Elliptic curve search results

Results (10 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
28050.d1	28050r1	28050.d	28050r	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{6} \cdot 5^{4} \cdot 11 \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$0.305304259$	$1$		$16$	$22464$	$0.511690$	$-4802500825/4634982$	$0.87406$	$2.90101$	$[1, 1, 0, -300, 3150]$	\(y^2+xy=x^3+x^2-300x+3150\)	88.2.0.?	$[(5, 40), (-15, 75)]$
28050.ds1	28050df1	28050.ds	28050df	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{6} \cdot 5^{10} \cdot 11 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$1$	$1$		$0$	$112320$	$1.316408$	$-4802500825/4634982$	$0.87406$	$3.84388$	$[1, 0, 0, -7513, 408767]$	\(y^2+xy=x^3-7513x+408767\)	88.2.0.?	$[]$
84150.dp1	84150cl1	84150.dp	84150cl	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{12} \cdot 5^{10} \cdot 11 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$10.89381503$	$1$		$0$	$898560$	$1.865715$	$-4802500825/4634982$	$0.87406$	$4.05275$	$[1, -1, 0, -67617, -11036709]$	\(y^2+xy=x^3-x^2-67617x-11036709\)	88.2.0.?	$[(205471/10, 91284651/10)]$
84150.dy1	84150he1	84150.dy	84150he	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{12} \cdot 5^{4} \cdot 11 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$1$	$1$		$0$	$179712$	$1.060997$	$-4802500825/4634982$	$0.87406$	$3.20123$	$[1, -1, 1, -2705, -87753]$	\(y^2+xy+y=x^3-x^2-2705x-87753\)	88.2.0.?	$[]$
224400.o1	224400ej1	224400.o	224400ej	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{13} \cdot 3^{6} \cdot 5^{10} \cdot 11 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$1$	$1$		$0$	$2695680$	$2.009556$	$-4802500825/4634982$	$0.87406$	$3.87023$	$[0, -1, 0, -120208, -26161088]$	\(y^2=x^3-x^2-120208x-26161088\)	88.2.0.?	$[]$
224400.ij1	224400x1	224400.ij	224400x	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{13} \cdot 3^{6} \cdot 5^{4} \cdot 11 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$0.615351515$	$1$		$6$	$539136$	$1.204838$	$-4802500825/4634982$	$0.87406$	$3.08648$	$[0, 1, 0, -4808, -211212]$	\(y^2=x^3+x^2-4808x-211212\)	88.2.0.?	$[(148, 1530)]$
308550.da1	308550da1	308550.da	308550da	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2 \cdot 3^{6} \cdot 5^{10} \cdot 11^{7} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$2.226230905$	$1$		$4$	$13478400$	$2.515358$	$-4802500825/4634982$	$0.87406$	$4.25292$	$[1, 0, 1, -909076, -544977952]$	\(y^2+xy+y=x^3-909076x-544977952\)	88.2.0.?	$[(1198, 8657)]$
308550.hm1	308550hm1	308550.hm	308550hm	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2 \cdot 3^{6} \cdot 5^{4} \cdot 11^{7} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$3.508651670$	$1$		$0$	$2695680$	$1.710638$	$-4802500825/4634982$	$0.87406$	$3.48892$	$[1, 1, 1, -36363, -4374369]$	\(y^2+xy+y=x^3+x^2-36363x-4374369\)	88.2.0.?	$[(5095/2, 354271/2)]$
476850.fo1	476850fo1	476850.fo	476850fo	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2 \cdot 3^{6} \cdot 5^{4} \cdot 11 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$1$	$1$		$0$	$6469632$	$1.928297$	$-4802500825/4634982$	$0.87406$	$3.57253$	$[1, 0, 1, -86851, 16083548]$	\(y^2+xy+y=x^3-86851x+16083548\)	88.2.0.?	$[]$
476850.gb1	476850gb1	476850.gb	476850gb	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2 \cdot 3^{6} \cdot 5^{10} \cdot 11 \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$88$	$2$	$0$	$17.62513838$	$1$		$0$	$32348160$	$2.733017$	$-4802500825/4634982$	$0.87406$	$4.31109$	$[1, 1, 1, -2171263, 2010443531]$	\(y^2+xy+y=x^3+x^2-2171263x+2010443531\)	88.2.0.?	$[(-105385009/310, 1668104054481/310)]$