Elliptic curve search results

Results (31 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
1155.i1	1155k1	1155.i	1155k	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 3^{7} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2310$	$2$	$0$	$0.066101914$	$1$		$10$	$784$	$0.629956$	$17869652393984/13156171875$	$0.98585$	$4.32711$	$[0, 1, 1, 545, 2734]$	\(y^2+y=x^3+x^2+545x+2734\)	2310.2.0.?	$[(26, 187)]$
3465.h1	3465g1	3465.h	3465g	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 3^{13} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$3.207092480$	$1$		$2$	$6272$	$1.179262$	$17869652393984/13156171875$	$0.98585$	$4.55260$	$[0, 0, 1, 4902, -68922]$	\(y^2+y=x^3+4902x-68922\)	2310.2.0.?	$[(14, 49)]$
5775.m1	5775h1	5775.m	5775h	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 3^{7} \cdot 5^{13} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$18816$	$1.434675$	$17869652393984/13156171875$	$0.98585$	$4.63796$	$[0, -1, 1, 13617, 314543]$	\(y^2+y=x^3-x^2+13617x+314543\)	2310.2.0.?	$[]$
8085.k1	8085d1	8085.k	8085d	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 3^{7} \cdot 5^{7} \cdot 7^{7} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$37632$	$1.602911$	$17869652393984/13156171875$	$0.98585$	$4.68890$	$[0, -1, 1, 26689, -884458]$	\(y^2+y=x^3-x^2+26689x-884458\)	2310.2.0.?	$[]$
12705.j1	12705q1	12705.j	12705q	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{7} \cdot 7 \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$0.260187376$	$1$		$8$	$94080$	$1.828905$	$17869652393984/13156171875$	$0.98585$	$4.75161$	$[0, 1, 1, 65905, -3375619]$	\(y^2+y=x^3+x^2+65905x-3375619\)	2310.2.0.?	$[(535, 13612)]$
17325.bc1	17325bf1	17325.bc	17325bf	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 3^{13} \cdot 5^{13} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$150528$	$1.983982$	$17869652393984/13156171875$	$0.98585$	$4.79128$	$[0, 0, 1, 122550, -8615219]$	\(y^2+y=x^3+122550x-8615219\)	2310.2.0.?	$[]$
18480.bq1	18480ck1	18480.bq	18480ck	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1.840631697$	$1$		$2$	$56448$	$1.323103$	$17869652393984/13156171875$	$0.98585$	$3.95258$	$[0, -1, 0, 8715, -166275]$	\(y^2=x^3-x^2+8715x-166275\)	2310.2.0.?	$[(20, 125)]$
24255.bk1	24255br1	24255.bk	24255br	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 3^{13} \cdot 5^{7} \cdot 7^{7} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$0.245872197$	$1$		$6$	$301056$	$2.152218$	$17869652393984/13156171875$	$0.98585$	$4.83156$	$[0, 0, 1, 240198, 23640160]$	\(y^2+y=x^3+240198x+23640160\)	2310.2.0.?	$[(868, 29767)]$
38115.p1	38115r1	38115.p	38115r	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 3^{13} \cdot 5^{7} \cdot 7 \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$752640$	$2.378212$	$17869652393984/13156171875$	$0.98585$	$4.88163$	$[0, 0, 1, 593142, 91734849]$	\(y^2+y=x^3+593142x+91734849\)	2310.2.0.?	$[]$
40425.br1	40425cd1	40425.br	40425cd	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 3^{7} \cdot 5^{13} \cdot 7^{7} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1.525709274$	$1$		$4$	$903168$	$2.407631$	$17869652393984/13156171875$	$0.98585$	$4.88783$	$[0, 1, 1, 667217, -109222781]$	\(y^2+y=x^3+x^2+667217x-109222781\)	2310.2.0.?	$[(443, 16537)]$
55440.bp1	55440dn1	55440.bp	55440dn	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{12} \cdot 3^{13} \cdot 5^{7} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$451584$	$1.872410$	$17869652393984/13156171875$	$0.98585$	$4.15850$	$[0, 0, 0, 78432, 4410992]$	\(y^2=x^3+78432x+4410992\)	2310.2.0.?	$[]$
63525.ba1	63525e1	63525.ba	63525e	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{13} \cdot 7 \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$2257920$	$2.633625$	$17869652393984/13156171875$	$0.98585$	$4.93328$	$[0, -1, 1, 1647617, -425247582]$	\(y^2+y=x^3-x^2+1647617x-425247582\)	2310.2.0.?	$[]$
73920.y1	73920h1	73920.y	73920h	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{7} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$112896$	$0.976530$	$17869652393984/13156171875$	$0.98585$	$3.09284$	$[0, -1, 0, 2179, 19695]$	\(y^2=x^3-x^2+2179x+19695\)	2310.2.0.?	$[]$
73920.fo1	73920gs1	73920.fo	73920gs	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{7} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$112896$	$0.976530$	$17869652393984/13156171875$	$0.98585$	$3.09284$	$[0, 1, 0, 2179, -19695]$	\(y^2=x^3+x^2+2179x-19695\)	2310.2.0.?	$[]$
88935.y1	88935l1	88935.y	88935l	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{7} \cdot 7^{7} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$6.456038271$	$1$		$0$	$4515840$	$2.801861$	$17869652393984/13156171875$	$0.98585$	$4.96478$	$[0, -1, 1, 3229329, 1164295901]$	\(y^2+y=x^3-x^2+3229329x+1164295901\)	2310.2.0.?	$[(45149/2, 9717627/2)]$
92400.gh1	92400gr1	92400.gh	92400gr	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{13} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$1354752$	$2.127823$	$17869652393984/13156171875$	$0.98585$	$4.24077$	$[0, 1, 0, 217867, -20348637]$	\(y^2=x^3+x^2+217867x-20348637\)	2310.2.0.?	$[]$
121275.dm1	121275dy1	121275.dm	121275dy	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 3^{13} \cdot 5^{13} \cdot 7^{7} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$7225344$	$2.956936$	$17869652393984/13156171875$	$0.98585$	$4.99221$	$[0, 0, 1, 6004950, 2955020031]$	\(y^2+y=x^3+6004950x+2955020031\)	2310.2.0.?	$[]$
129360.fo1	129360gs1	129360.fo	129360gs	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{7} \cdot 7^{7} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$4.457237314$	$1$		$2$	$2709504$	$2.296059$	$17869652393984/13156171875$	$0.98585$	$4.29106$	$[0, 1, 0, 427019, 56178275]$	\(y^2=x^3+x^2+427019x+56178275\)	2310.2.0.?	$[(3614, 220941)]$
190575.cf1	190575cv1	190575.cf	190575cv	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 3^{13} \cdot 5^{13} \cdot 7 \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$2.504351922$	$1$		$2$	$18063360$	$3.182930$	$17869652393984/13156171875$	$0.98585$	$5.02968$	$[0, 0, 1, 14828550, 11466856156]$	\(y^2+y=x^3+14828550x+11466856156\)	2310.2.0.?	$[(1474, 191119)]$
195195.ba1	195195z1	195195.ba	195195z	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( - 3^{7} \cdot 5^{7} \cdot 7 \cdot 11 \cdot 13^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$1693440$	$1.912432$	$17869652393984/13156171875$	$0.98585$	$3.76824$	$[0, 1, 1, 92049, 5638871]$	\(y^2+y=x^3+x^2+92049x+5638871\)	2310.2.0.?	$[]$
203280.cv1	203280cz1	203280.cv	203280cz	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{7} \cdot 7 \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$6773760$	$2.522053$	$17869652393984/13156171875$	$0.98585$	$4.35426$	$[0, -1, 0, 1054475, 217094077]$	\(y^2=x^3-x^2+1054475x+217094077\)	2310.2.0.?	$[]$
221760.ht1	221760kd1	221760.ht	221760kd	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{13} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1.163350098$	$1$		$2$	$903168$	$1.525837$	$17869652393984/13156171875$	$0.98585$	$3.35230$	$[0, 0, 0, 19608, -551374]$	\(y^2=x^3+19608x-551374\)	2310.2.0.?	$[(967, 30375)]$
221760.ns1	221760o1	221760.ns	221760o	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{13} \cdot 5^{7} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$903168$	$1.525837$	$17869652393984/13156171875$	$0.98585$	$3.35230$	$[0, 0, 0, 19608, 551374]$	\(y^2=x^3+19608x+551374\)	2310.2.0.?	$[]$
266805.cq1	266805cq1	266805.cq	266805cq	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{13} \cdot 5^{7} \cdot 7^{7} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$0.628316018$	$1$		$4$	$36126720$	$3.351166$	$17869652393984/13156171875$	$0.98585$	$5.05581$	$[0, 0, 1, 29063958, -31465053293]$	\(y^2+y=x^3+29063958x-31465053293\)	2310.2.0.?	$[(3817, 367537)]$
277200.cs1	277200cs1	277200.cs	277200cs	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{12} \cdot 3^{13} \cdot 5^{13} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$19.68885906$	$1$		$0$	$10838016$	$2.677128$	$17869652393984/13156171875$	$0.98585$	$4.39499$	$[0, 0, 0, 1960800, 551374000]$	\(y^2=x^3+1960800x+551374000\)	2310.2.0.?	$[(5324525465/101, 388528540165125/101)]$
333795.be1	333795be1	333795.be	333795be	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \)	\( - 3^{7} \cdot 5^{7} \cdot 7 \cdot 11 \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$26.95775136$	$1$		$0$	$3750656$	$2.046562$	$17869652393984/13156171875$	$0.98585$	$3.73584$	$[0, -1, 1, 157409, 12488736]$	\(y^2+y=x^3-x^2+157409x+12488736\)	2310.2.0.?	$[(-49383246576/34477, 99318294419730032/34477)]$
369600.z1	369600z1	369600.z	369600z	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{13} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$2709504$	$1.781250$	$17869652393984/13156171875$	$0.98585$	$3.45780$	$[0, -1, 0, 54467, -2570813]$	\(y^2=x^3-x^2+54467x-2570813\)	2310.2.0.?	$[]$
369600.vi1	369600vi1	369600.vi	369600vi	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{13} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$2709504$	$1.781250$	$17869652393984/13156171875$	$0.98585$	$3.45780$	$[0, 1, 0, 54467, 2570813]$	\(y^2=x^3+x^2+54467x+2570813\)	2310.2.0.?	$[]$
388080.kq1	388080kq1	388080.kq	388080kq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{13} \cdot 5^{7} \cdot 7^{7} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$3.580996433$	$1$		$2$	$21676032$	$2.845364$	$17869652393984/13156171875$	$0.98585$	$4.43695$	$[0, 0, 0, 3843168, -1512970256]$	\(y^2=x^3+3843168x-1512970256\)	2310.2.0.?	$[(10913, 1157625)]$
416955.bf1	416955bf1	416955.bf	416955bf	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \)	\( - 3^{7} \cdot 5^{7} \cdot 7 \cdot 11 \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$5.117233097$	$1$		$2$	$5630688$	$2.102177$	$17869652393984/13156171875$	$0.98585$	$3.72319$	$[0, -1, 1, 196625, -17574219]$	\(y^2+y=x^3-x^2+196625x-17574219\)	2310.2.0.?	$[(1425, 56162)]$
444675.ex1	444675ex1	444675.ex	444675ex	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{13} \cdot 7^{7} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$108380160$	$3.606579$	$17869652393984/13156171875$	$0.98585$	$5.09289$	$[0, 1, 1, 80733217, 145698454094]$	\(y^2+y=x^3+x^2+80733217x+145698454094\)	2310.2.0.?	$[]$