LMFDB - Elliptic curve search results

Refine search

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	Nonmax$\ \ell$	Adelic level	Adelic index	Adelic genus

		Sort order	Select

Results (1-50 of 51421 matches)

Next Download to Pari/GP SageMath Magma Oscar

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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation	mod-$m$ images
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	$1026$	$1296$	$43$	$1$	$1$	$2$	$1$	$-0.515867$	$-89915392/6859$	$[0, 1, 1, -9, -15]$	$y^2+y=x^3+x^2-9x-15$	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	$1026$	$1296$	$43$	$1$	$1$	$2$	$3$	$-1.065172$	$32768/19$	$[0, 1, 1, 1, 0]$	$y^2+y=x^3+x^2+x$	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	$936$	$144$	$3$	$1$	$1$	$2$	$2$	$-0.494920$	$-10218313/17576$	$[1, 0, 1, -5, -8]$	$y^2+xy+y=x^3-5x-8$	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	$936$	$144$	$3$	$1$	$1$	$2$	$6$	$-1.044226$	$12167/26$	$[1, 0, 1, 0, 0]$	$y^2+xy+y=x^3$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 104.2.0.?, 117.72.0.?, 312.16.0.?, $\ldots$
27.a2	27a4	27.a	27a	$4$	$27$	$ 3^{3} $	$ - 3^{5} $	$0$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-27$	$N(\mathrm{U}(1))$		✓	$3$	27.648.13.25	3B.1.1	$$	$$	$$	$1$	$1$	$2$	$9$	$-0.497158$	$-12288000$	$[0, 0, 1, -30, 63]$	$y^2+y=x^3-30x+63$
27.a3	27a1	27.a	27a	$4$	$27$	$ 3^{3} $	$ - 3^{9} $	$0$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.1944.55.37	3Cs.1.1	$$	$$	$$	$1$	$1$	$2$	$1$	$-0.497158$	$0$	$[0, 0, 1, 0, -7]$	$y^2+y=x^3-7$
27.a4	27a3	27.a	27a	$4$	$27$	$ 3^{3} $	$ - 3^{3} $	$0$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.1944.55.31	3Cs.1.1	$$	$$	$$	$1$	$1$	$2$	$3$	$-1.046465$	$0$	$[0, 0, 1, 0, 0]$	$y^2+y=x^3$
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, 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$	$[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, 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, 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$	$[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, 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, 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$	$[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, 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$
51.a2	51a1	51.a	51a	$2$	$3$	$ 3 \cdot 17 $	$ - 3^{3} \cdot 17 $	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$102$	$16$	$0$	$1$	$1$	$2$	$2$	$-0.808530$	$32768/459$	$[0, 1, 1, 1, -1]$	$y^2+y=x^3+x^2+x-1$	3.8.0-3.a.1.2, 102.16.0.?
54.a2	54a3	54.a	54a	$3$	$9$	$ 2 \cdot 3^{3} $	$ - 2 \cdot 3^{3} $	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	9.72.0.6	3B.1.1	$72$	$144$	$3$	$1$	$1$	$2$	$18$	$-0.864511$	$-132651/2$	$[1, -1, 0, -3, 3]$	$y^2+xy=x^3-x^2-3x+3$	3.8.0-3.a.1.2, 9.72.0-9.d.2.1, 24.16.0-24.d.1.8, 72.144.3.?
54.a3	54a1	54.a	54a	$3$	$9$	$ 2 \cdot 3^{3} $	$ - 2^{3} \cdot 3^{9} $	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	9.72.0.2	3Cs.1.1	$72$	$144$	$3$	$1$	$1$	$2$	$6$	$-0.315205$	$9261/8$	$[1, -1, 0, 12, 8]$	$y^2+xy=x^3-x^2+12x+8$	3.24.0-3.a.1.1, 9.72.0-9.a.1.2, 24.48.1-24.ci.1.1, 72.144.3.?
54.b3	54b1	54.b	54b	$3$	$9$	$ 2 \cdot 3^{3} $	$ - 2^{3} \cdot 3^{3} $	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	9.72.0.1	3Cs.1.1	$72$	$144$	$3$	$1$	$1$	$2$	$2$	$-0.864511$	$9261/8$	$[1, -1, 1, 1, -1]$	$y^2+xy+y=x^3-x^2+x-1$	3.24.0-3.a.1.1, 9.72.0-9.a.1.1, 24.48.1-24.ci.1.1, 72.144.3.?
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$	$[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$	$[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, 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$
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, 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.?
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, 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$	$[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$	$[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.?
108.a2	108a1	108.a	108a	$2$	$3$	$ 2^{2} \cdot 3^{3} $	$ - 2^{8} \cdot 3^{3} $	$0$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1	$$	$$	$$	$1$	$1$	$2$	$6$	$-0.584366$	$0$	$[0, 0, 0, 0, 4]$	$y^2=x^3+4$
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	$1320$	$16$	$0$	$1$	$1$	$2$	$28$	$-0.047191$	$-76711450249/851840$	$[1, 0, 1, -89, 316]$	$y^2+xy+y=x^3-89x+316$	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	$1320$	$16$	$0$	$1$	$1$	$2$	$4$	$-0.807105$	$-117649/440$	$[1, 0, 0, -1, 1]$	$y^2+xy=x^3-x+1$	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	$348$	$16$	$0$	$1$	$1$	$2$	$8$	$-0.559319$	$-35152/29$	$[0, 1, 0, -4, 4]$	$y^2=x^3+x^2-4x+4$	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	$186$	$16$	$0$	$0.520530693$	$1$	$10$	$6$	$-0.771762$	$-87808/31$	$[0, 1, 0, -2, 1]$	$y^2=x^3+x^2-2x+1$	3.8.0-3.a.1.2, 62.2.0.a.1, 186.16.0.?
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	$210$	$16$	$0$	$1$	$1$	$2$	$12$	$-0.291759$	$-65536/875$	$[0, 1, 0, -5, -25]$	$y^2=x^3+x^2-5x-25$	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	$1704$	$16$	$0$	$1$	$1$	$2$	$4$	$-0.652843$	$57066625/568$	$[1, 0, 0, -8, 8]$	$y^2+xy=x^3-8x+8$	3.8.0-3.a.1.2, 568.2.0.?, 1704.16.0.?
153.b1	153b2	153.b	153b	$2$	$3$	$ 3^{2} \cdot 17 $	$ - 3^{7} \cdot 17^{3} $	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$102$	$16$	$0$	$0.338669215$	$1$	$10$	$48$	$0.290082$	$-23100424192/14739$	$[0, 0, 1, -534, 4752]$	$y^2+y=x^3-534x+4752$	3.8.0-3.a.1.2, 102.16.0.?
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	$2844$	$144$	$3$	$1$	$1$	$2$	$40$	$0.130552$	$59914169497/31554496$	$[1, 0, 1, -82, -92]$	$y^2+xy+y=x^3-82x-92$	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	$2844$	$144$	$3$	$1$	$1$	$2$	$120$	$-0.418754$	$11134383337/316$	$[1, 0, 1, -47, 118]$	$y^2+xy+y=x^3-47x+118$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 316.2.0.?, 711.72.0.?, 948.16.0.?, $\ldots$
162.a1	162a1	162.a	162a	$2$	$3$	$ 2 \cdot 3^{4} $	$ - 2^{2} \cdot 3^{6} $	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.8.0.2, 3.8.0.1	3B.1.1	$12$	$128$	$1$	$0.305934883$	$1$	$14$	$12$	$-0.597807$	$-35937/4$	$[1, -1, 0, -6, 8]$	$y^2+xy=x^3-x^2-6x+8$	3.8.0-3.a.1.2, 4.8.0.b.1, 12.128.1-12.b.2.3
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	$504$	$768$	$21$	$1$	$1$	$2$	$42$	$0.269368$	$-189613868625/128$	$[1, -1, 0, -1077, 13877]$	$y^2+xy=x^3-x^2-1077x+13877$	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, $\ldots$
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	$504$	$768$	$21$	$1$	$1$	$2$	$6$	$-0.703587$	$3375/2$	$[1, -1, 0, 3, -1]$	$y^2+xy=x^3-x^2+3x-1$	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, $\ldots$
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	$504$	$768$	$21$	$1$	$1$	$2$	$42$	$0.269368$	$-1159088625/2097152$	$[1, -1, 1, -95, -697]$	$y^2+xy+y=x^3-x^2-95x-697$	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, $\ldots$
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	$504$	$768$	$21$	$1$	$1$	$2$	$6$	$-0.703587$	$-140625/8$	$[1, -1, 1, -5, 5]$	$y^2+xy+y=x^3-x^2-5x+5$	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, $\ldots$
162.d2	162d1	162.d	162d	$2$	$3$	$ 2 \cdot 3^{4} $	$ - 2^{6} \cdot 3^{4} $	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.16.0.2, 3.8.0.1	3B.1.1	$12$	$128$	$1$	$1$	$1$	$2$	$12$	$-0.597807$	$109503/64$	$[1, -1, 1, 4, -1]$	$y^2+xy+y=x^3-x^2+4x-1$	3.8.0-3.a.1.2, 4.16.0-4.b.1.1, 12.128.1-12.b.1.4
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	$2040$	$16$	$0$	$1$	$1$	$2$	$12$	$-0.505901$	$-1771561/17000$	$[1, 0, 1, -3, 6]$	$y^2+xy+y=x^3-3x+6$	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	$2040$	$16$	$0$	$1$	$1$	$2$	$84$	$0.540466$	$7023836099951/4456448000$	$[1, 0, 0, 399, -919]$	$y^2+xy=x^3+399x-919$	3.8.0-3.a.1.2, 680.2.0.?, 2040.16.0.?
171.b1	171b3	171.b	171b	$3$	$9$	$ 3^{2} \cdot 19 $	$ - 3^{6} \cdot 19 $	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	27.72.0.1	3B.1.1	$1026$	$1296$	$43$	$2.033701819$	$1$	$4$	$72$	$0.582746$	$-50357871050752/19$	$[0, 0, 1, -6924, 221760]$	$y^2+y=x^3-6924x+221760$	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.?, $\ldots$
171.b2	171b2	171.b	171b	$3$	$9$	$ 3^{2} \cdot 19 $	$ - 3^{6} \cdot 19^{3} $	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	9.72.0.3	3Cs.1.1	$1026$	$1296$	$43$	$0.677900606$	$1$	$8$	$24$	$0.033439$	$-89915392/6859$	$[0, 0, 1, -84, 315]$	$y^2+y=x^3-84x+315$	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.?, $\ldots$
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	$258$	$16$	$0$	$0.760139663$	$1$	$10$	$12$	$-0.457803$	$-1024000/43$	$[0, 1, 0, -13, 15]$	$y^2=x^3+x^2-13x+15$	3.8.0-3.a.1.2, 86.2.0.?, 258.16.0.?
174.b1	174a1	174.b	174a	$2$	$3$	$ 2 \cdot 3 \cdot 29 $	$ - 2^{11} \cdot 3^{21} \cdot 29 $	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$696$	$16$	$0$	$1$	$1$	$2$	$1540$	$1.520357$	$-50577879066661513/621261297432576$	$[1, 0, 1, -7705, 1226492]$	$y^2+xy+y=x^3-7705x+1226492$	3.8.0-3.a.1.2, 696.16.0.?
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	$1068$	$16$	$0$	$1$	$1$	$2$	$32$	$-0.252186$	$23639903/364544$	$[1, 0, 0, 6, -28]$	$y^2+xy=x^3+6x-28$	3.8.0-3.a.1.2, 356.2.0.?, 1068.16.0.?

Next Download to Pari/GP SageMath Magma Oscar

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 51421 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Learn more

Refine search Advanced search options

Results (1-50 of 51421 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Refine search