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
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	$728$	$96$	$2$	$1$	$1$		$0$	$14$	$0.289794$	$-1064019559329/125497034$	$1.06269$	$8.55670$	$[1, -1, 1, -213, -1257]$	\(y^2+xy+y=x^3-x^2-213x-1257\)	7.48.0-7.a.2.2, 104.2.0.?, 728.96.2.?	$[ ]$
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	$728$	$96$	$2$	$1$	$1$		$0$	$336$	$0.982942$	$-1064019559329/125497034$	$1.06269$	$6.78147$	$[0, 0, 0, -3403, 83834]$	\(y^2=x^3-3403x+83834\)	7.24.0.a.2, 28.48.0-7.a.2.1, 104.2.0.?, 728.96.2.?	$[ ]$
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	$2184$	$96$	$2$	$1$	$1$		$0$	$196$	$0.839101$	$-1064019559329/125497034$	$1.06269$	$6.31865$	$[1, -1, 0, -1914, 35846]$	\(y^2+xy=x^3-x^2-1914x+35846\)	7.24.0.a.2, 21.48.0-7.a.2.2, 104.2.0.?, 728.48.2.?, 2184.96.2.?	$[ ]$
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	$728$	$96$	$2$	$1.383448027$	$1$		$0$	$2352$	$1.572269$	$-1064019559329/125497034$	$1.06269$	$7.43052$	$[1, -1, 0, -35944, -2868878]$	\(y^2+xy=x^3-x^2-35944x-2868878\)	7.24.0.a.2, 56.48.0-7.a.2.6, 91.48.0.?, 104.2.0.?, 728.96.2.?	$[(3613/3, 180227/3)]$
650.g1	650f2	650.g	650f	$2$	$7$	\( 2 \cdot 5^{2} \cdot 13 \)	\( - 2 \cdot 5^{6} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3640$	$96$	$2$	$1$	$1$		$0$	$1960$	$1.094513$	$-1064019559329/125497034$	$1.06269$	$5.79518$	$[1, -1, 0, -5317, -162409]$	\(y^2+xy=x^3-x^2-5317x-162409\)	7.24.0.a.2, 35.48.0-7.a.2.1, 104.2.0.?, 728.48.2.?, 3640.96.2.?	$[ ]$
832.a1	832j2	832.a	832j	$2$	$7$	\( 2^{6} \cdot 13 \)	\( - 2^{19} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$0.089317794$	$1$		$8$	$2688$	$1.329515$	$-1064019559329/125497034$	$1.06269$	$6.00182$	$[0, 0, 0, -13612, 670672]$	\(y^2=x^3-13612x+670672\)	7.24.0.a.2, 56.48.0-7.a.2.2, 104.2.0.?, 182.48.0.?, 728.96.2.?	$[(42, 416)]$
832.j1	832f2	832.j	832f	$2$	$7$	\( 2^{6} \cdot 13 \)	\( - 2^{19} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$1$	$1$		$0$	$2688$	$1.329515$	$-1064019559329/125497034$	$1.06269$	$6.00182$	$[0, 0, 0, -13612, -670672]$	\(y^2=x^3-13612x-670672\)	7.24.0.a.2, 56.48.0-7.a.2.1, 104.2.0.?, 364.48.0.?, 728.96.2.?	$[ ]$
1274.o1	1274n2	1274.o	1274n	$2$	$7$	\( 2 \cdot 7^{2} \cdot 13 \)	\( - 2 \cdot 7^{6} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.2	7B.1.4	$728$	$96$	$2$	$1$	$1$		$0$	$5292$	$1.262749$	$-1064019559329/125497034$	$1.06269$	$5.53210$	$[1, -1, 1, -10422, 451903]$	\(y^2+xy+y=x^3-x^2-10422x+451903\)	7.48.0-7.a.2.1, 104.2.0.?, 728.96.2.?	$[ ]$
1872.m1	1872n2	1872.m	1872n	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{6} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$2184$	$96$	$2$	$4.209246558$	$1$		$2$	$4704$	$1.532248$	$-1064019559329/125497034$	$1.06269$	$5.67875$	$[0, 0, 0, -30627, -2263518]$	\(y^2=x^3-30627x-2263518\)	7.24.0.a.2, 84.48.0.?, 104.2.0.?, 728.48.2.?, 2184.96.2.?	$[(217, 1144)]$
2704.n1	2704j2	2704.n	2704j	$2$	$7$	\( 2^{4} \cdot 13^{2} \)	\( - 2^{13} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$1$	$1$		$0$	$56448$	$2.265415$	$-1064019559329/125497034$	$1.06269$	$6.52782$	$[0, 0, 0, -575107, 184183298]$	\(y^2=x^3-575107x+184183298\)	7.24.0.a.2, 56.48.0-7.a.2.5, 104.2.0.?, 364.48.0.?, 728.96.2.?	$[ ]$
3042.l1	3042k2	3042.l	3042k	$2$	$7$	\( 2 \cdot 3^{2} \cdot 13^{2} \)	\( - 2 \cdot 3^{6} \cdot 13^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$2184$	$96$	$2$	$3.903989467$	$1$		$0$	$32928$	$2.121574$	$-1064019559329/125497034$	$1.06269$	$6.21674$	$[1, -1, 1, -323498, 77783203]$	\(y^2+xy+y=x^3-x^2-323498x+77783203\)	7.24.0.a.2, 104.2.0.?, 168.48.0.?, 273.48.0.?, 728.48.2.?, $\ldots$	$[(3431/10, 8150791/10)]$
3146.a1	3146i2	3146.a	3146i	$2$	$7$	\( 2 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 11^{6} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$8008$	$96$	$2$	$0.170407109$	$1$		$6$	$19600$	$1.488743$	$-1064019559329/125497034$	$1.06269$	$5.24789$	$[1, -1, 0, -25735, 1749919]$	\(y^2+xy=x^3-x^2-25735x+1749919\)	7.24.0.a.2, 77.48.0.?, 104.2.0.?, 728.48.2.?, 8008.96.2.?	$[(487, 9981)]$
5200.c1	5200bc2	5200.c	5200bc	$2$	$7$	\( 2^{4} \cdot 5^{2} \cdot 13 \)	\( - 2^{13} \cdot 5^{6} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3640$	$96$	$2$	$0.218167575$	$1$		$8$	$47040$	$1.787661$	$-1064019559329/125497034$	$1.06269$	$5.35890$	$[0, 0, 0, -85075, 10479250]$	\(y^2=x^3-85075x+10479250\)	7.24.0.a.2, 104.2.0.?, 140.48.0.?, 728.48.2.?, 3640.96.2.?	$[(209, 1352)]$
5850.bn1	5850bq2	5850.bn	5850bq	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2 \cdot 3^{6} \cdot 5^{6} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$10920$	$96$	$2$	$1$	$1$		$0$	$27440$	$1.643820$	$-1064019559329/125497034$	$1.06269$	$5.08714$	$[1, -1, 1, -47855, 4432897]$	\(y^2+xy+y=x^3-x^2-47855x+4432897\)	7.24.0.a.2, 104.2.0.?, 105.48.0.?, 728.48.2.?, 10920.96.2.?	$[ ]$
7488.v1	7488bz2	7488.v	7488bz	$2$	$7$	\( 2^{6} \cdot 3^{2} \cdot 13 \)	\( - 2^{19} \cdot 3^{6} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$2184$	$96$	$2$	$1$	$1$		$0$	$37632$	$1.878822$	$-1064019559329/125497034$	$1.06269$	$5.26248$	$[0, 0, 0, -122508, -18108144]$	\(y^2=x^3-122508x-18108144\)	7.24.0.a.2, 104.2.0.?, 168.48.0.?, 546.48.0.?, 728.48.2.?, $\ldots$	$[ ]$
7488.w1	7488x2	7488.w	7488x	$2$	$7$	\( 2^{6} \cdot 3^{2} \cdot 13 \)	\( - 2^{19} \cdot 3^{6} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$2184$	$96$	$2$	$0.387935155$	$1$		$4$	$37632$	$1.878822$	$-1064019559329/125497034$	$1.06269$	$5.26248$	$[0, 0, 0, -122508, 18108144]$	\(y^2=x^3-122508x+18108144\)	7.24.0.a.2, 104.2.0.?, 168.48.0.?, 728.48.2.?, 1092.48.0.?, $\ldots$	$[(-290, 5408)]$
7514.i1	7514i2	7514.i	7514i	$2$	$7$	\( 2 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 13^{7} \cdot 17^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$12376$	$96$	$2$	$1$	$49$	$7$	$0$	$70560$	$1.706402$	$-1064019559329/125497034$	$1.06269$	$5.02860$	$[1, -1, 1, -61467, -6420203]$	\(y^2+xy+y=x^3-x^2-61467x-6420203\)	7.24.0.a.2, 104.2.0.?, 119.48.0.?, 728.48.2.?, 12376.96.2.?	$[ ]$
8450.y1	8450t2	8450.y	8450t	$2$	$7$	\( 2 \cdot 5^{2} \cdot 13^{2} \)	\( - 2 \cdot 5^{6} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3640$	$96$	$2$	$1$	$49$	$7$	$0$	$329280$	$2.376987$	$-1064019559329/125497034$	$1.06269$	$5.85328$	$[1, -1, 1, -898605, -359508353]$	\(y^2+xy+y=x^3-x^2-898605x-359508353\)	7.24.0.a.2, 104.2.0.?, 280.48.0.?, 455.48.0.?, 728.48.2.?, $\ldots$	$[ ]$
9386.f1	9386f2	9386.f	9386f	$2$	$7$	\( 2 \cdot 13 \cdot 19^{2} \)	\( - 2 \cdot 13^{7} \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$13832$	$96$	$2$	$0.917483722$	$1$		$0$	$91728$	$1.762014$	$-1064019559329/125497034$	$1.06269$	$4.97926$	$[1, -1, 0, -76780, 9003842]$	\(y^2+xy=x^3-x^2-76780x+9003842\)	7.24.0.a.2, 104.2.0.?, 133.48.0.?, 728.48.2.?, 13832.96.2.?	$[(1147/3, 28784/3)]$
10192.a1	10192bn2	10192.a	10192bn	$2$	$7$	\( 2^{4} \cdot 7^{2} \cdot 13 \)	\( - 2^{13} \cdot 7^{6} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$1$	$1$		$0$	$127008$	$1.955896$	$-1064019559329/125497034$	$1.06269$	$5.18690$	$[0, 0, 0, -166747, -28755062]$	\(y^2=x^3-166747x-28755062\)	7.24.0.a.2, 28.48.0-7.a.2.2, 104.2.0.?, 728.96.2.?	$[ ]$
10816.c1	10816bk2	10816.c	10816bk	$2$	$7$	\( 2^{6} \cdot 13^{2} \)	\( - 2^{19} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$1$	$1$		$0$	$451584$	$2.611992$	$-1064019559329/125497034$	$1.06269$	$6.00132$	$[0, 0, 0, -2300428, 1473466384]$	\(y^2=x^3-2300428x+1473466384\)	7.24.0.a.2, 14.48.0-7.a.2.1, 104.2.0.?, 728.96.2.?	$[ ]$
10816.bm1	10816p2	10816.bm	10816p	$2$	$7$	\( 2^{6} \cdot 13^{2} \)	\( - 2^{19} \cdot 13^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$14.35077864$	$1$		$0$	$451584$	$2.611992$	$-1064019559329/125497034$	$1.06269$	$6.00132$	$[0, 0, 0, -2300428, -1473466384]$	\(y^2=x^3-2300428x-1473466384\)	7.24.0.a.2, 28.48.0-7.a.2.3, 104.2.0.?, 728.96.2.?	$[(186966286/165, 2487396474784/165)]$
11466.n1	11466w2	11466.n	11466w	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2 \cdot 3^{6} \cdot 7^{6} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$2184$	$96$	$2$	$1$	$1$		$0$	$74088$	$1.812056$	$-1064019559329/125497034$	$1.06269$	$4.93688$	$[1, -1, 0, -93795, -12107593]$	\(y^2+xy=x^3-x^2-93795x-12107593\)	7.24.0.a.2, 21.48.0-7.a.2.1, 104.2.0.?, 728.48.2.?, 2184.96.2.?	$[ ]$
13754.f1	13754j2	13754.f	13754j	$2$	$7$	\( 2 \cdot 13 \cdot 23^{2} \)	\( - 2 \cdot 13^{7} \cdot 23^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$16744$	$96$	$2$	$6.036866914$	$1$		$0$	$172480$	$1.857542$	$-1064019559329/125497034$	$1.06269$	$4.89990$	$[1, -1, 1, -112512, 15965757]$	\(y^2+xy+y=x^3-x^2-112512x+15965757\)	7.24.0.a.2, 104.2.0.?, 161.48.0.?, 728.48.2.?, 16744.96.2.?	$[(4471/6, 412853/6)]$
16562.y1	16562r2	16562.y	16562r	$2$	$7$	\( 2 \cdot 7^{2} \cdot 13^{2} \)	\( - 2 \cdot 7^{6} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$1$	$9$	$3$	$0$	$889056$	$2.545223$	$-1064019559329/125497034$	$1.06269$	$5.65563$	$[1, -1, 0, -1761265, 987547679]$	\(y^2+xy=x^3-x^2-1761265x+987547679\)	7.24.0.a.2, 56.48.0-7.a.2.8, 91.48.0.?, 104.2.0.?, 728.96.2.?	$[ ]$
20800.a1	20800r2	20800.a	20800r	$2$	$7$	\( 2^{6} \cdot 5^{2} \cdot 13 \)	\( - 2^{19} \cdot 5^{6} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3640$	$96$	$2$	$7.165071991$	$1$		$0$	$376320$	$2.134235$	$-1064019559329/125497034$	$1.06269$	$5.03000$	$[0, 0, 0, -340300, -83834000]$	\(y^2=x^3-340300x-83834000\)	7.24.0.a.2, 104.2.0.?, 280.48.0.?, 728.48.2.?, 1820.48.0.?, $\ldots$	$[(9214/3, 683488/3)]$
20800.ef1	20800cs2	20800.ef	20800cs	$2$	$7$	\( 2^{6} \cdot 5^{2} \cdot 13 \)	\( - 2^{19} \cdot 5^{6} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3640$	$96$	$2$	$1$	$9$	$3$	$0$	$376320$	$2.134235$	$-1064019559329/125497034$	$1.06269$	$5.03000$	$[0, 0, 0, -340300, 83834000]$	\(y^2=x^3-340300x+83834000\)	7.24.0.a.2, 104.2.0.?, 280.48.0.?, 728.48.2.?, 910.48.0.?, $\ldots$	$[ ]$
21866.e1	21866c2	21866.e	21866c	$2$	$7$	\( 2 \cdot 13 \cdot 29^{2} \)	\( - 2 \cdot 13^{7} \cdot 29^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$21112$	$96$	$2$	$29.18461737$	$1$		$0$	$351232$	$1.973442$	$-1064019559329/125497034$	$1.06269$	$4.81175$	$[1, -1, 0, -178870, -31902586]$	\(y^2+xy=x^3-x^2-178870x-31902586\)	7.24.0.a.2, 104.2.0.?, 203.48.0.?, 728.48.2.?, 21112.96.2.?	$[(98265967402381/395115, 611438828207680793284/395115)]$
24336.w1	24336bl2	24336.w	24336bl	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{6} \cdot 13^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$2184$	$96$	$2$	$13.84114488$	$1$		$0$	$790272$	$2.814724$	$-1064019559329/125497034$	$1.06269$	$5.76033$	$[0, 0, 0, -5175963, -4972949046]$	\(y^2=x^3-5175963x-4972949046\)	7.24.0.a.2, 104.2.0.?, 168.48.0.?, 728.48.2.?, 1092.48.0.?, $\ldots$	$[(1781735839/665, 58503611013562/665)]$
24986.i1	24986j2	24986.i	24986j	$2$	$7$	\( 2 \cdot 13 \cdot 31^{2} \)	\( - 2 \cdot 13^{7} \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$22568$	$96$	$2$	$1$	$1$		$0$	$423360$	$2.006786$	$-1064019559329/125497034$	$1.06269$	$4.78789$	$[1, -1, 1, -204393, 39074515]$	\(y^2+xy+y=x^3-x^2-204393x+39074515\)	7.24.0.a.2, 104.2.0.?, 217.48.0.?, 728.48.2.?, 22568.96.2.?	$[ ]$
25168.bm1	25168bp2	25168.bm	25168bp	$2$	$7$	\( 2^{4} \cdot 11^{2} \cdot 13 \)	\( - 2^{13} \cdot 11^{6} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$8008$	$96$	$2$	$1$	$1$		$0$	$470400$	$2.181889$	$-1064019559329/125497034$	$1.06269$	$4.99182$	$[0, 0, 0, -411763, -111583054]$	\(y^2=x^3-411763x-111583054\)	7.24.0.a.2, 104.2.0.?, 308.48.0.?, 728.48.2.?, 8008.96.2.?	$[ ]$
28314.bx1	28314cb2	28314.bx	28314cb	$2$	$7$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{6} \cdot 11^{6} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$24024$	$96$	$2$	$5.733925055$	$1$		$0$	$274400$	$2.038048$	$-1064019559329/125497034$	$1.06269$	$4.76608$	$[1, -1, 1, -231617, -47016197]$	\(y^2+xy+y=x^3-x^2-231617x-47016197\)	7.24.0.a.2, 104.2.0.?, 231.48.0.?, 728.48.2.?, 24024.96.2.?	$[(2267/2, 12733/2)]$
31850.a1	31850q2	31850.a	31850q	$2$	$7$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2 \cdot 5^{6} \cdot 7^{6} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3640$	$96$	$2$	$1$	$1$		$0$	$740880$	$2.067467$	$-1064019559329/125497034$	$1.06269$	$4.74604$	$[1, -1, 0, -260542, 56227366]$	\(y^2+xy=x^3-x^2-260542x+56227366\)	7.24.0.a.2, 35.48.0-7.a.2.2, 104.2.0.?, 728.48.2.?, 3640.96.2.?	$[ ]$
35594.a1	35594c2	35594.a	35594c	$2$	$7$	\( 2 \cdot 13 \cdot 37^{2} \)	\( - 2 \cdot 13^{7} \cdot 37^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$26936$	$96$	$2$	$1$	$1$		$0$	$723240$	$2.095253$	$-1064019559329/125497034$	$1.06269$	$4.72752$	$[1, -1, 0, -291169, -66277889]$	\(y^2+xy=x^3-x^2-291169x-66277889\)	7.24.0.a.2, 104.2.0.?, 259.48.0.?, 728.48.2.?, 26936.96.2.?	$[ ]$
40768.d1	40768bc2	40768.d	40768bc	$2$	$7$	\( 2^{6} \cdot 7^{2} \cdot 13 \)	\( - 2^{19} \cdot 7^{6} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$1$	$1$		$0$	$1016064$	$2.302471$	$-1064019559329/125497034$	$1.06269$	$4.90132$	$[0, 0, 0, -666988, 230040496]$	\(y^2=x^3-666988x+230040496\)	7.24.0.a.2, 56.48.0-7.a.2.3, 104.2.0.?, 364.48.0.?, 728.96.2.?	$[ ]$
40768.ec1	40768db2	40768.ec	40768db	$2$	$7$	\( 2^{6} \cdot 7^{2} \cdot 13 \)	\( - 2^{19} \cdot 7^{6} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$29.09374615$	$1$		$0$	$1016064$	$2.302471$	$-1064019559329/125497034$	$1.06269$	$4.90132$	$[0, 0, 0, -666988, -230040496]$	\(y^2=x^3-666988x-230040496\)	7.24.0.a.2, 56.48.0-7.a.2.4, 104.2.0.?, 182.48.0.?, 728.96.2.?	$[(40995435927034/13065, 262482738679501718048/13065)]$
40898.bd1	40898bx2	40898.bd	40898bx	$2$	$7$	\( 2 \cdot 11^{2} \cdot 13^{2} \)	\( - 2 \cdot 11^{6} \cdot 13^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$8008$	$96$	$2$	$10.29358546$	$1$		$0$	$3292800$	$2.771217$	$-1064019559329/125497034$	$1.06269$	$5.42956$	$[1, -1, 1, -4349247, 3831524337]$	\(y^2+xy+y=x^3-x^2-4349247x+3831524337\)	7.24.0.a.2, 104.2.0.?, 616.48.0.?, 728.48.2.?, 1001.48.0.?, $\ldots$	$[(3925219/42, 5243516305/42)]$
43706.x1	43706v2	43706.x	43706v	$2$	$7$	\( 2 \cdot 13 \cdot 41^{2} \)	\( - 2 \cdot 13^{7} \cdot 41^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$29848$	$96$	$2$	$11.23713050$	$1$		$0$	$987840$	$2.146580$	$-1064019559329/125497034$	$1.06269$	$4.69433$	$[1, -1, 1, -357528, -90190667]$	\(y^2+xy+y=x^3-x^2-357528x-90190667\)	7.24.0.a.2, 104.2.0.?, 287.48.0.?, 728.48.2.?, 29848.96.2.?	$[(2795851/30, 4537771859/30)]$
46800.dp1	46800dr2	46800.dp	46800dr	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{6} \cdot 5^{6} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$10920$	$96$	$2$	$1$	$1$		$0$	$658560$	$2.336967$	$-1064019559329/125497034$	$1.06269$	$4.87692$	$[0, 0, 0, -765675, -282939750]$	\(y^2=x^3-765675x-282939750\)	7.24.0.a.2, 104.2.0.?, 420.48.0.?, 728.48.2.?, 10920.96.2.?	$[ ]$
48074.c1	48074a2	48074.c	48074a	$2$	$7$	\( 2 \cdot 13 \cdot 43^{2} \)	\( - 2 \cdot 13^{7} \cdot 43^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$31304$	$96$	$2$	$1$	$9$	$3$	$0$	$1123668$	$2.170395$	$-1064019559329/125497034$	$1.06269$	$4.67935$	$[1, -1, 0, -393259, 104245031]$	\(y^2+xy=x^3-x^2-393259x+104245031\)	7.24.0.a.2, 104.2.0.?, 301.48.0.?, 728.48.2.?, 31304.96.2.?	$[ ]$
57434.e1	57434h2	57434.e	57434h	$2$	$7$	\( 2 \cdot 13 \cdot 47^{2} \)	\( - 2 \cdot 13^{7} \cdot 47^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$34216$	$96$	$2$	$1$	$1$		$0$	$1374940$	$2.214867$	$-1064019559329/125497034$	$1.06269$	$4.65209$	$[1, -1, 1, -469827, 136115853]$	\(y^2+xy+y=x^3-x^2-469827x+136115853\)	7.24.0.a.2, 104.2.0.?, 329.48.0.?, 728.48.2.?, 34216.96.2.?	$[ ]$
60112.a1	60112w2	60112.a	60112w	$2$	$7$	\( 2^{4} \cdot 13 \cdot 17^{2} \)	\( - 2^{13} \cdot 13^{7} \cdot 17^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$12376$	$96$	$2$	$1$	$1$		$0$	$1693440$	$2.399548$	$-1064019559329/125497034$	$1.06269$	$4.83422$	$[0, 0, 0, -983467, 411876442]$	\(y^2=x^3-983467x+411876442\)	7.24.0.a.2, 104.2.0.?, 476.48.0.?, 728.48.2.?, 12376.96.2.?	$[ ]$
67600.d1	67600cl2	67600.d	67600cl	$2$	$7$	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{13} \cdot 5^{6} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3640$	$96$	$2$	$1$	$1$		$0$	$7902720$	$3.070137$	$-1064019559329/125497034$	$1.06269$	$5.50676$	$[0, 0, 0, -14377675, 23022912250]$	\(y^2=x^3-14377675x+23022912250\)	7.24.0.a.2, 104.2.0.?, 280.48.0.?, 728.48.2.?, 1820.48.0.?, $\ldots$	$[ ]$
67626.f1	67626h2	67626.f	67626h	$2$	$7$	\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{6} \cdot 13^{7} \cdot 17^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$37128$	$96$	$2$	$1$	$1$		$0$	$987840$	$2.255707$	$-1064019559329/125497034$	$1.06269$	$4.62783$	$[1, -1, 0, -553200, 173898674]$	\(y^2+xy=x^3-x^2-553200x+173898674\)	7.24.0.a.2, 104.2.0.?, 357.48.0.?, 728.48.2.?, 37128.96.2.?	$[ ]$
73034.h1	73034d2	73034.h	73034d	$2$	$7$	\( 2 \cdot 13 \cdot 53^{2} \)	\( - 2 \cdot 13^{7} \cdot 53^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$38584$	$96$	$2$	$54.68138223$	$1$		$0$	$2018016$	$2.274940$	$-1064019559329/125497034$	$1.06269$	$4.61664$	$[1, -1, 0, -597439, -194865553]$	\(y^2+xy=x^3-x^2-597439x-194865553\)	7.24.0.a.2, 104.2.0.?, 371.48.0.?, 728.48.2.?, 38584.96.2.?	$[(29466290518543507946937811/20408438190, 159640337609479012301729891588796126671/20408438190)]$
75088.b1	75088bj2	75088.b	75088bj	$2$	$7$	\( 2^{4} \cdot 13 \cdot 19^{2} \)	\( - 2^{13} \cdot 13^{7} \cdot 19^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$13832$	$96$	$2$	$1.621369155$	$1$		$14$	$2201472$	$2.455162$	$-1064019559329/125497034$	$1.06269$	$4.79788$	$[0, 0, 0, -1228483, -575017406]$	\(y^2=x^3-1228483x-575017406\)	7.24.0.a.2, 104.2.0.?, 532.48.0.?, 728.48.2.?, 13832.96.2.?	$[(1577, 37544), (1369, 17576)]$
76050.bx1	76050bd2	76050.bx	76050bd	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 2 \cdot 3^{6} \cdot 5^{6} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$10920$	$96$	$2$	$1$	$1$		$0$	$4609920$	$2.926292$	$-1064019559329/125497034$	$1.06269$	$5.29547$	$[1, -1, 0, -8087442, 9714812966]$	\(y^2+xy=x^3-x^2-8087442x+9714812966\)	7.24.0.a.2, 104.2.0.?, 728.48.2.?, 840.48.0.?, 1365.48.0.?, $\ldots$	$[ ]$
78650.dj1	78650bz2	78650.dj	78650bz	$2$	$7$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 5^{6} \cdot 11^{6} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$40040$	$96$	$2$	$39.18212830$	$1$		$0$	$2744000$	$2.293461$	$-1064019559329/125497034$	$1.06269$	$4.60602$	$[1, -1, 1, -643380, 218096497]$	\(y^2+xy+y=x^3-x^2-643380x+218096497\)	7.24.0.a.2, 104.2.0.?, 385.48.0.?, 728.48.2.?, 40040.96.2.?	$[(1056621898010860603/38997966, 590274664362131041734393091/38997966)]$
84474.by1	84474ce2	84474.by	84474ce	$2$	$7$	\( 2 \cdot 3^{2} \cdot 13 \cdot 19^{2} \)	\( - 2 \cdot 3^{6} \cdot 13^{7} \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$41496$	$96$	$2$	$11.23971338$	$1$		$0$	$1284192$	$2.311321$	$-1064019559329/125497034$	$1.06269$	$4.59591$	$[1, -1, 1, -691022, -242412713]$	\(y^2+xy+y=x^3-x^2-691022x-242412713\)	7.24.0.a.2, 104.2.0.?, 399.48.0.?, 728.48.2.?, 41496.96.2.?	$[(1062125/28, 778583917/28)]$
90506.a1	90506b2	90506.a	90506b	$2$	$7$	\( 2 \cdot 13 \cdot 59^{2} \)	\( - 2 \cdot 13^{7} \cdot 59^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$42952$	$96$	$2$	$0.808633577$	$1$		$4$	$2842000$	$2.328564$	$-1064019559329/125497034$	$1.06269$	$4.58626$	$[1, -1, 0, -740365, 269212327]$	\(y^2+xy=x^3-x^2-740365x+269212327\)	7.24.0.a.2, 104.2.0.?, 413.48.0.?, 728.48.2.?, 42952.96.2.?	$[(-457, 22855)]$

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