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
645.f1	645c1	645.f	645c	$1$	$1$	\( 3 \cdot 5 \cdot 43 \)	\( - 3^{14} \cdot 5^{2} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$86$	$2$	$0$	$1$	$1$		$0$	$2688$	$1.286276$	$-522547125460258816/9506987907075$	$1.00952$	$6.31116$	$[0, -1, 1, -16780, 855303]$	\(y^2+y=x^3-x^2-16780x+855303\)	86.2.0.?	$[]$
1935.a1	1935i1	1935.a	1935i	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43 \)	\( - 3^{20} \cdot 5^{2} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$21504$	$1.835581$	$-522547125460258816/9506987907075$	$1.00952$	$6.26599$	$[0, 0, 1, -151023, -22942166]$	\(y^2+y=x^3-151023x-22942166\)	86.2.0.?	$[]$
3225.a1	3225i1	3225.a	3225i	$1$	$1$	\( 3 \cdot 5^{2} \cdot 43 \)	\( - 3^{14} \cdot 5^{8} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$0.081419553$	$1$		$12$	$64512$	$2.090996$	$-522547125460258816/9506987907075$	$1.00952$	$6.24917$	$[0, 1, 1, -419508, 106073894]$	\(y^2+y=x^3+x^2-419508x+106073894\)	86.2.0.?	$[(-387, 14512)]$
9675.x1	9675p1	9675.x	9675p	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 3^{20} \cdot 5^{8} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$12.79529191$	$1$		$0$	$516096$	$2.640301$	$-522547125460258816/9506987907075$	$1.00952$	$6.21934$	$[0, 0, 1, -3775575, -2867770719]$	\(y^2+y=x^3-3775575x-2867770719\)	86.2.0.?	$[(49621865/122, 266879100551/122)]$
10320.bh1	10320bf1	10320.bh	10320bf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{14} \cdot 5^{2} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$0.635519895$	$1$		$4$	$107520$	$1.979424$	$-522547125460258816/9506987907075$	$1.00952$	$5.31780$	$[0, 1, 0, -268485, -54470925]$	\(y^2=x^3+x^2-268485x-54470925\)	86.2.0.?	$[(1470, 52245)]$
27735.a1	27735k1	27735.a	27735k	$1$	$1$	\( 3 \cdot 5 \cdot 43^{2} \)	\( - 3^{14} \cdot 5^{2} \cdot 43^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$0.993905046$	$1$		$4$	$4967424$	$3.166874$	$-522547125460258816/9506987907075$	$1.00952$	$6.19676$	$[0, 1, 1, -31026836, -67568222734]$	\(y^2+y=x^3+x^2-31026836x-67568222734\)	86.2.0.?	$[(8872, 596302)]$
30960.n1	30960bk1	30960.n	30960bk	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{20} \cdot 5^{2} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$860160$	$2.528728$	$-522547125460258816/9506987907075$	$1.00952$	$5.39028$	$[0, 0, 0, -2416368, 1468298608]$	\(y^2=x^3-2416368x+1468298608\)	86.2.0.?	$[]$
31605.bb1	31605u1	31605.bb	31605u	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 3^{14} \cdot 5^{2} \cdot 7^{6} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$2.923851312$	$1$		$0$	$1032192$	$2.259232$	$-522547125460258816/9506987907075$	$1.00952$	$5.06742$	$[0, 1, 1, -822236, -291724555]$	\(y^2+y=x^3+x^2-822236x-291724555\)	86.2.0.?	$[(4621/2, 138911/2)]$
41280.n1	41280bx1	41280.n	41280bx	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{14} \cdot 5^{2} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$4$	$2$	$0$	$215040$	$1.632849$	$-522547125460258816/9506987907075$	$1.00952$	$4.23285$	$[0, -1, 0, -67121, -6775305]$	\(y^2=x^3-x^2-67121x-6775305\)	86.2.0.?	$[]$
41280.cc1	41280bc1	41280.cc	41280bc	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{14} \cdot 5^{2} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$0.138512995$	$1$		$6$	$215040$	$1.632849$	$-522547125460258816/9506987907075$	$1.00952$	$4.23285$	$[0, 1, 0, -67121, 6775305]$	\(y^2=x^3+x^2-67121x+6775305\)	86.2.0.?	$[(232, 1935)]$
51600.x1	51600bn1	51600.x	51600bn	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{12} \cdot 3^{14} \cdot 5^{8} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$2580480$	$2.784142$	$-522547125460258816/9506987907075$	$1.00952$	$5.41898$	$[0, -1, 0, -6712133, -6795441363]$	\(y^2=x^3-x^2-6712133x-6795441363\)	86.2.0.?	$[]$
78045.a1	78045l1	78045.a	78045l	$1$	$1$	\( 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 3^{14} \cdot 5^{2} \cdot 11^{6} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$3198720$	$2.485222$	$-522547125460258816/9506987907075$	$1.00952$	$4.90152$	$[0, -1, 1, -2030420, -1130286994]$	\(y^2+y=x^3-x^2-2030420x-1130286994\)	86.2.0.?	$[]$
83205.x1	83205v1	83205.x	83205v	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43^{2} \)	\( - 3^{20} \cdot 5^{2} \cdot 43^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$39739392$	$3.716183$	$-522547125460258816/9506987907075$	$1.00952$	$6.17768$	$[0, 0, 1, -279241527, 1824062772285]$	\(y^2+y=x^3-279241527x+1824062772285\)	86.2.0.?	$[]$
94815.b1	94815bm1	94815.b	94815bm	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 3^{20} \cdot 5^{2} \cdot 7^{6} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$8257536$	$2.808537$	$-522547125460258816/9506987907075$	$1.00952$	$5.15683$	$[0, 0, 1, -7400127, 7869162852]$	\(y^2+y=x^3-7400127x+7869162852\)	86.2.0.?	$[]$
109005.a1	109005c1	109005.a	109005c	$1$	$1$	\( 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( - 3^{14} \cdot 5^{2} \cdot 13^{6} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.990553847$	$1$		$4$	$6289920$	$2.568748$	$-522547125460258816/9506987907075$	$1.00952$	$4.84675$	$[0, -1, 1, -2835876, 1867757816]$	\(y^2+y=x^3-x^2-2835876x+1867757816\)	86.2.0.?	$[(993, 5467)]$
123840.eu1	123840fu1	123840.eu	123840fu	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{20} \cdot 5^{2} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$1720320$	$2.182156$	$-522547125460258816/9506987907075$	$1.00952$	$4.39841$	$[0, 0, 0, -604092, 183537326]$	\(y^2=x^3-604092x+183537326\)	86.2.0.?	$[]$
123840.fi1	123840cz1	123840.fi	123840cz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{20} \cdot 5^{2} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$1720320$	$2.182156$	$-522547125460258816/9506987907075$	$1.00952$	$4.39841$	$[0, 0, 0, -604092, -183537326]$	\(y^2=x^3-604092x-183537326\)	86.2.0.?	$[]$
138675.y1	138675y1	138675.y	138675y	$1$	$1$	\( 3 \cdot 5^{2} \cdot 43^{2} \)	\( - 3^{14} \cdot 5^{8} \cdot 43^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$25$	$5$	$0$	$119218176$	$3.971596$	$-522547125460258816/9506987907075$	$1.00952$	$6.17001$	$[0, -1, 1, -775670908, -8444476499907]$	\(y^2+y=x^3-x^2-775670908x-8444476499907\)	86.2.0.?	$[]$
154800.eb1	154800cs1	154800.eb	154800cs	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{12} \cdot 3^{20} \cdot 5^{8} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$22.25262116$	$1$		$0$	$20643840$	$3.333447$	$-522547125460258816/9506987907075$	$1.00952$	$5.47239$	$[0, 0, 0, -60409200, 183537326000]$	\(y^2=x^3-60409200x+183537326000\)	86.2.0.?	$[(75172164385/3089, 13068331304576175/3089)]$
158025.c1	158025e1	158025.c	158025e	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 3^{14} \cdot 5^{8} \cdot 7^{6} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$3.947958742$	$1$		$0$	$24772608$	$3.063950$	$-522547125460258816/9506987907075$	$1.00952$	$5.19281$	$[0, -1, 1, -20555908, -36424457532]$	\(y^2+y=x^3-x^2-20555908x-36424457532\)	86.2.0.?	$[(197749/2, 87552167/2)]$
186405.k1	186405j1	186405.k	186405j	$1$	$1$	\( 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( - 3^{14} \cdot 5^{2} \cdot 17^{6} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$12859392$	$2.702881$	$-522547125460258816/9506987907075$	$1.00952$	$4.76510$	$[0, 1, 1, -4849516, 4173007951]$	\(y^2+y=x^3+x^2-4849516x+4173007951\)	86.2.0.?	$[]$
206400.cd1	206400jn1	206400.cd	206400jn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{6} \cdot 3^{14} \cdot 5^{8} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$3.870931324$	$1$		$2$	$5160960$	$2.437569$	$-522547125460258816/9506987907075$	$1.00952$	$4.46526$	$[0, -1, 0, -1678033, 850269187]$	\(y^2=x^3-x^2-1678033x+850269187\)	86.2.0.?	$[(2278, 94041)]$
206400.io1	206400bx1	206400.io	206400bx	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{6} \cdot 3^{14} \cdot 5^{8} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$5160960$	$2.437569$	$-522547125460258816/9506987907075$	$1.00952$	$4.46526$	$[0, 1, 0, -1678033, -850269187]$	\(y^2=x^3+x^2-1678033x-850269187\)	86.2.0.?	$[]$
232845.c1	232845c1	232845.c	232845c	$1$	$1$	\( 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 3^{14} \cdot 5^{2} \cdot 19^{6} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$18579456$	$2.758495$	$-522547125460258816/9506987907075$	$1.00952$	$4.73333$	$[0, 1, 1, -6057700, -5830179044]$	\(y^2+y=x^3+x^2-6057700x-5830179044\)	86.2.0.?	$[]$
234135.bh1	234135bh1	234135.bh	234135bh	$1$	$1$	\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 3^{20} \cdot 5^{2} \cdot 11^{6} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$25589760$	$3.034531$	$-522547125460258816/9506987907075$	$1.00952$	$4.99913$	$[0, 0, 1, -18273783, 30536022613]$	\(y^2+y=x^3-18273783x+30536022613\)	86.2.0.?	$[]$
327015.bj1	327015bj1	327015.bj	327015bj	$1$	$1$	\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 43 \)	\( - 3^{20} \cdot 5^{2} \cdot 13^{6} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$142.1426713$	$1$		$0$	$50319360$	$3.118057$	$-522547125460258816/9506987907075$	$1.00952$	$4.94653$	$[0, 0, 1, -25522887, -50403938153]$	\(y^2+y=x^3-25522887x-50403938153\)	86.2.0.?	$[(260619730094290685140544634313578776289035211362995678077738337/185877074985475577019300455174, 2771780491686819919654235559816948789392162153767347073010097613280647000745024145773615473043/185877074985475577019300455174)]$
341205.ba1	341205ba1	341205.ba	341205ba	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \cdot 43 \)	\( - 3^{14} \cdot 5^{2} \cdot 23^{6} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$11.76434269$	$1$		$0$	$33530112$	$2.854023$	$-522547125460258816/9506987907075$	$1.00952$	$4.68134$	$[0, -1, 1, -8876796, -10335460723]$	\(y^2+y=x^3-x^2-8876796x-10335460723\)	86.2.0.?	$[(164594121/16, 2111623413637/16)]$
390225.bo1	390225bo1	390225.bo	390225bo	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 43 \)	\( - 3^{14} \cdot 5^{8} \cdot 11^{6} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$27.01862589$	$1$		$0$	$76769280$	$3.289944$	$-522547125460258816/9506987907075$	$1.00952$	$5.03884$	$[0, 1, 1, -50760508, -141387395231]$	\(y^2+y=x^3+x^2-50760508x-141387395231\)	86.2.0.?	$[(6055859470997/18818, 13314510069549860459/18818)]$
416025.c1	416025c1	416025.c	416025c	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 43^{2} \)	\( - 3^{20} \cdot 5^{8} \cdot 43^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$11.07583814$	$1$		$0$	$953745408$	$4.520897$	$-522547125460258816/9506987907075$	$1.00952$	$6.15558$	$[0, 0, 1, -6981038175, 228007846535656]$	\(y^2+y=x^3-6981038175x+228007846535656\)	86.2.0.?	$[(38208295/31, 108641793667/31)]$
443760.g1	443760g1	443760.g	443760g	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{12} \cdot 3^{14} \cdot 5^{2} \cdot 43^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$12.03652855$	$1$		$0$	$198696960$	$3.860023$	$-522547125460258816/9506987907075$	$1.00952$	$5.51513$	$[0, -1, 0, -496429381, 4323869825581]$	\(y^2=x^3-x^2-496429381x+4323869825581\)	86.2.0.?	$[(116102149/202, 14119263547245/202)]$
474075.ds1	474075ds1	474075.ds	474075ds	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 3^{20} \cdot 5^{8} \cdot 7^{6} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$198180864$	$3.613255$	$-522547125460258816/9506987907075$	$1.00952$	$5.26066$	$[0, 0, 1, -185003175, 983645356531]$	\(y^2+y=x^3-185003175x+983645356531\)	86.2.0.?	$[]$