Elliptic curve search results

Results (37 matches)

 

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	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
920.b1	920d1	920.b	920d	$1$	$1$	\( 2^{3} \cdot 5 \cdot 23 \)	\( - 2^{4} \cdot 5^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.187156914$	$1$		$6$	$64$	$-0.292289$	$-256/14375$	$0.99213$	$2.90145$	$[0, -1, 0, 0, -23]$	\(y^2=x^3-x^2-23\)	46.2.0.a.1	$[(4, 5)]$
1840.g1	1840d1	1840.g	1840d	$1$	$1$	\( 2^{4} \cdot 5 \cdot 23 \)	\( - 2^{4} \cdot 5^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.339478911$	$1$		$2$	$128$	$-0.292289$	$-256/14375$	$0.99213$	$2.63392$	$[0, 1, 0, 0, 23]$	\(y^2=x^3+x^2+23\)	46.2.0.a.1	$[(1, 5)]$
4600.j1	4600e1	4600.j	4600e	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$1536$	$0.512430$	$-256/14375$	$0.99213$	$3.49275$	$[0, 1, 0, -8, -2887]$	\(y^2=x^3+x^2-8x-2887\)	46.2.0.a.1	$[]$
7360.g1	7360r1	7360.g	7360r	$1$	$1$	\( 2^{6} \cdot 5 \cdot 23 \)	\( - 2^{10} \cdot 5^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.906003107$	$1$		$2$	$1024$	$0.054285$	$-256/14375$	$0.99213$	$2.69092$	$[0, -1, 0, -1, 185]$	\(y^2=x^3-x^2-x+185\)	46.2.0.a.1	$[(8, 25)]$
7360.t1	7360a1	7360.t	7360a	$1$	$1$	\( 2^{6} \cdot 5 \cdot 23 \)	\( - 2^{10} \cdot 5^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$2.218805815$	$1$		$2$	$1024$	$0.054285$	$-256/14375$	$0.99213$	$2.69092$	$[0, 1, 0, -1, -185]$	\(y^2=x^3+x^2-x-185\)	46.2.0.a.1	$[(42, 275)]$
8280.e1	8280h1	8280.e	8280h	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.653702497$	$1$		$4$	$1920$	$0.257017$	$-256/14375$	$0.99213$	$2.92545$	$[0, 0, 0, -3, 623]$	\(y^2=x^3-3x+623\)	46.2.0.a.1	$[(-1, 25)]$
9200.n1	9200a1	9200.n	9200a	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.592351330$	$1$		$2$	$3072$	$0.512430$	$-256/14375$	$0.99213$	$3.22749$	$[0, -1, 0, -8, 2887]$	\(y^2=x^3-x^2-8x+2887\)	46.2.0.a.1	$[(-13, 25)]$
16560.k1	16560j1	16560.k	16560j	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$3840$	$0.257017$	$-256/14375$	$0.99213$	$2.71672$	$[0, 0, 0, -3, -623]$	\(y^2=x^3-3x-623\)	46.2.0.a.1	$[]$
21160.b1	21160f1	21160.b	21160f	$1$	$1$	\( 2^{3} \cdot 5 \cdot 23^{2} \)	\( - 2^{4} \cdot 5^{4} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.379315264$	$1$		$6$	$33792$	$1.275457$	$-256/14375$	$0.99213$	$3.87691$	$[0, -1, 0, -176, 280801]$	\(y^2=x^3-x^2-176x+280801\)	46.2.0.a.1	$[(8, 529)]$
36800.bd1	36800v1	36800.bd	36800v	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( - 2^{10} \cdot 5^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$24576$	$0.859004$	$-256/14375$	$0.99213$	$3.19750$	$[0, -1, 0, -33, -23063]$	\(y^2=x^3-x^2-33x-23063\)	46.2.0.a.1	$[]$
36800.cq1	36800ca1	36800.cq	36800ca	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( - 2^{10} \cdot 5^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$24576$	$0.859004$	$-256/14375$	$0.99213$	$3.19750$	$[0, 1, 0, -33, 23063]$	\(y^2=x^3+x^2-33x+23063\)	46.2.0.a.1	$[]$
41400.bc1	41400bk1	41400.bc	41400bk	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$2.278124571$	$1$		$2$	$46080$	$1.061737$	$-256/14375$	$0.99213$	$3.39091$	$[0, 0, 0, -75, 77875]$	\(y^2=x^3-75x+77875\)	46.2.0.a.1	$[(-15, 275)]$
42320.v1	42320d1	42320.v	42320d	$1$	$1$	\( 2^{4} \cdot 5 \cdot 23^{2} \)	\( - 2^{4} \cdot 5^{4} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$67584$	$1.275457$	$-256/14375$	$0.99213$	$3.62466$	$[0, 1, 0, -176, -280801]$	\(y^2=x^3+x^2-176x-280801\)	46.2.0.a.1	$[]$
45080.w1	45080t1	45080.w	45080t	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{4} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.944379817$	$1$		$4$	$24576$	$0.680666$	$-256/14375$	$0.99213$	$2.93724$	$[0, 1, 0, -16, 7909]$	\(y^2=x^3+x^2-16x+7909\)	46.2.0.a.1	$[(114, 1225)]$
66240.eq1	66240fk1	66240.eq	66240fk	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$30720$	$0.603591$	$-256/14375$	$0.99213$	$2.75210$	$[0, 0, 0, -12, -4984]$	\(y^2=x^3-12x-4984\)	46.2.0.a.1	$[]$
66240.ev1	66240cu1	66240.ev	66240cu	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$30720$	$0.603591$	$-256/14375$	$0.99213$	$2.75210$	$[0, 0, 0, -12, 4984]$	\(y^2=x^3-12x+4984\)	46.2.0.a.1	$[]$
82800.di1	82800bf1	82800.di	82800bf	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$10.09473190$	$1$		$0$	$92160$	$1.061737$	$-256/14375$	$0.99213$	$3.18335$	$[0, 0, 0, -75, -77875]$	\(y^2=x^3-75x-77875\)	46.2.0.a.1	$[(74140/39, 10983725/39)]$
90160.ba1	90160r1	90160.ba	90160r	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{4} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$2.231889017$	$1$		$0$	$49152$	$0.680666$	$-256/14375$	$0.99213$	$2.75879$	$[0, -1, 0, -16, -7909]$	\(y^2=x^3-x^2-16x-7909\)	46.2.0.a.1	$[(199/3, 1225/3)]$
105800.y1	105800a1	105800.y	105800a	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 23^{2} \)	\( - 2^{4} \cdot 5^{10} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$811008$	$2.080177$	$-256/14375$	$0.99213$	$4.17226$	$[0, 1, 0, -4408, 35091313]$	\(y^2=x^3+x^2-4408x+35091313\)	46.2.0.a.1	$[]$
111320.i1	111320j1	111320.i	111320j	$1$	$1$	\( 2^{3} \cdot 5 \cdot 11^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{4} \cdot 11^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.574861477$	$1$		$4$	$89600$	$0.906659$	$-256/14375$	$0.99213$	$2.94212$	$[0, -1, 0, -40, 30725]$	\(y^2=x^3-x^2-40x+30725\)	46.2.0.a.1	$[(70, 605)]$
155480.e1	155480k1	155480.e	155480k	$1$	$1$	\( 2^{3} \cdot 5 \cdot 13^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{4} \cdot 13^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$2.213543558$	$1$		$4$	$131328$	$0.990186$	$-256/14375$	$0.99213$	$2.94374$	$[0, -1, 0, -56, -50675]$	\(y^2=x^3-x^2-56x-50675\)	46.2.0.a.1	$[(38, 25)]$
169280.bf1	169280k1	169280.bf	169280k	$1$	$1$	\( 2^{6} \cdot 5 \cdot 23^{2} \)	\( - 2^{10} \cdot 5^{4} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$540672$	$1.622032$	$-256/14375$	$0.99213$	$3.55273$	$[0, -1, 0, -705, -2245703]$	\(y^2=x^3-x^2-705x-2245703\)	46.2.0.a.1	$[]$
169280.cj1	169280co1	169280.cj	169280co	$1$	$1$	\( 2^{6} \cdot 5 \cdot 23^{2} \)	\( - 2^{10} \cdot 5^{4} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.829663942$	$1$		$0$	$540672$	$1.622032$	$-256/14375$	$0.99213$	$3.55273$	$[0, 1, 0, -705, 2245703]$	\(y^2=x^3+x^2-705x+2245703\)	46.2.0.a.1	$[(589/2, 18515/2)]$
190440.bm1	190440bc1	190440.bm	190440bc	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$1013760$	$1.824764$	$-256/14375$	$0.99213$	$3.71842$	$[0, 0, 0, -1587, -7580041]$	\(y^2=x^3-1587x-7580041\)	46.2.0.a.1	$[]$
211600.bh1	211600de1	211600.bh	211600de	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23^{2} \)	\( - 2^{4} \cdot 5^{10} \cdot 23^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$11.35470155$	$1$		$4$	$1622016$	$2.080177$	$-256/14375$	$0.99213$	$3.93642$	$[0, -1, 0, -4408, -35091313]$	\(y^2=x^3-x^2-4408x-35091313\)	46.2.0.a.1	$[(491, 8993), (23653/2, 3636875/2)]$
222640.cn1	222640de1	222640.cn	222640de	$1$	$1$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{4} \cdot 11^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$179200$	$0.906659$	$-256/14375$	$0.99213$	$2.77650$	$[0, 1, 0, -40, -30725]$	\(y^2=x^3+x^2-40x-30725\)	46.2.0.a.1	$[]$
225400.be1	225400bz1	225400.be	225400bz	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{10} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.288894054$	$1$		$4$	$589824$	$1.485386$	$-256/14375$	$0.99213$	$3.33716$	$[0, -1, 0, -408, 989437]$	\(y^2=x^3-x^2-408x+989437\)	46.2.0.a.1	$[(82, 1225)]$
265880.r1	265880r1	265880.r	265880r	$1$	$1$	\( 2^{3} \cdot 5 \cdot 17^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{4} \cdot 17^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.913722406$	$1$		$2$	$315392$	$1.124317$	$-256/14375$	$0.99213$	$2.94616$	$[0, 1, 0, -96, -113395]$	\(y^2=x^3+x^2-96x-113395\)	46.2.0.a.1	$[(130, 1445)]$
310960.cc1	310960cc1	310960.cc	310960cc	$1$	$1$	\( 2^{4} \cdot 5 \cdot 13^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{4} \cdot 13^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$262656$	$0.990186$	$-256/14375$	$0.99213$	$2.78241$	$[0, 1, 0, -56, 50675]$	\(y^2=x^3+x^2-56x+50675\)	46.2.0.a.1	$[]$
331200.hz1	331200hz1	331200.hz	331200hz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$737280$	$1.408310$	$-256/14375$	$0.99213$	$3.16335$	$[0, 0, 0, -300, -623000]$	\(y^2=x^3-300x-623000\)	46.2.0.a.1	$[]$
331200.iy1	331200iy1	331200.iy	331200iy	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$737280$	$1.408310$	$-256/14375$	$0.99213$	$3.16335$	$[0, 0, 0, -300, 623000]$	\(y^2=x^3-300x+623000\)	46.2.0.a.1	$[]$
332120.l1	332120l1	332120.l	332120l	$1$	$1$	\( 2^{3} \cdot 5 \cdot 19^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{4} \cdot 19^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.202809720$	$1$		$4$	$456192$	$1.179930$	$-256/14375$	$0.99213$	$2.94710$	$[0, 1, 0, -120, 158225]$	\(y^2=x^3+x^2-120x+158225\)	46.2.0.a.1	$[(-32, 361)]$
360640.cv1	360640cv1	360640.cv	360640cv	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 5^{4} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.017369729$	$1$		$2$	$393216$	$1.027239$	$-256/14375$	$0.99213$	$2.78493$	$[0, -1, 0, -65, 63337]$	\(y^2=x^3-x^2-65x+63337\)	46.2.0.a.1	$[(-16, 245)]$
360640.gk1	360640gk1	360640.gk	360640gk	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 5^{4} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$3.634313486$	$1$		$0$	$393216$	$1.027239$	$-256/14375$	$0.99213$	$2.78493$	$[0, 1, 0, -65, -63337]$	\(y^2=x^3+x^2-65x-63337\)	46.2.0.a.1	$[(634/3, 14455/3)]$
380880.fd1	380880fd1	380880.fd	380880fd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 23^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$3.286562681$	$1$		$4$	$2027520$	$1.824764$	$-256/14375$	$0.99213$	$3.51785$	$[0, 0, 0, -1587, 7580041]$	\(y^2=x^3-1587x+7580041\)	46.2.0.a.1	$[(552, 13225), (897/4, 177215/4)]$
405720.et1	405720et1	405720.et	405720et	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.734542125$	$1$		$2$	$737280$	$1.229973$	$-256/14375$	$0.99213$	$2.94792$	$[0, 0, 0, -147, -213689]$	\(y^2=x^3-147x-213689\)	46.2.0.a.1	$[(147, 1715)]$
450800.ek1	450800ek1	450800.ek	450800ek	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{10} \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$1179648$	$1.485386$	$-256/14375$	$0.99213$	$3.15949$	$[0, 1, 0, -408, -989437]$	\(y^2=x^3+x^2-408x-989437\)	46.2.0.a.1	$[]$