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
9240.n1	9240v1	9240.n	9240v	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$2304$	$0.051452$	$188183524/3465$	$0.90568$	$2.84564$	$[0, -1, 0, -120, 540]$	\(y^2=x^3-x^2-120x+540\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
18480.cu1	18480bb1	18480.cu	18480bb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$4608$	$0.051452$	$188183524/3465$	$0.90568$	$2.64487$	$[0, 1, 0, -120, -540]$	\(y^2=x^3+x^2-120x-540\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
27720.v1	27720i1	27720.v	27720i	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$18432$	$0.600759$	$188183524/3465$	$0.90568$	$3.18440$	$[0, 0, 0, -1083, -13498]$	\(y^2=x^3-1083x-13498\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
46200.cb1	46200ba1	46200.cb	46200ba	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$55296$	$0.856172$	$188183524/3465$	$0.90568$	$3.31830$	$[0, 1, 0, -3008, 61488]$	\(y^2=x^3+x^2-3008x+61488\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
55440.n1	55440e1	55440.n	55440e	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.565613261$	$1$		$17$	$36864$	$0.600759$	$188183524/3465$	$0.90568$	$2.98232$	$[0, 0, 0, -1083, 13498]$	\(y^2=x^3-1083x+13498\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(11, 54), (26, 54)]$
64680.bz1	64680cn1	64680.bz	64680cn	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{7} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$110592$	$1.024406$	$188183524/3465$	$0.90568$	$3.39976$	$[0, 1, 0, -5896, -173440]$	\(y^2=x^3+x^2-5896x-173440\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
73920.j1	73920dx1	73920.j	73920dx	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.398026$	$188183524/3465$	$0.90568$	$2.68879$	$[0, -1, 0, -481, -3839]$	\(y^2=x^3-x^2-481x-3839\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
73920.gb1	73920ct1	73920.gb	73920ct	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.398026$	$188183524/3465$	$0.90568$	$2.68879$	$[0, 1, 0, -481, 3839]$	\(y^2=x^3+x^2-481x+3839\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
92400.do1	92400u1	92400.do	92400u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.987727764$	$1$		$5$	$110592$	$0.856172$	$188183524/3465$	$0.90568$	$3.11714$	$[0, -1, 0, -3008, -61488]$	\(y^2=x^3-x^2-3008x-61488\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-34, 18)]$
101640.r1	101640g1	101640.r	101640g	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$2.644894506$	$1$		$3$	$276480$	$1.250401$	$188183524/3465$	$0.90568$	$3.50170$	$[0, -1, 0, -14560, -660548]$	\(y^2=x^3-x^2-14560x-660548\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(213, 2420)]$
129360.bu1	129360w1	129360.bu	129360w	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.620553478$	$1$		$9$	$221184$	$1.024406$	$188183524/3465$	$0.90568$	$3.19955$	$[0, -1, 0, -5896, 173440]$	\(y^2=x^3-x^2-5896x+173440\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(54, 98)]$
138600.cc1	138600br1	138600.cc	138600br	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.405478$	$188183524/3465$	$0.90568$	$3.56715$	$[0, 0, 0, -27075, -1687250]$	\(y^2=x^3-27075x-1687250\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
194040.es1	194040cg1	194040.es	194040cg	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$3.847408252$	$1$		$3$	$884736$	$1.573713$	$188183524/3465$	$0.90568$	$3.63438$	$[0, 0, 0, -53067, 4629814]$	\(y^2=x^3-53067x+4629814\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-265, 288)]$
203280.gw1	203280er1	203280.gw	203280er	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$3.418892776$	$1$		$3$	$552960$	$1.250401$	$188183524/3465$	$0.90568$	$3.30311$	$[0, 1, 0, -14560, 660548]$	\(y^2=x^3+x^2-14560x+660548\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(8, 738)]$
221760.jc1	221760bw1	221760.jc	221760bw	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.994066886$	$1$		$5$	$294912$	$0.947332$	$188183524/3465$	$0.90568$	$2.98431$	$[0, 0, 0, -4332, 107984]$	\(y^2=x^3-4332x+107984\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(50, 128)]$
221760.lk1	221760ip1	221760.lk	221760ip	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$6.399855331$	$1$		$7$	$294912$	$0.947332$	$188183524/3465$	$0.90568$	$2.98431$	$[0, 0, 0, -4332, -107984]$	\(y^2=x^3-4332x-107984\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-40, 36), (366, 6880)]$
277200.jf1	277200jf1	277200.jf	277200jf	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.704880712$	$1$		$9$	$884736$	$1.405478$	$188183524/3465$	$0.90568$	$3.36986$	$[0, 0, 0, -27075, 1687250]$	\(y^2=x^3-27075x+1687250\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(145, 900)]$
304920.o1	304920o1	304920.o	304920o	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$2211840$	$1.799706$	$188183524/3465$	$0.90568$	$3.71905$	$[0, 0, 0, -131043, 17965838]$	\(y^2=x^3-131043x+17965838\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
323400.z1	323400z1	323400.z	323400z	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 7^{7} \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$3.406163583$	$1$		$13$	$2654208$	$1.829126$	$188183524/3465$	$0.90568$	$3.72963$	$[0, -1, 0, -147408, -21385188]$	\(y^2=x^3-x^2-147408x-21385188\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(3162, 176400), (-238, 400)]$
369600.ek1	369600ek1	369600.ek	369600ek	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.911801346$	$1$		$17$	$884736$	$1.202745$	$188183524/3465$	$0.90568$	$3.10447$	$[0, -1, 0, -12033, 503937]$	\(y^2=x^3-x^2-12033x+503937\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(47, 200), (72, 75)]$
369600.se1	369600se1	369600.se	369600se	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.202745$	$188183524/3465$	$0.90568$	$3.10447$	$[0, 1, 0, -12033, -503937]$	\(y^2=x^3+x^2-12033x-503937\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
388080.jr1	388080jr1	388080.jr	388080jr	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 7^{7} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$1769472$	$1.573713$	$188183524/3465$	$0.90568$	$3.43862$	$[0, 0, 0, -53067, -4629814]$	\(y^2=x^3-53067x-4629814\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$