Elliptic curves over $\Q$ of conductor 134540

Results (13 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
134540.a1	134540a1	134540.a	134540a	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{5} \cdot 31^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$11.06404829$	$1$		$0$	$1814400$	$1.805927$	$14155776/84035$	$1.21697$	$3.79693$	$[0, 0, 0, 30752, -6315692]$	\(y^2=x^3+30752x-6315692\)	70.2.0.a.1	$[(1938461/19, 2700276421/19)]$
134540.b1	134540c2	134540.b	134540c	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( 2^{8} \cdot 5^{3} \cdot 7^{3} \cdot 31^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$420$	$16$	$0$	$1.833560817$	$1$		$2$	$4218480$	$2.414330$	$1332067024/42875$	$0.79969$	$4.57484$	$[0, 1, 0, -1380316, -607042380]$	\(y^2=x^3+x^2-1380316x-607042380\)	3.8.0-3.a.1.1, 140.2.0.?, 420.16.0.?	$[(-641, 3844)]$
134540.b2	134540c1	134540.b	134540c	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( 2^{8} \cdot 5 \cdot 7 \cdot 31^{8} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$420$	$16$	$0$	$5.500682451$	$1$		$4$	$1406160$	$1.865023$	$3402064/35$	$0.68724$	$4.06931$	$[0, 1, 0, -188676, 31200004]$	\(y^2=x^3+x^2-188676x+31200004\)	3.8.0-3.a.1.2, 140.2.0.?, 420.16.0.?	$[(167, 2092)]$
134540.c1	134540b1	134540.c	134540b	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( 2^{8} \cdot 5^{5} \cdot 7^{4} \cdot 31^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.113217893$	$1$		$10$	$316800$	$1.190760$	$1182772043776/7503125$	$0.91936$	$3.40502$	$[0, 1, 0, -13805, 616303]$	\(y^2=x^3+x^2-13805x+616303\)	10.2.0.a.1	$[(61, 70)]$
134540.d1	134540f1	134540.d	134540f	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( - 2^{8} \cdot 5^{5} \cdot 7^{2} \cdot 31^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$310$	$2$	$0$	$4.523669965$	$1$		$0$	$5237760$	$2.717373$	$87228416/153125$	$0.90257$	$4.69489$	$[0, -1, 0, 1747739, -1268747935]$	\(y^2=x^3-x^2+1747739x-1268747935\)	310.2.0.?	$[(15064/5, 208537/5)]$
134540.e1	134540d2	134540.e	134540d	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{3} \cdot 31^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$6510$	$16$	$0$	$2.384263725$	$1$		$2$	$1036800$	$1.974541$	$-225637236736/1715$	$1.02937$	$4.42786$	$[0, -1, 0, -773925, 262317265]$	\(y^2=x^3-x^2-773925x+262317265\)	3.4.0.a.1, 70.2.0.a.1, 93.8.0.?, 210.8.0.?, 6510.16.0.?	$[(672, 6727)]$
134540.e2	134540d1	134540.e	134540d	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( - 2^{8} \cdot 5^{3} \cdot 7 \cdot 31^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$6510$	$16$	$0$	$0.794754575$	$1$		$4$	$345600$	$1.425236$	$-65536/875$	$0.97204$	$3.42267$	$[0, -1, 0, -5125, 694625]$	\(y^2=x^3-x^2-5125x+694625\)	3.4.0.a.1, 70.2.0.a.1, 93.8.0.?, 210.8.0.?, 6510.16.0.?	$[(455, 9610)]$
134540.f1	134540e1	134540.f	134540e	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{3} \cdot 31^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$6510$	$16$	$0$	$1.453296806$	$1$		$4$	$1658880$	$2.325489$	$-10035552256/41202875$	$0.87578$	$4.34135$	$[0, -1, 0, -274205, -157147703]$	\(y^2=x^3-x^2-274205x-157147703\)	3.4.0.a.1, 70.2.0.a.1, 93.8.0.?, 210.8.0.?, 6510.16.0.?	$[(827, 13454)]$
134540.f2	134540e2	134540.f	134540e	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( - 2^{8} \cdot 5 \cdot 7 \cdot 31^{12} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$6510$	$16$	$0$	$4.359890418$	$9$	$3$	$2$	$4976640$	$2.874794$	$6869498322944/31062628835$	$0.93738$	$4.87960$	$[0, -1, 0, 2416595, 3773572937]$	\(y^2=x^3-x^2+2416595x+3773572937\)	3.4.0.a.1, 70.2.0.a.1, 93.8.0.?, 210.8.0.?, 6510.16.0.?	$[(-568, 47089)]$
134540.g1	134540g1	134540.g	134540g	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( - 2^{8} \cdot 5^{5} \cdot 7^{2} \cdot 31^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$310$	$2$	$0$	$0.767855316$	$1$		$4$	$168960$	$1.000381$	$87228416/153125$	$0.90257$	$2.95021$	$[0, 1, 0, 1819, 43175]$	\(y^2=x^3+x^2+1819x+43175\)	310.2.0.?	$[(41, 434)]$
134540.h1	134540i2	134540.h	134540i	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( 2^{8} \cdot 5^{3} \cdot 7^{3} \cdot 31^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$13020$	$16$	$0$	$1$	$1$		$0$	$136080$	$0.697334$	$1332067024/42875$	$0.79969$	$2.83016$	$[0, -1, 0, -1436, 20840]$	\(y^2=x^3-x^2-1436x+20840\)	3.4.0.a.1, 93.8.0.?, 140.2.0.?, 420.8.0.?, 13020.16.0.?	$[]$
134540.h2	134540i1	134540.h	134540i	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( 2^{8} \cdot 5 \cdot 7 \cdot 31^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$13020$	$16$	$0$	$1$	$1$		$0$	$45360$	$0.148028$	$3402064/35$	$0.68724$	$2.32463$	$[0, -1, 0, -196, -984]$	\(y^2=x^3-x^2-196x-984\)	3.4.0.a.1, 93.8.0.?, 140.2.0.?, 420.8.0.?, 13020.16.0.?	$[]$
134540.i1	134540h1	134540.i	134540h	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 31^{2} \)	\( 2^{8} \cdot 5^{5} \cdot 7^{4} \cdot 31^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$9820800$	$2.907753$	$1182772043776/7503125$	$0.91936$	$5.14970$	$[0, -1, 0, -13266925, -18492950823]$	\(y^2=x^3-x^2-13266925x-18492950823\)	10.2.0.a.1	$[]$