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 3984 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
26.b1	26b2	26.b	26b	$2$	$7$	\( 2 \cdot 13 \)	\( - 2 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$728$	$96$	$2$	$1$	$1$		$0$	$14$	$0.289794$	$-1064019559329/125497034$	$1.06269$	$8.55670$	$1$	$[1, -1, 1, -213, -1257]$	\(y^2+xy+y=x^3-x^2-213x-1257\)	7.48.0-7.a.2.2, 104.2.0.?, 728.96.2.?	$[ ]$	$1$
26.b2	26b1	26.b	26b	$2$	$7$	\( 2 \cdot 13 \)	\( - 2^{7} \cdot 13 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$728$	$96$	$2$	$1$	$1$		$6$	$2$	$-0.683161$	$-2146689/1664$	$0.96784$	$4.73570$	$1$	$[1, -1, 1, -3, 3]$	\(y^2+xy+y=x^3-x^2-3x+3\)	7.48.0-7.a.1.2, 104.2.0.?, 728.96.2.?	$[ ]$	$1$
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	$504$	$768$	$21$	$1$	$1$		$2$	$42$	$0.269368$	$-189613868625/128$	$1.12596$	$6.39987$	$1$	$[1, -1, 0, -1077, 13877]$	\(y^2+xy=x^3-x^2-1077x+13877\)	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	$504$	$768$	$21$	$1$	$1$		$0$	$126$	$0.818674$	$-1159088625/2097152$	$1.11235$	$6.54031$	$1$	$[1, -1, 0, -852, 19664]$	\(y^2+xy=x^3-x^2-852x+19664\)	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	$504$	$768$	$21$	$1$	$1$		$0$	$18$	$-0.154281$	$-140625/8$	$1.17810$	$4.50778$	$1$	$[1, -1, 0, -42, -100]$	\(y^2+xy=x^3-x^2-42x-100\)	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	$504$	$768$	$21$	$1$	$1$		$2$	$6$	$-0.703587$	$3375/2$	$1.42657$	$2.89249$	$1$	$[1, -1, 0, 3, -1]$	\(y^2+xy=x^3-x^2+3x-1\)	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	$504$	$768$	$21$	$1$	$1$		$0$	$126$	$0.818674$	$-189613868625/128$	$1.12596$	$7.69550$	$1$	$[1, -1, 1, -9695, -364985]$	\(y^2+xy+y=x^3-x^2-9695x-364985\)	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	$504$	$768$	$21$	$1$	$1$		$2$	$42$	$0.269368$	$-1159088625/2097152$	$1.11235$	$5.24467$	$1$	$[1, -1, 1, -95, -697]$	\(y^2+xy+y=x^3-x^2-95x-697\)	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	$504$	$768$	$21$	$1$	$1$		$2$	$6$	$-0.703587$	$-140625/8$	$1.17810$	$3.21214$	$1$	$[1, -1, 1, -5, 5]$	\(y^2+xy+y=x^3-x^2-5x+5\)	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	$504$	$768$	$21$	$1$	$1$		$0$	$18$	$-0.154281$	$3375/2$	$1.42657$	$4.18813$	$1$	$[1, -1, 1, 25, 1]$	\(y^2+xy+y=x^3-x^2+25x+1\)	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, $\ldots$	$[ ]$	$1$
174.e1	174b2	174.e	174b	$2$	$7$	\( 2 \cdot 3 \cdot 29 \)	\( - 2 \cdot 3 \cdot 29^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$4872$	$96$	$2$	$1$	$1$		$0$	$196$	$0.977647$	$-30526075007211889/103499257854$	$1.03180$	$7.35856$	$1$	$[1, 0, 0, -6511, -203353]$	\(y^2+xy=x^3-6511x-203353\)	7.48.0-7.a.2.2, 696.2.0.?, 4872.96.2.?	$[ ]$	$1$
174.e2	174b1	174.e	174b	$2$	$7$	\( 2 \cdot 3 \cdot 29 \)	\( - 2^{7} \cdot 3^{7} \cdot 29 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$4872$	$96$	$2$	$1$	$1$		$6$	$28$	$0.004691$	$-117649/8118144$	$1.24364$	$4.52880$	$1$	$[1, 0, 0, -1, 137]$	\(y^2+xy=x^3-x+137\)	7.48.0-7.a.1.2, 696.2.0.?, 4872.96.2.?	$[ ]$	$1$
208.d1	208d2	208.d	208d	$2$	$7$	\( 2^{4} \cdot 13 \)	\( - 2^{13} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$1$	$1$		$0$	$336$	$0.982942$	$-1064019559329/125497034$	$1.06269$	$6.78147$	$1$	$[0, 0, 0, -3403, 83834]$	\(y^2=x^3-3403x+83834\)	7.24.0.a.2, 28.48.0-7.a.2.1, 104.2.0.?, 728.96.2.?	$[ ]$	$1$
208.d2	208d1	208.d	208d	$2$	$7$	\( 2^{4} \cdot 13 \)	\( - 2^{19} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$728$	$96$	$2$	$1$	$1$		$0$	$48$	$0.009987$	$-2146689/1664$	$0.96784$	$4.44908$	$1$	$[0, 0, 0, -43, -166]$	\(y^2=x^3-43x-166\)	7.24.0.a.1, 28.48.0-7.a.1.1, 104.2.0.?, 728.96.2.?	$[ ]$	$1$
234.b1	234a2	234.b	234a	$2$	$7$	\( 2 \cdot 3^{2} \cdot 13 \)	\( - 2 \cdot 3^{6} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$2184$	$96$	$2$	$1$	$1$		$0$	$196$	$0.839101$	$-1064019559329/125497034$	$1.06269$	$6.31865$	$1$	$[1, -1, 0, -1914, 35846]$	\(y^2+xy=x^3-x^2-1914x+35846\)	7.24.0.a.2, 21.48.0-7.a.2.2, 104.2.0.?, 728.48.2.?, 2184.96.2.?	$[ ]$	$1$
234.b2	234a1	234.b	234a	$2$	$7$	\( 2 \cdot 3^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{6} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$2184$	$96$	$2$	$1$	$1$		$0$	$28$	$-0.133854$	$-2146689/1664$	$0.96784$	$4.03661$	$1$	$[1, -1, 0, -24, -64]$	\(y^2+xy=x^3-x^2-24x-64\)	7.24.0.a.1, 21.48.0-7.a.1.2, 104.2.0.?, 728.48.2.?, 2184.96.2.?	$[ ]$	$1$
258.f1	258f2	258.f	258f	$2$	$7$	\( 2 \cdot 3 \cdot 43 \)	\( - 2^{2} \cdot 3 \cdot 43^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$3612$	$96$	$2$	$1$	$1$		$0$	$1176$	$1.418922$	$-23769846831649063249/3261823333284$	$1.04406$	$8.03449$	$1$	$[1, 0, 0, -59901, -5648523]$	\(y^2+xy=x^3-59901x-5648523\)	7.48.0-7.a.2.2, 516.2.0.?, 3612.96.2.?	$[ ]$	$1$
258.f2	258f1	258.f	258f	$2$	$7$	\( 2 \cdot 3 \cdot 43 \)	\( - 2^{14} \cdot 3^{7} \cdot 43 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$3612$	$96$	$2$	$1$	$1$		$6$	$168$	$0.445967$	$444369620591/1540767744$	$0.99664$	$5.11937$	$1$	$[1, 0, 0, 159, 1737]$	\(y^2+xy=x^3+159x+1737\)	7.48.0-7.a.1.2, 516.2.0.?, 3612.96.2.?	$[ ]$	$1$
294.e1	294a2	294.e	294a	$2$	$7$	\( 2 \cdot 3 \cdot 7^{2} \)	\( - 2^{7} \cdot 3^{7} \cdot 7^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.4	7B.1.6	$168$	$96$	$2$	$1$	$1$		$0$	$588$	$1.107431$	$-6329617441/279936$	$1.03234$	$6.72278$	$1$	$[1, 1, 1, -6910, -232261]$	\(y^2+xy+y=x^3+x^2-6910x-232261\)	7.48.0-7.a.1.1, 24.2.0.b.1, 168.96.2.?	$[ ]$	$1$
294.e2	294a1	294.e	294a	$2$	$7$	\( 2 \cdot 3 \cdot 7^{2} \)	\( - 2 \cdot 3 \cdot 7^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.2	7B.1.4	$168$	$96$	$2$	$1$	$1$		$0$	$84$	$0.134477$	$-2401/6$	$1.11692$	$4.40252$	$1$	$[1, 1, 1, -50, 293]$	\(y^2+xy+y=x^3+x^2-50x+293\)	7.48.0-7.a.2.1, 24.2.0.b.1, 168.96.2.?	$[ ]$	$1$
294.f1	294b2	294.f	294b	$2$	$7$	\( 2 \cdot 3 \cdot 7^{2} \)	\( - 2^{7} \cdot 3^{7} \cdot 7^{2} \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.1	7B.1.1	$168$	$96$	$2$	$1$	$1$		$6$	$84$	$0.134477$	$-6329617441/279936$	$1.03234$	$4.66853$	$1$	$[1, 0, 0, -141, 657]$	\(y^2+xy=x^3-141x+657\)	7.48.0-7.a.1.2, 24.2.0.b.1, 168.96.2.?	$[ ]$	$1$
294.f2	294b1	294.f	294b	$2$	$7$	\( 2 \cdot 3 \cdot 7^{2} \)	\( - 2 \cdot 3 \cdot 7^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.5	7B.1.3	$168$	$96$	$2$	$1$	$1$		$0$	$12$	$-0.838478$	$-2401/6$	$1.11692$	$2.34827$	$1$	$[1, 0, 0, -1, -1]$	\(y^2+xy=x^3-x-1\)	7.48.0-7.a.2.2, 24.2.0.b.1, 168.96.2.?	$[ ]$	$1$
338.a1	338f2	338.a	338f	$2$	$7$	\( 2 \cdot 13^{2} \)	\( - 2 \cdot 13^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$1.383448027$	$1$		$0$	$2352$	$1.572269$	$-1064019559329/125497034$	$1.06269$	$7.43052$	$1$	$[1, -1, 0, -35944, -2868878]$	\(y^2+xy=x^3-x^2-35944x-2868878\)	7.24.0.a.2, 56.48.0-7.a.2.6, 91.48.0.?, 104.2.0.?, 728.96.2.?	$[(3613/3, 180227/3)]$	$1$
338.a2	338f1	338.a	338f	$2$	$7$	\( 2 \cdot 13^{2} \)	\( - 2^{7} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$728$	$96$	$2$	$0.197635432$	$1$		$6$	$336$	$0.599314$	$-2146689/1664$	$0.96784$	$5.29260$	$1$	$[1, -1, 0, -454, 5812]$	\(y^2+xy=x^3-x^2-454x+5812\)	7.24.0.a.1, 56.48.0-7.a.1.6, 91.48.0.?, 104.2.0.?, 728.96.2.?	$[(23, 73)]$	$1$
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	$364$	$768$	$21$	$1.188700458$	$1$		$4$	$84$	$0.196927$	$-38575685889/16384$	$1.08547$	$5.06720$	$1$	$[1, -1, 0, -389, -2859]$	\(y^2+xy=x^3-x^2-389x-2859\)	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	$364$	$768$	$21$	$0.169814351$	$1$		$6$	$12$	$-0.776028$	$351/4$	$1.27279$	$2.39029$	$1$	$[1, -1, 0, 1, 1]$	\(y^2+xy=x^3-x^2+x+1\)	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	$364$	$768$	$21$	$1$	$1$		$0$	$1092$	$1.479403$	$-38575685889/16384$	$1.08547$	$7.71009$	$1$	$[1, -1, 1, -65773, -6478507]$	\(y^2+xy+y=x^3-x^2-65773x-6478507\)	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	$364$	$768$	$21$	$1$	$1$		$0$	$156$	$0.506447$	$351/4$	$1.27279$	$5.03319$	$1$	$[1, -1, 1, 137, 2643]$	\(y^2+xy+y=x^3-x^2+137x+2643\)	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.?	$[ ]$	$1$
405.b1	405d2	405.b	405d	$2$	$7$	\( 3^{4} \cdot 5 \)	\( - 3^{10} \cdot 5^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$1260$	$96$	$2$	$0.043718464$	$1$		$12$	$252$	$0.701672$	$-15590912409/78125$	$1.00703$	$5.74040$	$1$	$[1, -1, 1, -2027, 35776]$	\(y^2+xy+y=x^3-x^2-2027x+35776\)	7.8.0.a.1, 20.2.0.a.1, 21.16.0-7.a.1.1, 63.48.0-63.b.1.3, 140.16.0.?, $\ldots$	$[(76, 524)]$	$1$
405.b2	405d1	405.b	405d	$2$	$7$	\( 3^{4} \cdot 5 \)	\( - 3^{10} \cdot 5 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$1260$	$96$	$2$	$0.306029253$	$1$		$8$	$36$	$-0.271284$	$-9/5$	$1.00480$	$3.33972$	$1$	$[1, -1, 1, -2, -26]$	\(y^2+xy+y=x^3-x^2-2x-26\)	7.8.0.a.1, 20.2.0.a.1, 21.16.0-7.a.1.2, 63.48.0-63.b.2.2, 140.16.0.?, $\ldots$	$[(4, 2)]$	$1$
405.e1	405c2	405.e	405c	$2$	$7$	\( 3^{4} \cdot 5 \)	\( - 3^{4} \cdot 5^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.16.0.2	7B.2.3	$1260$	$96$	$2$	$3.274202297$	$1$		$2$	$84$	$0.152365$	$-15590912409/78125$	$1.00703$	$4.64250$	$1$	$[1, -1, 0, -225, -1250]$	\(y^2+xy=x^3-x^2-225x-1250\)	7.16.0-7.a.1.1, 20.2.0.a.1, 63.48.0-63.b.1.2, 140.32.0.?, 1260.96.2.?	$[(18, 8)]$	$1$
405.e2	405c1	405.e	405c	$2$	$7$	\( 3^{4} \cdot 5 \)	\( - 3^{4} \cdot 5 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.16.0.1	7B.2.1	$1260$	$96$	$2$	$0.467743185$	$1$		$2$	$12$	$-0.820590$	$-9/5$	$1.00480$	$2.24182$	$1$	$[1, -1, 0, 0, 1]$	\(y^2+xy=x^3-x^2+1\)	7.16.0-7.a.1.2, 20.2.0.a.1, 63.48.0-63.b.2.3, 140.32.0.?, 1260.96.2.?	$[(0, 1)]$	$1$
490.e1	490k1	490.e	490k	$2$	$7$	\( 2 \cdot 5 \cdot 7^{2} \)	\( - 2^{2} \cdot 5 \cdot 7^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.5	7B.1.3	$140$	$96$	$2$	$1$	$1$		$0$	$120$	$-0.212824$	$-5154200289/20$	$1.12200$	$4.23849$	$1$	$[1, -1, 1, -132, -549]$	\(y^2+xy+y=x^3-x^2-132x-549\)	7.48.0-7.a.2.2, 20.2.0.a.1, 140.96.2.?	$[ ]$	$1$
490.e2	490k2	490.e	490k	$2$	$7$	\( 2 \cdot 5 \cdot 7^{2} \)	\( - 2^{14} \cdot 5^{7} \cdot 7^{2} \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.1	7B.1.1	$140$	$96$	$2$	$1$	$1$		$6$	$840$	$0.760131$	$1747829720511/1280000000$	$1.08633$	$5.17906$	$1$	$[1, -1, 1, 918, 5289]$	\(y^2+xy+y=x^3-x^2+918x+5289\)	7.48.0-7.a.1.2, 20.2.0.a.1, 140.96.2.?	$[ ]$	$1$
490.k1	490f1	490.k	490f	$2$	$7$	\( 2 \cdot 5 \cdot 7^{2} \)	\( - 2^{2} \cdot 5 \cdot 7^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.2	7B.1.4	$140$	$96$	$2$	$1$	$1$		$0$	$840$	$0.760131$	$-5154200289/20$	$1.12200$	$6.12333$	$1$	$[1, -1, 1, -6453, 201121]$	\(y^2+xy+y=x^3-x^2-6453x+201121\)	7.48.0-7.a.2.1, 20.2.0.a.1, 140.96.2.?	$[ ]$	$1$
490.k2	490f2	490.k	490f	$2$	$7$	\( 2 \cdot 5 \cdot 7^{2} \)	\( - 2^{14} \cdot 5^{7} \cdot 7^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.4	7B.1.6	$140$	$96$	$2$	$1$	$1$		$0$	$5880$	$1.733086$	$1747829720511/1280000000$	$1.08633$	$7.06390$	$1$	$[1, -1, 1, 44997, -1904213]$	\(y^2+xy+y=x^3-x^2+44997x-1904213\)	7.48.0-7.a.1.1, 20.2.0.a.1, 140.96.2.?	$[ ]$	$1$
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	$2184$	$192$	$6$	$0.890582876$	$1$		$4$	$168$	$0.390368$	$-276301129/4782969$	$1.06787$	$4.49515$	$1$	$[1, 1, 1, -75, -1422]$	\(y^2+xy+y=x^3+x^2-75x-1422\)	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	$2184$	$192$	$6$	$0.127226125$	$1$		$8$	$24$	$-0.582586$	$-658489/9$	$0.91436$	$2.97839$	$1$	$[1, 1, 1, -10, 8]$	\(y^2+xy+y=x^3+x^2-10x+8\)	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	$2184$	$192$	$6$	$1.810964640$	$1$		$0$	$2184$	$1.672844$	$-276301129/4782969$	$1.06787$	$6.96599$	$1$	$[1, 1, 0, -12678, -3060351]$	\(y^2+xy=x^3+x^2-12678x-3060351\)	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	$2184$	$192$	$6$	$0.258709234$	$1$		$4$	$312$	$0.699888$	$-658489/9$	$0.91436$	$5.44924$	$1$	$[1, 1, 0, -1693, 26434]$	\(y^2+xy=x^3+x^2-1693x+26434\)	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.?, $\ldots$	$[(70, 472)]$	$1$
522.d1	522d2	522.d	522d	$2$	$7$	\( 2 \cdot 3^{2} \cdot 29 \)	\( - 2 \cdot 3^{7} \cdot 29^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$4872$	$96$	$2$	$1$	$1$		$0$	$1568$	$1.526953$	$-30526075007211889/103499257854$	$1.03180$	$7.12004$	$1$	$[1, -1, 0, -58599, 5490531]$	\(y^2+xy=x^3-x^2-58599x+5490531\)	7.24.0.a.2, 21.48.0-7.a.2.2, 696.2.0.?, 1624.48.0.?, 4872.96.2.?	$[ ]$	$1$
522.d2	522d1	522.d	522d	$2$	$7$	\( 2 \cdot 3^{2} \cdot 29 \)	\( - 2^{7} \cdot 3^{13} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$4872$	$96$	$2$	$1$	$1$		$0$	$224$	$0.553998$	$-117649/8118144$	$1.24364$	$4.78709$	$1$	$[1, -1, 0, -9, -3699]$	\(y^2+xy=x^3-x^2-9x-3699\)	7.24.0.a.1, 21.48.0-7.a.1.2, 696.2.0.?, 1624.48.0.?, 4872.96.2.?	$[ ]$	$1$
546.f1	546f2	546.f	546f	$2$	$7$	\( 2 \cdot 3 \cdot 7 \cdot 13 \)	\( - 2 \cdot 3 \cdot 7 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$2184$	$96$	$2$	$1$	$49$	$7$	$0$	$8232$	$2.046547$	$-5486773802537974663600129/2635437714$	$1.05935$	$9.03821$	$1$	$[1, 0, 0, -3674496, -2711401518]$	\(y^2+xy=x^3-3674496x-2711401518\)	7.48.0-7.a.2.2, 2184.96.2.?	$[ ]$	$1$
546.f2	546f1	546.f	546f	$2$	$7$	\( 2 \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{7} \cdot 3^{7} \cdot 7^{7} \cdot 13 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$2184$	$96$	$2$	$1$	$1$		$6$	$1176$	$1.073593$	$40251338884511/2997011332224$	$1.03878$	$5.73977$	$1$	$[1, 0, 0, 714, -82908]$	\(y^2+xy=x^3+714x-82908\)	7.48.0-7.a.1.2, 2184.96.2.?	$[ ]$	$1$
574.g1	574i2	574.g	574i	$2$	$7$	\( 2 \cdot 7 \cdot 41 \)	\( 2^{3} \cdot 7 \cdot 41^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$2296$	$96$	$2$	$7.471677371$	$1$		$0$	$24696$	$2.370739$	$98191033604529537629349729/10906239337336$	$1.06843$	$9.42113$	$1$	$[1, -1, 1, -9611313, -11466507927]$	\(y^2+xy+y=x^3-x^2-9611313x-11466507927\)	7.48.0-7.a.2.2, 2296.96.2.?	$[(-402671/15, 3021062/15)]$	$1$
574.g2	574i1	574.g	574i	$2$	$7$	\( 2 \cdot 7 \cdot 41 \)	\( 2^{21} \cdot 7^{7} \cdot 41 \)	$1$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$2296$	$96$	$2$	$1.067382481$	$1$		$20$	$3528$	$1.397785$	$801581275315909089/70810888830976$	$1.01610$	$6.48950$	$1$	$[1, -1, 1, -19353, 958713]$	\(y^2+xy+y=x^3-x^2-19353x+958713\)	7.48.0-7.a.1.2, 2296.96.2.?	$[(61, 18)]$	$1$
637.c1	637a1	637.c	637a	$2$	$7$	\( 7^{2} \cdot 13 \)	\( - 7^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.3	7B.1.2	$364$	$96$	$2$	$0.685355679$	$1$		$2$	$60$	$-0.146044$	$-56723625/13$	$1.28311$	$3.97068$	$1$	$[1, -1, 0, -107, 454]$	\(y^2+xy=x^3-x^2-107x+454\)	7.48.0-7.b.1.2, 52.2.0.a.1, 364.96.2.?	$[(6, -2)]$	$1$
637.c2	637a2	637.c	637a	$2$	$7$	\( 7^{2} \cdot 13 \)	\( - 7^{4} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.6	7B.1.5	$364$	$96$	$2$	$4.797489755$	$1$		$2$	$420$	$0.826911$	$11397810375/62748517$	$1.05408$	$5.12361$	$1$	$[1, -1, 0, 628, -17823]$	\(y^2+xy=x^3-x^2+628x-17823\)	7.48.0-7.b.1.1, 52.2.0.a.1, 364.96.2.?	$[(104, 1027)]$	$1$
637.d1	637c1	637.d	637c	$2$	$7$	\( 7^{2} \cdot 13 \)	\( - 7^{10} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.6	7B.1.5	$364$	$96$	$2$	$8.826746643$	$1$		$0$	$420$	$0.826911$	$-56723625/13$	$1.28311$	$5.77893$	$1$	$[1, -1, 0, -5252, -145223]$	\(y^2+xy=x^3-x^2-5252x-145223\)	7.48.0-7.b.1.1, 52.2.0.a.1, 364.96.2.?	$[(4776/7, 158761/7)]$	$1$
637.d2	637c2	637.d	637c	$2$	$7$	\( 7^{2} \cdot 13 \)	\( - 7^{10} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.3	7B.1.2	$364$	$96$	$2$	$1.260963806$	$1$		$2$	$2940$	$1.799866$	$11397810375/62748517$	$1.05408$	$6.93186$	$1$	$[1, -1, 0, 30763, 6051758]$	\(y^2+xy=x^3-x^2+30763x+6051758\)	7.48.0-7.b.1.2, 52.2.0.a.1, 364.96.2.?	$[(-38, 2216)]$	$1$

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