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
5610.bb1	5610bd2	5610.bb	5610bd	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{4} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.322788362$	$1$		$8$	$4608$	$0.631332$	$75370704203521/7497765000$	$0.90865$	$3.70161$	$[1, 1, 1, -880, 8777]$	\(y^2+xy+y=x^3+x^2-880x+8777\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(7, 51)]$
16830.e1	16830q2	16830.e	16830q	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{3} \cdot 3^{12} \cdot 5^{4} \cdot 11^{2} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.393189165$	$1$		$14$	$36864$	$1.180637$	$75370704203521/7497765000$	$0.90865$	$3.96110$	$[1, -1, 0, -7920, -244904]$	\(y^2+xy=x^3-x^2-7920x-244904\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-43, 143), (-55, 176)]$
28050.bs1	28050bf2	28050.bs	28050bf	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{10} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.809973909$	$1$		$8$	$110592$	$1.436050$	$75370704203521/7497765000$	$0.90865$	$4.06279$	$[1, 0, 1, -22001, 1141148]$	\(y^2+xy+y=x^3-22001x+1141148\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(12, 931)]$
44880.cv1	44880ct2	44880.cv	44880ct	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{15} \cdot 3^{6} \cdot 5^{4} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.391879867$	$1$		$11$	$110592$	$1.324480$	$75370704203521/7497765000$	$0.90865$	$3.75954$	$[0, 1, 0, -14080, -589900]$	\(y^2=x^3+x^2-14080x-589900\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-70, 240)]$
61710.q1	61710p2	61710.q	61710p	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{4} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.384034707$	$1$		$2$	$552960$	$1.830280$	$75370704203521/7497765000$	$0.90865$	$4.20127$	$[1, 1, 0, -106482, -12214836]$	\(y^2+xy=x^3+x^2-106482x-12214836\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(435, 4683)]$
84150.gg1	84150fe2	84150.gg	84150fe	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{3} \cdot 3^{12} \cdot 5^{10} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$884736$	$1.985357$	$75370704203521/7497765000$	$0.90865$	$4.25046$	$[1, -1, 1, -198005, -30811003]$	\(y^2+xy+y=x^3-x^2-198005x-30811003\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
95370.de1	95370cz2	95370.de	95370cz	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{3} \cdot 3^{6} \cdot 5^{4} \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.553314184$	$1$		$8$	$1327104$	$2.047939$	$75370704203521/7497765000$	$0.90865$	$4.26956$	$[1, 0, 0, -254326, 44902556]$	\(y^2+xy=x^3-254326x+44902556\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(398, 2402)]$
134640.bz1	134640cg2	134640.bz	134640cg	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{15} \cdot 3^{12} \cdot 5^{4} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.873785$	$75370704203521/7497765000$	$0.90865$	$3.96795$	$[0, 0, 0, -126723, 15800578]$	\(y^2=x^3-126723x+15800578\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
179520.bm1	179520ea2	179520.bm	179520ea	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{21} \cdot 3^{6} \cdot 5^{4} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.671053$	$75370704203521/7497765000$	$0.90865$	$3.67250$	$[0, -1, 0, -56321, -4662879]$	\(y^2=x^3-x^2-56321x-4662879\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
179520.eu1	179520fy2	179520.eu	179520fy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{21} \cdot 3^{6} \cdot 5^{4} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.803153420$	$1$		$9$	$884736$	$1.671053$	$75370704203521/7497765000$	$0.90865$	$3.67250$	$[0, 1, 0, -56321, 4662879]$	\(y^2=x^3+x^2-56321x+4662879\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(235, 2112)]$
185130.eb1	185130bk2	185130.eb	185130bk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{3} \cdot 3^{12} \cdot 5^{4} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.337957454$	$1$		$4$	$4423680$	$2.379585$	$75370704203521/7497765000$	$0.90865$	$4.36419$	$[1, -1, 1, -958343, 328842231]$	\(y^2+xy+y=x^3-x^2-958343x+328842231\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(1697, 59046)]$
224400.bk1	224400ex2	224400.bk	224400ex	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{15} \cdot 3^{6} \cdot 5^{10} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$2654208$	$2.129200$	$75370704203521/7497765000$	$0.90865$	$4.05219$	$[0, -1, 0, -352008, -73033488]$	\(y^2=x^3-x^2-352008x-73033488\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
274890.fj1	274890fj2	274890.fj	274890fj	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.400626974$	$1$		$6$	$1658880$	$1.604286$	$75370704203521/7497765000$	$0.90865$	$3.48359$	$[1, 0, 0, -43121, -3139935]$	\(y^2+xy=x^3-43121x-3139935\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-92, 271)]$
286110.de1	286110de2	286110.de	286110de	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{3} \cdot 3^{12} \cdot 5^{4} \cdot 11^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$10616832$	$2.597244$	$75370704203521/7497765000$	$0.90865$	$4.42087$	$[1, -1, 0, -2288934, -1212369012]$	\(y^2+xy=x^3-x^2-2288934x-1212369012\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
308550.ii1	308550ii2	308550.ii	308550ii	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{10} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.506073379$	$1$		$6$	$13271040$	$2.634998$	$75370704203521/7497765000$	$0.90865$	$4.43030$	$[1, 0, 0, -2662063, -1521530383]$	\(y^2+xy=x^3-2662063x-1521530383\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-892, 12425)]$
476850.o1	476850o2	476850.o	476850o	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{3} \cdot 3^{6} \cdot 5^{10} \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$4.538153850$	$1$		$2$	$31850496$	$2.852657$	$75370704203521/7497765000$	$0.90865$	$4.48257$	$[1, 1, 0, -6358150, 5612819500]$	\(y^2+xy=x^3+x^2-6358150x+5612819500\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(145, 68440)]$
493680.gj1	493680gj2	493680.gj	493680gj	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{15} \cdot 3^{6} \cdot 5^{4} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.125162555$	$1$		$7$	$13271040$	$2.523426$	$75370704203521/7497765000$	$0.90865$	$4.16934$	$[0, 1, 0, -1703720, 778342068]$	\(y^2=x^3+x^2-1703720x+778342068\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(436, 10890)]$