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	Adelic level	Adelic index	Adelic genus

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

		Sort order	Select

Results (1-50 of 6759 matches)

Next Download displayed columns for results to

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	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
14.a3	14a2	14.a	14a	$6$	$18$	$ 2 \cdot 7 $	$ 2^{3} \cdot 7^{6} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.6, 3.24.0.1	2B, 3Cs.1.1	$504$	$864$	$21$	$1$	$1$	$4$	$2$	$-0.136205$	$4956477625/941192$	$1.00821$	$8.45907$	$[1, 0, 1, -36, -70]$	$y^2+xy+y=x^3-36x-70$	2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 8.6.0.b.1, 24.144.1-24.h.1.1, $\ldots$	$[]$
14.a4	14a6	14.a	14a	$6$	$18$	$ 2 \cdot 7 $	$ 2 \cdot 7^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.6, 9.24.0.1	2B, 3B.1.1	$504$	$864$	$21$	$1$	$1$	$4$	$6$	$-0.685512$	$128787625/98$	$0.96763$	$7.07589$	$[1, 0, 1, -11, 12]$	$y^2+xy+y=x^3-11x+12$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.b.1, 9.24.0-9.a.1.2, $\ldots$	$[]$
14.a5	14a4	14.a	14a	$6$	$18$	$ 2 \cdot 7 $	$ - 2^{2} \cdot 7 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.1, 9.24.0.1	2B, 3B.1.1	$504$	$864$	$21$	$1$	$1$	$5$	$3$	$-1.032085$	$-15625/28$	$1.01712$	$4.19346$	$[1, 0, 1, -1, 0]$	$y^2+xy+y=x^3-x$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.c.1, 9.24.0-9.a.1.2, $\ldots$	$[]$
14.a6	14a1	14.a	14a	$6$	$18$	$ 2 \cdot 7 $	$ - 2^{6} \cdot 7^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.1, 3.24.0.1	2B, 3Cs.1.1	$504$	$864$	$21$	$1$	$1$	$5$	$1$	$-0.482779$	$9938375/21952$	$0.98695$	$6.49759$	$[1, 0, 1, 4, -6]$	$y^2+xy+y=x^3+4x-6$	2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$	$[]$
20.a3	20a2	20.a	20a	$4$	$6$	$ 2^{2} \cdot 5 $	$ 2^{4} \cdot 5 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.22, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$9$	$1$	$1$	$5$	$2$	$-0.929950$	$16384/5$	$0.95621$	$4.16481$	$[0, 1, 0, -1, 0]$	$y^2=x^3+x^2-x$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.b.1, 6.24.0-6.a.1.4, 8.12.0-4.b.1.2, $\ldots$	$[]$
20.a4	20a1	20.a	20a	$4$	$6$	$ 2^{2} \cdot 5 $	$ - 2^{8} \cdot 5^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.37, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$9$	$1$	$1$	$5$	$1$	$-0.583377$	$21296/25$	$0.83964$	$5.18725$	$[0, 1, 0, 4, 4]$	$y^2=x^3+x^2+4x+4$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.a.1, 6.24.0-6.a.1.4, 8.12.0-4.a.1.1, $\ldots$	$[]$
30.a4	30a5	30.a	30a	$8$	$12$	$ 2 \cdot 3 \cdot 5 $	$ 2 \cdot 3^{3} \cdot 5^{4} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.8, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$5$	$1$	$1$	$4$	$8$	$0.014860$	$2656166199049/33750$	$1.05017$	$8.41113$	$[1, 0, 1, -289, 1862]$	$y^2+xy+y=x^3-289x+1862$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.4, $\ldots$	$[]$
30.a5	30a4	30.a	30a	$8$	$12$	$ 2 \cdot 3 \cdot 5 $	$ 2 \cdot 3^{12} \cdot 5 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.7, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$5$	$1$	$1$	$4$	$8$	$0.014860$	$35578826569/5314410$	$1.03393$	$7.14308$	$[1, 0, 1, -69, -194]$	$y^2+xy+y=x^3-69x-194$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.3, $\ldots$	$[]$
30.a8	30a1	30.a	30a	$8$	$12$	$ 2 \cdot 3 \cdot 5 $	$ - 2^{4} \cdot 3^{3} \cdot 5 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.12, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$5$	$1$	$1$	$5$	$2$	$-0.678288$	$357911/2160$	$0.99689$	$4.41955$	$[1, 0, 1, 1, 2]$	$y^2+xy+y=x^3+x+2$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.2, $\ldots$	$[]$
34.a3	34a2	34.a	34a	$4$	$6$	$ 2 \cdot 17 $	$ 2^{3} \cdot 17^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.6, 3.8.0.1	2B, 3B.1.1	$408$	$96$	$1$	$1$	$1$	$4$	$4$	$-0.369819$	$8805624625/2312$	$0.96590$	$6.49357$	$[1, 0, 0, -43, 105]$	$y^2+xy=x^3-43x+105$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.b.1, 24.48.0-24.y.1.15, $\ldots$	$[]$
34.a4	34a1	34.a	34a	$4$	$6$	$ 2 \cdot 17 $	$ 2^{6} \cdot 17 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.1, 3.8.0.1	2B, 3B.1.1	$408$	$96$	$1$	$1$	$1$	$5$	$2$	$-0.716393$	$3048625/1088$	$0.90010$	$4.23388$	$[1, 0, 0, -3, 1]$	$y^2+xy=x^3-3x+1$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.c.1, 24.48.0-24.bw.1.15, $\ldots$	$[]$
36.a2	36a2	36.a	36a	$4$	$6$	$ 2^{2} \cdot 3^{2} $	$ 2^{8} \cdot 3^{3} $	$0$	$\Z/6\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$1$	$1$	$5$	$2$	$-0.468842$	$54000$	$1.02720$	$5.50793$	$[0, 0, 0, -15, 22]$	$y^2=x^3-15x+22$		$[]$
36.a4	36a1	36.a	36a	$4$	$6$	$ 2^{2} \cdot 3^{2} $	$ - 2^{4} \cdot 3^{3} $	$0$	$\Z/6\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$2, 3$	16.192.9.83, 27.648.18.1	2B, 3B.1.1				$1$	$1$	$5$	$1$	$-0.815415$	$0$		$3.77371$	$[0, 0, 0, 0, 1]$	$y^2=x^3+1$		$[]$
66.a3	66a1	66.a	66a	$4$	$6$	$ 2 \cdot 3 \cdot 11 $	$ 2^{2} \cdot 3^{3} \cdot 11 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.4, 3.8.0.1	2B, 3B.1.1	$264$	$96$	$1$	$1$	$1$	$5$	$4$	$-0.659383$	$18609625/1188$	$0.92581$	$3.99536$	$[1, 0, 1, -6, 4]$	$y^2+xy+y=x^3-6x+4$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.d.1, 24.48.0-24.bx.1.15, $\ldots$	$[]$
66.a4	66a2	66.a	66a	$4$	$6$	$ 2 \cdot 3 \cdot 11 $	$ - 2 \cdot 3^{6} \cdot 11^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.5, 3.8.0.1	2B, 3B.1.1	$264$	$96$	$1$	$1$	$1$	$4$	$8$	$-0.312809$	$9938375/176418$	$1.01160$	$4.65484$	$[1, 0, 1, 4, 20]$	$y^2+xy+y=x^3+4x+20$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.a.1, 24.48.0-24.p.1.15, $\ldots$	$[]$
84.b3	84a2	84.b	84a	$4$	$6$	$ 2^{2} \cdot 3 \cdot 7 $	$ 2^{8} \cdot 3^{6} \cdot 7 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$84$	$96$	$1$	$1$	$1$	$5$	$12$	$-0.134497$	$9826000/5103$	$0.97243$	$4.88527$	$[0, 1, 0, -28, -28]$	$y^2=x^3+x^2-28x-28$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.j.1.8, 28.6.0.a.1, $\ldots$	$[]$
84.b4	84a1	84.b	84a	$4$	$6$	$ 2^{2} \cdot 3 \cdot 7 $	$ - 2^{4} \cdot 3^{3} \cdot 7^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$84$	$96$	$1$	$1$	$1$	$5$	$6$	$-0.481071$	$2048000/1323$	$1.10843$	$3.90559$	$[0, 1, 0, 7, 0]$	$y^2=x^3+x^2+7x$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.b.1.2, 28.6.0.b.1, 84.96.1.?	$[]$
90.a3	90a2	90.a	90a	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 $	$ 2 \cdot 3^{3} \cdot 5^{6} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$120$	$96$	$1$	$1$	$1$	$4$	$16$	$-0.171788$	$57960603/31250$	$1.11205$	$4.70489$	$[1, -1, 0, -24, 18]$	$y^2+xy=x^3-x^2-24x+18$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.ca.1.15, 40.6.0.e.1, $\ldots$	$[]$
90.a4	90a1	90.a	90a	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 $	$ - 2^{2} \cdot 3^{3} \cdot 5^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$120$	$96$	$1$	$1$	$1$	$5$	$8$	$-0.518362$	$804357/500$	$1.08207$	$3.75430$	$[1, -1, 0, 6, 0]$	$y^2+xy=x^3-x^2+6x$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cd.1.15, 30.48.0-30.b.1.4, $\ldots$	$[]$
90.b2	90b2	90.b	90b	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 $	$ 2^{3} \cdot 3^{3} \cdot 5^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$120$	$96$	$1$	$1$	$1$	$4$	$16$	$-0.171788$	$8527173507/200$	$1.05154$	$5.81410$	$[1, -1, 1, -128, 587]$	$y^2+xy+y=x^3-x^2-128x+587$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.ca.1.15, 40.6.0.e.1, $\ldots$	$[]$
90.b3	90b1	90.b	90b	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 $	$ - 2^{6} \cdot 3^{3} \cdot 5 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$120$	$96$	$1$	$1$	$1$	$5$	$8$	$-0.518362$	$-1860867/320$	$0.97305$	$3.99852$	$[1, -1, 1, -8, 11]$	$y^2+xy+y=x^3-x^2-8x+11$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cd.1.15, 30.48.0-30.b.1.4, $\ldots$	$[]$
90.c1	90c8	90.c	90c	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 $	$ 2^{3} \cdot 3^{10} \cdot 5^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$5$	$1$	$1$	$4$	$192$	$1.113472$	$16778985534208729/81000$	$1.08181$	$9.76721$	$[1, -1, 1, -48002, 4059929]$	$y^2+xy+y=x^3-x^2-48002x+4059929$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.5, $\ldots$	$[]$
90.c2	90c7	90.c	90c	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 $	$ 2^{3} \cdot 3^{7} \cdot 5^{12} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$5$	$1$	$1$	$4$	$192$	$1.113472$	$10316097499609/5859375000$	$1.13600$	$8.12399$	$[1, -1, 1, -4082, 14681]$	$y^2+xy+y=x^3-x^2-4082x+14681$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.12.0-4.c.1.2, 6.24.0-6.a.1.4, 12.96.0-12.c.3.7, $\ldots$	$[]$
102.b2	102c1	102.b	102c	$4$	$6$	$ 2 \cdot 3 \cdot 17 $	$ 2^{6} \cdot 3^{6} \cdot 17 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.4, 3.8.0.1	2B, 3B.1.1	$408$	$96$	$1$	$1$	$1$	$5$	$24$	$0.092120$	$1845026709625/793152$	$1.00293$	$6.10674$	$[1, 0, 1, -256, 1550]$	$y^2+xy+y=x^3-256x+1550$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.d.1, 24.48.0-24.bx.1.15, $\ldots$	$[]$
102.b3	102c2	102.b	102c	$4$	$6$	$ 2 \cdot 3 \cdot 17 $	$ - 2^{3} \cdot 3^{12} \cdot 17^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.5, 3.8.0.1	2B, 3B.1.1	$408$	$96$	$1$	$1$	$1$	$4$	$48$	$0.438694$	$-1107111813625/1228691592$	$1.01884$	$6.22784$	$[1, 0, 1, -216, 2062]$	$y^2+xy+y=x^3-216x+2062$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.a.1, 24.48.0-24.p.1.15, $\ldots$	$[]$
114.c3	114a1	114.c	114a	$4$	$6$	$ 2 \cdot 3 \cdot 19 $	$ 2^{6} \cdot 3^{3} \cdot 19 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.4, 3.8.0.1	2B, 3B.1.1	$456$	$96$	$1$	$1$	$1$	$5$	$12$	$-0.443804$	$57066625/32832$	$1.04766$	$3.77090$	$[1, 0, 0, -8, 0]$	$y^2+xy=x^3-8x$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.d.1, 24.48.0-24.bx.1.15, $\ldots$	$[]$
114.c4	114a2	114.c	114a	$4$	$6$	$ 2 \cdot 3 \cdot 19 $	$ - 2^{3} \cdot 3^{6} \cdot 19^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.5, 3.8.0.1	2B, 3B.1.1	$456$	$96$	$1$	$1$	$1$	$4$	$24$	$-0.097231$	$3616805375/2105352$	$1.07346$	$4.64695$	$[1, 0, 0, 32, 8]$	$y^2+xy=x^3+32x+8$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.a.1, 24.48.0-24.p.1.15, $\ldots$	$[]$
126.b1	126a6	126.b	126a	$6$	$18$	$ 2 \cdot 3^{2} \cdot 7 $	$ 2^{9} \cdot 3^{6} \cdot 7^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.6, 9.24.0.1	2B, 3B.1.1	$504$	$864$	$21$	$1$	$1$	$4$	$144$	$0.962407$	$2251439055699625/25088$	$1.06489$	$8.67237$	$[1, -1, 1, -24575, 1488935]$	$y^2+xy+y=x^3-x^2-24575x+1488935$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.b.1, 9.24.0-9.a.1.2, $\ldots$	$[]$
126.b2	126a5	126.b	126a	$6$	$18$	$ 2 \cdot 3^{2} \cdot 7 $	$ - 2^{18} \cdot 3^{6} \cdot 7 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.1, 9.24.0.1	2B, 3B.1.1	$504$	$864$	$21$	$1$	$1$	$5$	$72$	$0.615833$	$-548347731625/1835008$	$1.02933$	$6.95320$	$[1, -1, 1, -1535, 23591]$	$y^2+xy+y=x^3-x^2-1535x+23591$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.c.1, 9.24.0-9.a.1.2, $\ldots$	$[]$
126.b3	126a4	126.b	126a	$6$	$18$	$ 2 \cdot 3^{2} \cdot 7 $	$ 2^{3} \cdot 3^{6} \cdot 7^{6} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.6, 3.24.0.1	2B, 3Cs.1.1	$504$	$864$	$21$	$1$	$1$	$4$	$48$	$0.413101$	$4956477625/941192$	$1.00821$	$5.97890$	$[1, -1, 1, -320, 1883]$	$y^2+xy+y=x^3-x^2-320x+1883$	2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 8.6.0.b.1, 24.144.1-24.h.1.1, $\ldots$	$[]$
126.b6	126a3	126.b	126a	$6$	$18$	$ 2 \cdot 3^{2} \cdot 7 $	$ - 2^{6} \cdot 3^{6} \cdot 7^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.1, 3.24.0.1	2B, 3Cs.1.1	$504$	$864$	$21$	$1$	$1$	$5$	$24$	$0.066527$	$9938375/21952$	$0.98695$	$4.90856$	$[1, -1, 1, 40, 155]$	$y^2+xy+y=x^3-x^2+40x+155$	2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$	$[]$
130.a2	130a1	130.a	130a	$4$	$6$	$ 2 \cdot 5 \cdot 13 $	$ 2^{4} \cdot 5^{3} \cdot 13 $	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.21, 3.8.0.1	2B, 3B.1.1	$1560$	$384$	$9$	$1.170464153$	$1$	$13$	$24$	$-0.318857$	$3803721481/26000$	$0.90619$	$4.53191$	$[1, 0, 1, -33, 68]$	$y^2+xy+y=x^3-33x+68$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.b.1, 6.24.0-6.a.1.4, 8.12.0-4.b.1.3, $\ldots$	$[(2, 2)]$
130.a3	130a2	130.a	130a	$4$	$6$	$ 2 \cdot 5 \cdot 13 $	$ - 2^{2} \cdot 5^{6} \cdot 13^{2} $	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	4.12.0.12, 3.8.0.1	2B, 3B.1.1	$1560$	$384$	$9$	$0.585232076$	$1$	$20$	$48$	$0.027717$	$-217081801/10562500$	$0.97746$	$4.85654$	$[1, 0, 1, -13, 156]$	$y^2+xy+y=x^3-13x+156$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.12.0-4.a.1.1, 6.24.0-6.a.1.4, 12.96.0-12.b.1.3, $\ldots$	$[(5, 12)]$
138.b2	138b2	138.b	138b	$4$	$6$	$ 2 \cdot 3 \cdot 23 $	$ 2^{2} \cdot 3^{3} \cdot 23^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$276$	$96$	$1$	$1$	$1$	$4$	$32$	$0.146704$	$21081759765625/57132$	$1.12484$	$6.22648$	$[1, 0, 1, -576, 5266]$	$y^2+xy+y=x^3-576x+5266$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.h.1.7, 92.6.0.?, $\ldots$	$[]$
138.b3	138b1	138.b	138b	$4$	$6$	$ 2 \cdot 3 \cdot 23 $	$ - 2^{4} \cdot 3^{6} \cdot 23 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$276$	$96$	$1$	$1$	$1$	$5$	$16$	$-0.199870$	$-4956477625/268272$	$0.95072$	$4.54886$	$[1, 0, 1, -36, 82]$	$y^2+xy+y=x^3-36x+82$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.i.1.8, 46.6.0.a.1, $\ldots$	$[]$
156.b3	156b2	156.b	156b	$4$	$6$	$ 2^{2} \cdot 3 \cdot 13 $	$ 2^{8} \cdot 3^{3} \cdot 13^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$156$	$96$	$1$	$1$	$1$	$5$	$24$	$0.030152$	$1409938000/4563$	$0.93342$	$5.26985$	$[0, 1, 0, -148, 644]$	$y^2=x^3+x^2-148x+644$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.h.1.7, 52.6.0.c.1, $\ldots$	$[]$
156.b4	156b1	156.b	156b	$4$	$6$	$ 2^{2} \cdot 3 \cdot 13 $	$ 2^{4} \cdot 3^{6} \cdot 13 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$156$	$96$	$1$	$1$	$1$	$5$	$12$	$-0.316421$	$16384000/9477$	$1.48887$	$3.83861$	$[0, 1, 0, -13, -4]$	$y^2=x^3+x^2-13x-4$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.i.1.8, 26.6.0.b.1, $\ldots$	$[]$
170.a2	170b1	170.a	170b	$4$	$6$	$ 2 \cdot 5 \cdot 17 $	$ 2^{8} \cdot 5^{2} \cdot 17^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.22, 3.8.0.1	2B, 3B.1.1	$2040$	$384$	$9$	$1$	$1$	$5$	$160$	$0.568171$	$1841373668746009/31443200$	$0.98941$	$6.84398$	$[1, 0, 1, -2554, 49452]$	$y^2+xy+y=x^3-2554x+49452$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.b.1, 6.24.0-6.a.1.4, 8.12.0-4.b.1.2, $\ldots$	$[]$
170.a3	170b2	170.a	170b	$4$	$6$	$ 2 \cdot 5 \cdot 17 $	$ - 2^{4} \cdot 5^{4} \cdot 17^{6} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.37, 3.8.0.1	2B, 3B.1.1	$2040$	$384$	$9$	$1$	$1$	$4$	$320$	$0.914744$	$-1673672305534489/241375690000$	$0.99210$	$6.86871$	$[1, 0, 1, -2474, 52716]$	$y^2+xy+y=x^3-2474x+52716$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.a.1, 6.24.0-6.a.1.4, 8.12.0-4.a.1.1, $\ldots$	$[]$
180.a1	180a3	180.a	180a	$4$	$6$	$ 2^{2} \cdot 3^{2} \cdot 5 $	$ 2^{4} \cdot 3^{6} \cdot 5^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$9$	$1$	$1$	$5$	$36$	$0.168662$	$488095744/125$	$1.07376$	$5.65579$	$[0, 0, 0, -372, 2761]$	$y^2=x^3-372x+2761$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.b.1, 6.24.0-6.a.1.4, 10.6.0.a.1, $\ldots$	$[]$
180.a2	180a4	180.a	180a	$4$	$6$	$ 2^{2} \cdot 3^{2} \cdot 5 $	$ - 2^{8} \cdot 3^{6} \cdot 5^{6} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$9$	$1$	$1$	$5$	$72$	$0.515236$	$-20720464/15625$	$0.95894$	$5.74195$	$[0, 0, 0, -327, 3454]$	$y^2=x^3-327x+3454$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.a.1, 6.24.0-6.a.1.4, 12.48.0-12.d.1.11, $\ldots$	$[]$
198.b3	198d2	198.b	198d	$4$	$6$	$ 2 \cdot 3^{2} \cdot 11 $	$ 2^{2} \cdot 3^{3} \cdot 11^{6} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$132$	$96$	$1$	$1$	$1$	$4$	$64$	$0.280059$	$13060888875/7086244$	$1.08865$	$5.02787$	$[1, -1, 0, -147, -135]$	$y^2+xy=x^3-x^2-147x-135$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.h.1.7, 44.6.0.e.1, $\ldots$	$[]$
198.b4	198d1	198.b	198d	$4$	$6$	$ 2 \cdot 3^{2} \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 11^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$132$	$96$	$1$	$1$	$1$	$5$	$32$	$-0.066515$	$2714704875/21296$	$0.99928$	$4.73081$	$[1, -1, 0, -87, 333]$	$y^2+xy=x^3-x^2-87x+333$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.i.1.8, 44.6.0.e.1, $\ldots$	$[]$
198.d2	198c2	198.d	198c	$4$	$6$	$ 2 \cdot 3^{2} \cdot 11 $	$ 2^{6} \cdot 3^{3} \cdot 11^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$132$	$96$	$1$	$1$	$1$	$4$	$64$	$0.280059$	$4406910829875/7744$	$1.04926$	$6.12867$	$[1, -1, 1, -1025, 12881]$	$y^2+xy+y=x^3-x^2-1025x+12881$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.h.1.7, 44.6.0.e.1, $\ldots$	$[]$
198.d4	198c1	198.d	198c	$4$	$6$	$ 2 \cdot 3^{2} \cdot 11 $	$ 2^{12} \cdot 3^{3} \cdot 11 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$132$	$96$	$1$	$1$	$1$	$5$	$32$	$-0.066515$	$1108717875/45056$	$0.99248$	$4.56148$	$[1, -1, 1, -65, 209]$	$y^2+xy+y=x^3-x^2-65x+209$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.i.1.8, 44.6.0.e.1, $\ldots$	$[]$
198.e1	198b3	198.e	198b	$4$	$6$	$ 2 \cdot 3^{2} \cdot 11 $	$ 2^{6} \cdot 3^{7} \cdot 11^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.4, 3.8.0.1	2B, 3B.1.1	$264$	$96$	$1$	$1$	$1$	$5$	$96$	$0.439229$	$57736239625/255552$	$0.99775$	$5.93216$	$[1, -1, 1, -725, 7661]$	$y^2+xy+y=x^3-x^2-725x+7661$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.d.1, 24.48.0-24.bx.1.15, $\ldots$	$[]$
198.e2	198b4	198.e	198b	$4$	$6$	$ 2 \cdot 3^{2} \cdot 11 $	$ - 2^{3} \cdot 3^{8} \cdot 11^{6} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.5, 3.8.0.1	2B, 3B.1.1	$264$	$96$	$1$	$1$	$1$	$4$	$192$	$0.785803$	$-7357983625/127552392$	$1.05287$	$6.19168$	$[1, -1, 1, -365, 15005]$	$y^2+xy+y=x^3-x^2-365x+15005$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.a.1, 24.48.0-24.p.1.15, $\ldots$	$[]$
210.b4	210b4	210.b	210b	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2^{2} \cdot 3^{3} \cdot 5^{12} \cdot 7 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	4.12.0.8, 3.8.0.1	2B, 3B.1.1	$840$	$384$	$5$	$1$	$1$	$4$	$384$	$0.952959$	$9150443179640281/184570312500$	$1.02214$	$6.87336$	$[1, 0, 1, -4358, -109132]$	$y^2+xy+y=x^3-4358x-109132$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.12.0-4.c.1.2, 6.24.0-6.a.1.4, 12.96.0-12.c.3.7, $\ldots$	$[]$
210.b7	210b1	210.b	210b	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.6, 3.8.0.1	2B, 3B.1.1	$840$	$384$	$5$	$1$	$1$	$5$	$96$	$0.259812$	$13619385906841/6048000$	$0.98997$	$5.65586$	$[1, 0, 1, -498, 4228]$	$y^2+xy+y=x^3-498x+4228$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.5, $\ldots$	$[]$
210.d2	210a4	210.d	210a	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2^{3} \cdot 3^{3} \cdot 5 \cdot 7^{4} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.8, 3.8.0.1	2B, 3B.1.1	$840$	$384$	$5$	$1$	$1$	$4$	$192$	$0.649720$	$21145699168383889/2593080$	$1.02503$	$7.03001$	$[1, 0, 0, -5761, 167825]$	$y^2+xy=x^3-5761x+167825$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.4, $\ldots$	$[]$

Next Download displayed columns for results to

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 6759 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 6759 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