Elliptic curve search results

Results (27 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
2310.e2	2310e2	2310.e	2310e	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{5} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$1920$	$0.592707$	$3342032927351/8893500000$	$0.93666$	$3.88871$	$[1, 0, 1, 311, -3988]$	\(y^2+xy+y=x^3+311x-3988\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
6930.be2	6930bf2	6930.be	6930bf	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{5} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.100187196$	$1$		$20$	$15360$	$1.142012$	$3342032927351/8893500000$	$0.93666$	$4.15099$	$[1, -1, 1, 2803, 107669]$	\(y^2+xy+y=x^3-x^2+2803x+107669\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(-3, 316)]$
11550.bu2	11550bp2	11550.bu	11550bp	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{5} \cdot 3 \cdot 5^{12} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.997990982$	$1$		$6$	$46080$	$1.397425$	$3342032927351/8893500000$	$0.93666$	$4.25196$	$[1, 1, 1, 7787, -498469]$	\(y^2+xy+y=x^3+x^2+7787x-498469\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(145, 1852)]$
16170.m2	16170k2	16170.m	16170k	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{5} \cdot 3 \cdot 5^{6} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.759371192$	$1$		$6$	$92160$	$1.565660$	$3342032927351/8893500000$	$0.93666$	$4.31265$	$[1, 1, 0, 15263, 1383061]$	\(y^2+xy=x^3+x^2+15263x+1383061\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(27, 1334)]$
18480.w2	18480bz2	18480.w	18480bz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{17} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$46080$	$1.285854$	$3342032927351/8893500000$	$0.93666$	$3.91227$	$[0, -1, 0, 4984, 255216]$	\(y^2=x^3-x^2+4984x+255216\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
25410.cq2	25410cq2	25410.cq	25410cq	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{5} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.740778221$	$1$		$4$	$230400$	$1.791655$	$3342032927351/8893500000$	$0.93666$	$4.38784$	$[1, 0, 0, 37689, 5345385]$	\(y^2+xy=x^3+37689x+5345385\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(164, 3911)]$
34650.ca2	34650bf2	34650.ca	34650bf	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{5} \cdot 3^{7} \cdot 5^{12} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$368640$	$1.946732$	$3342032927351/8893500000$	$0.93666$	$4.43568$	$[1, -1, 0, 70083, 13528741]$	\(y^2+xy=x^3-x^2+70083x+13528741\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
48510.da2	48510dd2	48510.da	48510dd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{5} \cdot 3^{7} \cdot 5^{6} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.557853490$	$1$		$6$	$737280$	$2.114967$	$3342032927351/8893500000$	$0.93666$	$4.48446$	$[1, -1, 1, 137362, -37205283]$	\(y^2+xy+y=x^3-x^2+137362x-37205283\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(317, 6015)]$
55440.ec2	55440em2	55440.ec	55440em	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{17} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.728004720$	$1$		$9$	$368640$	$1.835159$	$3342032927351/8893500000$	$0.93666$	$4.12225$	$[0, 0, 0, 44853, -6935686]$	\(y^2=x^3+44853x-6935686\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(293, 5600)]$
73920.da2	73920bd2	73920.da	73920bd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{23} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.032255359$	$1$		$7$	$368640$	$1.632427$	$3342032927351/8893500000$	$0.93666$	$3.79946$	$[0, -1, 0, 19935, -2061663]$	\(y^2=x^3-x^2+19935x-2061663\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(89, 640)]$
73920.hu2	73920hy2	73920.hu	73920hy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{23} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.220281578$	$1$		$3$	$368640$	$1.632427$	$3342032927351/8893500000$	$0.93666$	$3.79946$	$[0, 1, 0, 19935, 2061663]$	\(y^2=x^3+x^2+19935x+2061663\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(551, 13440)]$
76230.ch2	76230cg2	76230.ch	76230cg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{5} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.971292634$	$1$		$6$	$1843200$	$2.340961$	$3342032927351/8893500000$	$0.93666$	$4.54540$	$[1, -1, 0, 339201, -144325395]$	\(y^2+xy=x^3-x^2+339201x-144325395\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(531, 13347)]$
80850.ga2	80850fq2	80850.ga	80850fq	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{5} \cdot 3 \cdot 5^{12} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$2211840$	$2.370380$	$3342032927351/8893500000$	$0.93666$	$4.55297$	$[1, 0, 0, 381562, 172119492]$	\(y^2+xy=x^3+381562x+172119492\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
92400.fv2	92400gk2	92400.fv	92400gk	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{17} \cdot 3 \cdot 5^{12} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$1105920$	$2.090572$	$3342032927351/8893500000$	$0.93666$	$4.20614$	$[0, 1, 0, 124592, 32151188]$	\(y^2=x^3+x^2+124592x+32151188\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
127050.p2	127050c2	127050.p	127050c	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{5} \cdot 3 \cdot 5^{12} \cdot 7^{2} \cdot 11^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$8.066575614$	$1$		$6$	$5529600$	$2.596375$	$3342032927351/8893500000$	$0.93666$	$4.60862$	$[1, 1, 0, 942225, 668173125]$	\(y^2+xy=x^3+x^2+942225x+668173125\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(325, 31600), (-511, 7576)]$
129360.hn2	129360hv2	129360.hn	129360hv	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{17} \cdot 3 \cdot 5^{6} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$2211840$	$2.258808$	$3342032927351/8893500000$	$0.93666$	$4.25742$	$[0, 1, 0, 244200, -88027500]$	\(y^2=x^3+x^2+244200x-88027500\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
177870.gi2	177870cx2	177870.gi	177870cx	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{5} \cdot 3 \cdot 5^{6} \cdot 7^{8} \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.261154618$	$1$		$6$	$11059200$	$2.764610$	$3342032927351/8893500000$	$0.93666$	$4.64735$	$[1, 1, 1, 1846760, -1831620295]$	\(y^2+xy+y=x^3+x^2+1846760x-1831620295\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(1513, 65793)]$
203280.p2	203280eb2	203280.p	203280eb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{17} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$2.426803770$	$1$		$3$	$5529600$	$2.484802$	$3342032927351/8893500000$	$0.93666$	$4.32186$	$[0, -1, 0, 603024, -342104640]$	\(y^2=x^3-x^2+603024x-342104640\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(12808, 1452000)]$
221760.w2	221760mc2	221760.w	221760mc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{23} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$2949120$	$2.181732$	$3342032927351/8893500000$	$0.93666$	$3.99586$	$[0, 0, 0, 179412, 55485488]$	\(y^2=x^3+179412x+55485488\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
221760.ft2	221760di2	221760.ft	221760di	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{23} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$3.697330134$	$1$		$3$	$2949120$	$2.181732$	$3342032927351/8893500000$	$0.93666$	$3.99586$	$[0, 0, 0, 179412, -55485488]$	\(y^2=x^3+179412x-55485488\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(764, 22968)]$
242550.fp2	242550fp2	242550.fp	242550fp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{5} \cdot 3^{7} \cdot 5^{12} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$17694720$	$2.919685$	$3342032927351/8893500000$	$0.93666$	$4.68119$	$[1, -1, 0, 3434058, -4647226284]$	\(y^2+xy=x^3-x^2+3434058x-4647226284\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
277200.bq2	277200bq2	277200.bq	277200bq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{17} \cdot 3^{7} \cdot 5^{12} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$2.701244966$	$1$		$5$	$8847360$	$2.639877$	$3342032927351/8893500000$	$0.93666$	$4.36339$	$[0, 0, 0, 1121325, -866960750]$	\(y^2=x^3+1121325x-866960750\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(695, 15750)]$
369600.bx2	369600bx2	369600.bx	369600bx	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{23} \cdot 3 \cdot 5^{12} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$8847360$	$2.437145$	$3342032927351/8893500000$	$0.93666$	$4.07571$	$[0, -1, 0, 498367, 256711137]$	\(y^2=x^3-x^2+498367x+256711137\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
369600.wg2	369600wg2	369600.wg	369600wg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{23} \cdot 3 \cdot 5^{12} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$8847360$	$2.437145$	$3342032927351/8893500000$	$0.93666$	$4.07571$	$[0, 1, 0, 498367, -256711137]$	\(y^2=x^3+x^2+498367x-256711137\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
381150.ku2	381150ku2	381150.ku	381150ku	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{5} \cdot 3^{7} \cdot 5^{12} \cdot 7^{2} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$44236800$	$3.145679$	$3342032927351/8893500000$	$0.93666$	$4.72757$	$[1, -1, 1, 8480020, -18032194353]$	\(y^2+xy+y=x^3-x^2+8480020x-18032194353\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
388080.cf2	388080cf2	388080.cf	388080cf	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{17} \cdot 3^{7} \cdot 5^{6} \cdot 7^{8} \cdot 11^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$2.430052956$	$1$		$19$	$17694720$	$2.808113$	$3342032927351/8893500000$	$0.93666$	$4.40618$	$[0, 0, 0, 2197797, 2378940298]$	\(y^2=x^3+2197797x+2378940298\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[(-451, 36000), (791, 67914)]$
390390.fb2	390390fb2	390390.fb	390390fb	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( - 2^{5} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$4515840$	$1.875181$	$3342032927351/8893500000$	$0.93666$	$3.53461$	$[1, 0, 0, 52640, -8813728]$	\(y^2+xy=x^3+52640x-8813728\)	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$