Elliptic curve search results

Results (17 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
4830.i3	4830j1	4830.i	4830j	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.12	2B	$2760$	$48$	$0$	$2.888666049$	$1$		$3$	$1536$	$0.107857$	$4886171981209/270480$	$0.88995$	$3.44439$	$[1, 0, 1, -354, -2588]$	\(y^2+xy+y=x^3-354x-2588\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.y.1.2, $\ldots$	$[(25, 53)]$
14490.bq3	14490bt1	14490.bq	14490bt	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 23 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2760$	$48$	$0$	$1$	$1$		$3$	$12288$	$0.657164$	$4886171981209/270480$	$0.88995$	$3.73743$	$[1, -1, 1, -3182, 69869]$	\(y^2+xy+y=x^3-x^2-3182x+69869\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.4, 690.6.0.?, 920.24.0.?, $\ldots$	$[]$
24150.ca3	24150bs1	24150.ca	24150bs	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{4} \cdot 3 \cdot 5^{7} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2760$	$48$	$0$	$3.877876319$	$1$		$3$	$36864$	$0.912576$	$4886171981209/270480$	$0.88995$	$3.85195$	$[1, 1, 1, -8838, -323469]$	\(y^2+xy+y=x^3+x^2-8838x-323469\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.2, $\ldots$	$[(201, 2363)]$
33810.w3	33810v1	33810.w	33810v	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$73728$	$1.080812$	$4886171981209/270480$	$0.88995$	$3.92126$	$[1, 1, 0, -17322, 870276]$	\(y^2+xy=x^3+x^2-17322x+870276\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 56.12.0-4.c.1.4, 84.12.0.?, $\ldots$	$[]$
38640.r3	38640bo1	38640.r	38640bo	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$2760$	$48$	$0$	$1.427899346$	$1$		$5$	$36864$	$0.801004$	$4886171981209/270480$	$0.88995$	$3.55378$	$[0, -1, 0, -5656, 165616]$	\(y^2=x^3-x^2-5656x+165616\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.y.1.10, $\ldots$	$[(45, 14)]$
72450.bm3	72450bt1	72450.bm	72450bt	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 7^{2} \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2760$	$48$	$0$	$1.288671701$	$1$		$21$	$294912$	$1.461882$	$4886171981209/270480$	$0.88995$	$4.06283$	$[1, -1, 0, -79542, 8654116]$	\(y^2+xy=x^3-x^2-79542x+8654116\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.y.1, 120.24.0.?, $\ldots$	$[(159, 8), (173, 134)]$
101430.cz3	101430dy1	101430.cz	101430dy	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$589824$	$1.630119$	$4886171981209/270480$	$0.88995$	$4.11938$	$[1, -1, 1, -155903, -23653353]$	\(y^2+xy+y=x^3-x^2-155903x-23653353\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$	$[]$
111090.bh3	111090bk1	111090.bh	111090bk	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2760$	$48$	$0$	$6.104086478$	$1$		$1$	$811008$	$1.675604$	$4886171981209/270480$	$0.88995$	$4.13410$	$[1, 0, 1, -187013, 31111136]$	\(y^2+xy+y=x^3-187013x+31111136\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.y.1, 120.24.0.?, $\ldots$	$[(6284/5, -12108/5)]$
115920.fd3	115920ff1	115920.fd	115920ff	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$2760$	$48$	$0$	$1$	$4$	$2$	$1$	$294912$	$1.350311$	$4886171981209/270480$	$0.88995$	$3.78425$	$[0, 0, 0, -50907, -4420726]$	\(y^2=x^3-50907x-4420726\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.12, 690.6.0.?, 920.24.0.?, $\ldots$	$[]$
154560.cd3	154560gu1	154560.cd	154560gu	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{22} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2760$	$48$	$0$	$5.544098558$	$1$		$1$	$294912$	$1.147577$	$4886171981209/270480$	$0.88995$	$3.48953$	$[0, -1, 0, -22625, -1302303]$	\(y^2=x^3-x^2-22625x-1302303\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 690.6.0.?, $\ldots$	$[(-1383/4, 501/4)]$
154560.id3	154560i1	154560.id	154560i	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{22} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2760$	$48$	$0$	$4.994558718$	$1$		$1$	$294912$	$1.147577$	$4886171981209/270480$	$0.88995$	$3.48953$	$[0, 1, 0, -22625, 1302303]$	\(y^2=x^3+x^2-22625x+1302303\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.6, 690.6.0.?, $\ldots$	$[(573/2, 8085/2)]$
169050.ja3	169050by1	169050.ja	169050by	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{4} \cdot 3 \cdot 5^{7} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$1769472$	$1.885530$	$4886171981209/270480$	$0.88995$	$4.19918$	$[1, 0, 0, -433063, 109650617]$	\(y^2+xy=x^3-433063x+109650617\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 280.12.0.?, 420.12.0.?, $\ldots$	$[]$
193200.dx3	193200ca1	193200.dx	193200ca	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 3 \cdot 5^{7} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2760$	$48$	$0$	$1$	$1$		$1$	$884736$	$1.605722$	$4886171981209/270480$	$0.88995$	$3.87725$	$[0, 1, 0, -141408, 20419188]$	\(y^2=x^3+x^2-141408x+20419188\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.1, $\ldots$	$[]$
270480.hk3	270480hk1	270480.hk	270480hk	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{16} \cdot 3 \cdot 5 \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$11.66548230$	$1$		$1$	$1769472$	$1.773960$	$4886171981209/270480$	$0.88995$	$3.93435$	$[0, 1, 0, -277160, -56251980]$	\(y^2=x^3+x^2-277160x-56251980\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 56.12.0-4.c.1.4, 84.12.0.?, $\ldots$	$[(807759/5, 725890998/5)]$
333270.dy3	333270dy1	333270.dy	333270dy	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2760$	$48$	$0$	$3.279353533$	$1$		$3$	$6488064$	$2.224911$	$4886171981209/270480$	$0.88995$	$4.29530$	$[1, -1, 1, -1683113, -840000679]$	\(y^2+xy+y=x^3-x^2-1683113x-840000679\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.6, 60.12.0-4.c.1.2, $\ldots$	$[(1501, 2952)]$
463680.dd3	463680dd1	463680.dd	463680dd	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{22} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$2760$	$48$	$0$	$1$	$1$		$1$	$2359296$	$1.696884$	$4886171981209/270480$	$0.88995$	$3.70092$	$[0, 0, 0, -203628, 35365808]$	\(y^2=x^3-203628x+35365808\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.16, 690.6.0.?, $\ldots$	$[]$
463680.ee3	463680ee1	463680.ee	463680ee	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{22} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$2760$	$48$	$0$	$4.157444180$	$1$		$3$	$2359296$	$1.696884$	$4886171981209/270480$	$0.88995$	$3.70092$	$[0, 0, 0, -203628, -35365808]$	\(y^2=x^3-203628x-35365808\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 690.6.0.?, $\ldots$	$[(762, 15872)]$