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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Results (24 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	Semistable	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
786.l1	786l1	786.l	786l	$1$	$1$	$ 2 \cdot 3 \cdot 131 $	$ 2^{7} \cdot 3^{5} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3144$	$2$	$0$	$0.039064083$	$1$	$14$	$280$	$-0.038663$	$8205738913/4074624$	$0.92368$	$3.42407$	$[1, 0, 0, -42, 36]$	$y^2+xy=x^3-42x+36$	3144.2.0.?	$[(0, 6)]$
2358.j1	2358j1	2358.j	2358j	$1$	$1$	$ 2 \cdot 3^{2} \cdot 131 $	$ 2^{7} \cdot 3^{11} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$0.577315380$	$1$	$6$	$2240$	$0.510643$	$8205738913/4074624$	$0.92368$	$3.78849$	$[1, -1, 0, -378, -972]$	$y^2+xy=x^3-x^2-378x-972$	3144.2.0.?	$[(-9, 45)]$
6288.b1	6288h1	6288.b	6288h	$1$	$1$	$ 2^{4} \cdot 3 \cdot 131 $	$ 2^{19} \cdot 3^{5} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$0.785749998$	$1$	$4$	$6720$	$0.654485$	$8205738913/4074624$	$0.92368$	$3.56099$	$[0, -1, 0, -672, -2304]$	$y^2=x^3-x^2-672x-2304$	3144.2.0.?	$[(-16, 64)]$
18864.bh1	18864w1	18864.bh	18864w	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 131 $	$ 2^{19} \cdot 3^{11} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$2.560683545$	$1$	$2$	$53760$	$1.203791$	$8205738913/4074624$	$0.92368$	$3.83316$	$[0, 0, 0, -6051, 68258]$	$y^2=x^3-6051x+68258$	3144.2.0.?	$[(7, 162)]$
19650.i1	19650c1	19650.i	19650c	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 131 $	$ 2^{7} \cdot 3^{5} \cdot 5^{6} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$3.533144495$	$1$	$2$	$30240$	$0.766056$	$8205738913/4074624$	$0.92368$	$3.28599$	$[1, 1, 0, -1050, 4500]$	$y^2+xy=x^3+x^2-1050x+4500$	3144.2.0.?	$[(-1, 75)]$
25152.t1	25152g1	25152.t	25152g	$1$	$1$	$ 2^{6} \cdot 3 \cdot 131 $	$ 2^{25} \cdot 3^{5} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1$	$1$	$0$	$53760$	$1.001059$	$8205738913/4074624$	$0.92368$	$3.48424$	$[0, -1, 0, -2689, 21121]$	$y^2=x^3-x^2-2689x+21121$	3144.2.0.?	$[]$
25152.bq1	25152bj1	25152.bq	25152bj	$1$	$1$	$ 2^{6} \cdot 3 \cdot 131 $	$ 2^{25} \cdot 3^{5} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$0.623935736$	$1$	$4$	$53760$	$1.001059$	$8205738913/4074624$	$0.92368$	$3.48424$	$[0, 1, 0, -2689, -21121]$	$y^2=x^3+x^2-2689x-21121$	3144.2.0.?	$[(95, 768)]$
38514.bc1	38514bb1	38514.bc	38514bb	$1$	$1$	$ 2 \cdot 3 \cdot 7^{2} \cdot 131 $	$ 2^{7} \cdot 3^{5} \cdot 7^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1$	$1$	$0$	$92400$	$0.934293$	$8205738913/4074624$	$0.92368$	$3.26776$	$[1, 1, 1, -2059, -14407]$	$y^2+xy+y=x^3+x^2-2059x-14407$	3144.2.0.?	$[]$
58950.cg1	58950ca1	58950.cg	58950ca	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 $	$ 2^{7} \cdot 3^{11} \cdot 5^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1$	$1$	$0$	$241920$	$1.315363$	$8205738913/4074624$	$0.92368$	$3.55743$	$[1, -1, 1, -9455, -130953]$	$y^2+xy+y=x^3-x^2-9455x-130953$	3144.2.0.?	$[]$
75456.e1	75456t1	75456.e	75456t	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 131 $	$ 2^{25} \cdot 3^{11} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1$	$1$	$0$	$430080$	$1.550364$	$8205738913/4074624$	$0.92368$	$3.73033$	$[0, 0, 0, -24204, -546064]$	$y^2=x^3-24204x-546064$	3144.2.0.?	$[]$
75456.f1	75456dj1	75456.f	75456dj	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 131 $	$ 2^{25} \cdot 3^{11} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1$	$1$	$0$	$430080$	$1.550364$	$8205738913/4074624$	$0.92368$	$3.73033$	$[0, 0, 0, -24204, 546064]$	$y^2=x^3-24204x+546064$	3144.2.0.?	$[]$
95106.h1	95106l1	95106.h	95106l	$1$	$1$	$ 2 \cdot 3 \cdot 11^{2} \cdot 131 $	$ 2^{7} \cdot 3^{5} \cdot 11^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1$	$1$	$0$	$333200$	$1.160284$	$8205738913/4074624$	$0.92368$	$3.24664$	$[1, 0, 1, -5085, -53000]$	$y^2+xy+y=x^3-5085x-53000$	3144.2.0.?	$[]$
102966.f1	102966l1	102966.f	102966l	$1$	$1$	$ 2 \cdot 3 \cdot 131^{2} $	$ 2^{7} \cdot 3^{5} \cdot 131^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$0.394862939$	$1$	$6$	$4804800$	$2.398937$	$8205738913/4074624$	$0.92368$	$4.51209$	$[1, 0, 1, -721120, -88862290]$	$y^2+xy+y=x^3-721120x-88862290$	3144.2.0.?	$[(1168, 25157)]$
115542.b1	115542r1	115542.b	115542r	$1$	$1$	$ 2 \cdot 3^{2} \cdot 7^{2} \cdot 131 $	$ 2^{7} \cdot 3^{11} \cdot 7^{6} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$4.216523218$	$1$	$2$	$739200$	$1.483599$	$8205738913/4074624$	$0.92368$	$3.52525$	$[1, -1, 0, -18531, 370453]$	$y^2+xy=x^3-x^2-18531x+370453$	3144.2.0.?	$[(-127, 878)]$
132834.l1	132834x1	132834.l	132834x	$1$	$1$	$ 2 \cdot 3 \cdot 13^{2} \cdot 131 $	$ 2^{7} \cdot 3^{5} \cdot 13^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1$	$1$	$0$	$537600$	$1.243813$	$8205738913/4074624$	$0.92368$	$3.23966$	$[1, 0, 1, -7102, 86192]$	$y^2+xy+y=x^3-7102x+86192$	3144.2.0.?	$[]$
157200.bw1	157200m1	157200.bw	157200m	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 131 $	$ 2^{19} \cdot 3^{5} \cdot 5^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1$	$1$	$0$	$725760$	$1.459204$	$8205738913/4074624$	$0.92368$	$3.41008$	$[0, 1, 0, -16808, -321612]$	$y^2=x^3+x^2-16808x-321612$	3144.2.0.?	$[]$
227154.p1	227154l1	227154.p	227154l	$1$	$1$	$ 2 \cdot 3 \cdot 17^{2} \cdot 131 $	$ 2^{7} \cdot 3^{5} \cdot 17^{6} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$3.995198484$	$1$	$2$	$1447040$	$1.377943$	$8205738913/4074624$	$0.92368$	$3.22923$	$[1, 1, 1, -12144, 189009]$	$y^2+xy+y=x^3+x^2-12144x+189009$	3144.2.0.?	$[(-63, 873)]$
283746.b1	283746b1	283746.b	283746b	$1$	$1$	$ 2 \cdot 3 \cdot 19^{2} \cdot 131 $	$ 2^{7} \cdot 3^{5} \cdot 19^{6} \cdot 131 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$3.381165063$	$1$	$8$	$1935360$	$1.433558$	$8205738913/4074624$	$0.92368$	$3.22517$	$[1, 1, 0, -15169, -277259]$	$y^2+xy=x^3+x^2-15169x-277259$	3144.2.0.?	$[(-21, 191), (-97, 590)]$
285318.bo1	285318bo1	285318.bo	285318bo	$1$	$1$	$ 2 \cdot 3^{2} \cdot 11^{2} \cdot 131 $	$ 2^{7} \cdot 3^{11} \cdot 11^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1$	$1$	$0$	$2665600$	$1.709591$	$8205738913/4074624$	$0.92368$	$3.48745$	$[1, -1, 1, -45761, 1430993]$	$y^2+xy+y=x^3-x^2-45761x+1430993$	3144.2.0.?	$[]$
308112.cl1	308112cl1	308112.cl	308112cl	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 131 $	$ 2^{19} \cdot 3^{5} \cdot 7^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1$	$1$	$0$	$2217600$	$1.627439$	$8205738913/4074624$	$0.92368$	$3.38824$	$[0, 1, 0, -32944, 856148]$	$y^2=x^3+x^2-32944x+856148$	3144.2.0.?	$[]$
308898.bu1	308898bu1	308898.bu	308898bu	$1$	$1$	$ 2 \cdot 3^{2} \cdot 131^{2} $	$ 2^{7} \cdot 3^{11} \cdot 131^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1$	$1$	$0$	$38438400$	$2.948242$	$8205738913/4074624$	$0.92368$	$4.64141$	$[1, -1, 1, -6490076, 2399281823]$	$y^2+xy+y=x^3-x^2-6490076x+2399281823$	3144.2.0.?	$[]$
398502.bd1	398502bd1	398502.bd	398502bd	$1$	$1$	$ 2 \cdot 3^{2} \cdot 13^{2} \cdot 131 $	$ 2^{7} \cdot 3^{11} \cdot 13^{6} \cdot 131 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1.183728413$	$1$	$14$	$4300800$	$1.793118$	$8205738913/4074624$	$0.92368$	$3.47482$	$[1, -1, 1, -63914, -2327191]$	$y^2+xy+y=x^3-x^2-63914x-2327191$	3144.2.0.?	$[(933, 26911), (-81, 1561)]$
415794.bm1	415794bm1	415794.bm	415794bm	$1$	$1$	$ 2 \cdot 3 \cdot 23^{2} \cdot 131 $	$ 2^{7} \cdot 3^{5} \cdot 23^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1$	$1$	$0$	$3246320$	$1.529085$	$8205738913/4074624$	$0.92368$	$3.21852$	$[1, 0, 0, -22229, -482463]$	$y^2+xy=x^3-22229x-482463$	3144.2.0.?	$[]$
471600.bb1	471600bb1	471600.bb	471600bb	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 $	$ 2^{19} \cdot 3^{11} \cdot 5^{6} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3144$	$2$	$0$	$1.096897896$	$1$	$4$	$5806080$	$2.008511$	$8205738913/4074624$	$0.92368$	$3.62788$	$[0, 0, 0, -151275, 8532250]$	$y^2=x^3-151275x+8532250$	3144.2.0.?	$[(-139, 5184)]$

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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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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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