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 (28 matches)

Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	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
8800.b1	8800ba1	8800.b	8800ba	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 11 $	$ - 2^{9} \cdot 5^{9} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1.763467913$	$1$		$2$	$24960$	$1.031246$	$-2628072/1331$	$0.87266$	$3.97839$	$[0, 0, 0, -2875, 81250]$	$y^2=x^3-2875x+81250$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(50, 250)]$
8800.c1	8800m1	8800.c	8800m	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 11 $	$ - 2^{9} \cdot 5^{3} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$0.357421589$	$1$		$6$	$4992$	$0.226527$	$-2628072/1331$	$0.87266$	$2.91517$	$[0, 0, 0, -115, -650]$	$y^2=x^3-115x-650$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(25, 110)]$
8800.z1	8800k1	8800.z	8800k	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 11 $	$ - 2^{9} \cdot 5^{3} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$1$		$0$	$4992$	$0.226527$	$-2628072/1331$	$0.87266$	$2.91517$	$[0, 0, 0, -115, 650]$	$y^2=x^3-115x+650$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
8800.ba1	8800bb1	8800.ba	8800bb	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 11 $	$ - 2^{9} \cdot 5^{9} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$1$		$0$	$24960$	$1.031246$	$-2628072/1331$	$0.87266$	$3.97839$	$[0, 0, 0, -2875, -81250]$	$y^2=x^3-2875x-81250$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
17600.a1	17600db1	17600.a	17600db	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 11 $	$ - 2^{15} \cdot 5^{9} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1.404156768$	$1$		$4$	$99840$	$1.377819$	$-2628072/1331$	$0.87266$	$4.12173$	$[0, 0, 0, -11500, -650000]$	$y^2=x^3-11500x-650000$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(150, 1000)]$
17600.b1	17600dl1	17600.b	17600dl	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 11 $	$ - 2^{15} \cdot 5^{3} \cdot 11^{3} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$0.142342887$	$1$		$26$	$19968$	$0.573101$	$-2628072/1331$	$0.87266$	$3.13391$	$[0, 0, 0, -460, 5200]$	$y^2=x^3-460x+5200$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(-6, 88), (10, 40)]$
17600.dk1	17600cz1	17600.dk	17600cz	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 11 $	$ - 2^{15} \cdot 5^{3} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$4.493025109$	$1$		$0$	$19968$	$0.573101$	$-2628072/1331$	$0.87266$	$3.13391$	$[0, 0, 0, -460, -5200]$	$y^2=x^3-460x-5200$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(280/3, 2780/3)]$
17600.dl1	17600dk1	17600.dl	17600dk	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 11 $	$ - 2^{15} \cdot 5^{9} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$1$		$0$	$99840$	$1.377819$	$-2628072/1331$	$0.87266$	$4.12173$	$[0, 0, 0, -11500, 650000]$	$y^2=x^3-11500x+650000$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
79200.o1	79200ce1	79200.o	79200ce	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 11 $	$ - 2^{9} \cdot 3^{6} \cdot 5^{9} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$2.093474719$	$1$		$2$	$349440$	$1.580553$	$-2628072/1331$	$0.87266$	$3.78780$	$[0, 0, 0, -25875, 2193750]$	$y^2=x^3-25875x+2193750$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(25, 1250)]$
79200.z1	79200er1	79200.z	79200er	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 11 $	$ - 2^{9} \cdot 3^{6} \cdot 5^{3} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$2.605911472$	$1$		$2$	$69888$	$0.775833$	$-2628072/1331$	$0.87266$	$2.93170$	$[0, 0, 0, -1035, -17550]$	$y^2=x^3-1035x-17550$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(130, 1430)]$
79200.dw1	79200ej1	79200.dw	79200ej	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 11 $	$ - 2^{9} \cdot 3^{6} \cdot 5^{3} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$1$		$0$	$69888$	$0.775833$	$-2628072/1331$	$0.87266$	$2.93170$	$[0, 0, 0, -1035, 17550]$	$y^2=x^3-1035x+17550$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
79200.dz1	79200ci1	79200.dz	79200ci	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 11 $	$ - 2^{9} \cdot 3^{6} \cdot 5^{9} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$1$		$0$	$349440$	$1.580553$	$-2628072/1331$	$0.87266$	$3.78780$	$[0, 0, 0, -25875, -2193750]$	$y^2=x^3-25875x-2193750$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
96800.a1	96800co1	96800.a	96800co	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 11^{2} $	$ - 2^{9} \cdot 5^{3} \cdot 11^{9} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$0.737107697$	$1$		$12$	$599040$	$1.425474$	$-2628072/1331$	$0.87266$	$3.55950$	$[0, 0, 0, -13915, 865150]$	$y^2=x^3-13915x+865150$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(209, 2662), (-55, 1210)]$
96800.b1	96800bh1	96800.b	96800bh	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 11^{2} $	$ - 2^{9} \cdot 5^{9} \cdot 11^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$7.006861139$	$1$		$0$	$2995200$	$2.230194$	$-2628072/1331$	$0.87266$	$4.40064$	$[0, 0, 0, -347875, -108143750]$	$y^2=x^3-347875x-108143750$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(132550/3, 48218500/3)]$
96800.cn1	96800cn1	96800.cn	96800cn	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 11^{2} $	$ - 2^{9} \cdot 5^{3} \cdot 11^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$9$	$3$	$0$	$599040$	$1.425474$	$-2628072/1331$	$0.87266$	$3.55950$	$[0, 0, 0, -13915, -865150]$	$y^2=x^3-13915x-865150$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
96800.co1	96800bg1	96800.co	96800bg	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 11^{2} $	$ - 2^{9} \cdot 5^{9} \cdot 11^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$3.770920418$	$1$		$0$	$2995200$	$2.230194$	$-2628072/1331$	$0.87266$	$4.40064$	$[0, 0, 0, -347875, 108143750]$	$y^2=x^3-347875x+108143750$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(4081/3, 178354/3)]$
158400.br1	158400h1	158400.br	158400h	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 $	$ - 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$1$		$0$	$279552$	$1.122408$	$-2628072/1331$	$0.87266$	$3.10933$	$[0, 0, 0, -4140, -140400]$	$y^2=x^3-4140x-140400$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
158400.cv1	158400f1	158400.cv	158400f	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 $	$ - 2^{15} \cdot 3^{6} \cdot 5^{9} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1.494611194$	$1$		$2$	$1397760$	$1.927126$	$-2628072/1331$	$0.87266$	$3.91587$	$[0, 0, 0, -103500, 17550000]$	$y^2=x^3-103500x+17550000$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(-200, 5500)]$
158400.mt1	158400bv1	158400.mt	158400bv	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 $	$ - 2^{15} \cdot 3^{6} \cdot 5^{9} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$4$	$2$	$0$	$1397760$	$1.927126$	$-2628072/1331$	$0.87266$	$3.91587$	$[0, 0, 0, -103500, -17550000]$	$y^2=x^3-103500x-17550000$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
158400.nc1	158400bs1	158400.nc	158400bs	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 $	$ - 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$0.508427495$	$1$		$4$	$279552$	$1.122408$	$-2628072/1331$	$0.87266$	$3.10933$	$[0, 0, 0, -4140, 140400]$	$y^2=x^3-4140x+140400$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(70, 440)]$
193600.n1	193600e1	193600.n	193600e	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 11^{2} $	$ - 2^{15} \cdot 5^{9} \cdot 11^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$1$		$0$	$11980800$	$2.576767$	$-2628072/1331$	$0.87266$	$4.49170$	$[0, 0, 0, -1391500, 865150000]$	$y^2=x^3-1391500x+865150000$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
193600.p1	193600f1	193600.p	193600f	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 11^{2} $	$ - 2^{15} \cdot 5^{3} \cdot 11^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$1$		$0$	$2396160$	$1.772049$	$-2628072/1331$	$0.87266$	$3.69846$	$[0, 0, 0, -55660, -6921200]$	$y^2=x^3-55660x-6921200$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
193600.jb1	193600fb1	193600.jb	193600fb	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 11^{2} $	$ - 2^{15} \cdot 5^{9} \cdot 11^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$1$		$0$	$11980800$	$2.576767$	$-2628072/1331$	$0.87266$	$4.49170$	$[0, 0, 0, -1391500, -865150000]$	$y^2=x^3-1391500x-865150000$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
193600.jd1	193600fc1	193600.jd	193600fc	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 11^{2} $	$ - 2^{15} \cdot 5^{3} \cdot 11^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$1$		$0$	$2396160$	$1.772049$	$-2628072/1331$	$0.87266$	$3.69846$	$[0, 0, 0, -55660, 6921200]$	$y^2=x^3-55660x+6921200$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
431200.a1	431200a1	431200.a	431200a	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{9} \cdot 5^{3} \cdot 7^{6} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$8.804055298$	$1$		$0$	$1647360$	$1.199482$	$-2628072/1331$	$0.87266$	$2.94062$	$[0, 0, 0, -5635, -222950]$	$y^2=x^3-5635x-222950$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(12630/7, 1348180/7)]$
431200.k1	431200k1	431200.k	431200k	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{9} \cdot 5^{9} \cdot 7^{6} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1.231455977$	$1$		$4$	$8236800$	$2.004200$	$-2628072/1331$	$0.87266$	$3.68491$	$[0, 0, 0, -140875, 27868750]$	$y^2=x^3-140875x+27868750$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[(225, 2750)]$
431200.fk1	431200fk1	431200.fk	431200fk	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{9} \cdot 5^{9} \cdot 7^{6} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$25$	$5$	$0$	$8236800$	$2.004200$	$-2628072/1331$	$0.87266$	$3.68491$	$[0, 0, 0, -140875, -27868750]$	$y^2=x^3-140875x-27868750$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$
431200.fl1	431200fl1	431200.fl	431200fl	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{9} \cdot 5^{3} \cdot 7^{6} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.3.0.1	3Nn	$1320$	$12$	$1$	$1$	$1$		$0$	$1647360$	$1.199482$	$-2628072/1331$	$0.87266$	$2.94062$	$[0, 0, 0, -5635, 222950]$	$y^2=x^3-5635x+222950$	3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.?	$[]$

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 (28 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 (28 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