LMFDB - Elliptic curve search results

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
19.a2	19a1	19.a	19a	$3$	$9$	$ 19 $	$ - 19^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	9.72.0.3	3Cs.1.1	$1026$	$1296$	$43$	$1$	$1$	$2$	$1$	$-0.515867$	$-89915392/6859$	$1.03310$	$6.26204$	$[0, 1, 1, -9, -15]$	$y^2+y=x^3+x^2-9x-15$	3.24.0-3.a.1.1, 9.72.0-9.b.1.1, 38.2.0.a.1, 114.48.1.?, 171.216.4.?, $\ldots$	$[]$
19.a3	19a3	19.a	19a	$3$	$9$	$ 19 $	$ -19 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	27.72.0.1	3B.1.1	$1026$	$1296$	$43$	$1$	$1$	$2$	$3$	$-1.065172$	$32768/19$	$1.31757$	$3.53113$	$[0, 1, 1, 1, 0]$	$y^2+y=x^3+x^2+x$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 27.72.0-27.a.1.2, 38.2.0.a.1, 114.16.0.?, $\ldots$	$[]$
26.a2	26a1	26.a	26a	$3$	$9$	$ 2 \cdot 13 $	$ - 2^{3} \cdot 13^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$936$	$144$	$3$	$1$	$1$	$2$	$2$	$-0.494920$	$-10218313/17576$	$0.94717$	$5.37707$	$[1, 0, 1, -5, -8]$	$y^2+xy+y=x^3-5x-8$	3.24.0-3.a.1.1, 104.2.0.?, 117.72.0.?, 312.48.1.?, 936.144.3.?	$[]$
26.a3	26a3	26.a	26a	$3$	$9$	$ 2 \cdot 13 $	$ - 2 \cdot 13 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$936$	$144$	$3$	$1$	$1$	$2$	$6$	$-1.044226$	$12167/26$	$0.84415$	$3.19113$	$[1, 0, 1, 0, 0]$	$y^2+xy+y=x^3$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 104.2.0.?, 117.72.0.?, 312.16.0.?, $\ldots$	$[]$
35.a2	35a3	35.a	35a	$3$	$9$	$ 5 \cdot 7 $	$ - 5 \cdot 7 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$630$	$144$	$3$	$1$	$1$	$2$	$6$	$-0.971150$	$-262144/35$	$0.88715$	$3.56765$	$[0, 1, 1, -1, 0]$	$y^2+y=x^3+x^2-x$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 63.72.0-63.e.1.2, 70.2.0.a.1, 210.16.0.?, $\ldots$	$[]$
35.a3	35a1	35.a	35a	$3$	$9$	$ 5 \cdot 7 $	$ - 5^{3} \cdot 7^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$630$	$144$	$3$	$1$	$1$	$2$	$2$	$-0.421844$	$71991296/42875$	$1.06493$	$5.08869$	$[0, 1, 1, 9, 1]$	$y^2+y=x^3+x^2+9x+1$	3.24.0-3.a.1.1, 63.72.0-63.b.1.3, 70.2.0.a.1, 210.48.1.?, 630.144.3.?	$[]$
37.b2	37b1	37.b	37b	$3$	$9$	$ 37 $	$ 37^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	9.72.0.3	3Cs.1.1	$1998$	$1296$	$43$	$1$	$1$	$2$	$2$	$-0.327225$	$1404928000/50653$	$0.97274$	$5.83321$	$[0, 1, 1, -23, -50]$	$y^2+y=x^3+x^2-23x-50$	3.24.0-3.a.1.1, 9.72.0-9.b.1.1, 74.2.0.?, 222.48.1.?, 333.216.4.?, $\ldots$	$[]$
37.b3	37b3	37.b	37b	$3$	$9$	$ 37 $	$ 37 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	27.72.0.1	3B.1.1	$1998$	$1296$	$43$	$1$	$1$	$2$	$6$	$-0.876531$	$4096000/37$	$0.88268$	$4.21652$	$[0, 1, 1, -3, 1]$	$y^2+y=x^3+x^2-3x+1$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 27.72.0-27.a.1.2, 74.2.0.?, 222.16.0.?, $\ldots$	$[]$
38.a2	38a3	38.a	38a	$3$	$9$	$ 2 \cdot 19 $	$ - 2^{3} \cdot 19 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	27.72.0.1	3B.1.1	$4104$	$1296$	$43$	$1$	$1$	$2$	$18$	$-0.613442$	$-413493625/152$	$0.93281$	$5.45438$	$[1, 0, 1, -16, 22]$	$y^2+xy+y=x^3-16x+22$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 27.72.0-27.a.1.2, 152.2.0.?, 171.72.0.?, $\ldots$	$[]$
38.a3	38a1	38.a	38a	$3$	$9$	$ 2 \cdot 19 $	$ - 2^{9} \cdot 19^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	9.72.0.3	3Cs.1.1	$4104$	$1296$	$43$	$1$	$1$	$2$	$6$	$-0.064137$	$94196375/3511808$	$1.01875$	$6.18837$	$[1, 0, 1, 9, 90]$	$y^2+xy+y=x^3+9x+90$	3.24.0-3.a.1.1, 9.72.0-9.b.1.1, 152.2.0.?, 171.216.4.?, 456.48.1.?, $\ldots$	$[]$
44.a2	44a1	44.a	44a	$2$	$3$	$ 2^{2} \cdot 11 $	$ - 2^{8} \cdot 11 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$66$	$16$	$0$	$1$	$1$	$2$	$2$	$-0.652294$	$8192/11$	$0.84294$	$3.91998$	$[0, 1, 0, 3, -1]$	$y^2=x^3+x^2+3x-1$	3.8.0-3.a.1.2, 22.2.0.a.1, 66.16.0-66.a.1.4	$[]$
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	$120$	$384$	$9$	$1$	$1$	$2$	$10$	$0.078619$	$-121945/32$	$0.94334$	$6.38053$	$[1, 0, 1, -76, 298]$	$y^2+xy+y=x^3-76x+298$	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, $\ldots$	$[]$
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	$120$	$384$	$9$	$1$	$1$	$2$	$2$	$-0.726100$	$-25/2$	$1.09044$	$3.73025$	$[1, 0, 1, -1, -2]$	$y^2+xy+y=x^3-x-2$	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, $\ldots$	$[]$
77.b1	77b3	77.b	77b	$3$	$9$	$ 7 \cdot 11 $	$ - 7^{2} \cdot 11 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$1386$	$144$	$3$	$1$	$1$	$2$	$60$	$-0.295000$	$-78843215872/539$	$1.00604$	$5.77621$	$[0, 1, 1, -89, 295]$	$y^2+y=x^3+x^2-89x+295$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 22.2.0.a.1, 63.72.0-63.e.1.2, 66.16.0-66.a.1.4, $\ldots$	$[]$
77.b2	77b1	77.b	77b	$3$	$9$	$ 7 \cdot 11 $	$ - 7^{6} \cdot 11^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$1386$	$144$	$3$	$1$	$1$	$2$	$20$	$0.254306$	$-13278380032/156590819$	$1.06522$	$6.07112$	$[0, 1, 1, -49, 600]$	$y^2+y=x^3+x^2-49x+600$	3.24.0-3.a.1.1, 22.2.0.a.1, 63.72.0-63.b.1.3, 66.48.1-66.b.1.1, 1386.144.3.?	$[]$
91.b2	91b1	91.b	91b	$3$	$9$	$ 7 \cdot 13 $	$ - 7 \cdot 13 $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$1638$	$144$	$3$	$1.059245086$	$1$	$6$	$4$	$-0.738508$	$-43614208/91$	$0.87141$	$3.90047$	$[0, 1, 1, -7, 5]$	$y^2+y=x^3+x^2-7x+5$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 117.72.0.?, 182.2.0.?, 546.16.0.?, $\ldots$	$[(3, 4)]$
91.b3	91b2	91.b	91b	$3$	$9$	$ 7 \cdot 13 $	$ - 7^{3} \cdot 13^{3} $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$1638$	$144$	$3$	$0.353081695$	$1$	$10$	$12$	$-0.189202$	$224755712/753571$	$0.95798$	$4.61061$	$[0, 1, 1, 13, 42]$	$y^2+y=x^3+x^2+13x+42$	3.24.0-3.a.1.1, 117.72.0.?, 182.2.0.?, 546.48.1.?, 1638.144.3.?	$[(-2, 3)]$
92.b2	92a1	92.b	92a	$2$	$3$	$ 2^{2} \cdot 23 $	$ - 2^{4} \cdot 23 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$138$	$16$	$0$	$1$	$1$	$2$	$2$	$-0.819269$	$32000/23$	$0.71982$	$2.90727$	$[0, 1, 0, 2, 1]$	$y^2=x^3+x^2+2x+1$	3.8.0-3.a.1.2, 46.2.0.a.1, 138.16.0.?	$[]$
106.c2	106a1	106.c	106a	$2$	$3$	$ 2 \cdot 53 $	$ - 2^{3} \cdot 53 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$1272$	$16$	$0$	$1$	$1$	$2$	$6$	$-0.813213$	$103823/424$	$0.82910$	$2.86305$	$[1, 0, 0, 1, 1]$	$y^2+xy=x^3+x+1$	3.8.0-3.a.1.2, 424.2.0.?, 1272.16.0.?	$[]$
106.d2	106c1	106.d	106c	$2$	$3$	$ 2 \cdot 53 $	$ - 2^{24} \cdot 53 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$636$	$16$	$0$	$1$	$1$	$2$	$48$	$0.428091$	$-2507141976625/889192448$	$0.97433$	$6.22463$	$[1, 0, 0, -283, -2351]$	$y^2+xy=x^3-283x-2351$	3.8.0-3.a.1.2, 212.2.0.?, 636.16.0.?	$[]$
110.a1	110c1	110.a	110c	$2$	$3$	$ 2 \cdot 5 \cdot 11 $	$ - 2^{7} \cdot 5 \cdot 11^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$1320$	$16$	$0$	$1$	$1$	$2$	$28$	$-0.047191$	$-76711450249/851840$	$0.93960$	$5.33612$	$[1, 0, 1, -89, 316]$	$y^2+xy+y=x^3-89x+316$	3.8.0-3.a.1.2, 440.2.0.?, 1320.16.0.?	$[]$
110.c1	110b1	110.c	110b	$2$	$3$	$ 2 \cdot 5 \cdot 11 $	$ - 2^{3} \cdot 5 \cdot 11 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$1320$	$16$	$0$	$1$	$1$	$2$	$4$	$-0.807105$	$-117649/440$	$0.93815$	$2.91148$	$[1, 0, 0, -1, 1]$	$y^2+xy=x^3-x+1$	3.8.0-3.a.1.2, 440.2.0.?, 1320.16.0.?	$[]$
116.b1	116b1	116.b	116b	$2$	$3$	$ 2^{2} \cdot 29 $	$ - 2^{8} \cdot 29 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$348$	$16$	$0$	$1$	$1$	$2$	$8$	$-0.559319$	$-35152/29$	$0.71422$	$3.55493$	$[0, 1, 0, -4, 4]$	$y^2=x^3+x^2-4x+4$	3.8.0-3.a.1.2, 116.2.0.?, 348.16.0.?	$[]$
124.a1	124a1	124.a	124a	$2$	$3$	$ 2^{2} \cdot 31 $	$ - 2^{4} \cdot 31 $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$186$	$16$	$0$	$0.520530693$	$1$	$10$	$6$	$-0.771762$	$-87808/31$	$0.69864$	$3.03546$	$[0, 1, 0, -2, 1]$	$y^2=x^3+x^2-2x+1$	3.8.0-3.a.1.2, 62.2.0.a.1, 186.16.0.?	$[(2, 3)]$
140.a2	140a1	140.a	140a	$2$	$3$	$ 2^{2} \cdot 5 \cdot 7 $	$ - 2^{8} \cdot 5^{3} \cdot 7 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$210$	$16$	$0$	$1$	$1$	$2$	$12$	$-0.291759$	$-65536/875$	$0.97204$	$4.01011$	$[0, 1, 0, -5, -25]$	$y^2=x^3+x^2-5x-25$	3.8.0-3.a.1.2, 70.2.0.a.1, 210.16.0.?	$[]$
142.e2	142d1	142.e	142d	$2$	$3$	$ 2 \cdot 71 $	$ 2^{3} \cdot 71 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$1704$	$16$	$0$	$1$	$1$	$2$	$4$	$-0.652843$	$57066625/568$	$0.85335$	$3.60378$	$[1, 0, 0, -8, 8]$	$y^2+xy=x^3-8x+8$	3.8.0-3.a.1.2, 568.2.0.?, 1704.16.0.?	$[]$
158.b2	158d1	158.b	158d	$3$	$9$	$ 2 \cdot 79 $	$ 2^{6} \cdot 79^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$2844$	$144$	$3$	$1$	$1$	$2$	$40$	$0.130552$	$59914169497/31554496$	$0.96798$	$4.90187$	$[1, 0, 1, -82, -92]$	$y^2+xy+y=x^3-82x-92$	3.24.0-3.a.1.1, 316.2.0.?, 711.72.0.?, 948.48.1.?, 2844.144.3.?	$[]$
158.b3	158d3	158.b	158d	$3$	$9$	$ 2 \cdot 79 $	$ 2^{2} \cdot 79 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$2844$	$144$	$3$	$1$	$1$	$2$	$120$	$-0.418754$	$11134383337/316$	$0.90937$	$4.56946$	$[1, 0, 1, -47, 118]$	$y^2+xy+y=x^3-47x+118$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 316.2.0.?, 711.72.0.?, 948.16.0.?, $\ldots$	$[]$
170.c1	170d1	170.c	170d	$2$	$3$	$ 2 \cdot 5 \cdot 17 $	$ - 2^{3} \cdot 5^{3} \cdot 17 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$2040$	$16$	$0$	$1$	$1$	$2$	$12$	$-0.505901$	$-1771561/17000$	$0.99970$	$3.35960$	$[1, 0, 1, -3, 6]$	$y^2+xy+y=x^3-3x+6$	3.8.0-3.a.1.2, 680.2.0.?, 2040.16.0.?	$[]$
170.e2	170c1	170.e	170c	$2$	$3$	$ 2 \cdot 5 \cdot 17 $	$ - 2^{21} \cdot 5^{3} \cdot 17 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$2040$	$16$	$0$	$1$	$1$	$2$	$84$	$0.540466$	$7023836099951/4456448000$	$0.99857$	$5.75964$	$[1, 0, 0, 399, -919]$	$y^2+xy=x^3+399x-919$	3.8.0-3.a.1.2, 680.2.0.?, 2040.16.0.?	$[]$
172.a1	172a1	172.a	172a	$2$	$3$	$ 2^{2} \cdot 43 $	$ - 2^{8} \cdot 43 $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$258$	$16$	$0$	$0.760139663$	$1$	$10$	$12$	$-0.457803$	$-1024000/43$	$0.81000$	$3.77940$	$[0, 1, 0, -13, 15]$	$y^2=x^3+x^2-13x+15$	3.8.0-3.a.1.2, 86.2.0.?, 258.16.0.?	$[(2, 1)]$
178.b2	178a1	178.b	178a	$2$	$3$	$ 2 \cdot 89 $	$ - 2^{12} \cdot 89 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$1068$	$16$	$0$	$1$	$1$	$2$	$32$	$-0.252186$	$23639903/364544$	$0.91882$	$3.90269$	$[1, 0, 0, 6, -28]$	$y^2+xy=x^3+6x-28$	3.8.0-3.a.1.2, 356.2.0.?, 1068.16.0.?	$[]$
182.d2	182b2	182.d	182b	$3$	$9$	$ 2 \cdot 7 \cdot 13 $	$ - 2^{3} \cdot 7^{3} \cdot 13^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$6552$	$144$	$3$	$1$	$1$	$2$	$36$	$0.131151$	$-795309684625/6028568$	$0.94067$	$5.26806$	$[1, 0, 0, -193, -1055]$	$y^2+xy=x^3-193x-1055$	3.24.0-3.a.1.1, 728.2.0.?, 819.72.0.?, 2184.48.1.?, 6552.144.3.?	$[]$
182.d3	182b1	182.d	182b	$3$	$9$	$ 2 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 7 \cdot 13 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$6552$	$144$	$3$	$1$	$1$	$2$	$12$	$-0.418155$	$37595375/46592$	$0.87083$	$3.37716$	$[1, 0, 0, 7, -7]$	$y^2+xy=x^3+7x-7$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 728.2.0.?, 819.72.0.?, 2184.16.0.?, $\ldots$	$[]$
187.a2	187a1	187.a	187a	$2$	$3$	$ 11 \cdot 17 $	$ - 11^{3} \cdot 17^{2} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$66$	$16$	$0$	$1$	$1$	$2$	$16$	$-0.244858$	$134217728/384659$	$1.07792$	$3.84035$	$[0, 1, 1, 11, 30]$	$y^2+y=x^3+x^2+11x+30$	3.8.0-3.a.1.2, 22.2.0.a.1, 66.16.0-66.a.1.4	$[]$
190.c2	190c1	190.c	190c	$2$	$3$	$ 2 \cdot 5 \cdot 19 $	$ - 2^{3} \cdot 5^{6} \cdot 19 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$456$	$16$	$0$	$1$	$1$	$2$	$24$	$-0.078167$	$-2992209121/2375000$	$0.90876$	$4.32299$	$[1, 0, 0, -30, -100]$	$y^2+xy=x^3-30x-100$	3.8.0-3.a.1.2, 152.2.0.?, 456.16.0.?	$[]$
196.b2	196b1	196.b	196b	$2$	$3$	$ 2^{2} \cdot 7^{2} $	$ 2^{4} \cdot 7^{8} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$		✓	$2, 3$	4.4.0.2, 9.24.0.2	2Cn, 3B.1.1	$252$	$864$	$28$	$1$	$1$	$2$	$42$	$0.218614$	$1792$	$0.89152$	$4.89397$	$[0, 1, 0, -114, -127]$	$y^2=x^3+x^2-114x-127$	2.2.0.a.1, 3.8.0-3.a.1.2, 4.4.0-2.a.1.1, 6.16.0-6.a.1.2, 9.24.0-9.b.1.2, $\ldots$	$[]$
209.a1	209a1	209.a	209a	$2$	$3$	$ 11 \cdot 19 $	$ - 11^{3} \cdot 19^{2} $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$66$	$16$	$0$	$0.665117363$	$1$	$6$	$24$	$-0.188416$	$-2258403328/480491$	$0.89836$	$4.09016$	$[0, 1, 1, -27, 55]$	$y^2+y=x^3+x^2-27x+55$	3.8.0-3.a.1.2, 22.2.0.a.1, 66.16.0-66.a.1.4	$[(-5, 9)]$
214.d2	214d1	214.d	214d	$2$	$3$	$ 2 \cdot 107 $	$ - 2^{6} \cdot 107 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$642$	$16$	$0$	$1$	$1$	$2$	$12$	$-0.582585$	$857375/6848$	$0.85162$	$3.02111$	$[1, 0, 0, 2, 4]$	$y^2+xy=x^3+2x+4$	3.8.0-3.a.1.2, 214.2.0.?, 642.16.0.?	$[]$
218.a1	218a1	218.a	218a	$2$	$3$	$ 2 \cdot 109 $	$ - 2^{6} \cdot 109 $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$1308$	$16$	$0$	$0.573314547$	$1$	$10$	$24$	$-0.579519$	$-912673/6976$	$0.85094$	$3.04168$	$[1, 0, 0, -2, 4]$	$y^2+xy=x^3-2x+4$	3.8.0-3.a.1.2, 436.2.0.?, 1308.16.0.?	$[(4, 6)]$
236.b1	236b1	236.b	236b	$2$	$3$	$ 2^{2} \cdot 59 $	$ - 2^{4} \cdot 59 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$354$	$16$	$0$	$1$	$1$	$2$	$14$	$-0.612070$	$-5619712/59$	$0.84353$	$3.35522$	$[0, 1, 0, -9, 8]$	$y^2=x^3+x^2-9x+8$	3.8.0-3.a.1.2, 118.2.0.?, 354.16.0.?	$[]$
242.a2	242b1	242.a	242b	$2$	$3$	$ 2 \cdot 11^{2} $	$ - 2^{4} \cdot 11^{8} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$			$2, 3$	8.4.0.2, 3.8.0.1	3B.1.1	$24$	$32$	$0$	$1$	$1$	$2$	$176$	$0.518434$	$24167/16$	$0.94416$	$5.33362$	$[1, 0, 1, 360, -970]$	$y^2+xy+y=x^3+360x-970$	3.8.0-3.a.1.2, 4.2.0.a.1, 8.4.0-4.a.1.1, 12.16.0-12.a.1.6, 24.32.0-24.b.1.8	$[]$
254.b2	254a2	254.b	254a	$3$	$9$	$ 2 \cdot 127 $	$ 2^{3} \cdot 127^{3} $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$9144$	$144$	$3$	$1.294028472$	$1$	$4$	$108$	$0.228359$	$3046733141473/16387064$	$0.93983$	$5.19114$	$[1, 0, 0, -302, -2036]$	$y^2+xy=x^3-302x-2036$	3.24.0-3.a.1.1, 1016.2.0.?, 1143.72.0.?, 3048.48.1.?, 9144.144.3.?	$[(-10, 8)]$
254.b3	254a1	254.b	254a	$3$	$9$	$ 2 \cdot 127 $	$ 2^{9} \cdot 127 $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$9144$	$144$	$3$	$0.431342824$	$1$	$12$	$36$	$-0.320947$	$1180932193/65024$	$0.87062$	$3.77250$	$[1, 0, 0, -22, 36]$	$y^2+xy=x^3-22x+36$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 1016.2.0.?, 1143.72.0.?, 3048.16.0.?, $\ldots$	$[(2, 0)]$
278.a1	278b3	278.a	278b	$3$	$9$	$ 2 \cdot 139 $	$ - 2^{4} \cdot 139 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$2502$	$144$	$3$	$1$	$1$	$2$	$816$	$0.078704$	$-24069980174617/2224$	$0.95090$	$5.47514$	$[1, 0, 1, -602, 5628]$	$y^2+xy+y=x^3-602x+5628$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 278.2.0.?, 834.16.0.?, 1251.72.0.?, $\ldots$	$[]$
278.a2	278b1	278.a	278b	$3$	$9$	$ 2 \cdot 139 $	$ - 2^{12} \cdot 139^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$2502$	$144$	$3$	$1$	$1$	$2$	$272$	$0.628011$	$-17079827632777/11000295424$	$0.96079$	$5.54710$	$[1, 0, 1, -537, 6908]$	$y^2+xy+y=x^3-537x+6908$	3.24.0-3.a.1.1, 278.2.0.?, 834.48.1.?, 1251.72.0.?, 2502.144.3.?	$[]$
286.a1	286a1	286.a	286a	$2$	$3$	$ 2 \cdot 11 \cdot 13 $	$ - 2^{5} \cdot 11 \cdot 13^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$3432$	$16$	$0$	$1$	$1$	$2$	$60$	$-0.189498$	$-30664297/773344$	$0.91386$	$3.71922$	$[1, 0, 1, -7, 42]$	$y^2+xy+y=x^3-7x+42$	3.8.0-3.a.1.2, 1144.2.0.?, 3432.16.0.?	$[]$
325.c2	325a1	325.c	325a	$2$	$3$	$ 5^{2} \cdot 13 $	$ 5^{8} \cdot 13 $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$78$	$16$	$0$	$1.988917661$	$1$	$4$	$60$	$0.030295$	$163840/13$	$0.79946$	$4.30202$	$[0, 1, 1, -83, 244]$	$y^2+y=x^3+x^2-83x+244$	3.8.0-3.a.1.2, 26.2.0.a.1, 78.16.0.?	$[(2, 9)]$
326.a2	326c1	326.a	326c	$3$	$9$	$ 2 \cdot 163 $	$ 2^{9} \cdot 163^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	9.72.0.3	3Cs.1.1	$35208$	$1296$	$43$	$1$	$1$	$2$	$204$	$0.488596$	$4927753743913/2217342464$	$0.95858$	$5.05036$	$[1, 0, 1, -355, 1182]$	$y^2+xy+y=x^3-355x+1182$	3.24.0-3.a.1.1, 9.72.0-9.b.1.1, 1304.2.0.?, 1467.216.4.?, 3912.48.1.?, $\ldots$	$[]$
326.a3	326c3	326.a	326c	$3$	$9$	$ 2 \cdot 163 $	$ 2^{3} \cdot 163 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓		$3$	27.72.0.1	3B.1.1	$35208$	$1296$	$43$	$1$	$1$	$2$	$612$	$-0.060710$	$2971699000633/1304$	$0.93190$	$4.96296$	$[1, 0, 1, -300, 1970]$	$y^2+xy+y=x^3-300x+1970$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 27.72.0-27.a.1.2, 1304.2.0.?, 1467.72.0.?, $\ldots$	$[]$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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