Elliptic curves over $\Q$ of conductor 19220

Results (9 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
19220.a1	19220a1	19220.a	19220a	$2$	$3$	\( 2^{2} \cdot 5 \cdot 31^{2} \)	\( - 2^{8} \cdot 5 \cdot 31^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$930$	$16$	$0$	$2.969332164$	$1$		$2$	$69120$	$1.570454$	$-449511424/155$	$0.89260$	$4.67100$	$[0, -1, 0, -97381, -11667679]$	\(y^2=x^3-x^2-97381x-11667679\)	3.4.0.a.1, 30.8.0-3.a.1.1, 93.8.0.?, 310.2.0.?, 930.16.0.?	$[(424, 4805)]$
19220.a2	19220a2	19220.a	19220a	$2$	$3$	\( 2^{2} \cdot 5 \cdot 31^{2} \)	\( - 2^{8} \cdot 5^{3} \cdot 31^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$930$	$16$	$0$	$8.907996492$	$1$		$0$	$207360$	$2.119759$	$87228416/3723875$	$0.99928$	$4.93937$	$[0, -1, 0, 56379, -43972655]$	\(y^2=x^3-x^2+56379x-43972655\)	3.4.0.a.1, 30.8.0-3.a.1.2, 93.8.0.?, 310.2.0.?, 930.16.0.?	$[(133720/19, 36032695/19)]$
19220.b1	19220c2	19220.b	19220c	$2$	$2$	\( 2^{2} \cdot 5 \cdot 31^{2} \)	\( 2^{8} \cdot 5^{10} \cdot 31^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$620$	$12$	$0$	$1$	$1$		$1$	$345600$	$2.504673$	$759636032976/302734375$	$1.00201$	$5.42445$	$[0, 0, 0, -1159927, -268297746]$	\(y^2=x^3-1159927x-268297746\)	2.3.0.a.1, 20.6.0.c.1, 124.6.0.?, 620.12.0.?	$[]$
19220.b2	19220c1	19220.b	19220c	$2$	$2$	\( 2^{2} \cdot 5 \cdot 31^{2} \)	\( 2^{4} \cdot 5^{5} \cdot 31^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$620$	$12$	$0$	$1$	$1$		$1$	$172800$	$2.158100$	$8047314026496/3003125$	$1.01698$	$5.38265$	$[0, 0, 0, -1010972, -391126039]$	\(y^2=x^3-1010972x-391126039\)	2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.?	$[]$
19220.c1	19220b3	19220.c	19220b	$4$	$6$	\( 2^{2} \cdot 5 \cdot 31^{2} \)	\( 2^{4} \cdot 5^{3} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$3720$	$384$	$9$	$8.763898028$	$1$		$1$	$45360$	$1.336349$	$488095744/125$	$1.07376$	$4.39820$	$[0, -1, 0, -39721, 3059646]$	\(y^2=x^3-x^2-39721x+3059646\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$	$[(-84999/28, 54128325/28)]$
19220.c2	19220b4	19220.c	19220b	$4$	$6$	\( 2^{2} \cdot 5 \cdot 31^{2} \)	\( - 2^{8} \cdot 5^{6} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$3720$	$384$	$9$	$17.52779605$	$1$		$1$	$90720$	$1.682922$	$-20720464/15625$	$0.95894$	$4.44356$	$[0, -1, 0, -34916, 3822680]$	\(y^2=x^3-x^2-34916x+3822680\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$	$[(423221773/751, 8467011262500/751)]$
19220.c3	19220b1	19220.c	19220b	$4$	$6$	\( 2^{2} \cdot 5 \cdot 31^{2} \)	\( 2^{4} \cdot 5 \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$3720$	$384$	$9$	$2.921299342$	$1$		$1$	$15120$	$0.787044$	$16384/5$	$0.95621$	$3.35377$	$[0, -1, 0, -1281, -11710]$	\(y^2=x^3-x^2-1281x-11710\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$	$[(406/3, 3844/3)]$
19220.c4	19220b2	19220.c	19220b	$4$	$6$	\( 2^{2} \cdot 5 \cdot 31^{2} \)	\( - 2^{8} \cdot 5^{2} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$3720$	$384$	$9$	$5.842598685$	$1$		$3$	$30240$	$1.133617$	$21296/25$	$0.83964$	$3.66429$	$[0, -1, 0, 3524, -82824]$	\(y^2=x^3-x^2+3524x-82824\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$	$[(741, 20220)]$
19220.d1	19220d1	19220.d	19220d	$1$	$1$	\( 2^{2} \cdot 5 \cdot 31^{2} \)	\( - 2^{8} \cdot 5 \cdot 31^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$310$	$2$	$0$	$1$	$1$		$0$	$69120$	$1.287889$	$221184/155$	$0.73786$	$3.89872$	$[0, 0, 0, 7688, -119164]$	\(y^2=x^3+7688x-119164\)	310.2.0.?	$[]$