Elliptic curve search results

Results (22 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
4046.n1	4046h1	4046.n	4046h	$2$	$2$	\( 2 \cdot 7 \cdot 17^{2} \)	\( 2^{8} \cdot 7^{4} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$1$	$1$		$1$	$34816$	$1.987070$	$9869198625/614656$	$1.04980$	$5.84091$	$[1, -1, 1, -219550, 37459245]$	\(y^2+xy+y=x^3-x^2-219550x+37459245\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[]$
4046.o1	4046o1	4046.o	4046o	$2$	$2$	\( 2 \cdot 7 \cdot 17^{2} \)	\( 2^{8} \cdot 7^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$0.234203735$	$1$		$11$	$2048$	$0.570464$	$9869198625/614656$	$1.04980$	$3.79416$	$[1, -1, 1, -760, 7803]$	\(y^2+xy+y=x^3-x^2-760x+7803\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(21, 17)]$
28322.y1	28322r1	28322.y	28322r	$2$	$2$	\( 2 \cdot 7^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 7^{10} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$2.777465967$	$1$		$5$	$98304$	$1.543419$	$9869198625/614656$	$1.04980$	$4.21287$	$[1, -1, 1, -37225, -2602071]$	\(y^2+xy+y=x^3-x^2-37225x-2602071\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(-123, 384)]$
28322.z1	28322q1	28322.z	28322q	$2$	$2$	\( 2 \cdot 7^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 7^{10} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$11.87052175$	$1$		$1$	$1671168$	$2.960026$	$9869198625/614656$	$1.04980$	$5.87111$	$[1, -1, 1, -10757935, -12827005257]$	\(y^2+xy+y=x^3-x^2-10757935x-12827005257\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(1295109/17, 824839986/17)]$
32368.s1	32368g1	32368.s	32368g	$2$	$2$	\( 2^{4} \cdot 7 \cdot 17^{2} \)	\( 2^{20} \cdot 7^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$1$	$1$		$1$	$49152$	$1.263611$	$9869198625/614656$	$1.04980$	$3.83538$	$[0, 0, 0, -12155, -487254]$	\(y^2=x^3-12155x-487254\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[]$
32368.t1	32368v1	32368.t	32368v	$2$	$2$	\( 2^{4} \cdot 7 \cdot 17^{2} \)	\( 2^{20} \cdot 7^{4} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$6.116212806$	$1$		$3$	$835584$	$2.680218$	$9869198625/614656$	$1.04980$	$5.47229$	$[0, 0, 0, -3512795, -2393878902]$	\(y^2=x^3-3512795x-2393878902\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(2831, 101738)]$
36414.w1	36414p1	36414.w	36414p	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 7^{4} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$1$	$1$		$1$	$1114112$	$2.536377$	$9869198625/614656$	$1.04980$	$5.24658$	$[1, -1, 0, -1975947, -1009423675]$	\(y^2+xy=x^3-x^2-1975947x-1009423675\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[]$
36414.y1	36414bd1	36414.y	36414bd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 7^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$1.085489723$	$1$		$7$	$65536$	$1.119770$	$9869198625/614656$	$1.04980$	$3.62802$	$[1, -1, 0, -6837, -203851]$	\(y^2+xy=x^3-x^2-6837x-203851\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(-55, 87)]$
101150.p1	101150a1	101150.p	101150a	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{8} \cdot 5^{6} \cdot 7^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$1.247908635$	$1$		$7$	$294912$	$1.375183$	$9869198625/614656$	$1.04980$	$3.57234$	$[1, -1, 0, -18992, 956416]$	\(y^2+xy=x^3-x^2-18992x+956416\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(48, 368)]$
101150.v1	101150p1	101150.v	101150p	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{8} \cdot 5^{6} \cdot 7^{4} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$1$	$1$		$1$	$5013504$	$2.791790$	$9869198625/614656$	$1.04980$	$5.04742$	$[1, -1, 0, -5488742, 4676916916]$	\(y^2+xy=x^3-x^2-5488742x+4676916916\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[]$
129472.bv1	129472bu1	129472.bv	129472bu	$2$	$2$	\( 2^{6} \cdot 7 \cdot 17^{2} \)	\( 2^{26} \cdot 7^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$1$	$1$		$1$	$393216$	$1.610186$	$9869198625/614656$	$1.04980$	$3.73699$	$[0, 0, 0, -48620, -3898032]$	\(y^2=x^3-48620x-3898032\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[]$
129472.bw1	129472a1	129472.bw	129472a	$2$	$2$	\( 2^{6} \cdot 7 \cdot 17^{2} \)	\( 2^{26} \cdot 7^{4} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$12.09432260$	$1$		$1$	$6684672$	$3.026791$	$9869198625/614656$	$1.04980$	$5.18113$	$[0, 0, 0, -14051180, 19151031216]$	\(y^2=x^3-14051180x+19151031216\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(5522550/29, 11177542656/29)]$
129472.bx1	129472cu1	129472.bx	129472cu	$2$	$2$	\( 2^{6} \cdot 7 \cdot 17^{2} \)	\( 2^{26} \cdot 7^{4} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$8.045754824$	$1$		$3$	$6684672$	$3.026791$	$9869198625/614656$	$1.04980$	$5.18113$	$[0, 0, 0, -14051180, -19151031216]$	\(y^2=x^3-14051180x-19151031216\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(24716, 3838240)]$
129472.by1	129472y1	129472.by	129472y	$2$	$2$	\( 2^{6} \cdot 7 \cdot 17^{2} \)	\( 2^{26} \cdot 7^{4} \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$3.112706565$	$1$		$11$	$393216$	$1.610186$	$9869198625/614656$	$1.04980$	$3.73699$	$[0, 0, 0, -48620, 3898032]$	\(y^2=x^3-48620x+3898032\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(68, 952), (-51, 2499)]$
226576.bt1	226576be1	226576.bt	226576be	$2$	$2$	\( 2^{4} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{20} \cdot 7^{10} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$19.38568875$	$1$		$1$	$40108032$	$3.653172$	$9869198625/614656$	$1.04980$	$5.55557$	$[0, 0, 0, -172126955, 821100463386]$	\(y^2=x^3-172126955x+821100463386\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(3566060183/457, 161416709777806/457)]$
226576.bu1	226576bf1	226576.bu	226576bf	$2$	$2$	\( 2^{4} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{20} \cdot 7^{10} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$5.328390971$	$1$		$3$	$2359296$	$2.236565$	$9869198625/614656$	$1.04980$	$4.17697$	$[0, 0, 0, -595595, 167128122]$	\(y^2=x^3-595595x+167128122\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(2807, 143570)]$
254898.bw1	254898bw1	254898.bw	254898bw	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 7^{10} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$13.51410506$	$1$		$1$	$53477376$	$3.509331$	$9869198625/614656$	$1.04980$	$5.36435$	$[1, -1, 0, -96821412, 346425963344]$	\(y^2+xy=x^3-x^2-96821412x+346425963344\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(62094664/83, 256919127956/83)]$
254898.bx1	254898bx1	254898.bx	254898bx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 7^{10} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$5.103726806$	$1$		$3$	$3145728$	$2.092724$	$9869198625/614656$	$1.04980$	$3.99879$	$[1, -1, 0, -335022, 70590932]$	\(y^2+xy=x^3-x^2-335022x+70590932\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(-157, 11001)]$
291312.cv1	291312cv1	291312.cv	291312cv	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{20} \cdot 3^{6} \cdot 7^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$2.514428146$	$1$		$3$	$1572864$	$1.812918$	$9869198625/614656$	$1.04980$	$3.68949$	$[0, 0, 0, -109395, 13155858]$	\(y^2=x^3-109395x+13155858\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(-297, 4410)]$
291312.de1	291312de1	291312.de	291312de	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{20} \cdot 3^{6} \cdot 7^{4} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$1$	$1$		$1$	$26738688$	$3.229523$	$9869198625/614656$	$1.04980$	$5.04056$	$[0, 0, 0, -31615155, 64634730354]$	\(y^2=x^3-31615155x+64634730354\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[]$
489566.x1	489566x1	489566.x	489566x	$2$	$2$	\( 2 \cdot 7 \cdot 11^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 7^{4} \cdot 11^{6} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$1$	$1$		$1$	$2949120$	$1.769411$	$9869198625/614656$	$1.04980$	$3.50345$	$[1, -1, 0, -91922, -10110380]$	\(y^2+xy=x^3-x^2-91922x-10110380\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[]$
489566.y1	489566y1	489566.y	489566y	$2$	$2$	\( 2 \cdot 7 \cdot 11^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 7^{4} \cdot 11^{6} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.1.35	2B	$1904$	$192$	$9$	$9.216832793$	$1$		$1$	$50135040$	$3.186020$	$9869198625/614656$	$1.04980$	$4.80098$	$[1, -1, 0, -26565512, -49778558912]$	\(y^2+xy=x^3-x^2-26565512x-49778558912\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$	$[(1667392/9, 2070580744/9)]$