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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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Results (30 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	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
1696.c1	1696e1	1696.c	1696e	$1$	$1$	$ 2^{5} \cdot 53 $	$ - 2^{12} \cdot 53 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$0.303954362$	$1$		$20$	$256$	$-0.286899$	$85184/53$	$0.74377$	$2.64527$	$[0, -1, 0, 15, 1]$	$y^2=x^3-x^2+15x+1$	212.2.0.?	$[(1, 4), (9, 28)]$
1696.d1	1696a1	1696.d	1696a	$1$	$1$	$ 2^{5} \cdot 53 $	$ - 2^{12} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$0.801789868$	$1$		$2$	$256$	$-0.286899$	$85184/53$	$0.74377$	$2.64527$	$[0, 1, 0, 15, -1]$	$y^2=x^3+x^2+15x-1$	212.2.0.?	$[(1, 4)]$
3392.j1	3392h1	3392.j	3392h	$1$	$1$	$ 2^{6} \cdot 53 $	$ - 2^{6} \cdot 53 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1$	$1$		$0$	$256$	$-0.633472$	$85184/53$	$0.74377$	$1.90812$	$[0, -1, 0, 4, -2]$	$y^2=x^3-x^2+4x-2$	212.2.0.?	$[]$
3392.m1	3392f1	3392.m	3392f	$1$	$1$	$ 2^{6} \cdot 53 $	$ - 2^{6} \cdot 53 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1$	$1$		$0$	$256$	$-0.633472$	$85184/53$	$0.74377$	$1.90812$	$[0, 1, 0, 4, 2]$	$y^2=x^3+x^2+4x+2$	212.2.0.?	$[]$
15264.o1	15264f1	15264.o	15264f	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 53 $	$ - 2^{12} \cdot 3^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$2.643244022$	$1$		$2$	$7680$	$0.262408$	$85184/53$	$0.74377$	$2.72618$	$[0, 0, 0, 132, -160]$	$y^2=x^3+132x-160$	212.2.0.?	$[(5, 25)]$
15264.p1	15264p1	15264.p	15264p	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 53 $	$ - 2^{12} \cdot 3^{6} \cdot 53 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1$	$1$		$0$	$7680$	$0.262408$	$85184/53$	$0.74377$	$2.72618$	$[0, 0, 0, 132, 160]$	$y^2=x^3+132x+160$	212.2.0.?	$[]$
30528.a1	30528p1	30528.a	30528p	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 53 $	$ - 2^{6} \cdot 3^{6} \cdot 53 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1$	$1$		$0$	$7680$	$-0.084166$	$85184/53$	$0.74377$	$2.14045$	$[0, 0, 0, 33, -20]$	$y^2=x^3+33x-20$	212.2.0.?	$[]$
30528.d1	30528o1	30528.d	30528o	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 53 $	$ - 2^{6} \cdot 3^{6} \cdot 53 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1$	$1$		$0$	$7680$	$-0.084166$	$85184/53$	$0.74377$	$2.14045$	$[0, 0, 0, 33, 20]$	$y^2=x^3+33x+20$	212.2.0.?	$[]$
42400.d1	42400k1	42400.d	42400k	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 53 $	$ - 2^{12} \cdot 5^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$0.573525539$	$1$		$4$	$20480$	$0.517820$	$85184/53$	$0.74377$	$2.75244$	$[0, -1, 0, 367, -863]$	$y^2=x^3-x^2+367x-863$	212.2.0.?	$[(17, 100)]$
42400.k1	42400b1	42400.k	42400b	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 53 $	$ - 2^{12} \cdot 5^{6} \cdot 53 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1$	$1$		$0$	$20480$	$0.517820$	$85184/53$	$0.74377$	$2.75244$	$[0, 1, 0, 367, 863]$	$y^2=x^3+x^2+367x+863$	212.2.0.?	$[]$
83104.f1	83104a1	83104.f	83104a	$1$	$1$	$ 2^{5} \cdot 7^{2} \cdot 53 $	$ - 2^{12} \cdot 7^{6} \cdot 53 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1$	$1$		$0$	$73728$	$0.686056$	$85184/53$	$0.74377$	$2.76714$	$[0, -1, 0, 719, 1793]$	$y^2=x^3-x^2+719x+1793$	212.2.0.?	$[]$
83104.i1	83104j1	83104.i	83104j	$1$	$1$	$ 2^{5} \cdot 7^{2} \cdot 53 $	$ - 2^{12} \cdot 7^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$2.102583462$	$1$		$2$	$73728$	$0.686056$	$85184/53$	$0.74377$	$2.76714$	$[0, 1, 0, 719, -1793]$	$y^2=x^3+x^2+719x-1793$	212.2.0.?	$[(3, 20)]$
84800.bc1	84800e1	84800.bc	84800e	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 53 $	$ - 2^{6} \cdot 5^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$2.661187223$	$1$		$2$	$20480$	$0.171247$	$85184/53$	$0.74377$	$2.21783$	$[0, -1, 0, 92, 62]$	$y^2=x^3-x^2+92x+62$	212.2.0.?	$[(67, 550)]$
84800.bp1	84800c1	84800.bp	84800c	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 53 $	$ - 2^{6} \cdot 5^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$2.038140459$	$1$		$2$	$20480$	$0.171247$	$85184/53$	$0.74377$	$2.21783$	$[0, 1, 0, 92, -62]$	$y^2=x^3+x^2+92x-62$	212.2.0.?	$[(33, 200)]$
89888.e1	89888h1	89888.e	89888h	$1$	$1$	$ 2^{5} \cdot 53^{2} $	$ - 2^{12} \cdot 53^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1$	$1$		$0$	$718848$	$1.698248$	$85184/53$	$0.74377$	$3.81298$	$[0, -1, 0, 41199, -895967]$	$y^2=x^3-x^2+41199x-895967$	212.2.0.?	$[]$
89888.j1	89888b1	89888.j	89888b	$1$	$1$	$ 2^{5} \cdot 53^{2} $	$ - 2^{12} \cdot 53^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$8.016737017$	$1$		$0$	$718848$	$1.698248$	$85184/53$	$0.74377$	$3.81298$	$[0, 1, 0, 41199, 895967]$	$y^2=x^3+x^2+41199x+895967$	212.2.0.?	$[(9562/27, 23609645/27)]$
166208.bc1	166208cp1	166208.bc	166208cp	$1$	$1$	$ 2^{6} \cdot 7^{2} \cdot 53 $	$ - 2^{6} \cdot 7^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1.349392179$	$1$		$2$	$73728$	$0.339483$	$85184/53$	$0.74377$	$2.26162$	$[0, -1, 0, 180, -314]$	$y^2=x^3-x^2+180x-314$	212.2.0.?	$[(19, 98)]$
166208.cw1	166208dm1	166208.cw	166208dm	$1$	$1$	$ 2^{6} \cdot 7^{2} \cdot 53 $	$ - 2^{6} \cdot 7^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$3.002662778$	$1$		$0$	$73728$	$0.339483$	$85184/53$	$0.74377$	$2.26162$	$[0, 1, 0, 180, 314]$	$y^2=x^3+x^2+180x+314$	212.2.0.?	$[(25/3, 784/3)]$
179776.i1	179776w1	179776.i	179776w	$1$	$1$	$ 2^{6} \cdot 53^{2} $	$ - 2^{6} \cdot 53^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1.344018281$	$1$		$2$	$718848$	$1.351673$	$85184/53$	$0.74377$	$3.25082$	$[0, -1, 0, 10300, 106846]$	$y^2=x^3-x^2+10300x+106846$	212.2.0.?	$[(495, 11236)]$
179776.x1	179776be1	179776.x	179776be	$1$	$1$	$ 2^{6} \cdot 53^{2} $	$ - 2^{6} \cdot 53^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$5.965432577$	$1$		$2$	$718848$	$1.351673$	$85184/53$	$0.74377$	$3.25082$	$[0, 1, 0, 10300, -106846]$	$y^2=x^3+x^2+10300x-106846$	212.2.0.?	$[(55685, 13140502)]$
205216.e1	205216o1	205216.e	205216o	$1$	$1$	$ 2^{5} \cdot 11^{2} \cdot 53 $	$ - 2^{12} \cdot 11^{6} \cdot 53 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1$	$1$		$0$	$368640$	$0.912049$	$85184/53$	$0.74377$	$2.78435$	$[0, -1, 0, 1775, -8479]$	$y^2=x^3-x^2+1775x-8479$	212.2.0.?	$[]$
205216.l1	205216f1	205216.l	205216f	$1$	$1$	$ 2^{5} \cdot 11^{2} \cdot 53 $	$ - 2^{12} \cdot 11^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$0.769637864$	$1$		$4$	$368640$	$0.912049$	$85184/53$	$0.74377$	$2.78435$	$[0, 1, 0, 1775, 8479]$	$y^2=x^3+x^2+1775x+8479$	212.2.0.?	$[(51, 484)]$
286624.i1	286624i1	286624.i	286624i	$1$	$1$	$ 2^{5} \cdot 13^{2} \cdot 53 $	$ - 2^{12} \cdot 13^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$10.41986353$	$1$		$0$	$574464$	$0.995576$	$85184/53$	$0.74377$	$2.79009$	$[0, -1, 0, 2479, 12193]$	$y^2=x^3-x^2+2479x+12193$	212.2.0.?	$[(28928/13, 5115995/13)]$
286624.m1	286624m1	286624.m	286624m	$1$	$1$	$ 2^{5} \cdot 13^{2} \cdot 53 $	$ - 2^{12} \cdot 13^{6} \cdot 53 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1$	$1$		$0$	$574464$	$0.995576$	$85184/53$	$0.74377$	$2.79009$	$[0, 1, 0, 2479, -12193]$	$y^2=x^3+x^2+2479x-12193$	212.2.0.?	$[]$
381600.p1	381600p1	381600.p	381600p	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 53 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 53 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1$	$1$		$0$	$614400$	$1.067127$	$85184/53$	$0.74377$	$2.79476$	$[0, 0, 0, 3300, 20000]$	$y^2=x^3+3300x+20000$	212.2.0.?	$[]$
381600.fe1	381600fe1	381600.fe	381600fe	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 53 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$2.853952168$	$1$		$4$	$614400$	$1.067127$	$85184/53$	$0.74377$	$2.79476$	$[0, 0, 0, 3300, -20000]$	$y^2=x^3+3300x-20000$	212.2.0.?	$[(6, 4)]$
410432.bk1	410432bk1	410432.bk	410432bk	$1$	$1$	$ 2^{6} \cdot 11^{2} \cdot 53 $	$ - 2^{6} \cdot 11^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$4.609895636$	$1$		$0$	$368640$	$0.565475$	$85184/53$	$0.74377$	$2.31326$	$[0, -1, 0, 444, 838]$	$y^2=x^3-x^2+444x+838$	212.2.0.?	$[(771/5, 25894/5)]$
410432.ck1	410432ck1	410432.ck	410432ck	$1$	$1$	$ 2^{6} \cdot 11^{2} \cdot 53 $	$ - 2^{6} \cdot 11^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$10.67454869$	$1$		$0$	$368640$	$0.565475$	$85184/53$	$0.74377$	$2.31326$	$[0, 1, 0, 444, -838]$	$y^2=x^3+x^2+444x-838$	212.2.0.?	$[(83881/145, 97020704/145)]$
490144.j1	490144j1	490144.j	490144j	$1$	$1$	$ 2^{5} \cdot 17^{2} \cdot 53 $	$ - 2^{12} \cdot 17^{6} \cdot 53 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$9.388585125$	$1$		$0$	$1290240$	$1.129707$	$85184/53$	$0.74377$	$2.79868$	$[0, -1, 0, 4239, -30527]$	$y^2=x^3-x^2+4239x-30527$	212.2.0.?	$[(2607/19, 138860/19)]$
490144.t1	490144t1	490144.t	490144t	$1$	$1$	$ 2^{5} \cdot 17^{2} \cdot 53 $	$ - 2^{12} \cdot 17^{6} \cdot 53 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$212$	$2$	$0$	$1$	$4$	$2$	$0$	$1290240$	$1.129707$	$85184/53$	$0.74377$	$2.79868$	$[0, 1, 0, 4239, 30527]$	$y^2=x^3+x^2+4239x+30527$	212.2.0.?	$[]$

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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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