Elliptic curve search results

Results (18 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
1645.a1	1645b1	1645.a	1645b	$1$	$1$	\( 5 \cdot 7 \cdot 47 \)	\( - 5 \cdot 7^{2} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$470$	$2$	$0$	$0.594374289$	$1$		$4$	$104$	$-0.520352$	$-16777216/11515$	$0.83775$	$2.35198$	$[0, 1, 1, -5, -9]$	\(y^2+y=x^3+x^2-5x-9\)	470.2.0.?	$[(3, 3)]$
8225.b1	8225a1	8225.b	8225a	$1$	$1$	\( 5^{2} \cdot 7 \cdot 47 \)	\( - 5^{7} \cdot 7^{2} \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$1$	$1$		$0$	$2496$	$0.284367$	$-16777216/11515$	$0.83775$	$3.00327$	$[0, -1, 1, -133, -832]$	\(y^2+y=x^3-x^2-133x-832\)	470.2.0.?	$[]$
11515.e1	11515b1	11515.e	11515b	$1$	$1$	\( 5 \cdot 7^{2} \cdot 47 \)	\( - 5 \cdot 7^{8} \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$1$	$1$		$0$	$4992$	$0.452603$	$-16777216/11515$	$0.83775$	$3.11109$	$[0, -1, 1, -261, 2491]$	\(y^2+y=x^3-x^2-261x+2491\)	470.2.0.?	$[]$
14805.f1	14805c1	14805.f	14805c	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 47 \)	\( - 3^{6} \cdot 5 \cdot 7^{2} \cdot 47 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$0.626481230$	$1$		$8$	$2496$	$0.028954$	$-16777216/11515$	$0.83775$	$2.50026$	$[0, 0, 1, -48, 189]$	\(y^2+y=x^3-48x+189\)	470.2.0.?	$[(11, 31), (-3, 17)]$
26320.m1	26320k1	26320.m	26320k	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 47 \)	\( - 2^{12} \cdot 5 \cdot 7^{2} \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$1$	$1$		$0$	$7488$	$0.172795$	$-16777216/11515$	$0.83775$	$2.52851$	$[0, -1, 0, -85, 477]$	\(y^2=x^3-x^2-85x+477\)	470.2.0.?	$[]$
57575.i1	57575f1	57575.i	57575f	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 47 \)	\( - 5^{7} \cdot 7^{8} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$0.714824735$	$1$		$4$	$119808$	$1.257322$	$-16777216/11515$	$0.83775$	$3.53528$	$[0, 1, 1, -6533, 298344]$	\(y^2+y=x^3+x^2-6533x+298344\)	470.2.0.?	$[(-12, 612)]$
74025.s1	74025q1	74025.s	74025q	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 47 \)	\( - 3^{6} \cdot 5^{7} \cdot 7^{2} \cdot 47 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$0.585341964$	$1$		$12$	$59904$	$0.833673$	$-16777216/11515$	$0.83775$	$3.00263$	$[0, 0, 1, -1200, 23656]$	\(y^2+y=x^3-1200x+23656\)	470.2.0.?	$[(20, 87), (10, 112)]$
77315.c1	77315a1	77315.c	77315a	$1$	$1$	\( 5 \cdot 7 \cdot 47^{2} \)	\( - 5 \cdot 7^{2} \cdot 47^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$1.207797960$	$1$		$10$	$229632$	$1.404722$	$-16777216/11515$	$0.83775$	$3.59984$	$[0, 1, 1, -11781, 723795]$	\(y^2+y=x^3+x^2-11781x+723795\)	470.2.0.?	$[(-63, 1104), (13581/10, 1282929/10)]$
103635.u1	103635bk1	103635.u	103635bk	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 47 \)	\( - 3^{6} \cdot 5 \cdot 7^{8} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$3.921761904$	$1$		$2$	$119808$	$1.001909$	$-16777216/11515$	$0.83775$	$3.08995$	$[0, 0, 1, -2352, -64913]$	\(y^2+y=x^3-2352x-64913\)	470.2.0.?	$[(121, 1192)]$
105280.d1	105280w1	105280.d	105280w	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7 \cdot 47 \)	\( - 2^{6} \cdot 5 \cdot 7^{2} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$0.754030601$	$1$		$2$	$14976$	$-0.173779$	$-16777216/11515$	$0.83775$	$1.86577$	$[0, 1, 0, -21, 49]$	\(y^2=x^3+x^2-21x+49\)	470.2.0.?	$[(0, 7)]$
105280.bc1	105280e1	105280.bc	105280e	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7 \cdot 47 \)	\( - 2^{6} \cdot 5 \cdot 7^{2} \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$1$	$1$		$0$	$14976$	$-0.173779$	$-16777216/11515$	$0.83775$	$1.86577$	$[0, -1, 0, -21, -49]$	\(y^2=x^3-x^2-21x-49\)	470.2.0.?	$[]$
131600.c1	131600h1	131600.c	131600h	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 47 \)	\( - 2^{12} \cdot 5^{7} \cdot 7^{2} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$1.425645988$	$1$		$2$	$179712$	$0.977514$	$-16777216/11515$	$0.83775$	$3.00250$	$[0, 1, 0, -2133, 55363]$	\(y^2=x^3+x^2-2133x+55363\)	470.2.0.?	$[(38, 175)]$
184240.g1	184240h1	184240.g	184240h	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 47 \)	\( - 2^{12} \cdot 5 \cdot 7^{8} \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$1$	$1$		$0$	$359424$	$1.145750$	$-16777216/11515$	$0.83775$	$3.08569$	$[0, 1, 0, -4181, -155261]$	\(y^2=x^3+x^2-4181x-155261\)	470.2.0.?	$[]$
199045.c1	199045c1	199045.c	199045c	$1$	$1$	\( 5 \cdot 7 \cdot 11^{2} \cdot 47 \)	\( - 5 \cdot 7^{2} \cdot 11^{6} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$0.953968582$	$1$		$4$	$133120$	$0.678596$	$-16777216/11515$	$0.83775$	$2.60669$	$[0, 1, 1, -645, 9114]$	\(y^2+y=x^3+x^2-645x+9114\)	470.2.0.?	$[(18, 60)]$
236880.cl1	236880cl1	236880.cl	236880cl	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 47 \)	\( - 2^{12} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$5.011137801$	$1$		$2$	$179712$	$0.722101$	$-16777216/11515$	$0.83775$	$2.61222$	$[0, 0, 0, -768, -12112]$	\(y^2=x^3-768x-12112\)	470.2.0.?	$[(433, 8991)]$
278005.m1	278005m1	278005.m	278005m	$1$	$1$	\( 5 \cdot 7 \cdot 13^{2} \cdot 47 \)	\( - 5 \cdot 7^{2} \cdot 13^{6} \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$1$	$1$		$0$	$243360$	$0.762122$	$-16777216/11515$	$0.83775$	$2.61717$	$[0, 1, 1, -901, -15700]$	\(y^2+y=x^3+x^2-901x-15700\)	470.2.0.?	$[]$
386575.h1	386575h1	386575.h	386575h	$1$	$1$	\( 5^{2} \cdot 7 \cdot 47^{2} \)	\( - 5^{7} \cdot 7^{2} \cdot 47^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$2.244535830$	$1$		$0$	$5511168$	$2.209442$	$-16777216/11515$	$0.83775$	$3.90010$	$[0, -1, 1, -294533, 91063468]$	\(y^2+y=x^3-x^2-294533x+91063468\)	470.2.0.?	$[(-5402/3, 193274/3)]$
475405.g1	475405g1	475405.g	475405g	$1$	$1$	\( 5 \cdot 7 \cdot 17^{2} \cdot 47 \)	\( - 5 \cdot 7^{2} \cdot 17^{6} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$470$	$2$	$0$	$3.271922818$	$1$		$0$	$532480$	$0.896255$	$-16777216/11515$	$0.83775$	$2.63289$	$[0, -1, 1, -1541, -33923]$	\(y^2+y=x^3-x^2-1541x-33923\)	470.2.0.?	$[(793/4, 6037/4)]$