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	Manin constant
170.d1	170e1	170.d	170e	$1$	$1$	\( 2 \cdot 5 \cdot 17 \)	\( - 2 \cdot 5 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$680$	$2$	$0$	$1$	$1$		$0$	$20$	$-0.669967$	$-116930169/170$	$0.88233$	$3.61766$	$[1, -1, 0, -10, -10]$	\(y^2+xy=x^3-x^2-10x-10\)	680.2.0.?	$[ ]$	$1$
850.f1	850j1	850.f	850j	$1$	$1$	\( 2 \cdot 5^{2} \cdot 17 \)	\( - 2 \cdot 5^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$480$	$0.134752$	$-116930169/170$	$0.88233$	$4.18610$	$[1, -1, 1, -255, -1503]$	\(y^2+xy+y=x^3-x^2-255x-1503\)	680.2.0.?	$[ ]$	$1$
1360.a1	1360h1	1360.a	1360h	$1$	$1$	\( 2^{4} \cdot 5 \cdot 17 \)	\( - 2^{13} \cdot 5 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$0.138169166$	$1$		$8$	$480$	$0.023181$	$-116930169/170$	$0.88233$	$3.72785$	$[0, 0, 0, -163, 802]$	\(y^2=x^3-163x+802\)	680.2.0.?	$[(9, 8)]$	$1$
1530.o1	1530n1	1530.o	1530n	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17 \)	\( - 2 \cdot 3^{6} \cdot 5 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$280$	$-0.120660$	$-116930169/170$	$0.88233$	$3.43259$	$[1, -1, 1, -92, 361]$	\(y^2+xy+y=x^3-x^2-92x+361\)	680.2.0.?	$[ ]$	$1$
2890.b1	2890l1	2890.b	2890l	$1$	$1$	\( 2 \cdot 5 \cdot 17^{2} \)	\( - 2 \cdot 5 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$5760$	$0.746640$	$-116930169/170$	$0.88233$	$4.46465$	$[1, -1, 0, -2944, -60830]$	\(y^2+xy=x^3-x^2-2944x-60830\)	680.2.0.?	$[ ]$	$1$
5440.b1	5440p1	5440.b	5440p	$1$	$1$	\( 2^{6} \cdot 5 \cdot 17 \)	\( - 2^{19} \cdot 5 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1.548281081$	$1$		$4$	$3840$	$0.369754$	$-116930169/170$	$0.88233$	$3.61055$	$[0, 0, 0, -652, -6416]$	\(y^2=x^3-652x-6416\)	680.2.0.?	$[(30, 32)]$	$1$
5440.y1	5440z1	5440.y	5440z	$1$	$1$	\( 2^{6} \cdot 5 \cdot 17 \)	\( - 2^{19} \cdot 5 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$3840$	$0.369754$	$-116930169/170$	$0.88233$	$3.61055$	$[0, 0, 0, -652, 6416]$	\(y^2=x^3-652x+6416\)	680.2.0.?	$[ ]$	$1$
6800.z1	6800o1	6800.z	6800o	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 17 \)	\( - 2^{13} \cdot 5^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$11520$	$0.827900$	$-116930169/170$	$0.88233$	$4.14225$	$[0, 0, 0, -4075, 100250]$	\(y^2=x^3-4075x+100250\)	680.2.0.?	$[ ]$	$1$
7650.l1	7650w1	7650.l	7650w	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \)	\( - 2 \cdot 3^{6} \cdot 5^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$0.531754438$	$1$		$4$	$6720$	$0.684058$	$-116930169/170$	$0.88233$	$3.89467$	$[1, -1, 0, -2292, 42866]$	\(y^2+xy=x^3-x^2-2292x+42866\)	680.2.0.?	$[(29, -2)]$	$1$
8330.a1	8330l1	8330.a	8330l	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2 \cdot 5 \cdot 7^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$0.422904012$	$1$		$4$	$7200$	$0.302989$	$-116930169/170$	$0.88233$	$3.35139$	$[1, -1, 0, -499, 4423]$	\(y^2+xy=x^3-x^2-499x+4423\)	680.2.0.?	$[(9, 20)]$	$1$
12240.bh1	12240by1	12240.bh	12240by	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \)	\( - 2^{13} \cdot 3^{6} \cdot 5 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$6720$	$0.572487$	$-116930169/170$	$0.88233$	$3.55795$	$[0, 0, 0, -1467, -21654]$	\(y^2=x^3-1467x-21654\)	680.2.0.?	$[ ]$	$1$
14450.bk1	14450z1	14450.bk	14450z	$1$	$1$	\( 2 \cdot 5^{2} \cdot 17^{2} \)	\( - 2 \cdot 5^{7} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$4$	$2$	$0$	$138240$	$1.551359$	$-116930169/170$	$0.88233$	$4.72263$	$[1, -1, 1, -73605, -7677353]$	\(y^2+xy+y=x^3-x^2-73605x-7677353\)	680.2.0.?	$[ ]$	$1$
20570.p1	20570k1	20570.p	20570k	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2 \cdot 5 \cdot 11^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$3.491345994$	$1$		$0$	$25600$	$0.528981$	$-116930169/170$	$0.88233$	$3.31941$	$[1, -1, 1, -1233, 16987]$	\(y^2+xy+y=x^3-x^2-1233x+16987\)	680.2.0.?	$[(691/6, 239/6)]$	$1$
23120.bp1	23120bm1	23120.bp	23120bm	$1$	$1$	\( 2^{4} \cdot 5 \cdot 17^{2} \)	\( - 2^{13} \cdot 5 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1.788802708$	$1$		$0$	$138240$	$1.439787$	$-116930169/170$	$0.88233$	$4.36850$	$[0, 0, 0, -47107, 3940226]$	\(y^2=x^3-47107x+3940226\)	680.2.0.?	$[(1105/3, 2312/3)]$	$1$
26010.ba1	26010bj1	26010.ba	26010bj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2 \cdot 3^{6} \cdot 5 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1.996458554$	$1$		$0$	$80640$	$1.295946$	$-116930169/170$	$0.88233$	$4.14810$	$[1, -1, 1, -26498, 1668907]$	\(y^2+xy+y=x^3-x^2-26498x+1668907\)	680.2.0.?	$[(443/2, 1865/2)]$	$1$
27200.f1	27200cg1	27200.f	27200cg	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 17 \)	\( - 2^{19} \cdot 5^{7} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$0.375931153$	$1$		$18$	$92160$	$1.174473$	$-116930169/170$	$0.88233$	$3.98717$	$[0, 0, 0, -16300, 802000]$	\(y^2=x^3-16300x+802000\)	680.2.0.?	$[(10, 800), (74, 32)]$	$1$
27200.cs1	27200p1	27200.cs	27200p	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 17 \)	\( - 2^{19} \cdot 5^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$5.543993465$	$1$		$0$	$92160$	$1.174473$	$-116930169/170$	$0.88233$	$3.98717$	$[0, 0, 0, -16300, -802000]$	\(y^2=x^3-16300x-802000\)	680.2.0.?	$[(3160/3, 163700/3)]$	$1$
28730.bf1	28730be1	28730.bf	28730be	$1$	$1$	\( 2 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 5 \cdot 13^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$25$	$5$	$0$	$44880$	$0.612508$	$-116930169/170$	$0.88233$	$3.30901$	$[1, -1, 1, -1722, -27101]$	\(y^2+xy+y=x^3-x^2-1722x-27101\)	680.2.0.?	$[ ]$	$1$
41650.cn1	41650cg1	41650.cn	41650cg	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2 \cdot 5^{7} \cdot 7^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$172800$	$1.107708$	$-116930169/170$	$0.88233$	$3.75214$	$[1, -1, 1, -12480, 540397]$	\(y^2+xy+y=x^3-x^2-12480x+540397\)	680.2.0.?	$[ ]$	$1$
48960.bb1	48960eg1	48960.bb	48960eg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \)	\( - 2^{19} \cdot 3^{6} \cdot 5 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$5.359230842$	$1$		$2$	$53760$	$0.919061$	$-116930169/170$	$0.88233$	$3.48632$	$[0, 0, 0, -5868, -173232]$	\(y^2=x^3-5868x-173232\)	680.2.0.?	$[(1978, 87904)]$	$1$
48960.cg1	48960bk1	48960.cg	48960bk	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \)	\( - 2^{19} \cdot 3^{6} \cdot 5 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$53760$	$0.919061$	$-116930169/170$	$0.88233$	$3.48632$	$[0, 0, 0, -5868, 173232]$	\(y^2=x^3-5868x+173232\)	680.2.0.?	$[ ]$	$1$
61200.fl1	61200fp1	61200.fl	61200fp	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{6} \cdot 5^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$161280$	$1.377205$	$-116930169/170$	$0.88233$	$3.91454$	$[0, 0, 0, -36675, -2706750]$	\(y^2=x^3-36675x-2706750\)	680.2.0.?	$[ ]$	$1$
61370.m1	61370t1	61370.m	61370t	$1$	$1$	\( 2 \cdot 5 \cdot 17 \cdot 19^{2} \)	\( - 2 \cdot 5 \cdot 17 \cdot 19^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$140760$	$0.802253$	$-116930169/170$	$0.88233$	$3.28774$	$[1, -1, 1, -3678, 86871]$	\(y^2+xy+y=x^3-x^2-3678x+86871\)	680.2.0.?	$[ ]$	$1$
66640.cr1	66640ch1	66640.cr	66640ch	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 5 \cdot 7^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$4$	$2$	$0$	$172800$	$0.996136$	$-116930169/170$	$0.88233$	$3.47282$	$[0, 0, 0, -7987, -275086]$	\(y^2=x^3-7987x-275086\)	680.2.0.?	$[ ]$	$1$
74970.cu1	74970cz1	74970.cu	74970cz	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2 \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$18.39869839$	$1$		$0$	$100800$	$0.852295$	$-116930169/170$	$0.88233$	$3.28261$	$[1, -1, 1, -4493, -114929]$	\(y^2+xy+y=x^3-x^2-4493x-114929\)	680.2.0.?	$[(458056517/2428, -219977177023/2428)]$	$1$
89930.v1	89930r1	89930.v	89930r	$1$	$1$	\( 2 \cdot 5 \cdot 17 \cdot 23^{2} \)	\( - 2 \cdot 5 \cdot 17 \cdot 23^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$4.051064956$	$1$		$0$	$237600$	$0.897780$	$-116930169/170$	$0.88233$	$3.27810$	$[1, -1, 0, -5389, 153815]$	\(y^2+xy=x^3-x^2-5389x+153815\)	680.2.0.?	$[(1411/3, 45758/3)]$	$1$
92480.e1	92480do1	92480.e	92480do	$1$	$1$	\( 2^{6} \cdot 5 \cdot 17^{2} \)	\( - 2^{19} \cdot 5 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$1105920$	$1.786362$	$-116930169/170$	$0.88233$	$4.20259$	$[0, 0, 0, -188428, 31521808]$	\(y^2=x^3-188428x+31521808\)	680.2.0.?	$[ ]$	$1$
92480.eh1	92480bf1	92480.eh	92480bf	$1$	$1$	\( 2^{6} \cdot 5 \cdot 17^{2} \)	\( - 2^{19} \cdot 5 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$11.58178293$	$1$		$0$	$1105920$	$1.786362$	$-116930169/170$	$0.88233$	$4.20259$	$[0, 0, 0, -188428, -31521808]$	\(y^2=x^3-188428x-31521808\)	680.2.0.?	$[(998878/9, 997690400/9)]$	$1$
102850.b1	102850bc1	102850.b	102850bc	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2 \cdot 5^{7} \cdot 11^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$0.954972194$	$1$		$4$	$614400$	$1.333700$	$-116930169/170$	$0.88233$	$3.69322$	$[1, -1, 0, -30817, 2092591]$	\(y^2+xy=x^3-x^2-30817x+2092591\)	680.2.0.?	$[(179, 1423)]$	$1$
115600.b1	115600ce1	115600.b	115600ce	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{13} \cdot 5^{7} \cdot 17^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$0.674200581$	$1$		$14$	$3317760$	$2.244507$	$-116930169/170$	$0.88233$	$4.59374$	$[0, 0, 0, -1177675, 492528250]$	\(y^2=x^3-1177675x+492528250\)	680.2.0.?	$[(255, 14450), (935, 14450)]$	$1$
130050.cp1	130050fr1	130050.cp	130050fr	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( - 2 \cdot 3^{6} \cdot 5^{7} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$1935360$	$2.100666$	$-116930169/170$	$0.88233$	$4.40121$	$[1, -1, 0, -662442, 207950966]$	\(y^2+xy=x^3-x^2-662442x+207950966\)	680.2.0.?	$[ ]$	$1$
141610.bn1	141610cz1	141610.bn	141610cz	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2 \cdot 5 \cdot 7^{6} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$2073600$	$1.719595$	$-116930169/170$	$0.88233$	$3.98407$	$[1, -1, 0, -144265, 21153215]$	\(y^2+xy=x^3-x^2-144265x+21153215\)	680.2.0.?	$[ ]$	$1$
142970.o1	142970b1	142970.o	142970b	$1$	$1$	\( 2 \cdot 5 \cdot 17 \cdot 29^{2} \)	\( - 2 \cdot 5 \cdot 17 \cdot 29^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$9$	$3$	$0$	$458640$	$1.013681$	$-116930169/170$	$0.88233$	$3.26724$	$[1, -1, 1, -8568, -303483]$	\(y^2+xy+y=x^3-x^2-8568x-303483\)	680.2.0.?	$[ ]$	$1$
143650.a1	143650be1	143650.a	143650be	$1$	$1$	\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 5^{7} \cdot 13^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$5.294233837$	$1$		$0$	$1077120$	$1.417227$	$-116930169/170$	$0.88233$	$3.67372$	$[1, -1, 0, -43042, -3430634]$	\(y^2+xy=x^3-x^2-43042x-3430634\)	680.2.0.?	$[(1011/2, 9689/2)]$	$1$
163370.a1	163370k1	163370.a	163370k	$1$	$1$	\( 2 \cdot 5 \cdot 17 \cdot 31^{2} \)	\( - 2 \cdot 5 \cdot 17 \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$609000$	$1.047028$	$-116930169/170$	$0.88233$	$3.26427$	$[1, -1, 0, -9790, 375766]$	\(y^2+xy=x^3-x^2-9790x+375766\)	680.2.0.?	$[ ]$	$1$
164560.e1	164560e1	164560.e	164560e	$1$	$1$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{13} \cdot 5 \cdot 11^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$5.427932200$	$1$		$0$	$614400$	$1.222128$	$-116930169/170$	$0.88233$	$3.43723$	$[0, 0, 0, -19723, -1067462]$	\(y^2=x^3-19723x-1067462\)	680.2.0.?	$[(4279/3, 265958/3)]$	$1$
185130.bt1	185130da1	185130.bt	185130da	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2 \cdot 3^{6} \cdot 5 \cdot 11^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$12.13025096$	$1$		$0$	$358400$	$1.078287$	$-116930169/170$	$0.88233$	$3.26154$	$[1, -1, 0, -11094, -447562]$	\(y^2+xy=x^3-x^2-11094x-447562\)	680.2.0.?	$[(1469381/97, 1086891180/97)]$	$1$
208080.db1	208080cv1	208080.db	208080cv	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{13} \cdot 3^{6} \cdot 5 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$11.20970530$	$1$		$0$	$1935360$	$1.989094$	$-116930169/170$	$0.88233$	$4.12295$	$[0, 0, 0, -423963, -106386102]$	\(y^2=x^3-423963x-106386102\)	680.2.0.?	$[(3410047/67, 946989998/67)]$	$1$
229840.c1	229840a1	229840.c	229840a	$1$	$1$	\( 2^{4} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{13} \cdot 5 \cdot 13^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$1077120$	$1.305655$	$-116930169/170$	$0.88233$	$3.42540$	$[0, 0, 0, -27547, 1761994]$	\(y^2=x^3-27547x+1761994\)	680.2.0.?	$[ ]$	$1$
232730.x1	232730x1	232730.x	232730x	$1$	$1$	\( 2 \cdot 5 \cdot 17 \cdot 37^{2} \)	\( - 2 \cdot 5 \cdot 17 \cdot 37^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$61.38861675$	$1$		$0$	$993600$	$1.135492$	$-116930169/170$	$0.88233$	$3.25670$	$[1, -1, 1, -13947, -631259]$	\(y^2+xy+y=x^3-x^2-13947x-631259\)	680.2.0.?	$[(16940729239338617795008002229/63984277860, 2204404813940698703405947122486636395090263/63984277860)]$	$1$
244800.ea1	244800ea1	244800.ea	244800ea	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \)	\( - 2^{19} \cdot 3^{6} \cdot 5^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1.034605158$	$1$		$4$	$1290240$	$1.723780$	$-116930169/170$	$0.88233$	$3.81236$	$[0, 0, 0, -146700, 21654000]$	\(y^2=x^3-146700x+21654000\)	680.2.0.?	$[(190, 800)]$	$1$
244800.pe1	244800pe1	244800.pe	244800pe	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \)	\( - 2^{19} \cdot 3^{6} \cdot 5^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$9$	$3$	$0$	$1290240$	$1.723780$	$-116930169/170$	$0.88233$	$3.81236$	$[0, 0, 0, -146700, -21654000]$	\(y^2=x^3-146700x-21654000\)	680.2.0.?	$[ ]$	$1$
258570.i1	258570i1	258570.i	258570i	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{6} \cdot 5 \cdot 13^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$628320$	$1.161814$	$-116930169/170$	$0.88233$	$3.25453$	$[1, -1, 0, -15495, 747215]$	\(y^2+xy=x^3-x^2-15495x+747215\)	680.2.0.?	$[ ]$	$1$
266560.b1	266560b1	266560.b	266560b	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{19} \cdot 5 \cdot 7^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$3.151587628$	$1$		$2$	$1382400$	$1.342709$	$-116930169/170$	$0.88233$	$3.42035$	$[0, 0, 0, -31948, -2200688]$	\(y^2=x^3-31948x-2200688\)	680.2.0.?	$[(224, 1372)]$	$1$
266560.hi1	266560hi1	266560.hi	266560hi	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{19} \cdot 5 \cdot 7^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$1382400$	$1.342709$	$-116930169/170$	$0.88233$	$3.42035$	$[0, 0, 0, -31948, 2200688]$	\(y^2=x^3-31948x+2200688\)	680.2.0.?	$[ ]$	$1$
285770.a1	285770a1	285770.a	285770a	$1$	$1$	\( 2 \cdot 5 \cdot 17 \cdot 41^{2} \)	\( - 2 \cdot 5 \cdot 17 \cdot 41^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$5.457852810$	$1$		$2$	$1382400$	$1.186819$	$-116930169/170$	$0.88233$	$3.25250$	$[1, -1, 0, -17125, -859385]$	\(y^2+xy=x^3-x^2-17125x-859385\)	680.2.0.?	$[(9543, 927343)]$	$1$
306850.by1	306850by1	306850.by	306850by	$1$	$1$	\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \)	\( - 2 \cdot 5^{7} \cdot 17 \cdot 19^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$3378240$	$1.606972$	$-116930169/170$	$0.88233$	$3.63325$	$[1, -1, 0, -91942, 10766966]$	\(y^2+xy=x^3-x^2-91942x+10766966\)	680.2.0.?	$[ ]$	$1$
314330.m1	314330m1	314330.m	314330m	$1$	$1$	\( 2 \cdot 5 \cdot 17 \cdot 43^{2} \)	\( - 2 \cdot 5 \cdot 17 \cdot 43^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1.916762359$	$1$		$0$	$1596000$	$1.210634$	$-116930169/170$	$0.88233$	$3.25060$	$[1, -1, 1, -18837, 1001031]$	\(y^2+xy+y=x^3-x^2-18837x+1001031\)	680.2.0.?	$[(431/2, 3263/2)]$	$1$
333200.i1	333200i1	333200.i	333200i	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 5^{7} \cdot 7^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$4147200$	$1.800854$	$-116930169/170$	$0.88233$	$3.79267$	$[0, 0, 0, -199675, -34385750]$	\(y^2=x^3-199675x-34385750\)	680.2.0.?	$[ ]$	$1$
349690.bi1	349690bi1	349690.bi	349690bi	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 17^{2} \)	\( - 2 \cdot 5 \cdot 11^{6} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$7372800$	$1.945587$	$-116930169/170$	$0.88233$	$3.91438$	$[1, -1, 1, -356247, 82033449]$	\(y^2+xy+y=x^3-x^2-356247x+82033449\)	680.2.0.?	$[ ]$	$1$

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