	$504$	$768$	$21$	$0.440024781$	$1$		$4$	$144$	$-0.010440$	$3375/2$	$1.42657$	$3.21382$	$[0, 0, 0, 45, 18]$	\(y^2=x^3+45x+18\)	3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.1, 21.64.1.a.2, $\ldots$	$[(1, 8)]$	$1$
1296.g1	1296e4	1296.g	1296e	$4$	$21$	\( 2^{4} \cdot 3^{4} \)	\( - 2^{19} \cdot 3^{12} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.4.0.1, 7.8.0.1	3B, 7B	$504$	$768$	$21$	$1$	$1$		$0$	$3024$	$1.511822$	$-189613868625/128$	$1.12596$	$6.62329$	$[0, 0, 0, -155115, 23514138]$	\(y^2=x^3-155115x+23514138\)	3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.2, 21.64.1.a.4, $\ldots$	$[ ]$	$1$
1296.g2	1296e3	1296.g	1296e	$4$	$21$	\( 2^{4} \cdot 3^{4} \)	\( - 2^{33} \cdot 3^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.4.0.1, 7.8.0.1	3B, 7B	$504$	$768$	$21$	$1$	$1$		$0$	$1008$	$0.962515$	$-1159088625/2097152$	$1.11235$	$4.88354$	$[0, 0, 0, -1515, 46106]$	\(y^2=x^3-1515x+46106\)	3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.1, 21.64.1.a.1, $\ldots$	$[ ]$	$1$
1296.g3	1296e1	1296.g	1296e	$4$	$21$	\( 2^{4} \cdot 3^{4} \)	\( - 2^{15} \cdot 3^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.4.0.1, 7.8.0.1	3B, 7B	$504$	$768$	$21$	$1$	$1$		$0$	$144$	$-0.010440$	$-140625/8$	$1.17810$	$3.44073$	$[0, 0, 0, -75, -262]$	\(y^2=x^3-75x-262\)	3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.1, 21.64.1.a.3, $\ldots$	$[ ]$	$1$
1296.g4	1296e2	1296.g	1296e	$4$	$21$	\( 2^{4} \cdot 3^{4} \)	\( - 2^{13} \cdot 3^{12} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 7$	8.2.0.1, 3.4.0.1, 7.8.0.1	3B, 7B	$504$	$768$	$21$	$1$	$1$		$0$	$432$	$0.538866$	$3375/2$	$1.42657$	$4.13354$	$[0, 0, 0, 405, -486]$	\(y^2=x^3+405x-486\)	3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.2, 21.64.1.a.2, $\ldots$	$[ ]$	$1$
1369.b1	1369c2	1369.b	1369c	$2$	$7$	\( 37^{2} \)	\( - 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 7$	4.2.0.1, 7.8.0.1	7B	$2072$	$192$	$6$	$4.587943375$	$1$		$2$	$252$	$0.261696$	$-371323264041$	$1.11663$	$4.68886$	$[1, -1, 1, -1663, -25680]$	\(y^2+xy+y=x^3-x^2-1663x-25680\)	4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 56.32.0.b.1, 259.48.0.?, $\ldots$	$[(75, 479)]$	$1$
1369.b2	1369c1	1369.b	1369c	$2$	$7$	\( 37^{2} \)	\( - 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 7$	4.2.0.1, 7.8.0.1	7B	$2072$	$192$	$6$	$0.655420482$	$1$		$2$	$36$	$-0.711259$	$999$	$0.76978$	$1.95637$	$[1, -1, 1, 2, -2]$	\(y^2+xy+y=x^3-x^2+2x-2\)	4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 56.32.0.b.2, 259.48.0.?, $\ldots$	$[(1, 0)]$	$1$
1369.d1	1369b2	1369.d	1369b	$2$	$7$	\( 37^{2} \)	\( - 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 7$	8.4.0.2, 7.16.0.2	7B.2.3	$2072$	$192$	$6$	$54.78414847$	$1$		$0$	$9324$	$2.067154$	$-371323264041$	$1.11663$	$7.68886$	$[1, -1, 0, -2276219, -1321241558]$	\(y^2+xy=x^3-x^2-2276219x-1321241558\)	4.2.0.a.1, 7.16.0-7.a.1.1, 8.4.0-4.a.1.1, 28.32.0-28.a.1.4, 56.64.0-56.b.1.3, $\ldots$	$[(421055215896628564251093/15118249772, 90485547485451381407629665671951171/15118249772)]$	$1$
1369.d2	1369b1	1369.d	1369b	$2$	$7$	\( 37^{2} \)	\( - 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 7$	8.4.0.2, 7.16.0.1	7B.2.1	$2072$	$192$	$6$	$7.826306925$	$1$		$0$	$1332$	$1.094200$	$999$	$0.76978$	$4.95637$	$[1, -1, 0, 3166, -59359]$	\(y^2+xy=x^3-x^2+3166x-59359\)	4.2.0.a.1, 7.16.0-7.a.1.2, 8.4.0-4.a.1.1, 28.32.0-28.a.1.2, 56.64.0-56.b.2.3, $\ldots$	$[(1981/4, 91377/4)]$	$1$
1521.a1	1521e2	1521.a	1521e	$2$	$7$	\( 3^{2} \cdot 13^{2} \)	\( - 3^{20} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.4.0.2, 7.8.0.1	7B	$2184$	$192$	$6$	$1$	$1$		$0$	$17472$	$2.222149$	$-276301129/4782969$	$1.06787$	$6.82116$	$[1, -1, 1, -114107, 82515372]$	\(y^2+xy+y=x^3-x^2-114107x+82515372\)	4.2.0.a.1, 7.8.0.a.1, 8.4.0-4.a.1.1, 21.16.0-7.a.1.1, 28.16.0.a.1, $\ldots$	$[ ]$	$1$
1521.a2	1521e1	1521.a	1521e	$2$	$7$	\( 3^{2} \cdot 13^{2} \)	\( - 3^{8} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.4.0.2, 7.8.0.1	7B	$2184$	$192$	$6$	$1$	$1$		$0$	$2496$	$1.249193$	$-658489/9$	$0.91436$	$5.53182$	$[1, -1, 1, -15242, -728958]$	\(y^2+xy+y=x^3-x^2-15242x-728958\)	4.2.0.a.1, 7.8.0.a.1, 8.4.0-4.a.1.1, 21.16.0-7.a.1.2, 28.16.0.a.1, $\ldots$	$[ ]$	$1$
1521.d1	1521c2	1521.d	1521c	$2$	$7$	\( 3^{2} \cdot 13^{2} \)	\( - 3^{20} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.2.0.1, 7.8.0.1	7B	$2184$	$192$	$6$	$1$	$1$		$0$	$1344$	$0.939674$	$-276301129/4782969$	$1.06787$	$4.72078$	$[1, -1, 0, -675, 37714]$	\(y^2+xy=x^3-x^2-675x+37714\)	4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 91.24.0.?, 104.4.0.?, $\ldots$	$[ ]$	$1$
1521.d2	1521c1	1521.d	1521c	$2$	$7$	\( 3^{2} \cdot 13^{2} \)	\( - 3^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.2.0.1, 7.8.0.1	7B	$2184$	$192$	$6$	$1$	$1$		$0$	$192$	$-0.033281$	$-658489/9$	$0.91436$	$3.43144$	$[1, -1, 0, -90, -311]$	\(y^2+xy=x^3-x^2-90x-311\)	4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 91.24.0.?, 104.4.0.?, $\ldots$	$[ ]$	$1$
1922.c1	1922e2	1922.c	1922e	$2$	$7$	\( 2 \cdot 31^{2} \)	\( 2^{2} \cdot 31^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	2.2.0.1, 7.8.0.1	2Cn, 7B	$1736$	$576$	$16$	$0.815886613$	$1$		$0$	$5880$	$1.052927$	$51181724570498001/4$	$1.10803$	$5.99675$	$[1, -1, 1, -76332, 8136267]$	\(y^2+xy+y=x^3-x^2-76332x+8136267\)	2.2.0.a.1, 7.8.0.a.1, 14.48.0.b.1, 56.96.2.a.1, 62.6.0.a.1, $\ldots$	$[(639/2, -641/2)]$	$1$
1922.c2	1922e1	1922.c	1922e	$2$	$7$	\( 2 \cdot 31^{2} \)	\( 2^{14} \cdot 31^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	2.2.0.1, 7.8.0.1	2Cn, 7B	$1736$	$576$	$16$	$0.116555230$	$1$		$10$	$840$	$0.079973$	$42396561/16384$	$1.03599$	$3.23108$	$[1, -1, 1, -72, -117]$	\(y^2+xy+y=x^3-x^2-72x-117\)	2.2.0.a.1, 7.8.0.a.1, 14.48.0.b.2, 56.96.2.a.2, 62.6.0.a.1, $\ldots$	$[(-3, 9)]$	$1$
1922.e1	1922c2	1922.e	1922c	$2$	$7$	\( 2 \cdot 31^{2} \)	\( 2^{2} \cdot 31^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.4.0.1, 7.16.0.2	2Cn, 7B.2.3	$1736$	$576$	$16$	$1$	$49$	$7$	$0$	$182280$	$2.769920$	$51181724570498001/4$	$1.10803$	$8.72173$	$[1, -1, 1, -73354752, -241800700097]$	\(y^2+xy+y=x^3-x^2-73354752x-241800700097\)	2.2.0.a.1, 7.16.0-7.a.1.1, 8.4.0-2.a.1.1, 14.96.0-14.b.1.1, 56.192.2-56.a.1.3, $\ldots$	$[ ]$	$1$
1922.e2	1922c1	1922.e	1922c	$2$	$7$	\( 2 \cdot 31^{2} \)	\( 2^{14} \cdot 31^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.4.0.1, 7.16.0.1	2Cn, 7B.2.1	$1736$	$576$	$16$	$1$	$1$		$0$	$26040$	$1.796967$	$42396561/16384$	$1.03599$	$5.95606$	$[1, -1, 1, -68892, 4028767]$	\(y^2+xy+y=x^3-x^2-68892x+4028767\)	2.2.0.a.1, 7.16.0-7.a.1.2, 8.4.0-2.a.1.1, 14.96.0-14.b.2.1, 56.192.2-56.a.2.1, $\ldots$	$[ ]$	$1$
2450.h1	2450d1	2450.h	2450d	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \)	\( 2^{7} \cdot 5^{2} \cdot 7^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.56.1.2	7Ns.3.1	$280$	$224$	$5$	$1$	$1$		$0$	$3528$	$1.048868$	$2268945/128$	$1.21697$	$4.78134$	$[1, -1, 0, -5252, 140496]$	\(y^2+xy=x^3-x^2-5252x+140496\)	7.56.1.b.1, 8.2.0.b.1, 35.112.1-7.b.1.1, 56.112.5.t.1, 280.224.5.?	$[ ]$	$1$
2450.i1	2450a1	2450.i	2450a	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \)	\( 2^{7} \cdot 5^{2} \cdot 7^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.56.1.2	7Ns.3.1	$280$	$224$	$5$	$0.514615865$	$1$		$4$	$504$	$0.075913$	$2268945/128$	$1.21697$	$3.28522$	$[1, -1, 0, -107, -379]$	\(y^2+xy=x^3-x^2-107x-379\)	7.56.1.b.1, 8.2.0.b.1, 35.112.1-7.b.1.1, 56.112.5.t.1, 280.224.5.?	$[(-5, 6)]$	$1$
2450.y1	2450ba1	2450.y	2450ba	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \)	\( 2^{7} \cdot 5^{8} \cdot 7^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.112.1.2	7Ns.2.1	$56$	$224$	$5$	$0.313488421$	$1$		$6$	$2520$	$0.880632$	$2268945/128$	$1.21697$	$4.52264$	$[1, -1, 1, -2680, -50053]$	\(y^2+xy+y=x^3-x^2-2680x-50053\)	7.112.1-7.b.1.1, 8.2.0.b.1, 56.224.5-56.t.1.4	$[(-31, 65)]$	$1$
2450.z1	2450bd1	2450.z	2450bd	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \)	\( 2^{7} \cdot 5^{8} \cdot 7^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.2.0.2, 7.112.1.2	7Ns.2.1	$56$	$224$	$5$	$1$	$1$		$0$	$17640$	$1.853586$	$2268945/128$	$1.21697$	$6.01876$	$[1, -1, 1, -131305, 17430697]$	\(y^2+xy+y=x^3-x^2-131305x+17430697\)	7.112.1-7.b.1.1, 8.2.0.b.1, 56.224.5-56.t.1.4	$[ ]$	$1$
2704.h1	2704e2	2704.h	2704e	$2$	$7$	\( 2^{4} \cdot 13^{2} \)	\( - 2^{26} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.16.0.2, 7.8.0.1	7B	$364$	$768$	$21$	$1$	$1$		$0$	$26208$	$2.172550$	$-38575685889/16384$	$1.08547$	$6.73383$	$[0, 0, 0, -1052363, 415676794]$	\(y^2=x^3-1052363x+415676794\)	4.16.0-4.b.1.1, 7.8.0.a.1, 14.16.0-7.a.1.1, 28.256.5-28.b.1.3, 91.24.0.?, $\ldots$	$[ ]$	$1$
2704.h2	2704e1	2704.h	2704e	$2$	$7$	\( 2^{4} \cdot 13^{2} \)	\( - 2^{14} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.16.0.2, 7.8.0.1	7B	$364$	$768$	$21$	$1$	$1$		$0$	$3744$	$1.199594$	$351/4$	$1.27279$	$4.76132$	$[0, 0, 0, 2197, -171366]$	\(y^2=x^3+2197x-171366\)	4.16.0-4.b.1.1, 7.8.0.a.1, 14.16.0-7.a.1.2, 28.256.5-28.b.2.3, 91.24.0.?, $\ldots$	$[ ]$	$1$
2704.i1	2704d2	2704.i	2704d	$2$	$7$	\( 2^{4} \cdot 13^{2} \)	\( - 2^{26} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$364$	$768$	$21$	$1$	$1$		$0$	$2016$	$0.890075$	$-38575685889/16384$	$1.08547$	$4.78638$	$[0, 0, 0, -6227, 189202]$	\(y^2=x^3-6227x+189202\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.1, 52.16.0-4.b.1.1, 91.24.0.?, $\ldots$	$[ ]$	$1$
2704.i2	2704d1	2704.i	2704d	$2$	$7$	\( 2^{4} \cdot 13^{2} \)	\( - 2^{14} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$364$	$768$	$21$	$1$	$1$		$0$	$288$	$-0.082881$	$351/4$	$1.27279$	$2.81387$	$[0, 0, 0, 13, -78]$	\(y^2=x^3+13x-78\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 52.16.0-4.b.1.1, 91.24.0.?, $\ldots$	$[ ]$	$1$
3042.e1	3042b2	3042.e	3042b	$2$	$7$	\( 2 \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1092$	$768$	$21$	$1$	$1$		$0$	$34944$	$2.028709$	$-38575685889/16384$	$1.08547$	$6.41972$	$[1, -1, 0, -591954, 175511636]$	\(y^2+xy=x^3-x^2-591954x+175511636\)	4.8.0.b.1, 7.8.0.a.1, 12.16.0-4.b.1.1, 21.16.0-7.a.1.1, 28.128.5.b.1, $\ldots$	$[ ]$	$1$
3042.e2	3042b1	3042.e	3042b	$2$	$7$	\( 2 \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1092$	$768$	$21$	$1$	$1$		$0$	$4992$	$1.055754$	$351/4$	$1.27279$	$4.47618$	$[1, -1, 0, 1236, -72604]$	\(y^2+xy=x^3-x^2+1236x-72604\)	4.8.0.b.1, 7.8.0.a.1, 12.16.0-4.b.1.1, 21.16.0-7.a.1.2, 28.128.5.b.2, $\ldots$	$[ ]$	$1$
3042.k1	3042l2	3042.k	3042l	$2$	$7$	\( 2 \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1092$	$768$	$21$	$0.107569973$	$1$		$10$	$2688$	$0.746233$	$-38575685889/16384$	$1.08547$	$4.50087$	$[1, -1, 1, -3503, 80695]$	\(y^2+xy+y=x^3-x^2-3503x+80695\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.1, 91.24.0.?, 156.16.0.?, $\ldots$	$[(19, 134)]$	$1$
3042.k2	3042l1	3042.k	3042l	$2$	$7$	\( 2 \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1092$	$768$	$21$	$0.752989816$	$1$		$2$	$384$	$-0.226722$	$351/4$	$1.27279$	$2.55733$	$[1, -1, 1, 7, -35]$	\(y^2+xy+y=x^3-x^2+7x-35\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 156.16.0.?, $\ldots$	$[(7, 14)]$	$1$
3969.a1	3969f2	3969.a	3969f	$2$	$7$	\( 3^{4} \cdot 7^{2} \)	\( 3^{10} \cdot 7^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 7$	2.2.0.1, 7.8.0.1	2Cn, 7B	$252$	$576$	$16$	$1.918158305$	$1$		$0$	$3780$	$0.974169$	$1168429123449$	$1.04816$	$5.14883$	$[1, -1, 1, -31268, -2120282]$	\(y^2+xy+y=x^3-x^2-31268x-2120282\)	2.2.0.a.1, 7.8.0.a.1, 14.48.0.a.1, 21.16.0-7.a.1.2, 28.96.2.e.1, $\ldots$	$[(-2546/5, 6307/5)]$	$1$
3969.a2	3969f1	3969.a	3969f	$2$	$7$	\( 3^{4} \cdot 7^{2} \)	\( 3^{10} \cdot 7^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 7$	2.2.0.1, 7.8.0.1	2Cn, 7B	$252$	$576$	$16$	$0.274022615$	$1$		$6$	$540$	$0.001213$	$21609$	$1.02581$	$3.00000$	$[1, -1, 1, -83, 298]$	\(y^2+xy+y=x^3-x^2-83x+298\)	2.2.0.a.1, 7.8.0.a.1, 14.48.0.a.1, 21.16.0-7.a.1.1, 28.96.2.e.2, $\ldots$	$[(4, 2)]$	$1$

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