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 20238 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
11.a1	11a2	11.a	11a	$3$	$25$	\( 11 \)	\( -11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	25.120.0.3	5B.1.2	$550$	$1200$	$37$	$1$	$1$		$0$	$5$	$0.496709$	$-52893159101157376/11$	$1.09296$	$16.05869$	$1$	$[0, -1, 1, -7820, -263580]$	\(y^2+y=x^3-x^2-7820x-263580\)	5.24.0-5.a.2.2, 22.2.0.a.1, 25.120.0-25.a.2.2, 110.48.1.?, 275.600.12.?, $\ldots$	$[ ]$	$1$
11.a2	11a1	11.a	11a	$3$	$25$	\( 11 \)	\( - 11^{5} \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.120.0.1	5Cs.1.1	$550$	$1200$	$37$	$1$	$1$		$4$	$1$	$-0.308010$	$-122023936/161051$	$1.01300$	$8.26048$	$1$	$[0, -1, 1, -10, -20]$	\(y^2+y=x^3-x^2-10x-20\)	5.120.0-5.a.1.2, 22.2.0.a.1, 110.240.5.?, 275.600.12.?, 550.1200.37.?	$[ ]$	$1$
11.a3	11a3	11.a	11a	$3$	$25$	\( 11 \)	\( -11 \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	25.120.0.1	5B.1.1	$550$	$1200$	$37$	$1$	$1$		$4$	$5$	$-1.112728$	$-4096/11$	$0.82546$	$4.19024$	$5$	$[0, -1, 1, 0, 0]$	\(y^2+y=x^3-x^2\)	5.24.0-5.a.1.2, 22.2.0.a.1, 25.120.0-25.a.1.2, 110.48.1.?, 275.600.12.?, $\ldots$	$[ ]$	$5$
38.b1	38b2	38.b	38b	$2$	$5$	\( 2 \cdot 19 \)	\( - 2 \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$760$	$48$	$1$	$1$	$1$		$0$	$10$	$0.017785$	$-37966934881/4952198$	$0.97714$	$6.75262$	$1$	$[1, 1, 1, -70, -279]$	\(y^2+xy+y=x^3+x^2-70x-279\)	5.24.0-5.a.2.2, 152.2.0.?, 760.48.1.?	$[ ]$	$1$
38.b2	38b1	38.b	38b	$2$	$5$	\( 2 \cdot 19 \)	\( - 2^{5} \cdot 19 \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$760$	$48$	$1$	$1$	$1$		$4$	$2$	$-0.786934$	$-1/608$	$1.37833$	$3.81156$	$1$	$[1, 1, 1, 0, 1]$	\(y^2+xy+y=x^3+x^2+1\)	5.24.0-5.a.1.2, 152.2.0.?, 760.48.1.?	$[ ]$	$1$
50.a1	50a2	50.a	50a	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{3} \cdot 5^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.8.0.2, 5.24.0.4	3B.1.2, 5B.1.3	$120$	$384$	$9$	$1$	$1$		$0$	$6$	$-0.176793$	$-349938025/8$	$1.05078$	$6.67457$	$1$	$[1, 0, 1, -126, -552]$	\(y^2+xy+y=x^3-126x-552\)	3.8.0-3.a.1.1, 5.24.0-5.a.2.1, 8.2.0.a.1, 15.192.1-15.a.1.1, 24.16.0-24.a.1.6, $\ldots$	$[ ]$	$1$
50.a2	50a3	50.a	50a	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{5} \cdot 5^{8} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.8.0.1, 5.24.0.2	3B.1.1, 5B.1.4	$120$	$384$	$9$	$1$	$1$		$2$	$10$	$0.078619$	$-121945/32$	$0.94334$	$6.38053$	$1$	$[1, 0, 1, -76, 298]$	\(y^2+xy+y=x^3-76x+298\)	3.8.0-3.a.1.2, 5.24.0-5.a.1.1, 8.2.0.a.1, 15.192.1-15.a.4.4, 24.16.0-24.a.1.8, $\ldots$	$[ ]$	$1$
50.a3	50a1	50.a	50a	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2 \cdot 5^{4} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.8.0.1, 5.24.0.4	3B.1.1, 5B.1.3	$120$	$384$	$9$	$1$	$1$		$2$	$2$	$-0.726100$	$-25/2$	$1.09044$	$3.73025$	$1$	$[1, 0, 1, -1, -2]$	\(y^2+xy+y=x^3-x-2\)	3.8.0-3.a.1.2, 5.24.0-5.a.2.1, 8.2.0.a.1, 15.192.1-15.a.2.3, 24.16.0-24.a.1.8, $\ldots$	$[ ]$	$1$
50.a4	50a4	50.a	50a	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{15} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.8.0.2, 5.24.0.2	3B.1.2, 5B.1.4	$120$	$384$	$9$	$1$	$1$		$0$	$30$	$0.627926$	$46969655/32768$	$1.06296$	$7.80683$	$1$	$[1, 0, 1, 549, -2202]$	\(y^2+xy+y=x^3+549x-2202\)	3.8.0-3.a.1.1, 5.24.0-5.a.1.1, 8.2.0.a.1, 15.192.1-15.a.3.2, 24.16.0-24.a.1.6, $\ldots$	$[ ]$	$1$
50.b1	50b4	50.b	50b	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{3} \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.24.0.3	3B, 5B.1.2	$120$	$384$	$9$	$1$	$1$		$0$	$30$	$0.627926$	$-349938025/8$	$1.05078$	$9.14302$	$1$	$[1, 1, 1, -3138, -68969]$	\(y^2+xy+y=x^3+x^2-3138x-68969\)	3.4.0.a.1, 5.24.0-5.a.2.2, 8.2.0.a.1, 15.192.1-15.a.1.3, 24.8.0.a.1, $\ldots$	$[ ]$	$1$
50.b2	50b3	50.b	50b	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2 \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.24.0.3	3B, 5B.1.2	$120$	$384$	$9$	$1$	$1$		$0$	$10$	$0.078619$	$-25/2$	$1.09044$	$6.19870$	$1$	$[1, 1, 1, -13, -219]$	\(y^2+xy+y=x^3+x^2-13x-219\)	3.4.0.a.1, 5.24.0-5.a.2.2, 8.2.0.a.1, 15.192.1-15.a.2.4, 24.8.0.a.1, $\ldots$	$[ ]$	$1$
50.b3	50b1	50.b	50b	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{5} \cdot 5^{2} \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.24.0.1	3B, 5B.1.1	$120$	$384$	$9$	$1$	$1$		$4$	$2$	$-0.726100$	$-121945/32$	$0.94334$	$3.91208$	$1$	$[1, 1, 1, -3, 1]$	\(y^2+xy+y=x^3+x^2-3x+1\)	3.4.0.a.1, 5.24.0-5.a.1.2, 8.2.0.a.1, 15.192.1-15.a.4.3, 24.8.0.a.1, $\ldots$	$[ ]$	$1$
50.b4	50b2	50.b	50b	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{15} \cdot 5^{2} \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.24.0.1	3B, 5B.1.1	$120$	$384$	$9$	$1$	$1$		$4$	$6$	$-0.176793$	$46969655/32768$	$1.06296$	$5.33839$	$1$	$[1, 1, 1, 22, -9]$	\(y^2+xy+y=x^3+x^2+22x-9\)	3.4.0.a.1, 5.24.0-5.a.1.2, 8.2.0.a.1, 15.192.1-15.a.3.1, 24.8.0.a.1, $\ldots$	$[ ]$	$1$
57.b1	57c2	57.b	57c	$2$	$5$	\( 3 \cdot 19 \)	\( - 3^{2} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$190$	$48$	$1$	$1$	$1$		$0$	$60$	$0.651407$	$-9358714467168256/22284891$	$1.06833$	$9.09587$	$1$	$[0, 1, 1, -4390, -113432]$	\(y^2+y=x^3+x^2-4390x-113432\)	5.24.0-5.a.2.2, 38.2.0.a.1, 190.48.1.?	$[ ]$	$1$
57.b2	57c1	57.b	57c	$2$	$5$	\( 3 \cdot 19 \)	\( - 3^{10} \cdot 19 \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$190$	$48$	$1$	$1$	$1$		$4$	$12$	$-0.153312$	$841232384/1121931$	$1.00490$	$5.14865$	$1$	$[0, 1, 1, 20, -32]$	\(y^2+y=x^3+x^2+20x-32\)	5.24.0-5.a.1.2, 38.2.0.a.1, 190.48.1.?	$[ ]$	$1$
58.b1	58b2	58.b	58b	$2$	$5$	\( 2 \cdot 29 \)	\( - 2^{2} \cdot 29^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$580$	$48$	$1$	$1$	$1$		$0$	$20$	$0.347164$	$-10418796526321/82044596$	$0.99481$	$7.38544$	$1$	$[1, 1, 1, -455, -3951]$	\(y^2+xy+y=x^3+x^2-455x-3951\)	5.24.0-5.a.2.2, 116.2.0.?, 580.48.1.?	$[ ]$	$1$
58.b2	58b1	58.b	58b	$2$	$5$	\( 2 \cdot 29 \)	\( - 2^{10} \cdot 29 \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$580$	$48$	$1$	$1$	$1$		$4$	$4$	$-0.457555$	$13651919/29696$	$1.08166$	$4.29613$	$1$	$[1, 1, 1, 5, 9]$	\(y^2+xy+y=x^3+x^2+5x+9\)	5.24.0-5.a.1.2, 116.2.0.?, 580.48.1.?	$[ ]$	$1$
66.c1	66c3	66.c	66c	$4$	$10$	\( 2 \cdot 3 \cdot 11 \)	\( 2^{2} \cdot 3 \cdot 11^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 5$	8.6.0.4, 5.24.0.3	2B, 5B.1.2	$1320$	$288$	$5$	$1$	$1$		$1$	$100$	$0.747853$	$112763292123580561/1932612$	$1.06379$	$9.37167$	$1$	$[1, 0, 0, -10065, -389499]$	\(y^2+xy=x^3-10065x-389499\)	2.3.0.a.1, 5.24.0-5.a.2.2, 8.6.0.d.1, 10.72.0-10.a.1.2, 40.144.1-40.t.1.4, $\ldots$	$[ ]$	$1$
66.c2	66c4	66.c	66c	$4$	$10$	\( 2 \cdot 3 \cdot 11 \)	\( - 2 \cdot 3^{2} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 5$	8.6.0.5, 5.24.0.3	2B, 5B.1.2	$1320$	$288$	$5$	$1$	$1$		$0$	$200$	$1.094427$	$-112427521449300721/466873642818$	$1.06387$	$9.37267$	$1$	$[1, 0, 0, -10055, -390309]$	\(y^2+xy=x^3-10055x-390309\)	2.3.0.a.1, 5.24.0-5.a.2.2, 8.6.0.a.1, 10.72.0-10.a.1.2, 40.144.1-40.c.2.13, $\ldots$	$[ ]$	$1$
66.c3	66c1	66.c	66c	$4$	$10$	\( 2 \cdot 3 \cdot 11 \)	\( 2^{10} \cdot 3^{5} \cdot 11 \)	$0$	$\Z/10\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 5$	8.6.0.4, 5.24.0.1	2B, 5B.1.1	$1320$	$288$	$5$	$1$	$1$		$9$	$20$	$-0.056866$	$10091699281/2737152$	$1.07340$	$5.49806$	$1$	$[1, 0, 0, -45, 81]$	\(y^2+xy=x^3-45x+81\)	2.3.0.a.1, 5.24.0-5.a.1.2, 8.6.0.d.1, 10.72.0-10.a.2.1, 40.144.1-40.t.2.4, $\ldots$	$[ ]$	$1$
66.c4	66c2	66.c	66c	$4$	$10$	\( 2 \cdot 3 \cdot 11 \)	\( - 2^{5} \cdot 3^{10} \cdot 11^{2} \)	$0$	$\Z/10\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 5$	8.6.0.5, 5.24.0.1	2B, 5B.1.1	$1320$	$288$	$5$	$1$	$1$		$8$	$40$	$0.289708$	$168105213359/228637728$	$1.10021$	$6.24112$	$1$	$[1, 0, 0, 115, 561]$	\(y^2+xy=x^3+115x+561\)	2.3.0.a.1, 5.24.0-5.a.1.2, 8.6.0.a.1, 10.72.0-10.a.2.1, 40.144.1-40.c.1.13, $\ldots$	$[ ]$	$1$
75.a1	75c2	75.a	75c	$2$	$5$	\( 3 \cdot 5^{2} \)	\( - 3 \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.3	5B.1.2	$30$	$48$	$1$	$1$	$1$		$0$	$30$	$0.211621$	$-102400/3$	$1.04391$	$6.41123$	$1$	$[0, 1, 1, -208, -1256]$	\(y^2+y=x^3+x^2-208x-1256\)	5.24.0-5.a.2.2, 6.2.0.a.1, 30.48.1-30.d.2.4	$[ ]$	$1$
75.a2	75c1	75.a	75c	$2$	$5$	\( 3 \cdot 5^{2} \)	\( - 3^{5} \cdot 5^{2} \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.1	5B.1.1	$30$	$48$	$1$	$1$	$1$		$4$	$6$	$-0.593099$	$20480/243$	$1.13104$	$3.73288$	$1$	$[0, 1, 1, 2, 4]$	\(y^2+y=x^3+x^2+2x+4\)	5.24.0-5.a.1.2, 6.2.0.a.1, 30.48.1-30.d.1.4	$[ ]$	$1$
75.c1	75a1	75.c	75a	$2$	$5$	\( 3 \cdot 5^{2} \)	\( - 3 \cdot 5^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.4	5B.1.3	$30$	$48$	$1$	$1$	$1$		$0$	$6$	$-0.593099$	$-102400/3$	$1.04391$	$4.17460$	$1$	$[0, -1, 1, -8, -7]$	\(y^2+y=x^3-x^2-8x-7\)	5.24.0-5.a.2.1, 6.2.0.a.1, 30.48.1-30.d.2.3	$[ ]$	$1$
75.c2	75a2	75.c	75a	$2$	$5$	\( 3 \cdot 5^{2} \)	\( - 3^{5} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.2	5B.1.4	$30$	$48$	$1$	$1$	$1$		$0$	$30$	$0.211621$	$20480/243$	$1.13104$	$5.96951$	$1$	$[0, -1, 1, 42, 443]$	\(y^2+y=x^3-x^2+42x+443\)	5.24.0-5.a.1.1, 6.2.0.a.1, 30.48.1-30.d.1.3	$[ ]$	$1$
99.d1	99d3	99.d	99d	$3$	$25$	\( 3^{2} \cdot 11 \)	\( - 3^{6} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	25.60.0.2	5B.4.2	$1650$	$1200$	$37$	$1$	$1$		$0$	$150$	$1.046015$	$-52893159101157376/11$	$1.09296$	$9.81448$	$1$	$[0, 0, 1, -70383, 7187035]$	\(y^2+y=x^3-70383x+7187035\)	5.12.0.a.2, 15.24.0-5.a.2.1, 22.2.0.a.1, 25.60.0.a.2, 75.120.0.?, $\ldots$	$[ ]$	$1$
99.d2	99d2	99.d	99d	$3$	$25$	\( 3^{2} \cdot 11 \)	\( - 3^{6} \cdot 11^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.60.0.1	5Cs.4.1	$1650$	$1200$	$37$	$1$	$1$		$0$	$30$	$0.241296$	$-122023936/161051$	$1.01300$	$5.74511$	$1$	$[0, 0, 1, -93, 625]$	\(y^2+y=x^3-93x+625\)	5.60.0.a.1, 15.120.0-5.a.1.1, 22.2.0.a.1, 110.120.5.?, 275.300.12.?, $\ldots$	$[ ]$	$1$
99.d3	99d1	99.d	99d	$3$	$25$	\( 3^{2} \cdot 11 \)	\( - 3^{6} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	25.60.0.1	5B.4.1	$1650$	$1200$	$37$	$1$	$1$		$0$	$6$	$-0.563422$	$-4096/11$	$0.82546$	$3.62111$	$1$	$[0, 0, 1, -3, -5]$	\(y^2+y=x^3-3x-5\)	5.12.0.a.1, 15.24.0-5.a.1.1, 22.2.0.a.1, 25.60.0.a.1, 75.120.0.?, $\ldots$	$[ ]$	$1$
110.b1	110a2	110.b	110a	$2$	$5$	\( 2 \cdot 5 \cdot 11 \)	\( - 2 \cdot 5 \cdot 11^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$440$	$48$	$1$	$1$	$1$		$0$	$100$	$0.645076$	$-23178622194826561/1610510$	$1.01294$	$8.01663$	$1$	$[1, 1, 1, -5940, -178685]$	\(y^2+xy+y=x^3+x^2-5940x-178685\)	5.24.0-5.a.2.2, 440.48.1.?	$[ ]$	$1$
110.b2	110a1	110.b	110a	$2$	$5$	\( 2 \cdot 5 \cdot 11 \)	\( - 2^{5} \cdot 5^{5} \cdot 11 \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$440$	$48$	$1$	$1$	$1$		$4$	$20$	$-0.159643$	$109902239/1100000$	$0.94438$	$4.53272$	$1$	$[1, 1, 1, 10, -45]$	\(y^2+xy+y=x^3+x^2+10x-45\)	5.24.0-5.a.1.2, 440.48.1.?	$[ ]$	$1$
118.c1	118b1	118.c	118b	$2$	$5$	\( 2 \cdot 59 \)	\( - 2^{10} \cdot 59 \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$590$	$48$	$1$	$1$	$1$		$4$	$12$	$-0.309706$	$-1732323601/60416$	$0.90288$	$4.47132$	$1$	$[1, 1, 1, -25, 39]$	\(y^2+xy+y=x^3+x^2-25x+39\)	5.24.0-5.a.1.2, 118.2.0.?, 590.48.1.?	$[ ]$	$1$
118.c2	118b2	118.c	118b	$2$	$5$	\( 2 \cdot 59 \)	\( - 2^{2} \cdot 59^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$590$	$48$	$1$	$1$	$1$		$0$	$60$	$0.495013$	$168105213359/2859697196$	$1.00503$	$6.11948$	$1$	$[1, 1, 1, 115, -2481]$	\(y^2+xy+y=x^3+x^2+115x-2481\)	5.24.0-5.a.2.2, 118.2.0.?, 590.48.1.?	$[ ]$	$1$
121.d1	121d3	121.d	121d	$3$	$25$	\( 11^{2} \)	\( - 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	25.60.0.2	5B.4.2	$550$	$1200$	$37$	$1$	$1$		$0$	$600$	$1.695656$	$-52893159101157376/11$	$1.09296$	$11.02934$	$1$	$[0, -1, 1, -946260, 354609639]$	\(y^2+y=x^3-x^2-946260x+354609639\)	5.12.0.a.2, 10.24.0-5.a.2.2, 22.2.0.a.1, 25.60.0.a.2, 50.120.0-25.a.2.2, $\ldots$	$[ ]$	$1$
121.d2	121d2	121.d	121d	$3$	$25$	\( 11^{2} \)	\( - 11^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.60.0.1	5Cs.4.1	$550$	$1200$	$37$	$1$	$1$		$0$	$120$	$0.890938$	$-122023936/161051$	$1.01300$	$7.13024$	$1$	$[0, -1, 1, -1250, 31239]$	\(y^2+y=x^3-x^2-1250x+31239\)	5.60.0.a.1, 10.120.0-5.a.1.1, 22.2.0.a.1, 55.120.0-5.a.1.1, 110.240.5.?, $\ldots$	$[ ]$	$1$
121.d3	121d1	121.d	121d	$3$	$25$	\( 11^{2} \)	\( - 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	25.60.0.1	5B.4.1	$550$	$1200$	$37$	$1$	$1$		$0$	$24$	$0.086219$	$-4096/11$	$0.82546$	$5.09512$	$1$	$[0, -1, 1, -40, -221]$	\(y^2+y=x^3-x^2-40x-221\)	5.12.0.a.1, 10.24.0-5.a.1.1, 22.2.0.a.1, 25.60.0.a.1, 50.120.0-25.a.1.1, $\ldots$	$[ ]$	$1$
123.a1	123a1	123.a	123a	$2$	$5$	\( 3 \cdot 41 \)	\( - 3^{5} \cdot 41 \)	$1$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$1230$	$48$	$1$	$0.840521417$	$1$		$14$	$20$	$-0.486743$	$-122023936/9963$	$0.99771$	$3.89671$	$1$	$[0, 1, 1, -10, 10]$	\(y^2+y=x^3+x^2-10x+10\)	5.24.0-5.a.1.2, 246.2.0.?, 1230.48.1.?	$[(1, 1)]$	$1$
123.a2	123a2	123.a	123a	$2$	$5$	\( 3 \cdot 41 \)	\( - 3 \cdot 41^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$1230$	$48$	$1$	$0.168104283$	$1$		$4$	$100$	$0.317976$	$841232384/347568603$	$1.09016$	$5.63565$	$1$	$[0, 1, 1, 20, -890]$	\(y^2+y=x^3+x^2+20x-890\)	5.24.0-5.a.2.2, 246.2.0.?, 1230.48.1.?	$[(16, 61)]$	$1$
150.a1	150b4	150.a	150b	$4$	$10$	\( 2 \cdot 3 \cdot 5^{2} \)	\( 2^{5} \cdot 3^{10} \cdot 5^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.24.0.2	2B, 5B.1.4	$120$	$288$	$5$	$1$	$1$		$0$	$400$	$1.270741$	$502270291349/1889568$	$1.07575$	$8.26788$	$1$	$[1, 1, 0, -20700, 1134000]$	\(y^2+xy=x^3+x^2-20700x+1134000\)	2.3.0.a.1, 5.24.0-5.a.1.1, 10.72.0-10.a.2.3, 24.6.0.j.1, 40.144.1-40.bf.1.5, $\ldots$	$[ ]$	$1$
150.a2	150b2	150.a	150b	$4$	$10$	\( 2 \cdot 3 \cdot 5^{2} \)	\( 2 \cdot 3^{2} \cdot 5^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.24.0.4	2B, 5B.1.3	$120$	$288$	$5$	$1$	$1$		$0$	$80$	$0.466022$	$131872229/18$	$1.12852$	$6.62237$	$1$	$[1, 1, 0, -1325, -19125]$	\(y^2+xy=x^3+x^2-1325x-19125\)	2.3.0.a.1, 5.24.0-5.a.2.1, 10.72.0-10.a.1.1, 24.6.0.j.1, 40.144.1-40.bf.2.9, $\ldots$	$[ ]$	$1$
150.a3	150b3	150.a	150b	$4$	$10$	\( 2 \cdot 3 \cdot 5^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.24.0.2	2B, 5B.1.4	$120$	$288$	$5$	$1$	$1$		$1$	$200$	$0.924167$	$-19465109/248832$	$1.09754$	$6.86709$	$1$	$[1, 1, 0, -700, 34000]$	\(y^2+xy=x^3+x^2-700x+34000\)	2.3.0.a.1, 5.24.0-5.a.1.1, 10.72.0-10.a.2.3, 24.6.0.j.1, 30.144.1-30.i.1.3, $\ldots$	$[ ]$	$1$
150.a4	150b1	150.a	150b	$4$	$10$	\( 2 \cdot 3 \cdot 5^{2} \)	\( - 2^{2} \cdot 3 \cdot 5^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.24.0.4	2B, 5B.1.3	$120$	$288$	$5$	$1$	$1$		$1$	$40$	$0.119448$	$-24389/12$	$1.10339$	$5.02973$	$1$	$[1, 1, 0, -75, -375]$	\(y^2+xy=x^3+x^2-75x-375\)	2.3.0.a.1, 5.24.0-5.a.2.1, 10.72.0-10.a.1.1, 24.6.0.j.1, 30.144.1-30.i.2.3, $\ldots$	$[ ]$	$1$
150.c1	150a4	150.c	150a	$4$	$10$	\( 2 \cdot 3 \cdot 5^{2} \)	\( 2^{5} \cdot 3^{10} \cdot 5^{3} \)	$0$	$\Z/10\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$120$	$288$	$5$	$1$	$1$		$8$	$80$	$0.466022$	$502270291349/1889568$	$1.07575$	$6.34066$	$1$	$[1, 0, 0, -828, 9072]$	\(y^2+xy=x^3-828x+9072\)	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 24.6.0.j.1, 40.144.1-40.bf.1.13, $\ldots$	$[ ]$	$1$
150.c2	150a2	150.c	150a	$4$	$10$	\( 2 \cdot 3 \cdot 5^{2} \)	\( 2 \cdot 3^{2} \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.24.0.3	2B, 5B.1.2	$120$	$288$	$5$	$1$	$1$		$0$	$16$	$-0.338697$	$131872229/18$	$1.12852$	$4.69514$	$1$	$[1, 0, 0, -53, -153]$	\(y^2+xy=x^3-53x-153\)	2.3.0.a.1, 5.24.0-5.a.2.2, 10.72.0-10.a.1.2, 24.6.0.j.1, 40.144.1-40.bf.2.13, $\ldots$	$[ ]$	$1$
150.c3	150a3	150.c	150a	$4$	$10$	\( 2 \cdot 3 \cdot 5^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{3} \)	$0$	$\Z/10\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$120$	$288$	$5$	$1$	$1$		$9$	$40$	$0.119448$	$-19465109/248832$	$1.09754$	$4.93986$	$1$	$[1, 0, 0, -28, 272]$	\(y^2+xy=x^3-28x+272\)	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 24.6.0.j.1, 30.144.1-30.i.1.4, $\ldots$	$[ ]$	$1$
150.c4	150a1	150.c	150a	$4$	$10$	\( 2 \cdot 3 \cdot 5^{2} \)	\( - 2^{2} \cdot 3 \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.24.0.3	2B, 5B.1.2	$120$	$288$	$5$	$1$	$1$		$1$	$8$	$-0.685271$	$-24389/12$	$1.10339$	$3.10250$	$1$	$[1, 0, 0, -3, -3]$	\(y^2+xy=x^3-3x-3\)	2.3.0.a.1, 5.24.0-5.a.2.2, 10.72.0-10.a.1.2, 24.6.0.j.1, 30.144.1-30.i.2.4, $\ldots$	$[ ]$	$1$
155.a1	155a2	155.a	155a	$2$	$5$	\( 5 \cdot 31 \)	\( - 5 \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$310$	$48$	$1$	$0.302977456$	$1$		$6$	$100$	$0.448537$	$-65626385453056/143145755$	$0.97061$	$6.30896$	$1$	$[0, -1, 1, -840, -9114]$	\(y^2+y=x^3-x^2-840x-9114\)	5.24.0-5.a.2.2, 310.48.1.?	$[(67, 480)]$	$1$
155.a2	155a1	155.a	155a	$2$	$5$	\( 5 \cdot 31 \)	\( - 5^{5} \cdot 31 \)	$1$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$310$	$48$	$1$	$1.514887282$	$1$		$10$	$20$	$-0.356182$	$99897344/96875$	$0.86229$	$3.65221$	$1$	$[0, -1, 1, 10, 6]$	\(y^2+y=x^3-x^2+10x+6\)	5.24.0-5.a.1.2, 310.48.1.?	$[(2, 5)]$	$1$
158.d1	158c2	158.d	158c	$2$	$5$	\( 2 \cdot 79 \)	\( 2^{4} \cdot 79^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$1580$	$48$	$1$	$1$	$1$		$0$	$240$	$1.142109$	$1413378216646643521/49232902384$	$1.01962$	$8.25516$	$1$	$[1, 1, 1, -23380, -1385691]$	\(y^2+xy+y=x^3+x^2-23380x-1385691\)	5.24.0-5.a.2.2, 316.2.0.?, 1580.48.1.?	$[ ]$	$1$
158.d2	158c1	158.d	158c	$2$	$5$	\( 2 \cdot 79 \)	\( 2^{20} \cdot 79 \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$1580$	$48$	$1$	$1$	$1$		$4$	$48$	$0.337390$	$8194759433281/82837504$	$0.96131$	$5.87337$	$1$	$[1, 1, 1, -420, 3109]$	\(y^2+xy+y=x^3+x^2-420x+3109\)	5.24.0-5.a.1.2, 316.2.0.?, 1580.48.1.?	$[ ]$	$1$
171.c1	171c2	171.c	171c	$2$	$5$	\( 3^{2} \cdot 19 \)	\( - 3^{8} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$570$	$48$	$1$	$1$	$1$		$0$	$480$	$1.200714$	$-9358714467168256/22284891$	$1.06833$	$8.43438$	$1$	$[0, 0, 1, -39513, 3023145]$	\(y^2+y=x^3-39513x+3023145\)	5.12.0.a.2, 15.24.0-5.a.2.1, 38.2.0.a.1, 190.24.1.?, 570.48.1.?	$[ ]$	$1$

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