Elliptic curves over Q\Q of conductor 1045

Results (6 matches)

  Download displayed columns for results to

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
1045.a1	1045a2	1045.a	1045a	$2$	$2$	$5 \cdot 11 \cdot 19$	$5 \cdot 11^{2} \cdot 19^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4180$	$12$	$0$	$0.342154040$	$1$		$8$	$128$	$-0.226044$	$3301293169/218405$	$0.81334$	$3.15280$	$[1, 0, 0, -31, 60]$	$y^2+xy=x^3-31x+60$	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(1, 5)]$
1045.a2	1045a1	1045.a	1045a	$2$	$2$	$5 \cdot 11 \cdot 19$	$5^{2} \cdot 11 \cdot 19$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4180$	$12$	$0$	$0.684308081$	$1$		$7$	$64$	$-0.572618$	$24137569/5225$	$0.98391$	$2.44532$	$[1, 0, 0, -6, -5]$	$y^2+xy=x^3-6x-5$	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(3, 1)]$
1045.b1	1045b3	1045.b	1045b	$4$	$4$	$5 \cdot 11 \cdot 19$	$5^{4} \cdot 11 \cdot 19^{12}$	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$1672$	$48$	$0$	$6.655271875$	$1$		$2$	$17664$	$2.408970$	$116256292809537371612841/15216540068579856875$	$1.02754$	$7.63979$	$[1, -1, 0, -1016789, -346894930]$	$y^2+xy=x^3-x^2-1016789x-346894930$	2.3.0.a.1, 4.12.0-4.c.1.1, 44.24.0-44.h.1.2, 152.24.0.?, 1672.48.0.?	$[(-35486/7, 1167396/7)]$
1045.b2	1045b2	1045.b	1045b	$4$	$4$	$5 \cdot 11 \cdot 19$	$5^{8} \cdot 11^{2} \cdot 19^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$836$	$48$	$0$	$3.327635937$	$1$		$4$	$8832$	$2.062397$	$104859453317683374662841/2223652969140625$	$1.04825$	$7.62495$	$[1, -1, 0, -982414, -374539305]$	$y^2+xy=x^3-x^2-982414x-374539305$	2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.a.1.1, 76.24.0.?, 836.48.0.?	$[(5206, 365617)]$
1045.b3	1045b1	1045.b	1045b	$4$	$4$	$5 \cdot 11 \cdot 19$	$5^{4} \cdot 11 \cdot 19^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$1672$	$48$	$0$	$6.655271875$	$1$		$1$	$4416$	$1.715824$	$104857852278310619039721/47155625$	$1.04825$	$7.62495$	$[1, -1, 0, -982409, -374543312]$	$y^2+xy=x^3-x^2-982409x-374543312$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.2, 76.12.0.?, $\ldots$	$[(13348/3, 1000658/3)]$
1045.b4	1045b4	1045.b	1045b	$4$	$4$	$5 \cdot 11 \cdot 19$	$- 5^{16} \cdot 11^{4} \cdot 19^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$1672$	$48$	$0$	$1.663817968$	$1$		$4$	$17664$	$2.408970$	$-94256762600623910012361/15323275604248046875$	$1.02668$	$7.64523$	$[1, -1, 0, -948119, -401927292]$	$y^2+xy=x^3-x^2-948119x-401927292$	2.3.0.a.1, 4.12.0-4.c.1.2, 38.6.0.b.1, 76.24.0.?, 88.24.0.?, $\ldots$	$[(1292, 22344)]$

  Download displayed columns for results to